Theorem cdeqcv 3045

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 3036	1 |- CondEq ( x = y -> x = y )

This proof depends on syntax axioms:  CondEqwcdeq 3034

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108

This proof depends on definitions:  df-bi 117  df-cdeq 3035

This theorem is used by: (None)