(VAR A Ai_ B Bi_ C Ci_ P Q R S X Y a a0 a1 a2 ai_ b bi_ c c1 c2 ci_ d e e1 e2 e3 f f1 f2 fi_ g g1 g2 h h1 h2 i0 i1 i2 j k l l1 l2 lab m n n10 n20 net0 op p q r r1 r2 rel s0 sgn t t1 t2 top u u_ v v0 v1 v2 v3 w w0 w1 w2 w3 x x1 x2 x3 x4 x5 x6 xi_ y y1 y2 y3 yi_ z z1 z2 ) (RULES i(i(realu_div,i(realu_abs,i(i(realu_add,i(i(realu_mul,i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,a),i(NUMERAL,i(BIT1,u_0))))),i(i(realu_mul,i(i(realu_sub,i(i(d_,c),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,a),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(realu_sub,i(i(d_,d),i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(i(d_,a),i(NUMERAL,i(BIT1,i(BIT1,u_0)))))))),i(i(realu_add,i(i(realu_mul,i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,a),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(realu_mul,i(i(realu_sub,i(i(d_,c),i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(i(d_,a),i(NUMERAL,i(BIT1,i(BIT1,u_0)))))),i(i(realu_sub,i(i(d_,d),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,a),i(NUMERAL,i(BIT1,u_0))))))),i(i(realu_sub,i(i(realu_sub,i(i(realu_sub,i(i(realu_mul,i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(i(d_,a),i(NUMERAL,i(BIT1,i(BIT1,u_0)))))),i(i(realu_mul,i(i(realu_sub,i(i(d_,c),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,a),i(NUMERAL,i(BIT1,u_0))))),i(i(realu_sub,i(i(d_,d),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,a),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))))),i(i(realu_mul,i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,a),i(NUMERAL,i(BIT1,u_0))))),i(i(realu_mul,i(i(realu_sub,i(i(d_,c),i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(i(d_,a),i(NUMERAL,i(BIT1,i(BIT1,u_0)))))),i(i(realu_sub,i(i(d_,d),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,a),i(NUMERAL,i(BIT0,i(BIT1,u_0))))))))),i(i(realu_mul,i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,a),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(realu_mul,i(i(realu_sub,i(i(d_,c),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,a),i(NUMERAL,i(BIT1,u_0))))),i(i(realu_sub,i(i(d_,d),i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(i(d_,a),i(NUMERAL,i(BIT1,i(BIT1,u_0))))))))),i(i(realu_mul,i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(i(d_,a),i(NUMERAL,i(BIT1,i(BIT1,u_0)))))),i(i(realu_mul,i(i(realu_sub,i(i(d_,c),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,a),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(realu_sub,i(i(d_,d),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,a),i(NUMERAL,i(BIT1,u_0))))))))))),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,i(BIT1,u_0)))))) -> i(measure,i(i(hull,convex),i(i(INSERT,a),i(i(INSERT,b),i(i(INSERT,c),i(i(INSERT,d),EMPTY)))))) i(i(realu_add,i(i(realu_mul,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT1,u_0)))),i(NUMERAL,i(BIT1,u_0)))),i(i(realu_mul,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(NUMERAL,i(BIT1,i(BIT1,u_0))))))),i(i(realu_add,i(i(realu_mul,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT1,u_0)))),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_mul,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(NUMERAL,i(BIT1,u_0)))))),i(i(realu_sub,i(i(realu_sub,i(i(realu_sub,i(i(realu_mul,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT1,u_0)))),i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(i(realu_mul,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(NUMERAL,i(BIT0,i(BIT1,u_0))))))),i(i(realu_mul,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT1,u_0)))),i(NUMERAL,i(BIT1,u_0)))),i(i(realu_mul,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))))),i(i(realu_mul,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT1,u_0)))),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_mul,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(NUMERAL,i(BIT1,i(BIT1,u_0)))))))),i(i(realu_mul,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT1,u_0)))),i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(i(realu_mul,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(NUMERAL,i(BIT1,u_0)))))))) -> i(det,A) i(i(s_b_,i(i(a_,i(i(realu_add,i(i(realu_pow,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT1,u_0)))),i(NUMERAL,i(BIT1,u_0)))),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_pow,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(NUMERAL,i(BIT1,u_0)))),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))))),i(i(b_s_,i(i(s_b_,i(i(a_,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT1,u_0)))),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(a_,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT1,u_0)))),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(realu_neg,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(NUMERAL,i(BIT1,u_0))))))),i(i(s_b_,i(i(a_,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT1,u_0)))),i(NUMERAL,i(BIT1,u_0)))),i(realu_neg,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(NUMERAL,i(BIT0,i(BIT1,u_0))))))),i(i(a_,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT1,u_0)))),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(NUMERAL,i(BIT1,u_0))))))) -> i(orthogonalu_matrix,A) i(i(s_b_,i(i(a_,i(i(realu_add,i(i(realu_pow,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT1,u_0)))),i(NUMERAL,i(BIT1,u_0)))),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_pow,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(NUMERAL,i(BIT1,u_0)))),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))))),i(i(s_b_,i(i(a_,i(i(realu_add,i(i(realu_pow,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT1,u_0)))),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_pow,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))))),i(i(a_,i(i(realu_add,i(i(realu_mul,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT1,u_0)))),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT1,u_0)))),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(realu_mul,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(NUMERAL,i(BIT0,i(BIT1,u_0))))))),i(realu_ofu_num,i(NUMERAL,u_0))))) -> i(orthogonalu_matrix,A) i(vector,i(i(CONS,i(i(realu_sub,i(i(realu_mul,i(i(d_,a),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,b),i(NUMERAL,i(BIT1,i(BIT1,u_0)))))),i(i(realu_mul,i(i(d_,a),i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(i(d_,b),i(NUMERAL,i(BIT0,i(BIT1,u_0))))))),i(i(CONS,i(i(realu_sub,i(i(realu_mul,i(i(d_,a),i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(i(d_,b),i(NUMERAL,i(BIT1,u_0))))),i(i(realu_mul,i(i(d_,a),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,b),i(NUMERAL,i(BIT1,i(BIT1,u_0))))))),i(i(CONS,i(i(realu_sub,i(i(realu_mul,i(i(d_,a),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,b),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(realu_mul,i(i(d_,a),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,b),i(NUMERAL,i(BIT1,u_0)))))),NIL)))) -> i(i(cross,a),b) i(i(i(COND,i(i(s_b_,i(i(realu_lt,i(i(d_,a),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,b),i(NUMERAL,i(BIT1,u_0))))),i(i(s_b_,i(i(realu_lt,i(i(d_,a),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,b),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(realu_lt,i(i(d_,a),i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(i(d_,b),i(NUMERAL,i(BIT1,i(BIT1,u_0)))))))),i(i(realu_mul,i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,a),i(NUMERAL,i(BIT1,u_0))))),i(i(realu_mul,i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,a),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(i(d_,a),i(NUMERAL,i(BIT1,i(BIT1,u_0)))))))),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(measure,i(openu_interval,i(i(c_,a),b))) i(i(i(COND,i(i(s_b_,i(i(realu_lt,i(i(d_,a),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,b),i(NUMERAL,i(BIT1,u_0))))),i(i(s_b_,i(i(realu_lt,i(i(d_,a),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,b),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(realu_lt,i(i(d_,a),i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(i(d_,b),i(NUMERAL,i(BIT1,i(BIT1,u_0)))))))),i(i(realu_mul,i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,a),i(NUMERAL,i(BIT1,u_0))))),i(i(realu_mul,i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,a),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(i(d_,a),i(NUMERAL,i(BIT1,i(BIT1,u_0)))))))),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(measure,i(closedu_interval,i(i(CONS,i(i(c_,a),b)),NIL))) i(i(i(COND,i(i(s_b_,i(i(realu_lt,i(i(d_,a),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,b),i(NUMERAL,i(BIT1,u_0))))),i(i(s_b_,i(i(realu_lt,i(i(d_,a),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,b),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(realu_lt,i(i(d_,a),i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(i(d_,b),i(NUMERAL,i(BIT1,i(BIT1,u_0)))))))),i(i(realu_mul,i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(i(d_,a),i(NUMERAL,i(BIT1,i(BIT1,u_0)))))),i(i(realu_mul,i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,a),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,a),i(NUMERAL,i(BIT1,u_0))))))),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(i(volu_rect,a),b) i(i(i(COND,i(i(s_b_,i(i(realu_le,i(i(d_,a),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,b),i(NUMERAL,i(BIT1,u_0))))),i(i(s_b_,i(i(realu_le,i(i(d_,a),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,b),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(realu_le,i(i(d_,a),i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(i(d_,b),i(NUMERAL,i(BIT1,i(BIT1,u_0)))))))),i(i(realu_mul,i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,a),i(NUMERAL,i(BIT1,u_0))))),i(i(realu_mul,i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,a),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(i(d_,a),i(NUMERAL,i(BIT1,i(BIT1,u_0)))))))),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(measure,i(openu_interval,i(i(c_,a),b))) i(i(i(COND,i(i(s_b_,i(i(realu_le,i(i(d_,a),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,b),i(NUMERAL,i(BIT1,u_0))))),i(i(s_b_,i(i(realu_le,i(i(d_,a),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,b),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(realu_le,i(i(d_,a),i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(i(d_,b),i(NUMERAL,i(BIT1,i(BIT1,u_0)))))))),i(i(realu_mul,i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,a),i(NUMERAL,i(BIT1,u_0))))),i(i(realu_mul,i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,a),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(i(d_,a),i(NUMERAL,i(BIT1,i(BIT1,u_0)))))))),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(measure,i(closedu_interval,i(i(CONS,i(i(c_,a),b)),NIL))) i(i(s_b_,i(i(a_,i(i(realu_add,i(i(realu_pow,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT1,u_0)))),i(NUMERAL,i(BIT1,u_0)))),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_pow,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(NUMERAL,i(BIT1,u_0)))),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))))),i(i(s_b_,i(i(a_,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT1,u_0)))),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(a_,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT1,u_0)))),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(realu_neg,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(NUMERAL,i(BIT1,u_0))))))) -> i(rotationu_matrix,A) i(i(s_b_,i(i(realu_le,i(realu_abs,i(i(d_,x),i(NUMERAL,i(BIT1,u_0))))),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))))),i(i(s_b_,i(i(realu_le,i(realu_abs,i(i(d_,x),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))))),i(i(b_s_,i(i(a_,i(i(d_,x),i(NUMERAL,i(BIT1,u_0)))),i(realu_neg,i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))))),i(i(b_s_,i(i(a_,i(i(d_,x),i(NUMERAL,i(BIT1,u_0)))),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))))),i(i(b_s_,i(i(a_,i(i(d_,x),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(realu_neg,i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))))),i(i(a_,i(i(d_,x),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))))))))) -> i(i(a_,i(infnorm,x)),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))) 