Theorem simpli 109

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 107	. 2 |- ( ( ph /\ ps ) -> ph )
3	1, 2	ax-mp 7	1 |- ph

Syntax hints:   /\ wa 102

This theorem was proved from axioms:  ax-mp 7  ax-ia1 104

This theorem is referenced by:  bi1  116  bi2  128  dfbi2  380  orc  665  pwundifss  4040  ssdomg  6281  negiso  8033  infrenegsupex  8682