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Theorem impac 378
Description: Importation with conjunction in consequent. (Contributed by NM, 9-Aug-1994.)
Hypothesis
Ref Expression
impac.1 (𝜑 → (𝜓𝜒))
Assertion
Ref Expression
impac ((𝜑𝜓) → (𝜒𝜓))

Proof of Theorem impac
StepHypRef Expression
1 impac.1 . . 3 (𝜑 → (𝜓𝜒))
21ancrd 324 . 2 (𝜑 → (𝜓 → (𝜒𝜓)))
32imp 123 1 ((𝜑𝜓) → (𝜒𝜓))
Colors of variables: wff set class
Syntax hints:  wi 4  wa 103
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107
This theorem is referenced by:  imdistanri  442  f1elima  5667
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