Theorem animorl

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

	Ref	Expression
Assertion	animorl	⊢ ( ( 𝜑 ∧ 𝜓 ) → ( 𝜑 ∨ 𝜒 ) )

Proof

Step	Hyp	Ref	Expression
1		simpl	⊢ ( ( 𝜑 ∧ 𝜓 ) → 𝜑 )
2	1	orcd	⊢ ( ( 𝜑 ∧ 𝜓 ) → ( 𝜑 ∨ 𝜒 ) )