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Theorem simp3i 993
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
simp3i  |-  ch

Proof of Theorem simp3i
StepHypRef Expression
1 3simp1i.1 . 2  |-  ( ph  /\ 
ps  /\  ch )
2 simp3 984 . 2  |-  ( (
ph  /\  ps  /\  ch )  ->  ch )
31, 2ax-mp 5 1  |-  ch
Colors of variables: wff set class
Syntax hints:    /\ w3a 963
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107
This theorem depends on definitions:  df-bi 116  df-3an 965
This theorem is referenced by:  structfn  12251  strleun  12321
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