Theorem imdistan 689

Description: Distribution of implication with conjunction. (Contributed by NM, 31-May-1999.) (Proof shortened by Wolf Lammen, 6-Dec-2012.)

Assertion

Ref	Expression
imdistan

Proof of Theorem imdistan

Step	Hyp	Ref	Expression
1		pm5.42 548	. 2
2		impexp 446	. 2
3	1, 2	bitr4i 252	1

Syntax hints:  ->wi 4  <->wb 184  /\wa 369

This theorem is referenced by:  imdistand  692  pm5.3  711  rmoim  3299  ss2rab  3575  marypha2lem3  7917

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-an 371