Theorem eqbrtr

Description: Substitution of equal classes in binary relation. (Contributed by Peter Mazsa, 14-Jun-2024)

	Ref	Expression
Assertion	eqbrtr	$$⊢\left(A=B\wedge BRC\right)\to ARC$$

Proof

Step	Hyp	Ref	Expression
1		breq1	$$⊢A=B\to \left(ARC\leftrightarrow BRC\right)$$
2	1	biimpar	$$⊢\left(A=B\wedge BRC\right)\to ARC$$