theorem Th53: :: CIRCTRM1:53

for G1, G2 being non empty non void Circuit-like ManySortedSign
for f, g being Function
for C1 being non-empty Circuit of G1
for C2 being non-empty Circuit of G2 st C1,C2 are_similar_wrt f,g holds
f preserves_inputs_of G1,G2 by Th52;