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Theorem ordir 865
Description: Distributive law for disjunction. (Contributed by NM, 12-Aug-1994.)
Assertion
Ref Expression
ordir

Proof of Theorem ordir
StepHypRef Expression
1 ordi 864 . 2
2 orcom 387 . 2
3 orcom 387 . . 3
4 orcom 387 . . 3
53, 4anbi12i 697 . 2
61, 2, 53bitr4i 277 1
Colors of variables: wff setvar class
Syntax hints:  <->wb 184  \/wo 368  /\wa 369
This theorem is referenced by:  orddi  869  pm5.62  923  dn1  966  cadan  1459  elnn0z  10902  bj-ifim123g  37706  rp-fakeanorass  37737
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-or 370  df-an 371
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