ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  pm2.37 Unicode version

Theorem pm2.37 752
Description: Theorem *2.37 of [WhiteheadRussell] p. 105. (Contributed by NM, 6-Mar-2008.)
Assertion
Ref Expression
pm2.37  |-  ( ( ps  ->  ch )  ->  ( ( ps  \/  ph )  ->  ( ph  \/  ch ) ) )

Proof of Theorem pm2.37
StepHypRef Expression
1 pm2.38 750 . 2  |-  ( ( ps  ->  ch )  ->  ( ( ps  \/  ph )  ->  ( ch  \/  ph ) ) )
2 pm1.4 679 . 2  |-  ( ( ch  \/  ph )  ->  ( ph  \/  ch ) )
31, 2syl6 33 1  |-  ( ( ps  ->  ch )  ->  ( ( ps  \/  ph )  ->  ( ph  \/  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: (None)
  Copyright terms: Public domain W3C validator