Metamath Proof Explorer


Theorem breq2i

Description: Equality inference for a binary relation. (Contributed by NM, 8-Feb-1996)

Ref Expression
Hypothesis breq1i.1 A = B
Assertion breq2i C R A C R B

Proof

Step Hyp Ref Expression
1 breq1i.1 A = B
2 breq2 A = B C R A C R B
3 1 2 ax-mp C R A C R B