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i(i(realu_div,i(sqrt,i(i(i(i(i(i(deltau_x,i(i(realu_pow,i(distance,i(i(c_,x1),x2))),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_pow,i(distance,i(i(c_,x1),x3))),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_pow,i(distance,i(i(c_,x1),x4))),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_pow,i(distance,i(i(c_,x3),x4))),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_pow,i(distance,i(i(c_,x2),x4))),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_pow,i(distance,i(i(c_,x2),x3))),i(NUMERAL,i(BIT0,i(BIT1,u_0))))))),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT0,i(BIT1,i(BIT1,u_0))))))) -> i(measure,i(i(hull,convex),i(i(INSERT,x1),i(i(INSERT,x2),i(i(INSERT,x3),i(i(INSERT,x4),EMPTY)))))) i(i(s_b_,i(i(differentiable,f),i(at,z))),i(i(s_b_,i(i(a_,i(i(d_,i(i(d_,i(i(jacobian,f),i(at,z))),i(NUMERAL,i(BIT1,u_0)))),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,i(i(d_,i(i(jacobian,f),i(at,z))),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(a_,i(i(d_,i(i(d_,i(i(jacobian,f),i(at,z))),i(NUMERAL,i(BIT1,u_0)))),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(realu_neg,i(i(d_,i(i(d_,i(i(jacobian,f),i(at,z))),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(NUMERAL,i(BIT1,u_0))))))) -> i(i(complexu_differentiable,f),i(at,z)) i(i(s_b_,i(i(a_,i(i(dot,e1),e1)),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))))),i(i(s_b_,i(i(a_,i(i(dot,e2),e2)),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))))),i(i(s_b_,i(i(a_,i(i(dot,e3),e3)),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))))),i(i(s_b_,i(i(a_,i(i(dot,e1),e2)),i(realu_ofu_num,i(NUMERAL,u_0)))),i(i(s_b_,i(i(a_,i(i(dot,e1),e3)),i(realu_ofu_num,i(NUMERAL,u_0)))),i(i(s_b_,i(i(a_,i(i(dot,e2),e3)),i(realu_ofu_num,i(NUMERAL,u_0)))),i(i(realu_lt,i(realu_ofu_num,i(NUMERAL,u_0))),i(i(dot,i(i(cross,e1),e2)),e3)))))))) -> i(i(i(orthonormal,e1),e2),e3) i(i(realu_add,i(i(realu_mul,i(det,i(vector,i(i(CONS,y1),i(i(CONS,x2),i(i(CONS,x3),NIL)))))),i(det,i(vector,i(i(CONS,x1),i(i(CONS,y2),i(i(CONS,y3),NIL))))))),i(i(realu_add,i(i(realu_mul,i(det,i(vector,i(i(CONS,y2),i(i(CONS,x2),i(i(CONS,x3),NIL)))))),i(det,i(vector,i(i(CONS,y1),i(i(CONS,x1),i(i(CONS,y3),NIL))))))),i(i(realu_mul,i(det,i(vector,i(i(CONS,y3),i(i(CONS,x2),i(i(CONS,x3),NIL)))))),i(det,i(vector,i(i(CONS,y1),i(i(CONS,y2),i(i(CONS,x1),NIL)))))))) -> i(i(realu_mul,i(det,i(vector,i(i(CONS,x1),i(i(CONS,x2),i(i(CONS,x3),NIL)))))),i(det,i(vector,i(i(CONS,y1),i(i(CONS,y2),i(i(CONS,y3),NIL)))))) i(i(realu_div,i(realu_abs,i(i(realu_sub,i(i(realu_mul,i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,a),i(NUMERAL,i(BIT1,u_0))))),i(i(realu_sub,i(i(d_,c),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,a),i(NUMERAL,i(BIT0,i(BIT1,u_0))))))),i(i(realu_mul,i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,a),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(realu_sub,i(i(d_,c),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,a),i(NUMERAL,i(BIT1,u_0)))))))),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0))))) -> i(measure,i(i(hull,convex),i(i(INSERT,a),i(i(INSERT,b),i(i(INSERT,c),EMPTY))))) i(i(i(COND,i(i(s_b_,i(i(realu_lt,i(i(d_,a),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,b),i(NUMERAL,i(BIT1,u_0))))),i(i(realu_lt,i(i(d_,a),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,b),i(NUMERAL,i(BIT0,i(BIT1,u_0))))))),i(i(realu_mul,i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,a),i(NUMERAL,i(BIT1,u_0))))),i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,a),i(NUMERAL,i(BIT0,i(BIT1,u_0))))))),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(measure,i(openu_interval,i(i(c_,a),b))) i(i(i(COND,i(i(s_b_,i(i(realu_lt,i(i(d_,a),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,b),i(NUMERAL,i(BIT1,u_0))))),i(i(realu_lt,i(i(d_,a),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,b),i(NUMERAL,i(BIT0,i(BIT1,u_0))))))),i(i(realu_mul,i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,a),i(NUMERAL,i(BIT1,u_0))))),i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,a),i(NUMERAL,i(BIT0,i(BIT1,u_0))))))),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(measure,i(closedu_interval,i(i(CONS,i(i(c_,a),b)),NIL))) i(i(i(COND,i(i(s_b_,i(i(realu_le,i(i(d_,a),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,b),i(NUMERAL,i(BIT1,u_0))))),i(i(realu_le,i(i(d_,a),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,b),i(NUMERAL,i(BIT0,i(BIT1,u_0))))))),i(i(realu_mul,i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,a),i(NUMERAL,i(BIT1,u_0))))),i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,a),i(NUMERAL,i(BIT0,i(BIT1,u_0))))))),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(measure,i(openu_interval,i(i(c_,a),b))) i(i(i(COND,i(i(s_b_,i(i(realu_le,i(i(d_,a),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,b),i(NUMERAL,i(BIT1,u_0))))),i(i(realu_le,i(i(d_,a),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,b),i(NUMERAL,i(BIT0,i(BIT1,u_0))))))),i(i(realu_mul,i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,a),i(NUMERAL,i(BIT1,u_0))))),i(i(realu_sub,i(i(d_,b),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,a),i(NUMERAL,i(BIT0,i(BIT1,u_0))))))),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(measure,i(closedu_interval,i(i(CONS,i(i(c_,a),b)),NIL))) i(i(a_,i(i(realu_mul,i(i(realu_sub,i(i(d_,z),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,x),i(NUMERAL,i(BIT1,u_0))))),i(i(realu_sub,i(i(d_,y),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,x),i(NUMERAL,i(BIT0,i(BIT1,u_0))))))),i(i(realu_mul,i(i(realu_sub,i(i(d_,y),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,x),i(NUMERAL,i(BIT1,u_0))))),i(i(realu_sub,i(i(d_,z),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,x),i(NUMERAL,i(BIT0,i(BIT1,u_0))))))) -> i(collinear,i(i(INSERT,x),i(i(INSERT,y),i(i(INSERT,z),EMPTY)))) i(i(realu_sub,i(i(realu_mul,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT1,u_0)))),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(realu_mul,i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT1,u_0)))),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,i(i(d_,A),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(NUMERAL,i(BIT1,u_0))))) -> i(det,A) 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i(vector,i(i(CONS,i(i(realu_sub,i(i(realu_mul,i(i(d_,x),i(NUMERAL,i(BIT1,u_0)))),i(cos,t))),i(i(realu_mul,i(i(d_,x),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(sin,t)))),i(i(CONS,i(i(realu_add,i(i(realu_mul,i(i(d_,x),i(NUMERAL,i(BIT1,u_0)))),i(sin,t))),i(i(realu_mul,i(i(d_,x),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(cos,t)))),NIL))) -> i(i(rotate2d,t),x) i(i(i(COND,i(i(b_s_,i(i(a_,a),b)),i(i(a_,c),b))),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))),i(sqrt,i(i(realu_sub,i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))),i(i(realu_pow,i(i(realu_div,i(i(dot,i(i(vectoru_sub,a),b)),i(i(vectoru_sub,c),b))),i(i(realu_mul,i(vectoru_norm,i(i(vectoru_sub,a),b))),i(vectoru_norm,i(i(vectoru_sub,c),b))))),i(NUMERAL,i(BIT0,i(BIT1,u_0))))))) -> i(sin,i(angle,i(i(c_,a),i(i(c_,b),c)))) 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i(i(i(COND,i(i(a_,k),i(i(p_,n),i(NUMERAL,i(BIT1,u_0))))),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))),i(i(realu_mul,i(i(realu_div,i(i(realu_add,i(realu_ofu_num,n)),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))))),i(i(realu_add,i(realu_ofu_num,n)),i(i(realu_sub,i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))),i(realu_ofu_num,k))))),i(realu_ofu_num,i(binom,i(i(c_,n),k))))) -> i(realu_ofu_num,i(binom,i(i(c_,i(i(p_,n),i(NUMERAL,i(BIT1,u_0)))),k))) i(i(i(COND,i(i(b_s_,i(i(a_,x),i(vec,i(NUMERAL,u_0)))),i(i(a_,y),i(vec,i(NUMERAL,u_0))))),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))),i(i(realu_sub,i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))),i(i(realu_pow,i(i(realu_div,i(i(dot,x),y)),i(i(realu_mul,i(vectoru_norm,x)),i(vectoru_norm,y)))),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))) -> i(i(realu_pow,i(sin,i(i(vectoru_angle,x),y))),i(NUMERAL,i(BIT0,i(BIT1,u_0)))) i(i(b_s_,i(i(a_,x),i(realu_ofu_num,i(NUMERAL,u_0)))),i(i(b_s_,i(i(a_,y),i(realu_ofu_num,i(NUMERAL,u_0)))),i(i(b_s_,i(i(s_b_,i(i(realu_lt,i(realu_ofu_num,i(NUMERAL,u_0))),x)),i(i(realu_lt,i(realu_ofu_num,i(NUMERAL,u_0))),y))),i(i(s_b_,i(i(realu_lt,x),i(realu_ofu_num,i(NUMERAL,u_0)))),i(i(realu_lt,y),i(realu_ofu_num,i(NUMERAL,u_0))))))) -> i(i(realu_le,i(realu_ofu_num,i(NUMERAL,u_0))),i(i(realu_mul,x),y)) i(i(b_s_,i(i(a_,x),i(intu_ofu_num,i(NUMERAL,u_0)))),i(i(b_s_,i(i(a_,y),i(intu_ofu_num,i(NUMERAL,u_0)))),i(i(b_s_,i(i(s_b_,i(i(intu_lt,i(intu_ofu_num,i(NUMERAL,u_0))),x)),i(i(intu_lt,i(intu_ofu_num,i(NUMERAL,u_0))),y))),i(i(s_b_,i(i(intu_lt,x),i(intu_ofu_num,i(NUMERAL,u_0)))),i(i(intu_lt,y),i(intu_ofu_num,i(NUMERAL,u_0))))))) -> i(i(intu_le,i(intu_ofu_num,i(NUMERAL,u_0))),i(i(intu_mul,x),y)) i(i(realu_mul,i(i(i(i(azim,v0),v1),v2),v3)),i(i(realu_mul,i(i(realu_pow,h),i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(i(realu_div,i(i(realu_sub,i(i(realu_div,i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))),i(i(realu_mul,a),a))),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))))),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,i(BIT1,u_0)))))))) -> i(i(i(i(i(i(volu_frusttu_wedge,v0),v1),v2),v3),h),a) i(i(realu_div,i(i(realu_sub,i(i(realu_add,i(i(realu_pow,i(vectoru_norm,x)),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_pow,i(vectoru_norm,y)),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(realu_pow,i(vectoru_norm,i(i(vectoru_sub,x),y))),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0))))) -> i(i(dot,x),y) i(i(realu_div,i(i(realu_sub,i(i(realu_sub,i(i(realu_pow,i(vectoru_norm,i(i(vectoru_add,x),y))),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_pow,i(vectoru_norm,x)),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(realu_pow,i(vectoru_norm,y)),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0))))) -> i(i(dot,x),y) i(i(realu_add,i(i(realu_mul,i(det,i(vector,i(i(CONS,y1),i(i(CONS,x2),NIL))))),i(det,i(vector,i(i(CONS,x1),i(i(CONS,y2),NIL)))))),i(i(realu_mul,i(det,i(vector,i(i(CONS,y2),i(i(CONS,x2),NIL))))),i(det,i(vector,i(i(CONS,y1),i(i(CONS,x1),NIL)))))) -> i(i(realu_mul,i(det,i(vector,i(i(CONS,x1),i(i(CONS,x2),NIL))))),i(det,i(vector,i(i(CONS,y1),i(i(CONS,y2),NIL))))) i(i(INTER,i(i(hull,affine),i(i(INSERT,a),i(i(INSERT,b),EMPTY)))),i(ball,i(i(c_,i(i(r_,i(realu_inv,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(vectoru_add,a),b))),i(i(realu_div,i(vectoru_norm,i(i(vectoru_sub,b),a))),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))))) -> i(openu_segment,i(i(c_,a),b)) i(i(INTER,i(i(hull,affine),i(i(INSERT,a),i(i(INSERT,b),EMPTY)))),i(cball,i(i(c_,i(i(r_,i(realu_inv,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(vectoru_add,a),b))),i(i(realu_div,i(vectoru_norm,i(i(vectoru_sub,b),a))),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))))) -> i(closedu_segment,i(i(CONS,i(i(c_,a),b)),NIL)) i(i(complexu_mul,i(Cx,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(complexu_mul,i(csin,i(i(complexu_div,i(i(vectoru_sub,w),z)),i(Cx,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))))),i(ccos,i(i(complexu_div,i(i(vectoru_add,w),z)),i(Cx,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0))))))))) -> i(i(vectoru_sub,i(csin,w)),i(csin,z)) i(i(complexu_mul,i(Cx,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(complexu_mul,i(csin,i(i(complexu_div,i(i(vectoru_add,w),z)),i(Cx,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))))),i(ccos,i(i(complexu_div,i(i(vectoru_sub,w),z)),i(Cx,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