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Theorem simp2i 992
Description: Infer a conjunct from a triple conjunction. (Contributed by NM, 19-Apr-2005.)
Hypothesis
Ref Expression
3simp1i.1 (𝜑𝜓𝜒)
Assertion
Ref Expression
simp2i 𝜓

Proof of Theorem simp2i
StepHypRef Expression
1 3simp1i.1 . 2 (𝜑𝜓𝜒)
2 simp2 983 . 2 ((𝜑𝜓𝜒) → 𝜓)
31, 2ax-mp 5 1 𝜓
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
This theorem depends on definitions:  df-bi 116  df-3an 965
This theorem is referenced by:  strleun  12085
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