Theorem cdeqri

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

	Ref	Expression
Hypothesis	cdeqri.1	$$⊢CondEq\left(x=y\to \phi \right)$$
Assertion	cdeqri	$$⊢x=y\to \phi$$

Proof

Step	Hyp	Ref	Expression
1		cdeqri.1	$$⊢CondEq\left(x=y\to \phi \right)$$
2		df-cdeq	$$⊢CondEq\left(x=y\to \phi \right)\leftrightarrow \left(x=y\to \phi \right)$$
3	1 2	mpbi	$$⊢x=y\to \phi$$