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Theorem cdeqcv 2823
Description: Conditional equality for set-to-class promotion. (Contributed by Mario Carneiro, 11-Aug-2016.)
Assertion
Ref Expression
cdeqcv CondEq(𝑥 = 𝑦𝑥 = 𝑦)

Proof of Theorem cdeqcv
StepHypRef Expression
1 id 19 . 2 (𝑥 = 𝑦𝑥 = 𝑦)
21cdeqi 2814 1 CondEq(𝑥 = 𝑦𝑥 = 𝑦)
Colors of variables: wff set class
Syntax hints:  CondEqwcdeq 2812
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106
This theorem depends on definitions:  df-bi 115  df-cdeq 2813
This theorem is referenced by: (None)
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