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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
StepHypRef Expression
1 simpri.1 . 2  |-  ( ph  /\ 
ps )
2 simpr 108 . 2  |-  ( (
ph  /\  ps )  ->  ps )
31, 2ax-mp 7 1  |-  ps
Colors of variables: wff set class
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
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