Theorem pm2.46 746

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 718	. 2 |- ( ps -> ( ph \/ ps ) )
2	1	con3i 637	1 |- ( -. ( ph \/ ps ) -> -. ps )

Syntax hints:   -. wn 3   -> wi 4   \/ wo 715

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-in1 619  ax-in2 620  ax-io 716

This theorem depends on definitions:  df-bi 117

This theorem is referenced by:  pm2.48  748  pm2.49  749  ioran  759  eueq3dc  2980  regexmidlem1  4631