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Theorem animorrl 974
Description: Conjunction implies disjunction with one common formula (4/4). (Contributed by BJ, 4-Oct-2019.)
Assertion
Ref Expression
animorrl ((𝜑𝜓) → (𝜓𝜒))

Proof of Theorem animorrl
StepHypRef Expression
1 simpr 485 . 2 ((𝜑𝜓) → 𝜓)
21orcd 869 1 ((𝜑𝜓) → (𝜓𝜒))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wa 396  wo 841
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  df-or 842
This theorem is referenced by:  nelpr1  4583  ccatsymb  13924  sadadd2lem2  15787  mreexexlem4d  16906  drngnidl  19930  ppttop  21543  wilthlem2  25573  bcmono  25780  addsqnreup  25946  mideulem2  26447  linds2eq  30868  fnwe2lem3  39530  disjxp1  41208  nnfoctbdjlem  42614
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