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Theorem animorl 505
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 473 . 2 ((𝜑𝜓) → 𝜑)
21orcd 407 1 ((𝜑𝜓) → (𝜑𝜒))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wo 383  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 197  df-or 385  df-an 386
This theorem is referenced by:  cadan  1545
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