Theorem cdeqcv 3429

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

Assertion

Ref	Expression
cdeqcv	|- CondEq ( x = y -> x = y )

Proof of Theorem cdeqcv

Step	Hyp	Ref	Expression
1		id 22	. 2 |- ( x = y -> x = y )
2	1	cdeqi 3420	1 |- CondEq ( x = y -> x = y )

Syntax hints:  CondEqwcdeq 3418

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 197  df-cdeq 3419

This theorem is referenced by: (None)