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Theorem ordir 718
Description: Distributive law for disjunction. (Contributed by NM, 12-Aug-1994.)
Assertion
Ref Expression
ordir

Proof of Theorem ordir
StepHypRef Expression
1 ordi 717 . 2
2 orcom 634 . 2
3 orcom 634 . . 3
4 orcom 634 . . 3
53, 4anbi12i 436 . 2
61, 2, 53bitr4i 201 1
Colors of variables: wff set class
Syntax hints:   wa 97   wb 98   wo 616
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-io 617
This theorem depends on definitions:  df-bi 110
This theorem is referenced by:  orddi  721  pm5.62dc  838  dn1dc  853  suc11g  4215  bj-peano4  7373
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