Theorem anabsi8 380

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 377	. 2 |- ((ps /\ ph) -> ch)
3	2	ancoms 334	1 |- ((ph /\ ps) -> ch)

Syntax hints:   -> wi 2   /\ wa 196

This theorem is referenced by:  projlem1 5193

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

This theorem depends on definitions:  df-bi 128  df-an 198

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