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Theorem pm3.45 915
Description: Theorem *3.45 (Fact) of [WhiteheadRussell] p. 113. (Contributed by NM, 3-Jan-2005.)
Assertion
Ref Expression
pm3.45 ((𝜑𝜓) → ((𝜑𝜒) → (𝜓𝜒)))

Proof of Theorem pm3.45
StepHypRef Expression
1 id 22 . 2 ((𝜑𝜓) → (𝜑𝜓))
21anim1d 589 1 ((𝜑𝜓) → ((𝜑𝜒) → (𝜓𝜒)))
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 197  df-an 385
This theorem is referenced by:  mopick  2669  rabss2  3822  lmcnp  21306  fbflim2  21978  ivthlem2  23417  ivthlem3  23418  ssrmo  29638  arg-ax  32717  pm10.56  39067
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