let F1, F2 be non empty Graph-yielding Function; ( F1,F2 are_Disomorphic implies canGFDistinction F1, canGFDistinction F2 are_Disomorphic )
assume A1:
F1,F2 are_Disomorphic
; canGFDistinction F1, canGFDistinction F2 are_Disomorphic
canGFDistinction F1,F1 are_Disomorphic
by Th87;
then A2:
canGFDistinction F1,F2 are_Disomorphic
by A1, Th40;
F2, canGFDistinction F2 are_Disomorphic
by Th87;
hence
canGFDistinction F1, canGFDistinction F2 are_Disomorphic
by A2, Th40; verum