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Theorem exp4c 354
Description: An exportation inference. (Contributed by NM, 26-Apr-1994.)
Hypothesis
Ref Expression
exp4c.1 (𝜑 → (((𝜓𝜒) ∧ 𝜃) → 𝜏))
Assertion
Ref Expression
exp4c (𝜑 → (𝜓 → (𝜒 → (𝜃𝜏))))

Proof of Theorem exp4c
StepHypRef Expression
1 exp4c.1 . . 3 (𝜑 → (((𝜓𝜒) ∧ 𝜃) → 𝜏))
21expd 249 . 2 (𝜑 → ((𝜓𝜒) → (𝜃𝜏)))
32expd 249 1 (𝜑 → (𝜓 → (𝜒 → (𝜃𝜏))))
Colors of variables: wff set class
Syntax hints:  wi 4  wa 101
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia3 105
This theorem is referenced by:  leexp1a  9475
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