Theorem eqbrtrri

Description: Substitution of equal classes into a binary relation. (Contributed by NM, 1-Aug-1999)

	Ref	Expression
Hypotheses	eqbrtrr.1	$$⊢A=B$$
	eqbrtrr.2	$$⊢ARC$$
Assertion	eqbrtrri	$$⊢BRC$$

Proof

Step	Hyp	Ref	Expression
1		eqbrtrr.1	$$⊢A=B$$
2		eqbrtrr.2	$$⊢ARC$$
3	1	eqcomi	$$⊢B=A$$
4	3 2	eqbrtri	$$⊢BRC$$