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Theorem 3ioran 899
Description: Negated triple disjunction as triple conjunction. (Contributed by Scott Fenton, 19-Apr-2011.)
Assertion
Ref Expression
3ioran

Proof of Theorem 3ioran
StepHypRef Expression
1 ioran 668 . . 3
21anbi1i 431 . 2
3 ioran 668 . . 3
4 df-3or 885 . . 3
53, 4xchnxbir 605 . 2
6 df-3an 886 . 2
72, 5, 63bitr4i 201 1
Colors of variables: wff set class
Syntax hints:   wn 3   wa 97   wb 98   wo 628   w3o 883   w3a 884
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-in1 544  ax-in2 545  ax-io 629
This theorem depends on definitions:  df-bi 110  df-3or 885  df-3an 886
This theorem is referenced by:  ne3anior  2287
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