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Theorem pm3.43 574
Description: Theorem *3.43 (Comp) of [WhiteheadRussell] p. 113. (Contributed by NM, 3-Jan-2005.) (Revised by NM, 27-Nov-2013.)
Assertion
Ref Expression
pm3.43 (((𝜑𝜓) ∧ (𝜑𝜒)) → (𝜑 → (𝜓𝜒)))

Proof of Theorem pm3.43
StepHypRef Expression
1 pm3.43i 269 . 2 ((𝜑𝜓) → ((𝜑𝜒) → (𝜑 → (𝜓𝜒))))
21imp 123 1 (((𝜑𝜓) ∧ (𝜑𝜒)) → (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-ia1 105  ax-ia2 106  ax-ia3 107
This theorem is referenced by:  jcab  575  sbequilem  1792  eqvinc  2780  eqvincg  2781
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