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Theorem ancr 542
Description: Conjoin antecedent to right of consequent. (Contributed by NM, 15-Aug-1994.)
Assertion
Ref Expression
ancr ((𝜑𝜓) → (𝜑 → (𝜓𝜑)))

Proof of Theorem ancr
StepHypRef Expression
1 pm3.21 463 . 2 (𝜑 → (𝜓 → (𝜓𝜑)))
21a2i 14 1 ((𝜑𝜓) → (𝜑 → (𝜓𝜑)))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wa 384
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 198  df-an 385
This theorem is referenced by:  bimsc1  870  reupick2  4077  intmin4  4662  bnj1098  31234  lukshef-ax2  32785  poimirlem25  33790  pm14.122b  39229
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