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Theorem pm2.37 752
Description: Theorem *2.37 of [WhiteheadRussell] p. 105. (Contributed by NM, 6-Mar-2008.)
Assertion
Ref Expression
pm2.37 ((𝜓𝜒) → ((𝜓𝜑) → (𝜑𝜒)))

Proof of Theorem pm2.37
StepHypRef Expression
1 pm2.38 750 . 2 ((𝜓𝜒) → ((𝜓𝜑) → (𝜒𝜑)))
2 pm1.4 679 . 2 ((𝜒𝜑) → (𝜑𝜒))
31, 2syl6 33 1 ((𝜓𝜒) → ((𝜓𝜑) → (𝜑𝜒)))
Colors of variables: wff set class
Syntax hints:  wi 4  wo 662
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-io 663
This theorem depends on definitions:  df-bi 115
This theorem is referenced by: (None)
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