Theorem simpri 111

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

Hypothesis

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

Assertion

Ref	Expression
simpri	|- ps

Proof of Theorem simpri

Step	Hyp	Ref	Expression
1		simpri.1	. 2 |- ( ph /\ ps )
2		simpr 108	. 2 |- ( ( ph /\ ps ) -> ps )
3	1, 2	ax-mp 7	1 |- ps

Syntax hints:   /\ wa 102

This theorem was proved from axioms:  ax-mp 7  ax-ia2 105

This theorem is referenced by:  bi3  117  dfbi2  380  olc  667  mptxor  1360  sb4bor  1763  ordsoexmid  4376  negiso  8406  infrenegsupex  9072  cos01bnd  11036  cos1bnd  11037  cos2bnd  11038  sincos2sgn  11043  sin4lt0  11044  egt2lt3  11054