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Theorem anabss4 788
Description: Absorption of antecedent into conjunction. (Contributed by NM, 20-Jul-1996.)
Hypothesis
Ref Expression
anabss4.1  |-  ( ( ( ps  /\  ph )  /\  ps )  ->  ch )
Assertion
Ref Expression
anabss4  |-  ( (
ph  /\  ps )  ->  ch )

Proof of Theorem anabss4
StepHypRef Expression
1 anabss4.1 . . 3  |-  ( ( ( ps  /\  ph )  /\  ps )  ->  ch )
21anabss1 787 . 2  |-  ( ( ps  /\  ph )  ->  ch )
32ancoms 439 1  |-  ( (
ph  /\  ps )  ->  ch )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 358
This theorem is referenced by:  anabss7  794  ordtri3or  4424
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 177  df-an 360
  Copyright terms: Public domain W3C validator