Theorem anabsi8 500

Description: Absorption of antecedent into conjunction.

Hypothesis

Ref	Expression
anabsi8.1	|- (ps -> ((ps /\ ph) -> ch))

Assertion

Ref	Expression
anabsi8	|- ((ph /\ ps) -> ch)

Proof of Theorem anabsi8

Step	Hyp	Ref	Expression
1		anabsi8.1	. . 3 |- (ps -> ((ps /\ ph) -> ch))
2	1	anabsi5 497	. 2 |- ((ps /\ ph) -> ch)
3	2	ancoms 438	1 |- ((ph /\ ps) -> ch)

Syntax hints:   -> wi 3   /\ wa 223

This theorem is referenced by:  projlem1 9181

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