0))))))))) -> i(i(vectoru_add,i(csin,w)),i(csin,z)) i(i(complexu_mul,i(Cx,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(complexu_mul,i(csin,i(i(complexu_div,i(i(vectoru_add,w),z)),i(Cx,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))))),i(csin,i(i(complexu_div,i(i(vectoru_sub,z),w)),i(Cx,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0))))))))) -> i(i(vectoru_sub,i(ccos,w)),i(ccos,z)) i(i(complexu_mul,i(Cx,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(complexu_mul,i(ccos,i(i(complexu_div,i(i(vectoru_add,w),z)),i(Cx,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))))),i(ccos,i(i(complexu_div,i(i(vectoru_sub,w),z)),i(Cx,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0))))))))) -> i(i(vectoru_add,i(ccos,w)),i(ccos,z)) i(i(DIFF,i(i(hull,convex),i(i(INSERT,a),i(i(INSERT,b),i(i(INSERT,c),EMPTY))))),i(i(UNION,i(closedu_segment,i(i(CONS,i(i(c_,a),b)),NIL))),i(i(UNION,i(closedu_segment,i(i(CONS,i(i(c_,b),c)),NIL))),i(closedu_segment,i(i(CONS,i(i(c_,c),a)),NIL))))) -> i(interior,i(i(hull,convex),i(i(INSERT,a),i(i(INSERT,b),i(i(INSERT,c),EMPTY))))) i(i(complexu_mul,i(i(complexu_div,ii),i(Cx,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0))))))),i(clog,i(i(complexu_div,i(i(vectoru_sub,i(Cx,i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))))),i(i(complexu_mul,ii),z))),i(i(vectoru_add,i(Cx,i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))))),i(i(complexu_mul,ii),z))))) -> i(catn,z) i(i(i(COND,i(i(b_s_,i(i(a_,x),i(vec,i(NUMERAL,u_0)))),i(i(a_,y),i(vec,i(NUMERAL,u_0))))),i(i(realu_div,pi),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(acs,i(i(realu_div,i(i(dot,x),y)),i(i(realu_mul,i(vectoru_norm,x)),i(vectoru_norm,y))))) -> i(i(vectoru_angle,x),y) i(i(b_s_,i(i(a_,i(angle,i(i(c_,A),i(i(c_,B),C)))),i(angle,i(i(c_,Ai_),i(i(c_,Bi_),Ci_))))),i(i(a_,i(angle,i(i(c_,A),i(i(c_,B),C)))),i(i(realu_sub,pi),i(angle,i(i(c_,Ai_),i(i(c_,Bi_),Ci_)))))) -> i(i(a_,i(sin,i(angle,i(i(c_,A),i(i(c_,B),C))))),i(sin,i(angle,i(i(c_,Ai_),i(i(c_,Bi_),Ci_))))) i(i(i(COND,i(i(b_s_,i(i(a_,a),b)),i(i(a_,c),b))),i(realu_ofu_num,i(NUMERAL,u_0))),i(i(realu_div,i(i(dot,i(i(vectoru_sub,a),b)),i(i(vectoru_sub,c),b))),i(i(realu_mul,i(vectoru_norm,i(i(vectoru_sub,a),b))),i(vectoru_norm,i(i(vectoru_sub,c),b))))) -> i(cos,i(angle,i(i(c_,a),i(i(c_,b),c)))) i(i(realu_mul,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_mul,i(sin,i(i(realu_div,i(i(realu_add,x),y)),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0))))))),i(cos,i(i(realu_div,i(i(realu_sub,x),y)),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))))) -> i(i(realu_add,i(sin,x)),i(sin,y)) i(i(realu_mul,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_mul,i(sin,i(i(realu_div,i(i(realu_sub,x),y)),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0))))))),i(cos,i(i(realu_div,i(i(realu_add,x),y)),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))))) -> i(i(realu_sub,i(sin,x)),i(sin,y)) i(i(realu_mul,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_mul,i(cos,i(i(realu_div,i(i(realu_add,x),y)),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0))))))),i(cos,i(i(realu_div,i(i(realu_sub,x),y)),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))))) -> i(i(realu_add,i(cos,x)),i(cos,y)) i(i(realu_mul,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_mul,i(sin,i(i(realu_div,i(i(realu_add,x),y)),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0))))))),i(sin,i(i(realu_div,i(i(realu_sub,y),x)),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))))) -> i(i(realu_sub,i(cos,x)),i(cos,y)) i(i(s_b_,i(w_,i(i(a_,x),i(vec,i(NUMERAL,u_0))))),i(i(s_b_,i(w_,i(i(a_,y),i(vec,i(NUMERAL,u_0))))),i(i(a_,i(i(vectoru_add,i(i(r_,i(vectoru_norm,x)),y)),i(i(r_,i(vectoru_norm,y)),x))),i(vec,i(NUMERAL,u_0))))) -> i(i(a_,i(i(vectoru_angle,x),y)),pi) i(i(i(COND,i(i(a_,a),i(realu_ofu_num,i(NUMERAL,u_0)))),i(i(realu_div,pi),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(i(COND,i(i(realu_le,i(realu_ofu_num,i(NUMERAL,u_0))),a)),i(i(vectoru_angle,x),y)),i(i(realu_sub,pi),i(i(vectoru_angle,x),y)))) -> i(i(vectoru_angle,i(i(r_,a),x)),y) i(i(i(COND,i(i(a_,a),i(realu_ofu_num,i(NUMERAL,u_0)))),i(i(realu_div,pi),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(i(COND,i(i(realu_le,i(realu_ofu_num,i(NUMERAL,u_0))),a)),i(i(vectoru_angle,x),y)),i(i(realu_sub,pi),i(i(vectoru_angle,x),y)))) -> i(i(vectoru_angle,x),i(i(r_,a),y)) i(i(i(COND,i(i(realu_lt,i(i(realu_add,i(frac,x)),i(frac,y))),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))))),i(i(realu_add,i(frac,x)),i(frac,y))),i(i(realu_sub,i(i(realu_add,i(frac,x)),i(frac,y))),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))))) -> i(frac,i(i(realu_add,x),y)) i(i(i(COND,i(i(realu_lt,i(i(realu_add,i(frac,x)),i(frac,y))),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))))),i(i(realu_add,i(floor,x)),i(floor,y))),i(i(realu_add,i(i(realu_add,i(floor,x)),i(floor,y))),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))))) -> i(floor,i(i(realu_add,x),y)) i(i(s_b_,i(i(a_,i(Im,x)),i(realu_ofu_num,i(NUMERAL,u_0)))),i(i(b_s_,i(i(s_b_,i(i(realu_le,a),i(Re,x))),i(i(realu_le,i(Re,x)),b))),i(i(s_b_,i(i(realu_le,b),i(Re,x))),i(i(realu_le,i(Re,x)),a)))) -> i(i(IN,x),i(closedu_segment,i(i(CONS,i(i(c_,i(Cx,a)),i(Cx,b))),NIL))) i(i(b_s_,i(i(s_b_,i(i(l_a_,i(NUMERAL,i(BIT0,i(BIT1,u_0)))),x)),i(i(l_,m),n))),i(i(s_b_,i(i(a_,x),i(NUMERAL,u_0))),i(i(s_b_,i(w_,i(i(a_,m),i(NUMERAL,u_0)))),i(i(a_,n),i(NUMERAL,u_0))))) -> i(i(l_,i(i(EXP,x),m)),i(i(EXP,x),n)) i(i(realu_add,i(i(realu_mul,i(i(d_,x),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,y),i(NUMERAL,i(BIT1,u_0))))),i(i(realu_mul,i(i(d_,x),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(d_,y),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))) -> i(i(dot,x),y) 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i(i(i(COND,i(i(realu_lt,i(realu_ofu_num,i(NUMERAL,u_0))),x)),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))),i(i(i(COND,i(i(realu_lt,x),i(realu_ofu_num,i(NUMERAL,u_0)))),i(realu_neg,i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))))),i(realu_ofu_num,i(NUMERAL,u_0)))) -> i(realu_sgn,x) i(i(realu_lt,i(realu_ofu_num,i(NUMERAL,u_0))),i(Re,i(i(complexu_div,i(i(vectoru_sub,i(Cx,i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))))),i(i(complexu_mul,ii),z))),i(i(vectoru_add,i(Cx,i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))))),i(i(complexu_mul,ii),z))))) -> i(i(realu_lt,i(vectoru_norm,z)),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))) i(i(i(COND,i(i(intu_lt,i(intu_ofu_num,i(NUMERAL,u_0))),x)),i(intu_ofu_num,i(NUMERAL,i(BIT1,u_0)))),i(i(i(COND,i(i(intu_lt,x),i(intu_ofu_num,i(NUMERAL,u_0)))),i(intu_neg,i(intu_ofu_num,i(NUMERAL,i(BIT1,u_0))))),i(intu_ofu_num,i(NUMERAL,u_0)))) -> i(intu_sgn,x) 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i(i(realu_sub,i(i(realu_mul,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_pow,i(cos,x)),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))) -> i(cos,i(i(realu_mul,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0))))),x)) i(i(realu_mul,i(i(realu_div,i(i(realu_add,i(exp,i(Im,z))),i(exp,i(realu_neg,i(Im,z))))),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(cos,i(Re,z))) -> i(Re,i(ccos,z)) i(i(realu_mul,i(i(realu_div,i(i(realu_sub,i(exp,i(Im,z))),i(exp,i(realu_neg,i(Im,z))))),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(cos,i(Re,z))) -> i(Im,i(csin,z)) i(i(realu_mul,i(i(realu_div,i(i(realu_add,i(exp,i(Im,z))),i(exp,i(realu_neg,i(Im,z))))),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(sin,i(Re,z))) -> i(Re,i(csin,z)) i(i(realu_mul,i(i(realu_div,i(i(realu_sub,i(exp,i(realu_neg,i(Im,z)))),i(exp,i(Im,z)))),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(sin,i(Re,z))) -> i(Im,i(ccos,z)) i(i(realu_add,i(i(realu_pow,i(vectoru_norm,i(i(cross,x),y))),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_pow,i(i(dot,x),y)),i(NUMERAL,i(BIT0,i(BIT1,u_0))))) -> i(i(realu_pow,i(i(realu_mul,i(vectoru_norm,x)),i(vectoru_norm,y))),i(NUMERAL,i(BIT0,i(BIT1,u_0)))) i(i(i(COND,i(i(realu_le,i(drop,a)),i(drop,b))),i(closedu_interval,i(i(CONS,i(i(c_,a),b)),NIL))),i(closedu_interval,i(i(CONS,i(i(c_,b),a)),NIL))) -> i(closedu_segment,i(i(CONS,i(i(c_,a),b)),NIL)) i(i(d_,i(i(d_,i(i(matrixu_mul,i(rowvector,x)),i(i(matrixu_mul,i(i(matrixu_mul,i(transp,A)),B)),i(columnvector,y)))),i(NUMERAL,i(BIT1,u_0)))),i(NUMERAL,i(BIT1,u_0))) -> i(i(dot,i(i(matrixu_vectoru_mul,A),x)),i(i(matrixu_vectoru_mul,B),y)) i(i(s_b_,i(i(realu_lt,i(realu_ofu_num,i(NUMERAL,u_0))),i(distance,i(i(c_,x),a)))),i(i(realu_le,i(distance,i(i(c_,x),a))),i(distance,i(i(c_,y),a)))) -> i(i(i(netord,i(at,a)),x),y) i(i(b_s_,i(w_,i(i(IN,a),s0))),i(i(b_s_,i(w_,i(i(IN,b),s0))),i(w_,i(i(a_,i(i(connectedu_component,s0),a)),i(i(connectedu_component,s0),b))))) -> i(i(a_,i(i(INTER,i(i(connectedu_component,s0),a)),i(i(connectedu_component,s0),b))),EMPTY) i(i(s_b_,i(i(IN,x),i(closedu_segment,i(i(CONS,i(i(c_,a),b)),NIL)))),i(i(s_b_,i(w_,i(i(a_,x),a))),i(w_,i(i(a_,x),b)))) -> i(i(IN,x),i(openu_segment,i(i(c_,a),b))) i(i(s_b_,i(i(realu_lt,i(realu_ofu_num,i(NUMERAL,u_0))),i(realu_abs,i(i(realu_sub,x),a)))),i(i(realu_le,i(realu_abs,i(i(realu_sub,x),a))),i(realu_abs,i(i(realu_sub,y),a)))) -> i(i(i(netord,i(atreal,a)),x),y) i(acs,i(i(realu_div,i(i(dot,i(i(vectoru_sub,v),u)),i(i(vectoru_sub,w),u))),i(i(realu_mul,i(vectoru_norm,i(i(vectoru_sub,v),u))),i(vectoru_norm,i(i(vectoru_sub,w),u))))) -> i(i(i(arcV,u),v),w) i(i(complexu_div,i(i(vectoru_add,i(cexp,i(i(complexu_mul,ii),z))),i(cexp,i(i(complexu_mul,i(vectoru_neg,ii)),z)))),i(Cx,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))) -> i(ccos,z) i(i(realu_div,i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))),i(sqrt,i(i(realu_add,i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))),i(i(realu_pow,x),i(NUMERAL,i(BIT0,i(BIT1,u_0))))))) -> i(cos,i(atn,x)) i(i(t_,i(i(EXP,i(NUMERAL,i(BIT0,i(BIT1,u_0)))),x)),i(i(p_,i(i(t_,i(NUMERAL,i(BIT0,i(BIT1,u_0)))),y)),i(NUMERAL,i(BIT1,u_0)))) -> i(i(NUMPAIR,x),y) i(i(a_,i(i(intu_add,i(i(intu_pow,x),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(intu_pow,y),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(intu_ofu_num,i(NUMERAL,u_0))) -> i(i(s_b_,i(i(a_,x),i(intu_ofu_num,i(NUMERAL,u_0)))),i(i(a_,y),i(intu_ofu_num,i(NUMERAL,u_0)))) i(i(s_b_,i(w_,i(i(a_,i(det,A)),i(realu_ofu_num,i(NUMERAL,u_0))))),i(i(a_,Ai_),i(i(r_r_,i(realu_inv,i(det,A))),i(transp,i(cofactor,A))))) -> i(i(a_,i(i(matrixu_mul,Ai_),A)),i(mat,i(NUMERAL,i(BIT1,u_0)))) i(i(a_,i(i(realu_add,i(i(realu_pow,x),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_pow,y),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(i(s_b_,i(i(a_,x),i(realu_ofu_num,i(NUMERAL,u_0)))),i(i(a_,y),i(realu_ofu_num,i(NUMERAL,u_0)))) i(i(s_b_,i(w_,i(i(a_,i(det,A)),i(realu_ofu_num,i(NUMERAL,u_0))))),i(i(a_,Ai_),i(i(r_r_,i(realu_inv,i(det,A))),i(transp,i(cofactor,A))))) -> i(i(a_,i(i(matrixu_mul,A),Ai_)),i(mat,i(NUMERAL,i(BIT1,u_0)))) i(i(s_b_,i(integer,i(i(realu_sub,x),a))),i(i(s_b_,i(i(realu_le,i(realu_ofu_num,i(NUMERAL,u_0))),a)),i(i(realu_lt,a),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))))) -> i(i(a_,i(frac,x)),a) i(i(s_b_,i(i(IN,a),i(closedu_segment,i(i(CONS,i(i(c_,c),d)),NIL)))),i(i(IN,b),i(closedu_segment,i(i(CONS,i(i(c_,c),d)),NIL)))) -> i(i(SUBSET,i(closedu_segment,i(i(CONS,i(i(c_,a),b)),NIL))),i(closedu_segment,i(i(CONS,i(i(c_,c),d)),NIL))) i(i(b_s_,i(i(a_,a),b)),i(i(SUBSET,i(closedu_segment,i(i(CONS,i(i(c_,a),b)),NIL))),i(closedu_segment,i(i(CONS,i(i(c_,c),d)),NIL)))) -> i(i(SUBSET,i(openu_segment,i(i(c_,a),b))),i(openu_segment,i(i(c_,c),d))) i(i(b_s_,i(i(a_,i(i(vectoru_angle,x),y)),i(i(vectoru_angle,w),z))),i(i(a_,i(i(vectoru_angle,x),y)),i(i(realu_sub,pi),i(i(vectoru_angle,w),z)))) -> i(i(a_,i(sin,i(i(vectoru_angle,x),y))),i(sin,i(i(vectoru_angle,w),z))) i(i(realu_mul,i(distance,i(i(c_,A),C))),i(i(realu_mul,i(distance,i(i(c_,B),C))),i(cos,i(angle,i(i(c_,A),i(i(c_,C),B)))))) -> i(i