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Theorem an31s 781
Description: Swap two conjuncts in antecedent. (Contributed by NM, 31-May-2006.)
Hypothesis
Ref Expression
an32s.1 (((φ ψ) χ) → θ)
Assertion
Ref Expression
an31s (((χ ψ) φ) → θ)

Proof of Theorem an31s
StepHypRef Expression
1 an32s.1 . . . 4 (((φ ψ) χ) → θ)
21exp31 587 . . 3 (φ → (ψ → (χθ)))
32com13 74 . 2 (χ → (ψ → (φθ)))
43imp31 421 1 (((χ ψ) φ) → θ)
Colors of variables: wff setvar class
Syntax hints:  wi 4   wa 358
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
This theorem is referenced by: (None)
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