Metamath Proof Explorer


Theorem xrneq2i

Description: Equality theorem for the range Cartesian product, inference form. (Contributed by Peter Mazsa, 16-Dec-2020)

Ref Expression
Hypothesis xrneq2i.1 A = B
Assertion xrneq2i C A = C B

Proof

Step Hyp Ref Expression
1 xrneq2i.1 A = B
2 xrneq2 A = B C A = C B
3 1 2 ax-mp C A = C B