(dot,i(i(vectoru_sub,A),C)),i(i(vectoru_sub,B),C)) i(i(b_s_,i(i(between,a),i(i(c_,b),c))),i(i(b_s_,i(i(between,b),i(i(c_,c),a))),i(i(between,c),i(i(c_,a),b)))) -> i(collinear,i(i(INSERT,a),i(i(INSERT,b),i(i(INSERT,c),EMPTY)))) i(i(vectoru_add,i(i(cross,x),i(i(cross,y),z))),i(i(vectoru_add,i(i(cross,y),i(i(cross,z),x))),i(i(cross,z),i(i(cross,x),y)))) -> i(vec,i(NUMERAL,u_0)) i(i(a_,i(i(dot,i(i(vectoru_sub,x),a)),i(i(vectoru_sub,b),x))),i(i(realu_mul,i(vectoru_norm,i(i(vectoru_sub,x),a))),i(vectoru_norm,i(i(vectoru_sub,b),x)))) -> i(i(between,x),i(i(c_,a),b)) i(i(a_,i(i(r_,i(vectoru_norm,i(i(vectoru_sub,x),a))),i(i(vectoru_sub,b),x))),i(i(r_,i(vectoru_norm,i(i(vectoru_sub,b),x))),i(i(vectoru_sub,x),a))) -> i(i(between,x),i(i(c_,a),b)) i(i(a_,i(i(r_,i(vectoru_norm,i(i(vectoru_sub,x),y))),i(i(vectoru_sub,y),z))),i(i(r_,i(vectoru_norm,i(i(vectoru_sub,y),z))),i(i(vectoru_sub,x),y))) -> i(i(a_,i(distance,i(i(c_,x),z))),i(i(realu_add,i(distance,i(i(c_,x),y))),i(distance,i(i(c_,y),z)))) i(i(s_b_,i(i(realu_lt,i(realu_ofu_num,i(NUMERAL,u_0))),d)),i(i(s_b_,i(i(realu_lt,i(i(realu_sub,x),d)),y)),i(i(realu_lt,y),i(i(realu_add,x),d)))) -> i(i(realu_lt,i(realu_abs,i(i(realu_sub,y),x))),d) i(i(s_b_,i(i(intu_lt,i(intu_ofu_num,i(NUMERAL,u_0))),d)),i(i(s_b_,i(i(intu_lt,i(i(intu_sub,x),d)),y)),i(i(intu_lt,y),i(i(intu_add,x),d)))) -> i(i(intu_lt,i(intu_abs,i(i(intu_sub,y),x))),d) i(i(vectoru_add,i(t,i(NUMERAL,i(BIT1,u_0)))),i(i(vectoru_add,i(t,i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(t,i(NUMERAL,i(BIT1,i(BIT1,u_0)))))) -> i(i(vsum,i(i(o_o_,i(NUMERAL,i(BIT1,u_0))),i(NUMERAL,i(BIT1,i(BIT1,u_0))))),t) i(i(complexu_mul,i(Cx,i(exp,i(Re,z)))),i(i(vectoru_add,i(Cx,i(cos,i(Im,z)))),i(i(complexu_mul,ii),i(Cx,i(sin,i(Im,z)))))) -> i(cexp,z) i(i(b_s_,i(i(realu_lt,a),i(realu_ofu_num,i(NUMERAL,u_0)))),i(i(realu_gt,i(i(dot,x),x)),i(i(realu_pow,a),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))) -> i(i(realu_gt,i(vectoru_norm,x)),a) i(i(s_b_,i(i(realu_le,i(realu_ofu_num,i(NUMERAL,u_0))),a)),i(i(realu_lt,i(i(dot,x),x)),i(i(realu_pow,a),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))) -> i(i(realu_lt,i(vectoru_norm,x)),a) i(i(s_b_,i(i(realu_lt,i(realu_ofu_num,i(NUMERAL,u_0))),a)),i(i(realu_lt,i(i(dot,x),x)),i(i(realu_pow,a),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))) -> i(i(realu_lt,i(vectoru_norm,x)),a) i(i(b_s_,i(i(realu_le,a),i(realu_ofu_num,i(NUMERAL,u_0)))),i(i(realu_ge,i(i(dot,x),x)),i(i(realu_pow,a),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))) -> i(i(realu_ge,i(vectoru_norm,x)),a) 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i(i(complexu_div,i(i(vectoru_add,i(ccos,i(i(vectoru_sub,w),z))),i(ccos,i(i(vectoru_add,w),z)))),i(Cx,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))) -> i(i(complexu_mul,i(ccos,w)),i(ccos,z)) i(i(i(COND,i(i(a_,w),i(Cx,i(realu_ofu_num,i(NUMERAL,u_0))))),i(Cx,i(realu_ofu_num,i(NUMERAL,u_0)))),i(cexp,i(i(complexu_mul,z),i(clog,w)))) -> i(i(cpow,w),z) i(i(complexu_div,i(i(vectoru_add,i(csin,i(i(vectoru_add,w),z))),i(csin,i(i(vectoru_sub,w),z)))),i(Cx,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))) -> i(i(complexu_mul,i(csin,w)),i(ccos,z)) i(sqrt,i(i(realu_add,i(i(realu_pow,i(vectoru_norm,x)),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_pow,i(vectoru_norm,y)),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))) -> i(vectoru_norm,i(i(pastecart,x),y)) i(i(a_,i(i(realu_pow,i(i(dot,x),y)),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_mul,i(i(dot,x),x)),i(i(dot,y),y))) -> i(collinear,i(i(INSERT,i(vec,i(NUMERAL,u_0))),i(i(INSERT,x),i(i(INSERT,y),EMPTY)))) 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i(i(vectoru_add,i(i(complexu_pow,i(csin,z)),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(complexu_pow,i(ccos,z)),i(NUMERAL,i(BIT0,i(BIT1,u_0))))) -> i(Cx,i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))) i(i(i(COND,i(i(a_,l2),NIL)),F),i(i(s_b_,i(i(P,h1),i(HD,l2))),i(i(i(ALL2,P),t1),i(TL,l2)))) -> i(i(i(ALL2,P),i(i(CONS,h1),t1)),l2) i(i(realu_add,i(i(realu_pow,i(Re,z)),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_pow,i(Im,z)),i(NUMERAL,i(BIT0,i(BIT1,u_0))))) -> i(i(realu_pow,i(vectoru_norm,z)),i(NUMERAL,i(BIT0,i(BIT1,u_0)))) i(i(realu_sub,i(i(realu_pow,i(Re,z)),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_pow,i(Im,z)),i(NUMERAL,i(BIT0,i(BIT1,u_0))))) -> i(Re,i(i(complexu_pow,z),i(NUMERAL,i(BIT0,i(BIT1,u_0))))) i(i(continuous,i(i(o,Cx),i(i(o,f),Re))),i(i(within,i(at,i(Cx,x))),i(i(INTER,real0),i(i(IMAGE,Cx),s0)))) -> i(i(realu_continuous,f),i(i(within,i(atreal,x)),s0)) i(i(realu_div,i(i(realu_sub,i(cos,i(i(realu_sub,x),y))),i(cos,i(i(realu_add,x),y)))),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0))))) -> i(i(realu_mul,i(sin,x)),i(sin,y)) i(i(s_b_,i(i(a_,i(i(dot,x),y)),i(realu_ofu_num,i(NUMERAL,u_0)))),i(i(a_,i(i(cross,x),y)),i(vec,i(NUMERAL,u_0)))) -> i(i(b_s_,i(i(a_,x),i(vec,i(NUMERAL,u_0)))),i(i(a_,y),i(vec,i(NUMERAL,u_0)))) i(i(realu_div,i(i(realu_add,i(cos,i(i(realu_sub,x),y))),i(cos,i(i(realu_add,x),y)))),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0))))) -> i(i(realu_mul,i(cos,x)),i(cos,y)) i(i(s_b_,i(i(a_,i(intu_abs,x)),i(intu_ofu_num,i(NUMERAL,i(BIT1,u_0))))),i(i(a_,i(intu_abs,y)),i(intu_ofu_num,i(NUMERAL,i(BIT1,u_0))))) -> i(i(a_,i(intu_abs,i(i(intu_mul,x),y))),i(intu_ofu_num,i(NUMERAL,i(BIT1,u_0)))) i(i(realu_div,i(i(realu_add,i(sin,i(i(realu_add,x),y))),i(sin,i(i(realu_sub,x),y)))),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0))))) -> i(i(realu_mul,i(sin,x)),i(cos,y)) i(i(i(COND,i(i(IN,a),i(i(hull,affine),s0))),i(affu_dim,s0)),i(i(intu_add,i(affu_dim,s0)),i(intu_ofu_num,i(NUMERAL,i(BIT1,u_0))))) -> i(affu_dim,i(i(INSERT,a),s0)) i(i(vectoru_add,i(ccos,i(i(complexu_mul,i(Cx,i(realu_ofu_num,n))),z))),i(i(complexu_mul,ii),i(csin,i(i(complexu_mul,i(Cx,i(realu_ofu_num,n))),z)))) -> i(i(complexu_pow,i(i(vectoru_add,i(ccos,z)),i(i(complexu_mul,ii),i(csin,z)))),n) i(i(realu_div,i(i(realu_sub,i(sin,i(i(realu_add,x),y))),i(sin,i(i(realu_sub,x),y)))),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0))))) -> i(i(realu_mul,i(cos,x)),i(sin,y)) i(i(s_b_,i(i(a_,i(i(dot,x),x)),i(i(dot,x),y))),i(i(a_,i(i(dot,y),y)),i(i(dot,x),x))) -> i(i(a_,x),y) i(i(i(COND,b),i(SUC,i(i(t_,i(NUMERAL,i(BIT0,i(BIT1,u_0)))),x))),i(i(t_,i(NUMERAL,i(BIT0,i(BIT1,u_0)))),x)) -> i(i(NUMSUM,b),x) i(i(s_b_,i(integer,a)),i(i(s_b_,i(i(realu_le,a),x)),i(i(realu_lt,x),i(i(realu_add,a),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))))))) -> i(i(a_,i(floor,x)),a) i(i(realu_add,i(i(realu_pow,i(sin,x)),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_pow,i(cos,x)),i(NUMERAL,i(BIT0,i(BIT1,u_0))))) -> i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))) i(i(i(hasu_vectoru_derivative,i(i(o,lift),i(i(o,f),drop))),i(lift,fi_)),i(i(within,i(at,i(lift,x))),i(i(IMAGE,lift),s0))) -> i(i(i(hasu_realu_derivative,f),fi_),i(i(within,i(atreal,x)),s0)) i(i(s_b_,i(i(i(m_m_g_,f),l),i(i(within,i(at,x)),s0))),i(i(i(m_m_g_,f),l),i(i(within,i(at,x)),t))) -> i(i(i(m_m_g_,f),l),i(i(within,i(at,x)),i(i(UNION,s0),t))) i(i(a_,i(cos,i(angle,i(i(c_,a),i(i(c_,b),c))))),i(cos,i(angle,i(i(c_,ai_),i(i(c_,bi_),ci_))))) -> i(i(a_,i(angle,i(i(c_,a),i(i(c_,b),c)))),i(angle,i(i(c_,ai_),i(i(c_,bi_),ci_)))) i(i(realu_mul,i(content,i(closedu_interval,i(i(CONS,i(i(c_,a),b)),NIL)))),i(content,i(closedu_interval,i(i(CONS,i(i(c_,c),d)),NIL)))) -> i(content,i(closedu_interval,i(i(CONS,i(i(c_,i(i(pastecart,a),c)),i(i(pastecart,b),d))),NIL))) i(i(s_b_,i(i(a_,i(openu_interval,i(i(c_,a),b))),EMPTY)),i(i(a_,i(closedu_interval,i(i(CONS,i(i(c_,c),d)),NIL))),EMPTY)) -> i(i(a_,i(openu_interval,i(i(c_,a),b))),i(closedu_interval,i(i(CONS,i(i(c_,c),d)),NIL))) i(i(s_b_,i(i(a_,i(closedu_interval,i(i(CONS,i(i(c_,a),b)),NIL))),EMPTY)),i(i(a_,i(openu_interval,i(i(c_,c),d))),EMPTY)) -> i(i(a_,i(closedu_interval,i(i(CONS,i(i(c_,a),b)),NIL))),i(openu_interval,i(i(c_,c),d))) i(i(b_s_,i(i(l_,n),p)),i(i(b_s_,i(i(l_,q),m)),i(i(b_s_,i(i(l_,n),m)),i(i(l_,q),p)))) -> i(i(DISJOINT,i(i(o_o_,m),n)),i(i(o_o_,p),q)) i(i(realu_sub,i(i(realu_mul,i(i(dot,w),y)),i(i(dot,x),z))),i(i(realu_mul,i(i(dot,w),z)),i(i(dot,x),y))) -> i(i(dot,i(i(cross,w),x)),i(i(cross,y),z)) i(i(c_,i(i(hrealu_add,i(i(hrealu_mul,x1),x2)),i(i(hrealu_mul,y1),y2))),i(i(hrealu_add,i(i(hrealu_mul,x1),y2)),i(i(hrealu_mul,y1),x2))) -> i(i(trealu_mul,i(i(c_,x1),y1)),i(i(c_,x2),y2)) i(i(s_b_,i(w_,i(i(a_,x),a))),i(i(s_b_,i(w_,i(i(a_,x),b))),i(i(between,x),i(i(c_,a),b)))) -> i(i(a_,i(angle,i(i(c_,a),i(i(c_,x),b)))),pi) i(i(i(COND,i(FINITE,i(i(i(support,op),f),s0))),i(i(i(iterate,op),i(i(i(support,op),f),s0)),f)),i(neutral,op)) -> i(i(i(iterate,op),s0),f) i(i(s_b_,i(i(IN,a),s0)),i(i(s_b_,i(i(IN,b),s0)),i(i(a_,i(i(connectedu_component,s0),a)),i(i(connectedu_component,s0),b)))) -> i(w_,i(i(a_,i(i(INTER,i(i(connectedu_component,s0),a)),i(i(connectedu_component,s0),b))),EMPTY)) i(i(complexu_mul,i(vectoru_neg,ii)),i(i(complexu_div,i(i(vectoru_sub,z),i(cnj,z))),i(Cx,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0))))))) -> i(Cx,i(Im,z)) i(i(realu_div,x),i(sqrt,i(i(realu_add,i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))),i(i(realu_pow,x),i(NUMERAL,i(BIT0,i(BIT1,u_0))))))) -> i(sin,i(atn,x)) i(i(s_b_,i(FINITE,s0)),i(i(a_,i(affu_dim,s0)),i(i(intu_sub,i(intu_ofu_num,i(CARD,s0))),i(intu_ofu_num,i(NUMERAL,i(BIT1,u_0)))))) -> i(w_,i(affineu_dependent,s0)) i(i(i(COND,i(i(a_,n),i(NUMERAL,u_0))),i(Cx,i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))))),i(Cx,i(realu_ofu_num,i(NUMERAL,u_0)))) -> i(i(complexu_pow,i(Cx,i(realu_ofu_num,i(NUMERAL,u_0)))),n) i(i(i(m_m_g_,i(i(o,f),Re)),a),i(i(within,i(at,i(Cx,x))),i(i(INTER,real0),i(i(IMAGE,Cx),s0)))) -> i(i(i(m_m_g_,f),a),i(i(within,i(atreal,x)),s0)) i(i(i(COND,i(i(a_,z),i(Cx,i(realu_ofu_num,i(NUMERAL,u_0))))),i(Cx,i(realu_ofu_num,i(NUMERAL,u_0)))),i(i(complexu_pow,z),n)) -> i(i(cpow,z),i(Cx,i(realu_ofu_num,n))) i(i(i(COND,i(i(IN,a),s0)),i(independent,s0)),i(i(s_b_,i(independent,s0)),i(w_,i(i(IN,a),i(span,s0))))) -> i(independent,i(i(INSERT,a),s0)) i(i(i(COND,i(i(realu_lt,i(drop,a)),i(drop,b))),i(i(realu_sub,i(drop,b)),i(drop,a))),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(measure,i(openu_interval,i(i(c_,a),b))) i(i(i(COND,i(i(realu_lt,i(drop,a)),i(drop,b))),i(i(realu_sub,i(drop,b)),i(drop,a))),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(measure,i(closedu_interval,i(i(CONS,i(i(c_,a),b)),NIL))) i(i(i(COND,i(i(realu_le,i(drop,a)),i(drop,b))),i(i(realu_sub,i(drop,b)),i(drop,a))),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(measure,i(openu_interval,i(i(c_,a),b))) i(i(i(COND,i(i(realu_le,i(drop,a)),i(drop,b))),i(i(realu_sub,i(drop,b)),i(drop,a))),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(measure,i(closedu_interval,i(i(CONS,i(i(c_,a),b)),NIL))) i(i(i(COND,i(i(realu_le,i(drop,a)),i(drop,b))),i(openu_interval,i(i(c_,a),b))),i(openu_interval,i(i(c_,b),a))) -> i(openu_segment,i(i(c_,a),b)) i(Arg,i(i(complexu_div,i(i(dropout,i(NUMERAL,i(BIT1,i(BIT1,u_0)))),y)),i(i(dropout,i(NUMERAL,i(BIT1,i(BIT1,u_0)))),x))) -> i(i(i(i(azim,i(vec,i(NUMERAL,u_0))),i(basis,i(NUMERAL,i(BIT1,i(BIT1,u_0))))),x),y) i(i(i(COND,i(i(l_a_,m),i(SUC,n))),i(i(INSERT,i(SUC,n)),i(i(o_o_,m),n))),i(i(o_o_,m),n)) -> i(i(o_o_,m),i(SUC,n)) i(collinear,i(i(INSERT,i(vec,i(NUMERAL,u_0))),i(i(INSERT,i(basis,i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(i(INSERT,x),EMPTY)))) -> i(i(a_,i(i(dropout,i(NUMERAL,i(BIT1,i(BIT1,u_0)))),x)),i(vec,i(NUMERAL,u_0))) i(i(realu_max,i(realu_abs,i(i(d_,x),i(NUMERAL,i(BIT1,u_0))))),i(realu_abs,i(i(d_,x),i(NUMERAL,i(BIT0,i(BIT1,u_0)))))) -> i(infnorm,x) i(i(i(COND,i(i(l_,k),i(LENGTH,l))),i(i(EL,k),l)),i(i(EL,i(i(m_,k),i(LENGTH,l))),m)) -> i(i(EL,k),i(i(APPEND,l),m)) i(i(a_,i(distance,i(i(c_,a),b))),i(i(realu_add,i(distance,i(i(c_,a),x))),i(distance,i(i(c_,x),b)))) -> i(i(between,x),i(i(c_,a),b)) i(collinear,i(i(INSERT,i(vec,i(NUMERAL,u_0))),i(i(INSERT,i(i(vectoru_sub,x),y)),i(i(INSERT,i(i(vectoru_sub,z),y)),EMPTY)))) -> i(collinear,i(i(INSERT,x),i(i(INSERT,y),i(i(INSERT,z),EMPTY)))) i(i(realu_mul,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_div,e),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))) -> e