Theorem syl5reqr

Description: An equality transitivity deduction. (Contributed by NM, 29-Mar-1998)

	Ref	Expression
Hypotheses	syl5reqr.1	$$⊢B=A$$
	syl5reqr.2	$$⊢\phi \to B=C$$
Assertion	syl5reqr	$$⊢\phi \to C=A$$

Proof

Step	Hyp	Ref	Expression
1		syl5reqr.1	$$⊢B=A$$
2		syl5reqr.2	$$⊢\phi \to B=C$$
3	1	eqcomi	$$⊢A=B$$
4	3 2	syl5req	$$⊢\phi \to C=A$$