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Theorem orcanai 871
Description: Change disjunction in consequent to conjunction in antecedent. (Contributed by NM, 8-Jun-1994.)
Hypothesis
Ref Expression
orcanai.1  |-  ( ph  ->  ( ps  \/  ch ) )
Assertion
Ref Expression
orcanai  |-  ( (
ph  /\  -.  ps )  ->  ch )

Proof of Theorem orcanai
StepHypRef Expression
1 orcanai.1 . . 3  |-  ( ph  ->  ( ps  \/  ch ) )
21ord 676 . 2  |-  ( ph  ->  ( -.  ps  ->  ch ) )
32imp 122 1  |-  ( (
ph  /\  -.  ps )  ->  ch )
Colors of variables: wff set class
Syntax hints:   -. wn 3    -> wi 4    /\ wa 102    \/ wo 662
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-in2 578  ax-io 663
This theorem depends on definitions:  df-bi 115
This theorem is referenced by: (None)
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