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Theorem pm3.42 581
Description: Theorem *3.42 of [WhiteheadRussell] p. 113. (Contributed by NM, 3-Jan-2005.)
Assertion
Ref Expression
pm3.42 ((𝜓𝜒) → ((𝜑𝜓) → 𝜒))

Proof of Theorem pm3.42
StepHypRef Expression
1 simpr 476 . 2 ((𝜑𝜓) → 𝜓)
21imim1i 61 1 ((𝜓𝜒) → ((𝜑𝜓) → 𝜒))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wa 383
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 196  df-an 385
This theorem is referenced by:  bnj1101  30109  islinindfis  42032
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