Theorem impbidd 189

Description: Deduce an equivalence from two implications. (Contributed by Rodolfo Medina, 12-Oct-2010.)

Hypotheses

Ref	Expression
impbidd.1
impbidd.2

Assertion

Ref	Expression
impbidd

Proof of Theorem impbidd

Step	Hyp	Ref	Expression
1		impbidd.1	. 2
2		impbidd.2	. 2
3		bi3 187	. 2
4	1, 2, 3	syl6c 64	1

Syntax hints:  ->wi 4  <->wb 184

This theorem is referenced by:  impbid21d  190  pm5.74  244  seglecgr12  29761  prtlem18  30618

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