Metamath Proof Explorer


Theorem animorl

Description: Conjunction implies disjunction with one common formula (1/4). (Contributed by BJ, 4-Oct-2019)

Ref Expression
Assertion animorl ( ( 𝜑𝜓 ) → ( 𝜑𝜒 ) )

Proof

Step Hyp Ref Expression
1 simpl ( ( 𝜑𝜓 ) → 𝜑 )
2 1 orcd ( ( 𝜑𝜓 ) → ( 𝜑𝜒 ) )