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Theorem pm2.37 884
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 pm2.38 882 . 2 ((𝜓𝜒) → ((𝜓𝜑) → (𝜒𝜑)))
2 pm1.4 399 . 2 ((𝜒𝜑) → (𝜑𝜒))
31, 2syl6 34 1 ((𝜓𝜒) → ((𝜓𝜑) → (𝜑𝜒)))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wo 381
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 195  df-or 383  df-an 384
This theorem is referenced by: (None)
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