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Theorem olcs 393
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 387 . 2  |-  ( ( ps  \/  ph )  ->  ch )
32orcs 392 1  |-  ( ps 
->  ch )
Colors of variables: wff setvar class
Syntax hints:    -> wi 4    \/ wo 366
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 368
This theorem is referenced by:  0nn0  10850  fsum00  13761  pcfac  14625  mndifsplit  19428  bposlem2  23939  axcgrid  24623  3o2cs  27769  3o3cs  27770  itg2addnclem  31419  tsan3  31812
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