Theorem anandir 829

Description: Distribution of conjunction over conjunction. (Contributed by NM, 24-Aug-1995.)

Assertion

Ref	Expression
anandir

Proof of Theorem anandir

Step	Hyp	Ref	Expression
1		anidm 644	. . 3
2	1	anbi2i 694	. 2
3		an4 824	. 2
4	2, 3	bitr3i 251	1

Syntax hints:  <->wb 184  /\wa 369

This theorem is referenced by:  anandi3r  988  disjxun  4450  fununi  5659  imadif  5668  elfzuzb  11711  frgra3v  25002  5oalem3  26574  5oalem5  26576  wfrlem5  29347  frrlem5  29391  nzin  31223  un2122  33587

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