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Theorem pm3.3 259
Description: Theorem *3.3 (Exp) of [WhiteheadRussell] p. 112. (Contributed by NM, 3-Jan-2005.) (Proof shortened by Wolf Lammen, 24-Mar-2013.)
Assertion
Ref Expression
pm3.3 (((𝜑𝜓) → 𝜒) → (𝜑 → (𝜓𝜒)))

Proof of Theorem pm3.3
StepHypRef Expression
1 id 19 . 2 (((𝜑𝜓) → 𝜒) → ((𝜑𝜓) → 𝜒))
21expd 256 1 (((𝜑𝜓) → 𝜒) → (𝜑 → (𝜓𝜒)))
Colors of variables: wff set class
Syntax hints:  wi 4  wa 103
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia3 107
This theorem is referenced by:  impexp  261  pm3.37  663  pm4.79dc  873  sbi2v  1848
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