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Theorem impac 553
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 552 . 2 (𝜑 → (𝜓 → (𝜒𝜓)))
32imp 407 1 ((𝜑𝜓) → (𝜒𝜓))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wa 396
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 208  df-an 397
This theorem is referenced by:  imdistanri  570  f1elima  7012  zfrep6  7645  repswswrd  14134  sltval2  33060  bj-snsetex  34172
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