Theorem pm2.46 693

Description: Theorem *2.46 of [WhiteheadRussell] p. 106. (Contributed by NM, 3-Jan-2005.)

Assertion

Ref	Expression
pm2.46	|- ( -. ( ph \/ ps ) -> -. ps )

Proof of Theorem pm2.46

Step	Hyp	Ref	Expression
1		olc 667	. 2 |- ( ps -> ( ph \/ ps ) )
2	1	con3i 597	1 |- ( -. ( ph \/ ps ) -> -. ps )

Syntax hints:   -. wn 3   -> wi 4   \/ wo 664

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-in1 579  ax-in2 580  ax-io 665

This theorem depends on definitions:  df-bi 115

This theorem is referenced by:  pm2.48  695  pm2.49  696  ioran  704  eueq3dc  2789  regexmidlem1  4349