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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
StepHypRef Expression
1 simpli.1 . 2  |-  ( ph  /\ 
ps )
2 simpl 107 . 2  |-  ( (
ph  /\  ps )  ->  ph )
31, 2ax-mp 7 1  |-  ph
Colors of variables: wff set class
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  668  pwundifss  4112  ssdomg  6493  negiso  8414  infrenegsupex  9080  cos01bnd  11045  cos1bnd  11046  cos2bnd  11047  sin4lt0  11053  egt2lt3  11063  epos  11064  ene1  11068  eap1  11069
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