Theorem cdeqth 3314

Description: Deduce conditional equality from a theorem. (Contributed by Mario Carneiro, 11-Aug-2016.)

Hypothesis

Ref	Expression
cdeqth.1

Assertion

Ref	Expression
cdeqth

Proof of Theorem cdeqth

Step	Hyp	Ref	Expression
1		cdeqth.1	. . 3
2	1	a1i 11	. 2
3	2	cdeqi 3312	1

Syntax hints:  CondEqwcdeq 3310

This theorem is referenced by:  cdeqal1  3318  cdeqab1  3319  nfccdeq  3325

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