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Theorem cdeqri 3313
Description: Property of conditional equality. (Contributed by Mario Carneiro, 11-Aug-2016.)
Hypothesis
Ref Expression
cdeqri.1
Assertion
Ref Expression
cdeqri

Proof of Theorem cdeqri
StepHypRef Expression
1 cdeqri.1 . 2
2 df-cdeq 3311 . 2
31, 2mpbi 208 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  CondEqwcdeq 3310
This theorem is referenced by:  cdeqnot  3315  cdeqal  3316  cdeqab  3317  cdeqal1  3318  cdeqab1  3319  cdeqim  3320  cdeqeq  3322  cdeqel  3323  nfcdeq  3324  bj-cdeqab  34373
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 185  df-cdeq 3311
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