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Theorem olcs 688
Description: Deduction eliminating disjunct. (Contributed by NM, 21-Jun-1994.) (Proof shortened by Wolf Lammen, 3-Oct-2013.)
Hypothesis
Ref Expression
olcs.1  |-  ( (
ph  \/  ps )  ->  ch )
Assertion
Ref Expression
olcs  |-  ( ps 
->  ch )

Proof of Theorem olcs
StepHypRef Expression
1 olcs.1 . . 3  |-  ( (
ph  \/  ps )  ->  ch )
21orcoms 682 . 2  |-  ( ( ps  \/  ph )  ->  ch )
32orcs 687 1  |-  ( ps 
->  ch )
Colors of variables: wff set class
Syntax hints:    -> wi 4    \/ 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-io 663
This theorem depends on definitions:  df-bi 115
This theorem is referenced by:  equs5or  1753  0nn0  8578  xrlttri3  9160
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