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Theorem pm5.35 864
Description: Theorem *5.35 of [WhiteheadRussell] p. 125. (Contributed by NM, 3-Jan-2005.)
Assertion
Ref Expression
pm5.35 (((𝜑𝜓) ∧ (𝜑𝜒)) → (𝜑 → (𝜓𝜒)))

Proof of Theorem pm5.35
StepHypRef Expression
1 pm5.1 568 . 2 (((𝜑𝜓) ∧ (𝜑𝜒)) → ((𝜑𝜓) ↔ (𝜑𝜒)))
21pm5.74rd 181 1 (((𝜑𝜓) ∧ (𝜑𝜒)) → (𝜑 → (𝜓𝜒)))
Colors of variables: wff set class
Syntax hints:  wi 4  wa 102  wb 103
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106
This theorem depends on definitions:  df-bi 115
This theorem is referenced by: (None)
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