Theorem anabss4 501

Description: Absorption of antecedent into conjunction.

Hypothesis

Ref	Expression
anabss4.1	|- (((ps /\ ph) /\ ps) -> ch)

Assertion

Ref	Expression
anabss4	|- ((ph /\ ps) -> ch)

Proof of Theorem anabss4

Step	Hyp	Ref	Expression
1		anabss4.1	. . 3 |- (((ps /\ ph) /\ ps) -> ch)
2	1	anabss1 499	. 2 |- ((ps /\ ph) -> ch)
3	2	ancoms 436	1 |- ((ph /\ ps) -> ch)

Syntax hints:   -> wi 3   /\ wa 223

This theorem is referenced by:  ordtri3or 2976

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7

This theorem depends on definitions:  df-bi 147  df-an 225

Copyright terms: Public domain