Theorem cdeqcv 2945

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 19	. 2 |- ( x = y -> x = y )
2	1	cdeqi 2936	1 |- CondEq ( x = y -> x = y )

Syntax hints:  CondEqwcdeq 2934

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107

This theorem depends on definitions:  df-bi 116  df-cdeq 2935

This theorem is referenced by: (None)