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Theorem 3exp2 1169
Description: Exportation from right triple conjunction. (Contributed by NM, 26-Oct-2006.)
Hypothesis
Ref Expression
3exp2.1 ((φ (ψ χ θ)) → τ)
Assertion
Ref Expression
3exp2 (φ → (ψ → (χ → (θτ))))

Proof of Theorem 3exp2
StepHypRef Expression
1 3exp2.1 . . 3 ((φ (ψ χ θ)) → τ)
21ex 423 . 2 (φ → ((ψ χ θ) → τ))
323expd 1168 1 (φ → (ψ → (χ → (θτ))))
Colors of variables: wff setvar class
Syntax hints:  wi 4   wa 358   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:  3anassrs  1173  ralrimivvva  2707  sfinltfin  4535
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