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Theorem 3ori 1288
Description: Infer implication from triple disjunction. (Contributed by NM, 26-Sep-2006.)
Hypothesis
Ref Expression
3ori.1
Assertion
Ref Expression
3ori

Proof of Theorem 3ori
StepHypRef Expression
1 ioran 490 . 2
2 3ori.1 . . . 4
3 df-3or 974 . . . 4
42, 3mpbi 208 . . 3
54ori 375 . 2
61, 5sylbir 213 1
Colors of variables: wff setvar class
Syntax hints:  -.wn 3  ->wi 4  \/wo 368  /\wa 369  \/w3o 972
This theorem is referenced by:  rankxplim3  8320
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  df-3or 974
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