Description: Conjunction implies disjunction with one common formula (1/4). (Contributed by BJ, 4-Oct-2019)
Ref | Expression | ||
---|---|---|---|
Assertion | animorl | ⊢ ( ( 𝜑 ∧ 𝜓 ) → ( 𝜑 ∨ 𝜒 ) ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simpl | ⊢ ( ( 𝜑 ∧ 𝜓 ) → 𝜑 ) | |
2 | 1 | orcd | ⊢ ( ( 𝜑 ∧ 𝜓 ) → ( 𝜑 ∨ 𝜒 ) ) |