Theorem anabss7 503

Description: Absorption of antecedent into conjunction.

Hypothesis

Ref	Expression
anabss7.1	|- ((ps /\ (ph /\ ps)) -> ch)

Assertion

Ref	Expression
anabss7	|- ((ph /\ ps) -> ch)

Proof of Theorem anabss7

Step	Hyp	Ref	Expression
1		anabss7.1	. . 3 |- ((ps /\ (ph /\ ps)) -> ch)
2	1	ex 373	. 2 |- (ps -> ((ph /\ ps) -> ch))
3	2	anabsi7 497	1 |- ((ph /\ ps) -> ch)

Syntax hints:   -> wi 3   /\ wa 223

This theorem is referenced by:  funbrfv 3750  faclbnd5 6953  mulc1cncf 7279  findabrcl 10418

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