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Theorem simp1i 913
Description: Infer a conjunct from a triple conjunction. (Contributed by NM, 19-Apr-2005.)
Hypothesis
Ref Expression
3simp1i.1  |-  ( ph  /\ 
ps  /\  ch )
Assertion
Ref Expression
simp1i  |-  ph

Proof of Theorem simp1i
StepHypRef Expression
1 3simp1i.1 . 2  |-  ( ph  /\ 
ps  /\  ch )
2 simp1 904 . 2  |-  ( (
ph  /\  ps  /\  ch )  ->  ph )
31, 2ax-mp 7 1  |-  ph
Colors of variables: wff set class
Syntax hints:    /\ w3a 885
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99
This theorem depends on definitions:  df-bi 110  df-3an 887
This theorem is referenced by:  find  4322
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