Metamath Proof Explorer


Theorem cdeqcv

Description: Conditional equality for set-to-class promotion. (Contributed by Mario Carneiro, 11-Aug-2016)

Ref Expression
Assertion cdeqcv CondEq ( 𝑥 = 𝑦𝑥 = 𝑦 )

Proof

Step Hyp Ref Expression
1 id ( 𝑥 = 𝑦𝑥 = 𝑦 )
2 1 cdeqi CondEq ( 𝑥 = 𝑦𝑥 = 𝑦 )