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

Step	Hyp	Ref	Expression
1		cdeqri.1	. 2
2		df-cdeq 3311	. 2
3	1, 2	mpbi 208	1

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