Theorem anabsan2 387

Description: Absorption of antecedent with conjunction.

Hypothesis

Ref	Expression
anabsan2.1	|- ((ph /\ (ps /\ ps)) -> ch)

Assertion

Ref	Expression
anabsan2	|- ((ph /\ ps) -> ch)

Proof of Theorem anabsan2

Step	Hyp	Ref	Expression
1		anabsan2.1	. . 3 |- ((ph /\ (ps /\ ps)) -> ch)
2	1	anassrs 338	. 2 |- (((ph /\ ps) /\ ps) -> ch)
3	2	anabss3 382	1 |- ((ph /\ ps) -> ch)

Syntax hints:   -> wi 2   /\ wa 196

This theorem is referenced by:  anandirs 395  pncant 4161  npcant 4162  5oalem1 5544  3oalem2 5553

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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