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Theorem 3jaod 1246
Description: Disjunction of 3 antecedents (deduction). (Contributed by NM, 14-Oct-2005.)
Hypotheses
Ref Expression
3jaod.1
3jaod.2
3jaod.3
Assertion
Ref Expression
3jaod

Proof of Theorem 3jaod
StepHypRef Expression
1 3jaod.1 . 2
2 3jaod.2 . 2
3 3jaod.3 . 2
4 3jao 1243 . 2
51, 2, 3, 4syl3anc 1182 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   w3o 933
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  df-3or 935  df-3an 936
This theorem is referenced by:  3jaodan  1248  3jaao  1249  ltfintri  4466  nchoicelem1  6289  nchoicelem2  6290
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