Theorem cdeqth

Description: Deduce conditional equality from a theorem. (Contributed by Mario Carneiro, 11-Aug-2016)

	Ref	Expression
Hypothesis	cdeqth.1	⊢ 𝜑
Assertion	cdeqth	⊢ CondEq ( 𝑥 = 𝑦 → 𝜑 )

Proof

Step	Hyp	Ref	Expression
1		cdeqth.1	⊢ 𝜑
2	1	a1i	⊢ ( 𝑥 = 𝑦 → 𝜑 )
3	2	cdeqi	⊢ CondEq ( 𝑥 = 𝑦 → 𝜑 )