Theorem breq1i

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

	Ref	Expression
Hypothesis	breq1i.1	$$⊢A=B$$
Assertion	breq1i	$$⊢ARC\leftrightarrow BRC$$

Proof

Step	Hyp	Ref	Expression
1		breq1i.1	$$⊢A=B$$
2		breq1	$$⊢A=B\to \left(ARC\leftrightarrow BRC\right)$$
3	1 2	ax-mp	$$⊢ARC\leftrightarrow BRC$$