i(i(d_,i(vector,i(i(CONS,x),i(i(CONS,y),i(i(CONS,z),NIL))))),i(NUMERAL,i(BIT1,i(BIT1,u_0)))) -> z i(i(continuousu_on,g),i(closedu_interval,i(i(CONS,i(i(c_,i(vec,i(NUMERAL,u_0))),i(vec,i(NUMERAL,i(BIT1,u_0))))),NIL))) -> i(path,g) i(i(IMAGE,g),i(closedu_interval,i(i(CONS,i(i(c_,i(vec,i(NUMERAL,u_0))),i(vec,i(NUMERAL,i(BIT1,u_0))))),NIL))) -> i(pathu_image,g) i(i(intu_le,i(i(intu_pow,x),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(intu_pow,y),i(NUMERAL,i(BIT0,i(BIT1,u_0))))) -> i(i(intu_le,i(intu_abs,x)),i(intu_abs,y)) i(i(i(COND,i(i(IN,x),i(span,s0))),i(dim,s0)),i(i(p_,i(dim,s0)),i(NUMERAL,i(BIT1,u_0)))) -> i(dim,i(i(INSERT,x),s0)) i(i(realu_le,i(i(realu_pow,x),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_pow,y),i(NUMERAL,i(BIT0,i(BIT1,u_0))))) -> i(i(realu_le,i(realu_abs,x)),i(realu_abs,y)) i(i(complexu_div,i(i(complexu_mul,a),i(cnj,b))),i(i(complexu_pow,i(Cx,i(vectoru_norm,b))),i(NUMERAL,i(BIT0,i(BIT1,u_0))))) -> i(i(complexu_div,a),b) i(i(s_b_,i(path,p)),i(i(s_b_,i(i(SUBSET,i(pathu_image,p)),s0)),i(i(a_,i(pathfinish,p)),i(pathstart,p)))) -> i(i(i(homotopicu_loops,s0),p),p) i(i(intu_lt,i(i(intu_pow,x),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(intu_pow,y),i(NUMERAL,i(BIT0,i(BIT1,u_0))))) -> i(i(intu_lt,i(intu_abs,x)),i(intu_abs,y)) i(i(realu_lt,i(i(realu_pow,x),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_pow,y),i(NUMERAL,i(BIT0,i(BIT1,u_0))))) -> i(i(realu_lt,i(realu_abs,x)),i(realu_abs,y)) i(i(b_s_,i(i(a_,x),i(Cx,i(realu_ofu_num,i(NUMERAL,u_0))))),i(i(a_,y),i(Cx,i(realu_ofu_num,i(NUMERAL,u_0))))) -> i(i(a_,i(i(complexu_mul,x),y)),i(Cx,i(realu_ofu_num,i(NUMERAL,u_0)))) i(i(i(COND,i(i(a_,a),b)),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))),i(realu_neg,i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))))) -> i(sign,i(swap,i(i(c_,a),b))) i(i(a_,i(i(intu_pow,x),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(intu_pow,y),i(NUMERAL,i(BIT0,i(BIT1,u_0))))) -> i(i(a_,i(intu_abs,x)),i(intu_abs,y)) i(i(a_,i(i(realu_pow,x),i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_pow,y),i(NUMERAL,i(BIT0,i(BIT1,u_0))))) -> i(i(a_,i(realu_abs,x)),i(realu_abs,y)) i(i(d_,i(i(d_,i(i(matrixu_mul,i(rowvector,x)),i(columnvector,y))),i(NUMERAL,i(BIT1,u_0)))),i(NUMERAL,i(BIT1,u_0))) -> i(i(dot,x),y) i(i(s_b_,i(i(a_,i(i(matrixu_vectoru_mul,A),x)),i(vec,i(NUMERAL,u_0)))),i(i(IN,x),i(span,i(rows,A)))) -> i(i(a_,x),i(vec,i(NUMERAL,u_0))) i(i(i(COND,i(i(l_a_,i(NUMERAL,i(BIT0,i(BIT1,u_0)))),i(dimindex,UNIV))),EMPTY),i(openu_segment,i(i(c_,a),b))) -> i(interior,i(openu_segment,i(i(c_,a),b))) i(i(i(COND,i(i(l_a_,i(NUMERAL,i(BIT0,i(BIT1,u_0)))),i(dimindex,UNIV))),EMPTY),i(openu_segment,i(i(c_,a),b))) -> i(interior,i(closedu_segment,i(i(CONS,i(i(c_,a),b)),NIL))) i(i(dot,b),i(i(vectoru_sub,x),i(i(r_,i(i(realu_div,i(i(dot,b),x)),i(i(dot,b),b))),b))) -> i(realu_ofu_num,i(NUMERAL,u_0)) i(i(b_s_,i(i(a_,i(i(vectoru_angle,x),y)),i(realu_ofu_num,i(NUMERAL,u_0)))),i(i(a_,i(i(vectoru_angle,x),y)),pi)) -> i(i(a_,i(sin,i(i(vectoru_angle,x),y))),i(realu_ofu_num,i(NUMERAL,u_0))) i(i(i(hasu_complexu_derivative,i(i(o,Cx),i(i(o,f),Re))),i(Cx,fi_)),i(i(within,i(at,i(Cx,a))),real0)) -> i(i(i(hasu_realu_derivative,f),fi_),i(atreal,a)) i(i(d_,i(vector,i(i(CONS,x),i(i(CONS,y),i(i(CONS,z),NIL))))),i(NUMERAL,i(BIT0,i(BIT1,u_0)))) -> y i(i(i(COND,i(i(a_,y),i(realu_ofu_num,i(NUMERAL,u_0)))),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(i(rpow,i(realu_ofu_num,i(NUMERAL,u_0))),y) i(i(continuous,i(i(o,lift),i(i(o,f),drop))),i(i(within,i(at,i(lift,x))),i(i(IMAGE,lift),s0))) -> i(i(realu_continuous,f),i(i(within,i(atreal,x)),s0)) i(i(s_b_,i(i(IN,a),i(openu_segment,i(i(c_,c),d)))),i(i(IN,b),i(openu_segment,i(i(c_,c),d)))) -> i(i(SUBSET,i(closedu_segment,i(i(CONS,i(i(c_,a),b)),NIL))),i(openu_segment,i(i(c_,c),d))) i(i(a_,i(closedu_segment,i(i(CONS,i(i(c_,a),b)),NIL))),i(closedu_segment,i(i(CONS,i(i(c_,c),d)),NIL))) -> i(i(a_,i(i(INSERT,a),i(i(INSERT,b),EMPTY))),i(i(INSERT,c),i(i(INSERT,d),EMPTY))) i(i(i(i(dihV,i(i(vectoru_add,a),w0)),i(i(vectoru_add,a),w1)),i(i(vectoru_add,a),w2)),i(i(vectoru_add,a),w3)) -> i(i(i(i(dihV,w0),w1),w2),w3) i(i(i(i(azim,i(i(vectoru_add,a),v)),i(i(vectoru_add,a),w)),i(i(vectoru_add,a),w1)),i(i(vectoru_add,a),w2)) -> i(i(i(i(azim,v),w),w1),w2) i(i(i(COND,i(i(a_,n),i(NUMERAL,u_0))),h),i(i(EL,i(i(m_,n),i(NUMERAL,i(BIT1,u_0)))),t)) -> i(i(EL,n),i(i(CONS,h),t)) i(i(s_b_,i(i(realu_le,i(realu_ofu_num,i(NUMERAL,u_0))),x)),i(i(realu_lt,x),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))))) -> i(i(a_,i(frac,x)),x) i(i(s_b_,i(i(realu_le,i(realu_ofu_num,i(NUMERAL,u_0))),x)),i(i(realu_lt,x),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))))) -> i(i(a_,i(floor,x)),i(realu_ofu_num,i(NUMERAL,u_0))) i(i(i(COND,i(evenperm,p)),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))),i(realu_neg,i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))))) -> i(sign,p) i(i(i(COND,i(i(a_,m),i(NUMERAL,u_0))),i(f,i(NUMERAL,u_0))),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))) -> i(i(product,i(i(o_o_,m),i(NUMERAL,u_0))),f) i(i(complexu_mul,i(Cx,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(complexu_mul,i(csin,z)),i(ccos,z))) -> i(csin,i(i(complexu_mul,i(Cx,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),z)) i(i(i(COND,i(i(naddu_eq,x),i(naddu_ofu_num,i(NUMERAL,u_0)))),i(naddu_ofu_num,i(NUMERAL,u_0))),i(mku_nadd,i(naddu_rinv,x))) -> i(naddu_inv,x) 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i(i(a_,i(i(rpow,x),y)),i(realu_ofu_num,i(NUMERAL,u_0))) i(i(s_b_,i(i(a_,x),i(Cx,i(realu_ofu_num,i(NUMERAL,u_0))))),i(w_,i(i(a_,n),i(NUMERAL,u_0)))) -> i(i(a_,i(i(complexu_pow,x),n)),i(Cx,i(realu_ofu_num,i(NUMERAL,u_0)))) i(i(DIFF,i(closedu_realu_segment,i(i(CONS,i(i(c_,a),b)),NIL))),i(i(INSERT,a),i(i(INSERT,b),EMPTY))) -> i(openu_realu_segment,i(i(c_,a),b)) i(i(DIFF,i(closedu_segment,i(i(CONS,i(i(c_,a),b)),NIL))),i(i(INSERT,a),i(i(INSERT,b),EMPTY))) -> i(openu_segment,i(i(c_,a),b)) i(i(DIFF,i(closedu_interval,i(i(CONS,i(i(c_,a),b)),NIL))),i(i(INSERT,a),i(i(INSERT,b),EMPTY))) -> i(openu_interval,i(i(c_,a),b)) i(i(DIFF,i(closedu_realu_interval,i(i(CONS,i(i(c_,a),b)),NIL))),i(i(INSERT,a),i(i(INSERT,b),EMPTY))) -> i(openu_realu_interval,i(i(c_,a),b)) i(i(t_,i(BIT1,m)),i(i(t_,i(i(EXP,i(BIT1,m)),n)),i(i(EXP,i(BIT1,m)),n))) -> i(i(EXP,i(BIT1,m)),i(BIT1,n)) i(i(t_,i(BIT0,m)),i(i(t_,i(i(EXP,i(BIT0,m)),n)),i(i(EXP,i(BIT0,m)),n))) -> i(i(EXP,i(BIT0,m)),i(BIT1,n)) i(i(i(COND,i(i(realu_le,a),b)),i(openu_realu_interval,i(i(c_,a),b))),i(openu_realu_interval,i(i(c_,b),a))) -> i(openu_realu_segment,i(i(c_,a),b)) i(closedu_interval,i(i(CONS,i(i(c_,i(i(vectoru_sub,x),i(lift,e))),i(i(vectoru_add,x),i(lift,e)))),NIL)) -> i(cball,i(i(c_,x),e)) i(i(t_,i(FACT,n)),i(i(t_,i(FACT,k)),i(binom,i(i(c_,i(i(p_,n),k)),k)))) -> i(FACT,i(i(p_,n),k)) i(content,i(closedu_interval,i(i(CONS,i(i(c_,i(vec,i(NUMERAL,u_0))),i(vec,i(NUMERAL,i(BIT1,u_0))))),NIL))) -> i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))) i(i(i(COND,i(i(a_,n),i(NUMERAL,u_0))),i(intu_ofu_num,i(NUMERAL,i(BIT1,u_0)))),i(intu_ofu_num,i(NUMERAL,u_0))) -> i(i(intu_pow,i(intu_ofu_num,i(NUMERAL,u_0))),n) i(i(i(COND,i(i(a_,n),i(NUMERAL,u_0))),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(i(realu_pow,i(realu_ofu_num,i(NUMERAL,u_0))),n) i(i(i(m_m_m_g_,i(i(o,f),drop)),a),i(i(within,i(at,i(lift,x))),i(i(IMAGE,lift),s0))) -> i(i(i(m_m_m_g_,f),a),i(i(within,i(atreal,x)),s0)) i(i(i(m_m_g_,i(i(o,f),drop)),a),i(i(within,i(at,i(lift,x))),i(i(IMAGE,lift),s0))) -> i(i(i(m_m_g_,f),a),i(i(within,i(atreal,x)),s0)) i(i(s_b_,i(i(continuousu_on,f),X)),i(i(s_b_,i(i(SUBSET,i(i(IMAGE,f),X)),Y)),i(P,f))) -> i(i(i(i(homotopicu_with,P),i(i(c_,X),Y)),f),f) i(angle,i(i(c_,i(i(vectoru_add,a),b)),i(i(c_,i(i(vectoru_add,a),c)),i(i(vectoru_add,a),d)))) -> i(angle,i(i(c_,b),i(i(c_,c),d))) i(i(i(COND,i(i(IN,x),t)),i(i(DIFF,s0),t)),i(i(INSERT,x),i(i(DIFF,s0),t))) -> i(i(DIFF,i(i(INSERT,x),s0)),t) i(i(i(COND,i(i(IN,x),t)),i(i(UNION,s0),t)),i(i(INSERT,x),i(i(UNION,s0),t))) -> i(i(UNION,i(i(INSERT,x),s0)),t) i(i(i(COND,i(i(IN,x),t)),i(i(INSERT,x),i(i(INTER,s0),t))),i(i(INTER,s0),t)) -> i(i(INTER,i(i(INSERT,x),s0)),t) i(i(i(COND,i(i(a_,x),y)),i(i(DELETE,s0),y)),i(i(INSERT,x),i(i(DELETE,s0),y))) -> i(i(DELETE,i(i(INSERT,x),s0)),y) i(i(s_b_,i(i(realu_lt,i(realu_ofu_num,i(NUMERAL,u_0))),e)),i(i(IN,y),i(cball,i(i(c_,x),e)))) -> i(i(limitu_pointu_of,y),i(ball,i(i(c_,x),e))) 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i(i(realu_mul,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_mul,i(sin,x)),i(cos,x))) -> i(sin,i(i(realu_mul,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0))))),x)) i(i(b_s_,i(i(a_,i(Arg,z)),i(realu_ofu_num,i(NUMERAL,u_0)))),i(i(a_,i(Arg,z)),pi)) -> i(real0,z) i(i(p_,i(BIT1,m)),i(i(p_,i(BIT0,n)),i(BIT0,i(BIT0,i(i(t_,m),n))))) -> i(i(t_,i(BIT1,m)),i(BIT1,n)) i(i(i(COND,i(i(a_,a),b)),i(intu_ofu_num,i(NUMERAL,u_0))),i(intu_ofu_num,i(NUMERAL,i(BIT1,u_0)))) -> i(affu_dim,i(i(INSERT,a),i(i(INSERT,b),EMPTY))) i(i(b_s_,i(i(a_,x),i(realu_ofu_num,i(NUMERAL,u_0)))),i(i(a_,y),i(realu_ofu_num,i(NUMERAL,u_0)))) -> i(i(a_,i(i(realu_mul,x),y)),i(realu_ofu_num,i(NUMERAL,u_0))) i(i(b_s_,i(i(a_,x),i(intu_ofu_num,i(NUMERAL,u_0)))),i(i(a_,y),i(intu_ofu_num,i(NUMERAL,u_0)))) -> i(i(a_,i(i(intu_mul,x),y)),i(intu_ofu_num,i(NUMERAL,u_0))) i(i(b_s_,i(i(a_,a),i(realu_ofu_num,i(NUMERAL,u_0)))),i(i(a_,x),i(vec,i(NUMERAL,u_0)))) -> i(i(a_,i(i(r_,a),x)),i(vec,i(NUMERAL,u_0))) i(i(s_b_,i(i(a_,x),i(intu_ofu_num,i(NUMERAL,u_0)))),i(w_,i(i(a_,n),i(NUMERAL,u_0)))) -> i(i(a_,i(i(intu_pow,x),n)),i(intu_ofu_num,i(NUMERAL,u_0))) i(i(s_b_,i(i(a_,x),i(realu_ofu_num,i(NUMERAL,u_0)))),i(w_,i(i(a_,n),i(NUMERAL,u_0)))) -> i(i(a_,i(i(realu_pow,x),n)),i(realu_ofu_num,i(NUMERAL,u_0))) i(i(s_b_,i(i(a_,m),i(NUMERAL,i(BIT1,u_0)))),i(i(a_,n),i(NUMERAL,i(BIT1,u_0)))) -> i(i(a_,i(i(t_,m),n)),i(NUMERAL,i(BIT1,u_0))) i(i(s_b_,i(i(faceu_of,e),s0)),i(i(a_,i(affu_dim,e)),i(intu_ofu_num,i(NUMERAL,i(BIT1,u_0))))) -> i(i(edgeu_of,e),s0) i(i(a_,i(i(vectoru_angle,x),y)),i(i(realu_div,pi),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))) -> i(i(orthogonal,x),y) i(i(i(COND,i(i(a_,a),b)),EMPTY),i(closedu_segment,i(i(CONS,i(i(c_,a),b)),NIL))) -> i(closure,i(openu_segment,i(i(c_,a),b))) i(i(i(COND,i(i(IN,x),s0)),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(drop,i(i(indicator,s0),x)) i(i(vectoru_add,i(i(complexu_mul,i(csin,w)),i(ccos,z))),i(i(complexu_mul,i(ccos,w)),i(csin,z))) -> i(csin,i(i(vectoru_add,w),z)) i(i(DIFF,i(closedu_interval,i(i(CONS,i(i(c_,a),b)),NIL))),i(openu_interval,i(i(c_,a),b))) -> i(frontier,i(closedu_interval,i(i(CONS,i(i(c_,a),b)),NIL))) i(i(realu_add,i(i(realu_mul,i(sin,x)),i(cos,y))),i(i(realu_mul,i(cos,x)),i(sin,y))) -> i(sin,i(i(realu_add,x),y)) i(i(i(COND,i(i(a_,a),b)),i(i(INSERT,a),EMPTY)),i(openu_segment,i(i(c_,a),b))) -> i(relativeu_interior,i(closedu_segment,i(i(CONS,i(i(c_,a),b)),NIL))) i(i(vectoru_sub,i(i(complexu_mul,i(ccos,w)),i(ccos,z))),i(i(complexu_mul,i(csin,w)),i(csin,z))) -> i(ccos,i(i(vectoru_add,w),z)) i(i(s_b_,i(i(SUBSET,s0),i(topspace,top))),i(i(closedu_in,top),i(i(DIFF,i(topspace,top)),s0))) -> i(i(openu_in,top),s0) i(i(realu_add,i(i(realu_mul,i(cos,w)),i(cos,z))),i(i(realu_mul,i(sin,w)),i(sin,z))) -> i(cos,i(i(realu_sub,w),z)) i(i(s_b_,i(i(a_,i(Re,w)),i(Re,z))),i(i(a_,i(Im,w)),i(Im,z))) -> i(i(a_,w),z) i(i(vectoru_sub,i(i(complexu_mul,i(csin,w)),i(ccos,z))),i(i(complexu_mul,i(ccos,w)),i(csin,z))) -> i(csin,i(i(vectoru_sub,w),z)) i(i(s_b_,i(i(SUBSET,s0),i(topspace,top))),i(i(openu_in,top),i(i(DIFF,i(topspace,top)),s0))) -> i(i(closedu_in,top),s0) i(i(realu_sub,i(i(realu_mul,i(sin,w)),i(cos,z))),i(i(realu_mul,i(cos,w)),i(sin,z))) -> i(sin,i(i(realu_sub,w),z)) i(i(s_b_,i(i(a_,i(fstcart,x)),i(fstcart,y))),i(i(a_,i(sndcart,x)),i(sndcart,y))) -> i(i(a_,x),y) i(i(vectoru_add,i(i(complexu_mul,i(ccos,w)),i(ccos,z))),i(i(complexu_mul,i(csin,w)),i(csin,z))) -> i(ccos,i(i(vectoru_sub,w),z)) i(i(realu_sub,i(i(realu_mul,i(cos,x)),i(cos,y))),i(i(realu_mul,i(sin,x)),i(sin,y))) -> i(cos,i(i(realu_add,x),y)) i(i(a_,i(content,i(closedu_interval,i(i(CONS,i(i(c_,a),b)),NIL)))),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(i(realu_le,i(drop,b)),i(drop,a)) i(i(a_,i(content,i(closedu_interval,i(i(CONS,i(i(c_,a),b)),NIL)))),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(i(a_,i(interior,i(closedu_interval,i(i(CONS,i(i(c_,a),b)),NIL)))),EMPTY) i(i(cross,i(basis,i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(basis,i(NUMERAL,i(BIT1,i(BIT1,u_0))))) -> i(basis,i(NUMERAL,i(BIT1,u_0))) i(i(complexu_mul,i(vectoru_neg,ii)),i(Cx,i(i(realu_div,pi),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0))))))) -> i(clog,i(vectoru_neg,ii)) i(closedu_interval,i(i(CONS,i(i(c_,i(vec,i(NUMERAL,i(BIT1,u_0)))),i(vec,i(NUMERAL,u_0)))),NIL)) -> EMPTY