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Theorem exp4a 589
Description: An exportation inference. (Contributed by NM, 26-Apr-1994.)
Hypothesis
Ref Expression
exp4a.1 (φ → (ψ → ((χ θ) → τ)))
Assertion
Ref Expression
exp4a (φ → (ψ → (χ → (θτ))))

Proof of Theorem exp4a
StepHypRef Expression
1 exp4a.1 . 2 (φ → (ψ → ((χ θ) → τ)))
2 impexp 433 . 2 (((χ θ) → τ) ↔ (χ → (θτ)))
31, 2syl6ib 217 1 (φ → (ψ → (χ → (θτ))))
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:  exp4b  590  exp4d  592  exp45  597  exp5c  599  spfininduct  4540  fununiq  5517  fntxp  5804
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