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Theorem pm3.45 621
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 610 1 ((𝜑𝜓) → ((𝜑𝜒) → (𝜓𝜒)))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wa 395
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 206  df-an 396
This theorem is referenced by:  mopick  2628  ssrmof  3990  rabss2  4015  lmcnp  22436  fbflim2  23109  ivthlem2  24597  ivthlem3  24598  arg-ax  34584  pm10.56  41941
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