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Theorem andir 838
Description: Distributive law for conjunction. (Contributed by NM, 12-Aug-1994.)
Assertion
Ref Expression
andir

Proof of Theorem andir
StepHypRef Expression
1 andi 837 . 2
2 ancom 437 . 2
3 ancom 437 . . 3
4 ancom 437 . . 3
53, 4orbi12i 507 . 2
61, 2, 53bitr4i 268 1
Colors of variables: wff setvar class
Syntax hints:   wb 176   wo 357   wa 358
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360
This theorem is referenced by:  anddi  840  cador  1391  rexun  3443  rabun2  3534  reuun2  3538  elimif  3691  xpundir  4833  coundi  5082  nchoicelem18  6306
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