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Theorem exp3acom23 1372
Description: The exportation deduction exp3a 425 with commutation of the conjoined wwfs. (Contributed by Alan Sare, 22-Jul-2012.)
Hypothesis
Ref Expression
exp3acom23.1 (φ → ((ψ χ) → θ))
Assertion
Ref Expression
exp3acom23 (φ → (χ → (ψθ)))

Proof of Theorem exp3acom23
StepHypRef Expression
1 exp3acom23.1 . . 3 (φ → ((ψ χ) → θ))
21exp3a 425 . 2 (φ → (ψ → (χθ)))
32com23 72 1 (φ → (χ → (ψθ)))
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:  simplbi2comg  1373  ax10  1944  reupick  3539  fnpprod  5843
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