Theorem simpli 444

Description: Inference eliminating a conjunct. (Contributed by NM, 15-Jun-1994.)

Hypothesis

Ref	Expression
simpli.1	|- (ph /\ ps)

Assertion

Ref	Expression
simpli	|- ph

Proof of Theorem simpli

Step	Hyp	Ref	Expression
1		simpli.1	. 2 |- (ph /\ ps)
2		simpl 443	. 2 |- ((ph /\ ps) -> ph)
3	1, 2	ax-mp 5	1 |- ph

Syntax hints:   /\ wa 358

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 177  df-an 360

This theorem is referenced by: (None)