i(closedu_realu_interval,i(i(CONS,i(i(c_,i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))),i(realu_ofu_num,i(NUMERAL,u_0)))),NIL)) -> EMPTY i(i(continuous,i(i(o,Cx),i(i(o,f),Re))),i(i(within,i(at,i(Cx,x))),real0)) -> i(i(realu_continuous,f),i(atreal,x)) i(i(realu_mul,i(i(d_,x),i(NUMERAL,i(BIT1,u_0)))),i(i(d_,y),i(NUMERAL,i(BIT1,u_0)))) -> i(i(dot,x),y) i(i(cross,i(basis,i(NUMERAL,i(BIT1,i(BIT1,u_0))))),i(basis,i(NUMERAL,i(BIT0,i(BIT1,u_0))))) -> i(vectoru_neg,i(basis,i(NUMERAL,i(BIT1,u_0)))) i(i(d_,i(vector,i(i(CONS,x),i(i(CONS,y),NIL)))),i(NUMERAL,i(BIT0,i(BIT1,u_0)))) -> y i(i(realu_lt,i(realu_ofu_num,i(NUMERAL,u_0))),i(i(realu_div,e),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))) -> i(i(realu_lt,i(realu_ofu_num,i(NUMERAL,u_0))),e) i(i(s_b_,i(i(realu_lt,i(realu_ofu_num,i(NUMERAL,u_0))),i(Arg,z))),i(i(realu_lt,i(Arg,z)),pi)) -> i(i(realu_lt,i(realu_ofu_num,i(NUMERAL,u_0))),i(Im,z)) i(i(IMAGE,mku_finiteu_sum),i(i(o_o_,i(NUMERAL,i(BIT1,u_0))),i(i(p_,i(dimindex,UNIV)),i(dimindex,UNIV)))) -> UNIV i(i(i(COND,i(i(a_,x),i(vec,i(NUMERAL,u_0)))),i(NUMERAL,u_0)),i(NUMERAL,i(BIT1,u_0))) -> i(dim,i(i(INSERT,x),EMPTY)) i(i(i(COND,i(i(a_,m),i(NUMERAL,u_0))),i(f,i(NUMERAL,u_0))),i(vec,i(NUMERAL,u_0))) -> i(i(vsum,i(i(o_o_,m),i(NUMERAL,u_0))),f) i(i(i(COND,i(i(a_,m),i(NUMERAL,u_0))),i(f,i(NUMERAL,u_0))),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(i(sum,i(i(o_o_,m),i(NUMERAL,u_0))),f) i(i(realu_mul,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(i(realu_mul,i(Re,z)),i(Im,z))) -> i(Im,i(i(complexu_pow,z),i(NUMERAL,i(BIT0,i(BIT1,u_0))))) i(i(realu_sub,i(i(d_,i(i(d_,A),i0)),j)),i(i(d_,i(i(d_,B),i0)),j)) -> i(i(d_,i(i(d_,i(i(matrixu_sub,A),B)),i0)),j) i(i(b_s_,i(i(l_,n),m)),i(i(s_b_,i(i(l_a_,p),m)),i(i(l_a_,n),q))) -> i(i(SUBSET,i(i(o_o_,m),n)),i(i(o_o_,p),q)) i(i(realu_add,i(i(d_,i(i(d_,A),i0)),j)),i(i(d_,i(i(d_,B),i0)),j)) -> i(i(d_,i(i(d_,i(i(matrixu_add,A),B)),i0)),j) i(measure,i(conv0,i(i(INSERT,v0),i(i(INSERT,v1),i(i(INSERT,v2),i(i(INSERT,v3),EMPTY)))))) -> i(i(i(i(volu_conv,v0),v1),v2),v3) i(i(s_b_,i(i(a_,c1),c2)),i(i(s_b_,i(i(a_,i1),i2)),i(i(a_,r1),r2))) -> i(i(a_,i(i(i(CONSTR,c1),i1),r1)),i(i(i(CONSTR,c2),i2),r2)) i(i(b_s_,i(i(a_,x),y)),i(i(b_s_,i(i(R,x),y)),i(i(R,y),x))) -> i(i(i(RSC,R),x),y) i(i(a_,i(i(IN,x),i(i(DELETE,s0),xi_))),i(i(IN,xi_),i(i(DELETE,s0),x))) -> i(i(a_,i(i(IN,x),s0)),i(i(IN,xi_),s0)) i(i(i(COND,i(i(a_,k),i0)),j),i(i(i(COND,i(i(a_,k),j)),i0),k)) -> i(i(swap,i(i(c_,i0),j)),k) i(i(vectoru_sub,i(i(r_,i(i(dot,x),z)),y)),i(i(r_,i(i(dot,x),y)),z)) -> i(i(cross,x),i(i(cross,y),z)) i(i(s_b_,i(i(l_a_,m),i(i(p_,n),p))),i(i(l_a_,n),i(i(p_,m),p))) -> i(i(l_a_,i(dist,i(i(c_,m),n))),p) i(i(i(hasu_integral,i(i(o,lift),i(i(o,f),drop))),i(lift,y)),i(i(IMAGE,lift),s0)) -> i(i(i(hasu_realu_integral,f),y),s0) i(i(between,i(i(vectoru_add,a),x)),i(i(c_,i(i(vectoru_add,a),y)),i(i(vectoru_add,a),z))) -> i(i(between,x),i(i(c_,y),z)) i(i(IN,i(vectoru_neg,x)),i(closedu_interval,i(i(CONS,i(i(c_,i(vectoru_neg,b)),i(vectoru_neg,a))),NIL))) -> i(i(IN,x),i(closedu_interval,i(i(CONS,i(i(c_,a),b)),NIL))) i(i(s_b_,i(orthogonalu_matrix,Q)),i(i(a_,i(det,Q)),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))))) -> i(rotationu_matrix,Q) i(i(i(COND,i(i(a_,m),i(NUMERAL,u_0))),i(i(INSERT,i(NUMERAL,u_0)),EMPTY)),EMPTY) -> i(i(o_o_,m),i(NUMERAL,u_0)) i(i(b_s_,i(affineu_dependent,s0)),i(i(IN,i(vec,i(NUMERAL,u_0))),i(i(hull,affine),s0))) -> i(dependent,s0) i(i(s_b_,i(w_,i(i(a_,s0),EMPTY))),i(i(s_b_,i(convex,s0)),i(conic,s0))) -> i(convexu_cone,s0) i(i(s_b_,i(i(a_a_g_,c),i(P,x))),i(i(a_a_g_,i(w_,c)),i(P,y))) -> i(P,i(i(i(COND,c),x),y)) i(i(realu_div,i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0))))) -> i(sin,i(i(realu_div,pi),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,i(BIT1,u_0))))))) i(i(cross,i(basis,i(NUMERAL,i(BIT1,u_0)))),i(basis,i(NUMERAL,i(BIT1,i(BIT1,u_0))))) -> i(vectoru_neg,i(basis,i(NUMERAL,i(BIT0,i(BIT1,u_0))))) i(i(cross,i(basis,i(NUMERAL,i(BIT0,i(BIT1,u_0))))),i(basis,i(NUMERAL,i(BIT1,u_0)))) -> i(vectoru_neg,i(basis,i(NUMERAL,i(BIT1,i(BIT1,u_0))))) i(cos,i(i(realu_sub,i(i(realu_div,pi),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),x)) -> i(sin,x) i(sin,i(i(realu_sub,i(i(realu_div,pi),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),x)) -> i(cos,x) i(tan,i(i(realu_sub,i(i(realu_div,pi),i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),x)) -> i(realu_inv,i(tan,x)) i(trivialu_limit,i(i(within,i(at,i(Cx,x))),i(i(INTER,real0),i(i(IMAGE,Cx),s0)))) -> i(trivialu_limit,i(i(within,i(atreal,x)),s0)) i(measure,i(cball,i(i(c_,i(vec,i(NUMERAL,u_0))),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))))) -> pi i(i(i(COND,i(i(a_,i(FST,h)),a)),i(SND,h)),i(i(ASSOC,a),t)) -> i(i(ASSOC,a),i(i(CONS,h),t)) i(i(d_,i(vector,i(i(CONS,x),i(i(CONS,y),NIL)))),i(NUMERAL,i(BIT1,u_0))) -> x i(i(complexu_mul,i(Cx,i(exp,r))),i(complex,i(i(c_,i(cos,t)),i(sin,t)))) -> i(cexp,i(complex,i(i(c_,r),t))) i(i(realu_mul,i(vectoru_norm,x)),i(i(realu_mul,i(vectoru_norm,y)),i(cos,i(i(vectoru_angle,x),y)))) -> i(i(dot,x),y) i(i(s_b_,i(i(l_,n),m)),i(w_,i(i(a_,i(ODD,m)),i(ODD,n)))) -> i(ODD,i(i(m_,m),n)) i(collinear,i(i(INSERT,i(vec,i(NUMERAL,u_0))),i(i(INSERT,x),i(i(INSERT,y),EMPTY)))) -> i(i(a_,i(i(cross,x),y)),i(vec,i(NUMERAL,u_0))) i(i(s_b_,i(i(a_,m),i(NUMERAL,u_0))),i(w_,i(i(a_,n),i(NUMERAL,u_0)))) -> i(i(a_,i(i(EXP,m),n)),i(NUMERAL,u_0)) i(i(realu_mul,i(vectoru_norm,x)),i(i(realu_mul,i(vectoru_norm,y)),i(sin,i(i(vectoru_angle,x),y)))) -> i(vectoru_norm,i(i(cross,x),y)) i(openu_interval,i(i(c_,i(i(vectoru_sub,x),i(lift,e))),i(i(vectoru_add,x),i(lift,e)))) -> i(ball,i(i(c_,x),e)) i(i(UNION,i(openu_segment,i(i(c_,a),b))),i(i(INSERT,a),i(i(INSERT,b),EMPTY))) -> i(closedu_segment,i(i(CONS,i(i(c_,a),b)),NIL)) i(i(IMAGE,lift),i(closedu_realu_segment,i(i(CONS,i(i(c_,i(drop,a)),i(drop,b))),NIL))) -> i(closedu_segment,i(i(CONS,i(i(c_,a),b)),NIL)) i(i(b_s_,i(w_,i(i(a_,x),i(NUMERAL,u_0)))),i(i(a_,n),i(NUMERAL,u_0))) -> i(i(l_,i(NUMERAL,u_0)),i(i(EXP,x),n)) i(i(b_s_,i(i(a_,x),i(NUMERAL,i(BIT1,u_0)))),i(i(a_,n),i(NUMERAL,u_0))) -> i(i(a_,i(i(EXP,x),n)),i(NUMERAL,i(BIT1,u_0))) i(i(IMAGE,drop),i(closedu_segment,i(i(CONS,i(i(c_,i(lift,a)),i(lift,b))),NIL))) -> i(closedu_realu_segment,i(i(CONS,i(i(c_,a),b)),NIL)) i(i(i(COND,i(EVEN,n)),i(i(complexu_pow,x),n)),i(vectoru_neg,i(i(complexu_pow,x),n))) -> i(i(complexu_pow,i(vectoru_neg,x)),n) i(i(p_,i(binom,i(i(c_,n),i(SUC,k)))),i(binom,i(i(c_,n),k))) -> i(binom,i(i(c_,i(SUC,n)),i(SUC,k))) i(i(i(COND,i(EVEN,n)),i(i(intu_pow,x),n)),i(intu_neg,i(i(intu_pow,x),n))) -> i(i(intu_pow,i(intu_neg,x)),n) i(i(i(COND,i(EVEN,n)),i(i(realu_pow,x),n)),i(realu_neg,i(i(realu_pow,x),n))) -> i(i(realu_pow,i(realu_neg,x)),n) i(i(a_,s0),i(i(INSERT,i(closedu_interval,i(i(CONS,i(i(c_,a),a)),NIL))),EMPTY)) -> i(i(divisionu_of,s0),i(closedu_interval,i(i(CONS,i(i(c_,a),a)),NIL))) i(i(vectoru_add,x),i(i(complexu_mul,i(Cx,i(realu_neg,i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))))),y)) -> i(i(vectoru_sub,x),y) i(i(a_,i(vectoru_norm,i(i(vectoru_add,x),y))),i(i(realu_add,i(vectoru_norm,x)),i(vectoru_norm,y))) -> i(i(a_,i(i(r_,i(vectoru_norm,x)),y)),i(i(r_,i(vectoru_norm,y)),x)) i(i(r_,i(realu_inv,i(realu_ofu_num,i(NUMERAL,i(BIT0,i(BIT1,u_0)))))),i(i(vectoru_add,a),b)) -> i(midpoint,i(i(c_,a),b)) i(i(complexu_mul,i(i(complexu_pow,i(vectoru_neg,i(Cx,i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))))),n)),z) -> 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i(i(realu_le,i(realu_ofu_num,i(NUMERAL,u_0))),x) i(i(realu_lt,i(realu_neg,x)),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(i(realu_lt,i(realu_ofu_num,i(NUMERAL,u_0))),x) i(i(realu_le,i(realu_ofu_num,i(NUMERAL,u_0))),i(floor,x)) -> i(i(realu_le,i(realu_ofu_num,i(NUMERAL,u_0))),x) i(i(a_,i(frac,x)),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(integer,x) i(i(realu_lt,i(realu_ofu_num,i(NUMERAL,u_0))),i(realu_inv,x)) -> i(i(realu_lt,i(realu_ofu_num,i(NUMERAL,u_0))),x) i(i(root,i(NUMERAL,i(BIT0,i(BIT1,u_0)))),x) -> i(sqrt,x) i(i(a_,i(det,A)),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(w_,i(invertible,A)) i(i(realu_le,i(realu_ofu_num,i(NUMERAL,u_0))),i(Im,z)) -> i(i(realu_le,i(Arg,z)),pi) i(ball,i(i(c_,x),i(realu_ofu_num,i(NUMERAL,u_0)))) -> EMPTY i(i(a_,i(intu_sgn,x)),i(intu_ofu_num,i(NUMERAL,u_0))) -> i(i(a_,x),i(intu_ofu_num,i(NUMERAL,u_0))) i(i(a_,i(Im,z)),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(real0,z) i(i(realu_le,i(realu_ofu_num,i(NUMERAL,u_0))),i(realu_neg,x)) -> i(i(realu_le,x),i(realu_ofu_num,i(NUMERAL,u_0))) i(i(complexu_mul,i(Cx,i(realu_ofu_num,i(NUMERAL,u_0)))),x) -> i(Cx,i(realu_ofu_num,i(NUMERAL,u_0))) i(i(realu_lt,i(realu_ofu_num,i(NUMERAL,u_0))),i(realu_neg,x)) -> i(i(realu_lt,x),i(realu_ofu_num,i(NUMERAL,u_0))) i(i(rpow,i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))),z) -> i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))) i(i(cpow,i(Cx,i(realu_ofu_num,i(NUMERAL,u_0)))),z) -> i(Cx,i(realu_ofu_num,i(NUMERAL,u_0))) i(i(a_,i(drop,x)),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(i(a_,x),i(vec,i(NUMERAL,u_0))) i(i(a_,i(infnorm,x)),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(i(a_,x),i(vec,i(NUMERAL,u_0))) i(i(a_,i(intu_neg,x)),i(intu_ofu_num,i(NUMERAL,u_0))) -> i(i(a_,x),i(intu_ofu_num,i(NUMERAL,u_0))) i(i(a_,i(vectoru_norm,x)),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(i(a_,x),i(vec,i(NUMERAL,u_0))) i(i(a_,i(realu_neg,x)),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(i(a_,x),i(realu_ofu_num,i(NUMERAL,u_0))) i(i(a_,i(matrixu_neg,A)),i(mat,i(NUMERAL,u_0))) -> i(i(a_,A),i(mat,i(NUMERAL,u_0))) i(i(rotate2d,t),i(Cx,i(realu_ofu_num,i(NUMERAL,u_0)))) -> i(Cx,i(realu_ofu_num,i(NUMERAL,u_0))) i(i(complexu_mul,x),i(Cx,i(realu_ofu_num,i(NUMERAL,u_0)))) -> i(Cx,i(realu_ofu_num,i(NUMERAL,u_0))) i(i(realu_mul,i(exp,i(realu_neg,x))),i(exp,x)) -> i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))) i(i(intu_pow,i(intu_ofu_num,i(NUMERAL,i(BIT1,u_0)))),n) -> i(intu_ofu_num,i(NUMERAL,i(BIT1,u_0))) i(vectoru_norm,i(cexp,i(i(complexu_mul,ii),i(Cx,t)))) -> i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))) i(i(intu_le,i(intu_ofu_num,i(NUMERAL,u_0))),i(intu_neg,x)) -> i(i(intu_le,x),i(intu_ofu_num,i(NUMERAL,u_0))) i(i(intu_lt,i(intu_ofu_num,i(NUMERAL,u_0))),i(intu_neg,x)) -> i(i(intu_lt,x),i(intu_ofu_num,i(NUMERAL,u_0))) i(i(realu_le,i(vectoru_norm,x)),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(i(a_,x),i(vec,i(NUMERAL,u_0))) i(i(realu_mul,i(exp,x)),i(exp,i(realu_neg,x))) -> i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))) i(i(c_,i(hrealu_ofu_num,n)),i(hrealu_ofu_num,i(NUMERAL,u_0))) -> i(trealu_ofu_num,n) i(i(a_,i(intu_abs,x)),i(intu_ofu_num,i(NUMERAL,u_0))) -> i(i(a_,x),i(intu_ofu_num,i(NUMERAL,u_0))) i(i(a_,i(realu_inv,x)),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(i(a_,x),i(realu_ofu_num,i(NUMERAL,u_0))) i(i(a_,i(realu_abs,x)),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(i(a_,x),i(realu_ofu_num,i(NUMERAL,u_0))) i(i(a_,i(realu_sgn,x)),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(i(a_,x),i(realu_ofu_num,i(NUMERAL,u_0))) i(i(realu_pow,i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))),n) -> i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))) i(i(m_m_g_,i(i(o,Cx),s0)),i(Cx,l)) -> i(i(m_m_m_g_,s0),l) i(i(m_m_g_,i(i(o,lift),s0)),i(lift,l)) -> i(i(m_m_m_g_,s0),l) i(i(sums,i(i(o,lift),f)),i(lift,l)) -> i(i(realu_sums,f),l) i(i(i(lifted,op),i(SOME,x)),i(SOME,y)) -> i(SOME,i(i(op,x),y)) i(i(i(COND,b),i(f,x)),i(f,y)) -> i(f,i(i(i(COND,b),x),y)) i(i(i(i(i(frustum,v0),v0),h1),h2),a) -> EMPTY