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Theorem 3imp231 1110
Description: Importation inference. (Contributed by Alan Sare, 17-Oct-2017.)
Hypothesis
Ref Expression
3imp.1 (𝜑 → (𝜓 → (𝜒𝜃)))
Assertion
Ref Expression
3imp231 ((𝜓𝜒𝜑) → 𝜃)

Proof of Theorem 3imp231
StepHypRef Expression
1 3imp.1 . . 3 (𝜑 → (𝜓 → (𝜒𝜃)))
21com3l 89 . 2 (𝜓 → (𝜒 → (𝜑𝜃)))
323imp 1108 1 ((𝜓𝜒𝜑) → 𝜃)
Colors of variables: wff setvar class
Syntax hints:  wi 4  w3a 1084
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 210  df-an 400  df-3an 1086
This theorem is referenced by:  3imp21  1111  sotri2  5960  oawordri  8163  undifixp  8485  eel12131  41412  odd2prm2  44229
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