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Theorem animorl 971
Description: Conjunction implies disjunction with one common formula (1/4). (Contributed by BJ, 4-Oct-2019.)
Assertion
Ref Expression
animorl ((𝜑𝜓) → (𝜑𝜒))

Proof of Theorem animorl
StepHypRef Expression
1 simpl 483 . 2 ((𝜑𝜓) → 𝜑)
21orcd 869 1 ((𝜑𝜓) → (𝜑𝜒))
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:  norassOLD  1525  cadan  1601  rankxplim3  9298  lindslinindsimp1  44440
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