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Theorem simp1i 975
Description: Infer a conjunct from a triple conjunction. (Contributed by NM, 19-Apr-2005.)
Hypothesis
Ref Expression
3simp1i.1 (𝜑𝜓𝜒)
Assertion
Ref Expression
simp1i 𝜑

Proof of Theorem simp1i
StepHypRef Expression
1 3simp1i.1 . 2 (𝜑𝜓𝜒)
2 simp1 966 . 2 ((𝜑𝜓𝜒) → 𝜑)
31, 2ax-mp 5 1 𝜑
Colors of variables: wff set class
Syntax hints:  w3a 947
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105
This theorem depends on definitions:  df-bi 116  df-3an 949
This theorem is referenced by:  find  4483  structfn  11905  strleun  11975
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