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Theorem pm3.43i 262
Description: Nested conjunction of antecedents. (Contributed by NM, 5-Aug-1993.)
Assertion
Ref Expression
pm3.43i ((𝜑𝜓) → ((𝜑𝜒) → (𝜑 → (𝜓𝜒))))

Proof of Theorem pm3.43i
StepHypRef Expression
1 pm3.2 130 . 2 (𝜓 → (𝜒 → (𝜓𝜒)))
21imim3i 59 1 ((𝜑𝜓) → ((𝜑𝜒) → (𝜑 → (𝜓𝜒))))
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:  pm3.43  544
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