i(i(i(COND,b),i(f,x)),i(g,x)) -> i(i(i(i(COND,b),f),g),x) i(i(s_b_,i(P,x)),i(i(MEM,x),l)) -> i(i(MEM,x),i(i(FILTER,P),l)) i(UNIONS,i(i(IMAGE,i(i(slice,k),a)),s0)) -> i(i(i(slice,k),a),i(UNIONS,s0)) i(i(CONS,i(f,h)),i(i(MAP,f),t)) -> i(i(MAP,f),i(i(CONS,h),t)) i(i(realu_lt,i(i(realu_add,x),i(realu_neg,y))),z) -> i(i(realu_lt,x),i(i(realu_add,z),y)) i(i(intu_lt,i(i(intu_add,x),i(intu_neg,y))),z) -> i(i(intu_lt,x),i(i(intu_add,z),y)) i(angle,i(i(c_,v),i(i(c_,u),w))) -> i(i(i(arcV,u),v),w) i(i(d_,i(i(d_,i(transp,A)),i0)),j) -> i(i(d_,i(i(d_,A),j)),i0) i(i(intu_lt,y),i(i(intu_add,x),i(intu_neg,z))) -> i(i(intu_lt,i(i(intu_add,y),z)),x) i(i(realu_lt,y),i(i(realu_add,x),i(realu_neg,z))) -> i(i(realu_lt,i(i(realu_add,y),z)),x) i(i(i(homotopicu_paths,s0),i(reversepath,p)),i(reversepath,q)) -> i(i(i(homotopicu_paths,s0),p),q) i(i(realu_div,x),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))) -> x i(i(realu_mul,i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))),x) -> x i(i(d_,i(lift,x)),i(NUMERAL,i(BIT1,u_0))) -> x i(i(realu_mul,x),i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0)))) -> x i(Re,i(complex,i(i(c_,x),y))) -> x i(i(nsum,i(i(INSERT,x),EMPTY)),f) -> i(f,x) i(i(vectoru_sub,i(i(vectoru_add,x),y)),x) -> y i(i(vectoru_add,y),i(i(vectoru_sub,x),y)) -> x i(i(vectoru_add,i(i(vectoru_sub,x),y)),y) -> x i(g,i(vec,i(NUMERAL,i(BIT1,u_0)))) -> i(pathfinish,g) i(i(i(i(ITLIST2,f),NIL),l2),b) -> b i(i(hull,convex),i(i(INSERT,a),EMPTY)) -> i(i(INSERT,a),EMPTY) i(i(a_,i(LENGTH,l)),i(NUMERAL,u_0)) -> i(i(a_,l),NIL) i(i(a_,i(i(hull,conic),s0)),EMPTY) -> i(i(a_,s0),EMPTY) i(i(a_,i(i(hull,convex),s0)),EMPTY) -> i(i(a_,s0),EMPTY) i(i(a_,i(inside,s0)),i(outside,s0)) -> i(i(a_,s0),UNIV) i(i(a_,i(i(hull,affine),s0)),EMPTY) -> i(i(a_,s0),EMPTY) i(i(a_,i(dim,s0)),i(dimindex,UNIV)) -> i(i(a_,i(span,s0)),UNIV) i(i(hull,affine),i(i(INSERT,a),EMPTY)) -> i(i(INSERT,a),EMPTY) i(i(vsum,i(i(INSERT,x),EMPTY)),f) -> i(f,x) i(i(i(reduced,lab),i(NUMERAL,u_0)),x) -> i(NUMERAL,u_0) i(i(m_,m),i(i(p_,m),n)) -> i(NUMERAL,u_0) i(i(m_,n),i(i(p_,m),n)) -> i(NUMERAL,u_0) i(i(i(i(ITLIST2,f),NIL),NIL),b) -> b i(i(pastecart,i(vec,n)),i(vec,n)) -> i(vec,n) i(binom,i(i(c_,i(SUC,n)),n)) -> i(SUC,n) i(i(i(FCONS,a),f),i(NUMERAL,u_0)) -> a i(i(a_,i(oneu_REP,i(oneu_ABS,r))),r) -> r i(pathfinish,i(linepath,i(i(c_,a),b))) -> b i(i(vectoru_sub,x),i(i(vectoru_sub,x),y)) -> y i(pathstart,i(linepath,i(i(c_,a),b))) -> a i(i(continuous,i(i(o,lift),f)),net0) -> i(i(realu_continuous,f),net0) i(i(a_,i(BIT1,m)),i(BIT0,n)) -> F i(i(a_,i(BIT0,m)),i(BIT1,n)) -> F i(i(pairwise,r),i(i(INSERT,x),EMPTY)) -> T i(i(realu_div,i(sin,x)),i(cos,x)) -> i(tan,x) i(i(i(ITER,i(NUMERAL,u_0)),f),x) -> x i(i(intu_sub,i(intu_ofu_num,i(NUMERAL,u_0))),x) -> i(intu_neg,x) i(i(summable,s0),i(i(o,Cx),f)) -> i(i(realu_summable,s0),f) i(i(summable,s0),i(i(o,lift),f)) -> i(i(realu_summable,s0),f) i(i(realu_mul,x),i(i(realu_pow,x),n)) -> i(i(realu_pow,x),i(SUC,n)) i(i(p_,i(NUMERAL,n)),i(NUMERAL,n)) -> i(NUMERAL,i(BIT0,n)) i(i(t_,i(SUC,n)),i(FACT,n)) -> i(FACT,i(SUC,n)) i(i(intu_mul,x),i(i(intu_pow,x),n)) -> i(i(intu_pow,x),i(SUC,n)) i(i(complexu_mul,x),i(i(complexu_pow,x),n)) -> i(i(complexu_pow,x),i(SUC,n)) i(i(vectoru_sub,i(vec,i(NUMERAL,u_0))),x) -> i(vectoru_neg,x) i(i(a_,i(i(hull,affine),s0)),s0) -> i(affine,s0) i(i(hasu_measure,s0),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(negligible,s0) i(i(a_,i(relativeu_interior,s0)),i(closure,s0)) -> i(affine,s0) i(i(a_,i(openu_in,i(topology0,r))),r) -> i(istopology,r) i(i(matrixu_sub,i(mat,i(NUMERAL,u_0))),A) -> i(matrixu_neg,A) i(i(a_,i(i(hull,conic),s0)),s0) -> i(conic,s0) i(i(a_,i(i(hull,convex),s0)),s0) -> i(convex,s0) i(i(UNION,i(inside,s0)),i(outside,s0)) -> i(i(DIFF,UNIV),s0) i(i(hasu_realu_measure,s0),i(realu_ofu_num,i(NUMERAL,u_0))) -> i(realu_negligible,s0) i(i(a_,i(destu_cart,i(mku_cart,r))),r) -> T i(i(hull,affine),i(i(hull,convex),s0)) -> i(i(hull,affine),s0) i(i(a_,i(Cx,i(Re,z))),z) -> i(real0,z) i(rank,i(i(matrixu_mul,i(transp,A)),A)) -> i(rank,A) i(i(hrealu_add,i(hrealu_ofu_num,i(NUMERAL,u_0))),x) -> x i(i(a_,i(realu_ofu_int,x)),i(realu_ofu_int,y)) -> i(i(a_,x),y) i(i(complexu_mul,i(Cx,x)),i(Cx,y)) -> i(Cx,i(i(realu_mul,x),y)) i(i(realu_ge,i(realu_ofu_int,x)),i(realu_ofu_int,y)) -> i(i(intu_ge,x),y) i(i(realu_div,i(realu_abs,x)),i(realu_abs,y)) -> i(realu_abs,i(i(realu_div,x),y)) i(i(realu_gt,i(realu_ofu_int,x)),i(realu_ofu_int,y)) -> i(i(intu_gt,x),y) i(i(UNION,i(closure,s0)),i(closure,t)) -> i(closure,i(i(UNION,s0),t)) i(i(realu_le,i(realu_ofu_int,x)),i(realu_ofu_int,y)) -> i(i(intu_le,x),y) i(i(realu_lt,i(realu_ofu_int,x)),i(realu_ofu_int,y)) -> i(i(intu_lt,x),y) i(i(complexu_mul,i(complexu_inv,w)),i(complexu_inv,z)) -> i(complexu_inv,i(i(complexu_mul,w),z)) i(i(m_,i(BIT1,m)),i(BIT1,n)) -> i(BIT0,i(i(m_,m),n)) i(i(m_,i(BIT0,m)),i(BIT0,n)) -> i(BIT0,i(i(m_,m),n)) i(i(m_,i(NUMERAL,m)),i(NUMERAL,n)) -> i(NUMERAL,i(i(m_,m),n)) i(i(EXP,i(NUMERAL,m)),i(NUMERAL,n)) -> i(NUMERAL,i(i(EXP,m),n)) i(i(t_,i(NUMERAL,m)),i(NUMERAL,n)) -> i(NUMERAL,i(i(t_,m),n)) i(i(p_,i(BIT1,m)),i(BIT0,n)) -> i(BIT1,i(i(p_,m),n)) i(i(p_,i(BIT0,m)),i(BIT1,n)) -> i(BIT1,i(i(p_,m),n)) i(i(p_,i(BIT0,m)),i(BIT0,n)) -> i(BIT0,i(i(p_,m),n)) i(i(p_,i(NUMERAL,m)),i(NUMERAL,n)) -> i(NUMERAL,i(i(p_,m),n)) i(i(realu_mul,i(vectoru_norm,w)),i(vectoru_norm,z)) -> i(vectoru_norm,i(i(complexu_mul,w),z)) i(i(realu_add,i(realu_ofu_int,x)),i(realu_ofu_int,y)) -> i(realu_ofu_int,i(i(intu_add,x),y)) i(simpleu_path,i(linepath,i(i(c_,a),b))) -> i(w_,i(i(a_,a),b)) i(i(matrixu_add,i(transp,A)),i(transp,B)) -> i(transp,i(i(matrixu_add,A),B)) i(i(s_b_,i(ODD,m)),i(ODD,n)) -> i(ODD,i(i(t_,m),n)) i(i(DIFF,i(interior,s0)),i(closure,t)) -> i(interior,i(i(DIFF,s0),t)) i(i(realu_div,i(realu_ofu_num,x)),i(realu_ofu_num,y)) -> i(i(DECIMAL,x),y) i(i(realu_mul,i(realu_ofu_int,x)),i(realu_ofu_int,y)) -> i(realu_ofu_int,i(i(intu_mul,x),y)) i(i(realu_min,i(realu_ofu_int,x)),i(realu_ofu_int,y)) -> i(realu_ofu_int,i(i(intu_min,x),y)) i(i(vectoru_add,i(cnj,w)),i(cnj,z)) -> i(cnj,i(i(vectoru_add,w),z)) i(i(s_b_,i(COUNTABLE,s0)),i(COUNTABLE,t)) -> i(COUNTABLE,i(i(UNION,s0),t)) i(i(a_,i(i(connectedu_component,s0),x)),EMPTY) -> i(w_,i(i(IN,x),s0)) i(i(realu_mul,i(exp,x)),i(exp,y)) -> i(exp,i(i(realu_add,x),y)) i(i(hrealu_mul,i(hrealu_ofu_num,m)),i(hrealu_ofu_num,n)) -> i(hrealu_ofu_num,i(i(t_,m),n)) i(relativeu_interior,i(openu_segment,i(i(c_,a),b))) -> i(openu_segment,i(i(c_,a),b)) i(i(complexu_mul,i(cexp,w)),i(cexp,z)) -> i(cexp,i(i(vectoru_add,w),z)) i(arc,i(linepath,i(i(c_,a),b))) -> i(w_,i(i(a_,a),b)) i(i(complexu_div,i(cnj,w)),i(cnj,z)) -> i(cnj,i(i(complexu_div,w),z)) i(i(p_,m),i(i(t_,m),n)) -> i(i(t_,m),i(SUC,n)) i(i(IN,i(vectoru_neg,x)),i(span,s0)) -> i(i(IN,x),i(span,s0)) i(i(vectoru_sub,i(Cx,x)),i(Cx,y)) -> i(Cx,i(i(realu_sub,x),y)) i(i(realu_mul,i(realu_sgn,x)),i(realu_sgn,y)) -> i(realu_sgn,i(i(realu_mul,x),y)) i(i(realu_add,i(drop,x)),i(drop,y)) -> i(drop,i(i(vectoru_add,x),y)) i(interior,i(cball,i(i(c_,x),e))) -> i(ball,i(i(c_,x),e)) i(i(vectoru_add,i(lift,x)),i(lift,y)) -> i(lift,i(i(realu_add,x),y)) 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i(coplanar,s0) i(i(SUBSET,i(frontier,s0)),s0) -> i(closed,s0) i(collinear,i(i(hull,affine),s0)) -> i(collinear,s0) i(relativeu_interior,i(i(hull,affine),s0)) -> i(i(hull,affine),s0) i(realu_lebesgueu_measurable,i(i(DIFF,UNIV),s0)) -> i(realu_lebesgueu_measurable,s0) i(i(within,i(at,x)),UNIV) -> i(at,x) i(i(a_,i(span,s0)),s0) -> i(subspace,s0) i(i(hull,affine),i(closure,s0)) -> i(i(hull,affine),s0) i(i(a_,i(cnj,z)),z) -> i(real0,z) i(i(vectoru_matrixu_mul,x),i(transp,A)) -> i(i(matrixu_vectoru_mul,A),x) i(i(realu_add,x),i(realu_neg,y)) -> i(i(realu_sub,x),y) i(i(destu_cart,x),i(finiteu_index,i0)) -> i(i(d_,x),i0) i(w_,i(i(intu_le,y),x)) -> i(i(intu_lt,x),y) i(i(complexu_mul,w),i(complexu_inv,z)) -> i(i(complexu_div,w),z) i(openu_interval,i(i(c_,a),b)) -> i(i(rect,a),b) i(i(realu_mul,x),i(realu_inv,y)) -> i(i(realu_div,x),y) i(i(matrixu_add,A),i(matrixu_neg,B)) -> i(i(matrixu_sub,A),B) i(pathfinish,i(i(o,f),p)) -> i(f,i(pathfinish,p)) i(i(intu_add,x),i(intu_neg,y)) -> i(i(intu_sub,x),y) i(LENGTH,i(i(CONS,h),t)) -> i(SUC,i(LENGTH,t)) i(vectoru_neg,i(i(cross,y),x)) -> i(i(cross,x),y) i(ball,i(i(c_,z),r)) -> i(i(normball,z),r) i(matrix,i(i(frechetu_derivative,f),net0)) -> i(i(jacobian,f),net0) i(pathstart,i(i(o,f),p)) -> i(f,i(pathstart,p)) i(w_,i(i(realu_le,y),x)) -> i(i(realu_lt,x),y) i(ABSu_prod,i(i(mku_pair,x),y)) -> i(i(c_,x),y) i(i(intu_sub,x),i(intu_neg,y)) -> i(i(intu_add,x),y) i(realu_inv,i(i(realu_div,x),y)) -> i(i(realu_div,y),x) i(i(realu_sub,x),i(realu_neg,y)) -> i(i(realu_add,x),y) i(i(i(netord,atu_neginfinity),x),y) -> i(i(realu_le,x),y) i(intu_neg,i(i(intu_sub,x),y)) -> i(i(intu_sub,y),x) i(i(rpow,x),i(realu_ofu_num,n)) -> i(i(realu_pow,x),n) i(w_,i(i(l_a_,m),n)) -> i(i(l_,n),m) i(w_,i(i(l_,m),n)) -> i(i(l_a_,n),m) i(i(d_,i(vec,k)),i0) -> i(realu_ofu_num,k) i(w_,i(i(realu_lt,x),y)) -> i(i(realu_le,y),x) i(i(l_,m),i(SUC,n)) -> i(i(l_a_,m),n) i(w_,i(i(intu_lt,x),y)) -> i(i(intu_le,y),x) i(realu_neg,i(i(realu_sub,x),y)) -> i(i(realu_sub,y),x) i(i(i(netord,atu_posinfinity),x),y) -> i(i(realu_ge,x),y) i(i(l_a_,i(SUC,m)),n) -> i(i(l_,m),n) i(trealu_neg,i(i(c_,x),y)) -> i(i(c_,y),x) i(i(i(netord,sequentially),m),n) -> i(i(g_a_,m),n) i(i(IN,m),i(from,n)) -> i(i(l_a_,n),m) i(mat,i(NUMERAL,i(BIT1,u_0))) -> i(matrix,I) i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))) -> i(neutral,realu_mul) i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))) -> i(vectoru_norm,ii) i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))) -> i(sign,I) i(NUMERAL,i(BIT0,i(BIT1,u_0))) -> i(dimindex,UNIV) i(NUMERAL,i(BIT1,i(BIT1,u_0))) -> i(dimindex,UNIV) i(realu_ofu_num,i(NUMERAL,i(BIT1,u_0))) -> i(Im,ii) i(Cx,i(realu_ofu_num,i(NUMERAL,u_0))) -> i(vec,i(NUMERAL,u_0)) i(w_,i(i(l_a_u_c,s0),t)) -> i(i(l_u_c,t),s0) i(w_,i(i(l_u_c,s0),t)) -> i(i(l_a_u_c,t),s0) i(matrixu_neg,i(i(matrixu_sub,A),B)) -> i(i(matrixu_sub,B),A) i(vectoru_neg,i(i(vectoru_sub,x),y)) -> i(i(vectoru_sub,y),x) i(pathfinish,i(i(p_p_,g1),g2)) -> i(pathfinish,g2) i(negligible,i(i(INSERT,a),s0)) -> i(negligible,s0) i(i(orthogonal,i(vectoru_neg,x)),y) -> i(i(orthogonal,x),y) i(i(vectoru_sub,x),i(vectoru_neg,y)) -> i(i(vectoru_add,x),y) i(i(IN,x),i(setu_ofu_list,l)) -> i(i(MEM,x),l) i(i(orthogonal,x),i(vectoru_neg,y)) -> i(i(orthogonal,x),y) i(realu_negligible,i(i(INSERT,a),s0)) -> i(realu_negligible,s0) i(i(matrixu_vectoru_mul,i(transp,A)),x) -> i(i(vectoru_matrixu_mul,x),A) i(pathstart,i(i(p_p_,g1),g2)) -> i(pathstart,g1) i(vectoru_norm,i(i(rotate2d,t),z)) -> i(vectoru_norm,z) i(measure,i(i(rect,a),b)) -> i(i(volu_rect,a),b) i(COUNTABLE,i(i(DELETE,s0),x)) -> i(COUNTABLE,s0) i(COUNTABLE,i(i(INSERT,x),s0)) -> i(COUNTABLE,s0) i(complexu_inv,i(i(complexu_div,w),z)) -> i(i(complexu_div,z),w) i(LENGTH,i(i(MAP,f),l)) -> i(LENGTH,l) i(i(i(pathu_component,s0),x),x) -> i(i(IN,x),s0) i(bounded,i(i(INSERT,x),s0)) -> i(bounded,s0) i(i(complexu_mul,i(Cx,c)),x) -> i(i(r_,c),x) i(i(i(connectedu_component,s0),x),x) -> i(i(IN,x),s0) i(FINITE,i(i(DELETE,s0),x)) -> i(FINITE,s0) i(FINITE,i(i(INSERT,x),s0)) -> i(FINITE,s0) i(i(t_,m),i(NUMERAL,u_0)) -> i(NUMERAL,u_0) i(i(t_,i(NUMERAL,u_0)),n) -> i(NUMERAL,u_0) i(i(g_,i(BIT0,n)),u_0) -> i(i(g_,n),u_0) i(i(l_a_,i(BIT0,n)),u_0) -> i(i(l_a_,n),u_0) i(i(a_,i(BIT0,n)),u_0) -> i(i(a_,n),u_0) i(i(EXP,i(BIT1,m)),u_0) -> i(BIT1,u_0) i(i(EXP,i(BIT0,m)),u_0) -> i(BIT1,u_0) i(i(i(ALL2,P),NIL),NIL) -> T