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Theorem pm3.34 332
Description: Theorem *3.34 (Syll) of [WhiteheadRussell] p. 112. (Contributed by NM, 3-Jan-2005.)
Assertion
Ref Expression
pm3.34 (((𝜓𝜒) ∧ (𝜑𝜓)) → (𝜑𝜒))

Proof of Theorem pm3.34
StepHypRef Expression
1 imim2 53 . 2 ((𝜓𝜒) → ((𝜑𝜓) → (𝜑𝜒)))
21imp 119 1 (((𝜓𝜒) ∧ (𝜑𝜓)) → (𝜑𝜒))
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-ia1 103  ax-ia2 104
This theorem is referenced by:  algcvgblem  10271
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