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Theorem pm3.33 327
Description: Theorem *3.33 (Syll) of [WhiteheadRussell] p. 112. (Contributed by NM, 3-Jan-2005.)
Assertion
Ref Expression
pm3.33 (((𝜑𝜓) ∧ (𝜓𝜒)) → (𝜑𝜒))

Proof of Theorem pm3.33
StepHypRef Expression
1 imim1 70 . 2 ((𝜑𝜓) → ((𝜓𝜒) → (𝜑𝜒)))
21imp 115 1 (((𝜑𝜓) ∧ (𝜓𝜒)) → (𝜑𝜒))
Colors of variables: wff set class
Syntax hints:  wi 4  wa 97
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100
This theorem is referenced by:  alsyl  1526  sbequilem  1719
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