Theorem cdeqri

Description: Property of conditional equality. (Contributed by Mario Carneiro, 11-Aug-2016)

	Ref	Expression
Hypothesis	cdeqri.1	|- CondEq ( x = y -> ph )
Assertion	cdeqri	|- ( x = y -> ph )

Proof

Step	Hyp	Ref	Expression
1		cdeqri.1	|- CondEq ( x = y -> ph )
2		df-cdeq	|- ( CondEq ( x = y -> ph ) <-> ( x = y -> ph ) )
3	1 2	mpbi	|- ( x = y -> ph )