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Theorem imp5g 583
Description: An importation inference. (Contributed by Jeff Hankins, 7-Jul-2009.)
Hypothesis
Ref Expression
imp5.1 (φ → (ψ → (χ → (θ → (τη)))))
Assertion
Ref Expression
imp5g ((φ ψ) → (((χ θ) τ) → η))

Proof of Theorem imp5g
StepHypRef Expression
1 imp5.1 . . 3 (φ → (ψ → (χ → (θ → (τη)))))
21imp 418 . 2 ((φ ψ) → (χ → (θ → (τη))))
32imp4c 574 1 ((φ ψ) → (((χ θ) τ) → η))
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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