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Theorem simp1i 964
Description: Infer a conjunct from a triple conjunction. (Contributed by NM, 19-Apr-2005.)
Hypothesis
Ref Expression
3simp1i.1 (φ ψ χ)
Assertion
Ref Expression
simp1i φ

Proof of Theorem simp1i
StepHypRef Expression
1 3simp1i.1 . 2 (φ ψ χ)
2 simp1 955 . 2 ((φ ψ χ) → φ)
31, 2ax-mp 5 1 φ
Colors of variables: wff setvar class
Syntax hints:   w3a 934
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 177  df-an 360  df-3an 936
This theorem is referenced by: (None)
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