Theorem syl6eqr

Description: An equality transitivity deduction. (Contributed by NM, 21-Jun-1993)

	Ref	Expression
Hypotheses	syl6eqr.1	|- ( ph -> A = B )
	syl6eqr.2	|- C = B
Assertion	syl6eqr	|- ( ph -> A = C )

Proof

Step	Hyp	Ref	Expression
1		syl6eqr.1	|- ( ph -> A = B )
2		syl6eqr.2	|- C = B
3	2	eqcomi	|- B = C
4	1 3	syl6eq	|- ( ph -> A = C )