00050 VAR: x,y,z,u,v,X,Y,Z,U,V;INF_OP:⊗; 00075 INF_PRED: =; EQUALITY: =; 00087 PRE_OP: 1; 00100 G1: x⊗x = y⊗y; 00200 G2: x⊗(y⊗y) = x; 00300 df: x⊗x=1; 00600 G3:(x⊗z)⊗(y⊗z) = x⊗y; 00650 THEOREM: x⊗(1⊗y) = z ≡ z⊗y =x; 00700 ;