i(setdist,i(i(c_,s0),EMPTY)) -> i(realu_ofu_num,i(NUMERAL,u_0)) i(setdist,i(i(c_,EMPTY),t)) -> i(realu_ofu_num,i(NUMERAL,u_0)) i(Arg,i(Cx,i(realu_ofu_num,n))) -> i(realu_ofu_num,i(NUMERAL,u_0)) i(i(EXP,m),i(NUMERAL,u_0)) -> i(NUMERAL,i(BIT1,u_0)) i(affu_dim,i(i(INSERT,a),EMPTY)) -> i(intu_ofu_num,i(NUMERAL,u_0)) i(i(l_,u_0),i(BIT1,n)) -> T i(i(l_a_,u_0),i(BIT1,n)) -> T i(i(l_a_,u_0),i(BIT0,n)) -> T i(i(l_,i(BIT1,n)),u_0) -> F i(i(l_,i(BIT0,n)),u_0) -> F i(i(l_a_,i(BIT1,n)),u_0) -> F i(i(a_,u_0),i(BIT1,n)) -> F i(i(a_,i(BIT1,n)),u_0) -> F i(i(l_,m),i(NUMERAL,u_0)) -> F i(i(i(MAP2,f),NIL),l) -> NIL i(topspace,i(i(subtopology,euclidean),s0)) -> s0 i(topspace,i(i(subtopology,euclideanreal),s0)) -> s0 i(midpoint,i(i(c_,x),x)) -> x i(LENGTH,i(i(REPLICATE,n),x)) -> n i(i(p_,i(NUMERAL,u_0)),n) -> n i(i(m_,m),i(NUMERAL,u_0)) -> m i(i(p_,m),i(NUMERAL,u_0)) -> m i(intu_sgn,i(intu_ofu_num,i(NUMERAL,u_0))) -> i(intu_ofu_num,i(NUMERAL,u_0)) i(realu_inv,i(realu_ofu_num,i(NUMERAL,u_0))) -> i(realu_ofu_num,i(NUMERAL,u_0)) i(trace,i(mat,i(NUMERAL,u_0))) -> i(realu_ofu_num,i(NUMERAL,u_0)) i(tan,i(realu_ofu_num,i(NUMERAL,u_0))) -> i(realu_ofu_num,i(NUMERAL,u_0)) i(intu_abs,i(intu_ofu_num,i(NUMERAL,u_0))) -> i(intu_ofu_num,i(NUMERAL,u_0)) i(intu_neg,i(intu_ofu_num,i(NUMERAL,u_0))) -> i(intu_ofu_num,i(NUMERAL,u_0)) i(vectoru_norm,i(vec,i(NUMERAL,u_0))) -> i(realu_ofu_num,i(NUMERAL,u_0)) i(infnorm,i(vec,i(NUMERAL,u_0))) -> i(realu_ofu_num,i(NUMERAL,u_0)) i(realu_sgn,i(realu_ofu_num,i(NUMERAL,u_0))) -> i(realu_ofu_num,i(NUMERAL,u_0)) i(vectoru_neg,i(vec,i(NUMERAL,u_0))) -> i(vec,i(NUMERAL,u_0)) i(realu_abs,i(realu_ofu_num,i(NUMERAL,u_0))) -> i(realu_ofu_num,i(NUMERAL,u_0)) i(sqrt,i(realu_ofu_num,i(NUMERAL,u_0))) -> i(realu_ofu_num,i(NUMERAL,u_0)) i(realu_neg,i(realu_ofu_num,i(NUMERAL,u_0))) -> i(realu_ofu_num,i(NUMERAL,u_0)) i(matrixu_neg,i(mat,i(NUMERAL,u_0))) -> i(mat,i(NUMERAL,u_0)) i(atn,i(realu_ofu_num,i(NUMERAL,u_0))) -> i(realu_ofu_num,i(NUMERAL,u_0)) i(sin,i(realu_ofu_num,i(NUMERAL,u_0))) -> i(realu_ofu_num,i(NUMERAL,u_0)) i(det,i(mat,i(NUMERAL,u_0))) -> i(realu_ofu_num,i(NUMERAL,u_0)) i(hrealu_inv,i(hrealu_ofu_num,i(NUMERAL,u_0))) -> i(hrealu_ofu_num,i(NUMERAL,u_0)) i(asn,i(realu_ofu_num,i(NUMERAL,u_0))) -> i(realu_ofu_num,i(NUMERAL,u_0)) i(rank,i(mat,i(NUMERAL,u_0))) -> i(NUMERAL,u_0) i(openu_interval,i(i(c_,a),a)) -> EMPTY i(i(i(ALL2,P),NIL),l2) -> i(i(a_,l2),NIL) i(i(REPLICATE,i(NUMERAL,u_0)),x) -> NIL i(i(i(slice,k),a),EMPTY) -> EMPTY i(i(m_,u_0),i(BIT1,n)) -> u_0 i(i(m_,u_0),i(BIT0,n)) -> u_0 i(i(EXP,u_0),i(BIT1,n)) -> u_0 i(i(t_,i(BIT1,n)),u_0) -> u_0 i(i(t_,i(BIT0,n)),u_0) -> u_0 i(i(t_,u_0),i(BIT1,n)) -> 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i(sqrt,i(i(dot,x),x)) -> i(vectoru_norm,x) i(realu_closed,i(i(DIFF,UNIV),s0)) -> i(realu_open,s0) i(closed,i(i(DIFF,UNIV),s0)) -> i(open,s0) i(negligible,i(i(IMAGE,lift),s0)) -> i(realu_negligible,s0) i(i(DELETE,s0),i(CHOICE,s0)) -> i(REST,s0) i(i(hasu_measure,s0),i(measure,s0)) -> i(measurable,s0) i(closed,i(i(IMAGE,lift),s0)) -> i(realu_closed,s0) i(convex,i(i(IMAGE,lift),s0)) -> i(isu_realinterval,s0) i(i(INTER,i(inside,s0)),s0) -> EMPTY i(i(i(support,op),f),EMPTY) -> EMPTY i(i(INTER,i(outside,s0)),s0) -> EMPTY i(openu_segment,i(i(c_,a),a)) -> EMPTY i(i(ITER,i(NUMERAL,u_0)),f) -> I i(swap,i(i(c_,a),a)) -> I i(g,i(vec,i(NUMERAL,u_0))) -> i(pathstart,g) i(TL,i(i(CONS,h),t)) -> t i(i(i(o,f),g),x) -> i(f,i(g,x)) i(i(i(affsign,sgn),s0),EMPTY) -> i(i(hull,affine),s0) i(i(i(a_a_,x),y),rel) -> i(i(rel,x),y) i(i(i(INV,R),x),y) -> i(i(R,y),x) i(netlimit,i(atreal,a)) -> a i(i(realu_min,x),x) -> x i(i(realu_max,x),x) -> x i(vectoru_neg,i(vectoru_neg,x)) -> x i(OUTR,i(INR,y)) -> y i(i(l_u_c,s0),UNIV) -> i(FINITE,s0) i(i(l_a_u_c,s0),UNIV) -> i(COUNTABLE,s0) i(i(UNION,p),p) -> p i(i(INTER,p),p) -> p i(i(subtopology,top),UNIV) -> top i(w_,i(w_,t)) -> t i(w_,i(EVEN,n)) -> i(ODD,n) i(drop,i(vec,n)) -> i(realu_ofu_num,n) i(transp,i(mat,n)) -> i(mat,n) i(ODD,i(NUMERAL,n)) -> i(ODD,n) i(EVEN,i(NUMERAL,n)) -> i(EVEN,n) i(PRE,i(BIT1,n)) -> i(BIT0,n) i(SUC,i(BIT0,n)) -> i(BIT1,n) i(i(p_,n),n) -> i(BIT0,n) i(realu_abs,i(realu_ofu_num,n)) -> i(realu_ofu_num,n) i(floor,i(realu_ofu_num,n)) -> i(realu_ofu_num,n) i(intu_abs,i(intu_ofu_num,n)) -> i(intu_ofu_num,n) i(sndcart,i(vec,n)) -> i(vec,n) i(fstcart,i(vec,n)) -> i(vec,n) i(lift,i(realu_ofu_num,n)) -> i(vec,n) i(w_,i(ODD,n)) -> i(EVEN,n) i(realu_ofu_int,i(intu_ofu_num,n)) -> i(realu_ofu_num,n) i(ODD,i(NUMERAL,u_0)) -> F i(i(l_,u_0),u_0) -> F i(i(EX,P),NIL) -> F i(i(MEM,x),NIL) -> F i(mku_nadd,i(destu_nadd,a)) -> a i(intu_abs,i(intu_abs,x)) -> i(intu_abs,x) i(intu_abs,i(intu_neg,x)) -> i(intu_abs,x) i(i(intu_max,x),x) -> x i(i(intu_min,x),x) -> x i(intu_ofu_real,i(realu_ofu_num,n)) -> i(intu_ofu_num,n) i(realu_abs,i(vectoru_norm,x)) -> i(vectoru_norm,x) i(transp,i(columnvector,v)) -> i(rowvector,v) i(i(affu_gt,EMPTY),s0) -> i(conv0,s0) i(RSTC,i(RSTC,R)) -> i(RSTC,R) i(i(exposedu_faceu_of,s0),s0) -> i(convex,s0) i(i(hull,subspace),s0) -> i(span,s0) i(dim,i(closure,s0)) -> i(dim,s0) i(i(hull,closed),s0) -> i(closure,s0) i(vectoru_norm,i(pad2d3d,x)) -> i(vectoru_norm,x) i(realu_abs,i(infnorm,x)) -> i(infnorm,x) i(i(faceu_of,s0),s0) -> i(convex,s0) i(dim,i(span,s0)) -> i(dim,s0) i(TC,i(TC,R)) -> i(TC,R) i(infnorm,i(vectoru_neg,x)) -> i(infnorm,x) i(STC,i(STC,R)) -> i(STC,R) i(i(closedu_in,euclidean),s0) -> i(closed,s0) i(i(l_a_u_c,UNIV),s0) -> i(INFINITE,s0) i(SC,i(SC,R)) -> i(SC,R) i(RTC,i(RTC,R)) -> i(RTC,R) i(columns,i(transp,A)) -> i(rows,A) i(rows,i(transp,A)) -> i(columns,A) i(i(rotate2d,pi),z) -> i(vectoru_neg,z) i(closure,i(closure,s0)) -> i(closure,s0) i(vectoru_norm,i(cnj,z)) -> i(vectoru_norm,z) i(rank,i(transp,A)) -> i(rank,A) i(RC,i(RC,R)) -> i(RC,R) i(det,i(transp,A)) -> i(det,A) i(ccos,i(vectoru_neg,z)) -> i(ccos,z) i(i(openu_in,euclideanreal),s0) -> i(realu_open,s0) i(RSC,i(RSC,R)) -> i(RSC,R) i(i(closedu_in,euclideanreal),s0) -> i(realu_closed,s0) i(real0,i(complexu_inv,z)) -> i(real0,z) i(bounded,i(closure,s0)) -> i(bounded,s0) i(compact,i(closure,s0)) -> i(bounded,s0) i(path,i(reversepath,g)) -> i(path,g) i(Re,i(cnj,z)) -> i(Re,z) i(vectoru_norm,i(vectoru_neg,x)) -> i(vectoru_norm,x) i(orthogonalu_matrix,i(transp,A)) -> i(orthogonalu_matrix,A) i(span,i(span,s0)) -> i(span,s0) i(interior,i(interior,s0)) -> i(interior,s0) i(i(g_a_u_c,UNIV),t) -> i(COUNTABLE,t) i(i(openu_in,euclidean),s0) -> i(open,s0) i(transp,i(rowvector,v)) -> i(columnvector,v) i(pathu_image,i(reversepath,g)) -> i(pathu_image,g) i(OUTL,i(INL,x)) -> x i(i(FILTER,P),NIL) -> NIL i(i(m_,u_0),u_0) -> u_0 i(i(t_,u_0),u_0) -> u_0 i(i(p_,u_0),u_0) -> u_0 i(i(IN,x),P) -> i(P,x) i(i(LET,f),x) -> i(f,x) i(i(s_b_,p),p) -> p i(i(b_s_,p),p) -> p i(i(nsum,EMPTY),f) -> i(NUMERAL,u_0) i(intu_ofu_num,i(dimindex,UNIV)) -> i(affu_dim,UNIV) i(EVEN,i(NUMERAL,u_0)) -> T i(i(l_a_,u_0),u_0) -> T i(i(a_,u_0),u_0) -> T i(i(PAIRWISE,r),NIL) -> T i(i(ALL,P),NIL) -> T i(ODD,i(BIT1,n)) -> T i(EVEN,i(BIT0,n)) -> T i(i(pairwise,r),EMPTY) -> T i(i(a_,x),x) -> T i(ODD,i(BIT0,n)) -> F i(EVEN,i(BIT1,n)) -> F i(oneu_ABS,i(oneu_REP,a)) -> a i(intu_ofu_real,i(realu_ofu_int,a)) -> a i(pathfinish,i(reversepath,g)) -> i(pathstart,g) i(SC,i(INV,R)) -> i(SC,R) i(pathstart,i(reversepath,g)) -> i(pathfinish,g) i(i(APPEND,NIL),l) -> l i(finiteu_index,i(destu_finiteu_image,a)) -> a i(topology0,i(openu_in,a)) -> a i(REVERSE,i(REVERSE,l)) -> l i(i(APPEND,l),NIL) -> l i(mku_net,i(netord,a)) -> a i(cnj,i(cnj,z)) -> z i(i(UNION,s0),EMPTY) -> s0 i(i(UNION,EMPTY),s0) -> s0 i(ccos,i(cacs,z)) -> z i(lift,i(drop,x)) -> x i(reversepath,i(reversepath,g)) -> g i(intu_neg,i(intu_neg,x)) -> x i(i(IMAGE,I),s0) -> s0 i(i(INTER,s0),UNIV) -> s0 i(i(INTER,UNIV),s0) -> s0 i(csin,i(casn,z)) -> z i(complexu_inv,i(complexu_inv,x)) -> x i(i(DIFF,s0),EMPTY) -> s0 i(transp,i(transp,A)) -> A i(mku_finiteu_sum,i(destu_finiteu_sum,a)) -> a i(netlimit,i(at,a)) -> a i(mku_cart,i(destu_cart,a)) -> a i(ABSu_prod,i(REPu_prod,a)) -> a i(PRE,i(SUC,n)) -> n i(numu_ofu_int,i(intu_ofu_num,n)) -> n i(i(ZIP,NIL),NIL) -> NIL i(i(ZIP,NIL),l2) -> NIL i(realu_ofu_num,i(NUMERAL,u_0)) -> i(diameter,EMPTY) i(realu_ofu_num,i(NUMERAL,u_0)) -> i(tan,pi) i(vec,i(NUMERAL,u_0)) -> i(neutral,vectoru_add) i(realu_ofu_num,i(NUMERAL,u_0)) -> i(realu_measure,EMPTY) i(realu_ofu_num,i(NUMERAL,u_0)) -> i(Re,ii) i(realu_ofu_num,i(NUMERAL,u_0)) -> i(measure,EMPTY) i(realu_ofu_num,i(NUMERAL,u_0)) -> i(content,EMPTY) i(NUMERAL,i(BIT1,u_0)) -> i(dimindex,UNIV) i(realu_ofu_num,i(NUMERAL,u_0)) -> i(neutral,realu_add) i(realu_ofu_num,i(NUMERAL,u_0)) -> i(sin,pi) i(NUMERAL,i(BIT1,u_0)) -> i(neutral,t_) i(i(IMAGE,f),EMPTY) -> EMPTY i(i(EXP,u_0),u_0) -> i(BIT1,u_0) i(NUMERAL,i(NUMERAL,u_0)) -> i(NUMERAL,u_0) i(PRE,i(NUMERAL,u_0)) -> i(NUMERAL,u_0) i(i(IMAGE,lift),UNIV) -> UNIV i(i(IMAGE,drop),UNIV) -> UNIV i(i(hull,affine),UNIV) -> UNIV i(from,i(NUMERAL,u_0)) -> UNIV i(i(hull,convex),EMPTY) -> EMPTY i(i(hull,convex),UNIV) -> UNIV i(BIT0,i(NUMERAL,u_0)) -> i(NUMERAL,u_0) i(i(hull,affine),EMPTY) -> EMPTY i(i(hull,conic),EMPTY) -> EMPTY i(realu_abs,i(exp,x)) -> i(exp,x) i(realu_sgn,i(realu_inv,x)) -> i(realu_sgn,x) i(integer,i(realu_neg,x)) -> i(integer,x) i(rational,i(realu_neg,x)) -> i(rational,x) i(vectoru_norm,i(Cx,x)) -> i(realu_abs,x) i(realu_abs,i(realu_neg,x)) -> i(realu_abs,x) i(cos,i(realu_neg,x)) -> i(cos,x) i(integer,i(realu_abs,x)) -> i(integer,x) i(rational,i(realu_inv,x)) -> i(rational,x) i(vectoru_norm,i(lift,x)) -> i(realu_abs,x) i(realu_abs,i(realu_abs,x)) -> i(realu_abs,x) i(cnj,i(Cx,x)) -> i(Cx,x) i(cos,i(realu_abs,x)) -> i(cos,x) i(w_,i(dependent,s0)) -> i(independent,s0) i(RC,i(SC,R)) -> i(RSC,R) i(RC,i(TC,R)) -> i(RTC,R) i(TC,i(SC,R)) -> i(STC,R) i(w_,i(FINITE,s0)) -> i(INFINITE,s0) i(dim,i(rows,A)) -> i(rank,A) i(dim,i(columns,A)) -> i(rank,A) i(realu_abs,i(drop,x)) -> i(vectoru_norm,x) i(UNIONS,i(components,u)) -> u i(i(MAP,f),NIL) -> NIL i(i(INTER,s0),EMPTY) -> EMPTY i(i(INTER,EMPTY),s0) -> EMPTY i(i(pathu_component,EMPTY),x) -> EMPTY i(i(connectedu_component,EMPTY),x) -> EMPTY i(i(DIFF,EMPTY),s0) -> EMPTY i(i(pathu_component,UNIV),x) -> UNIV i(i(UNION,s0),UNIV) -> UNIV i(i(UNION,UNIV),s0) -> UNIV i(i(DIFF,s0),s0) -> EMPTY i(i(DIFF,s0),UNIV) -> EMPTY i(i(DELETE,EMPTY),x) -> EMPTY i(i(INSERT,x),UNIV) -> UNIV i(i(connectedu_component,UNIV),x) -> UNIV i(tan,i(atn,y)) -> y i(realu_inv,i(realu_inv,x)) -> x i(realu_neg,i(realu_neg,x)) -> x i(Re,i(Cx,x)) -> x i(drop,i(lift,x)) -> x i(log,i(exp,x)) -> x i(iterate,realu_mul) -> product i(iterate,realu_add) -> sum i(rconesgn,a_) -> rconeu_eq i(rconesgn,realu_ge) -> rconeu_ge i(rconesgn,realu_gt) -> rconeu_gt i(iterate,p_) -> nsum i(u_mku_rec,ZBOT) -> BOTTOM i(iterate,complexu_mul) -> cproduct i(REVERSE,NIL) -> NIL i(ODD,u_0) -> F i(w_,T) -> F i(realu_abs,pi) -> pi i(BUTLAST,NIL) -> NIL i(PRE,u_0) -> u_0 i(BIT0,u_0) -> u_0 i(MAP,I) -> I i(inverse,I) -> I i(EVEN,u_0) -> T i(neutral,s_b_) -> T i(evenperm,I) -> T i(w_,F) -> T i(NULL,NIL) -> T i(mku_num,INDu_0) -> u_0 i(GSPEC,p) -> p i(NUMERAL,n) -> n i(I,x) -> x i(UNIONS,EMPTY) -> EMPTY i(closure,EMPTY) -> EMPTY i(span,UNIV) -> UNIV i(setu_ofu_list,NIL) -> EMPTY i(interior,EMPTY) -> EMPTY i(topspace,euclideanreal) -> UNIV i(INTERS,EMPTY) -> UNIV i(topspace,euclidean) -> UNIV i(frontier,EMPTY) -> EMPTY i(closure,UNIV) -> UNIV i(relativeu_interior,EMPTY) -> EMPTY i(inside,EMPTY) -> EMPTY i(frontier,UNIV) -> EMPTY i(outside,EMPTY) -> UNIV i(interior,UNIV) -> UNIV i(affsign,sgnu_lt) -> affu_lt i(affsign,sgnu_gt) -> affu_gt i(topology0,open) -> euclidean i(affsign,sgnu_le) -> affu_le i(topology0,realu_open) -> euclideanreal i(affsign,sgnu_ge) -> affu_ge i(LETu_END,t) -> t )