Theorem sepimorl-P4.9b.CL 411

Description: Closed Form of sepimorl-P4.9b 409. †

Assertion

Ref	Expression
sepimorl-P4.9b.CL	⊢ (((𝜑 ∨ 𝜓) → 𝜒) → ((𝜑 → 𝜒) ∧ (𝜓 → 𝜒)))

Proof of Theorem sepimorl-P4.9b.CL

Step	Hyp	Ref	Expression
1		rcp-NDASM1of1 192	. 2 ⊢ (((𝜑 ∨ 𝜓) → 𝜒) → ((𝜑 ∨ 𝜓) → 𝜒))
2	1	sepimorl-P4.9b 409	1 ⊢ (((𝜑 ∨ 𝜓) → 𝜒) → ((𝜑 → 𝜒) ∧ (𝜓 → 𝜒)))

Syntax hints:   → wff-imp 10   ∧ wff-and 132   ∨ wff-or 144

This theorem was proved from axioms:  ax-L1 11  ax-L2 12  ax-L3 13  ax-MP 14

This theorem depends on definitions:  df-bi-D2.1 107  df-and-D2.2 133  df-or-D2.3 145  df-true-D2.4 155

This theorem is referenced by:  rimoveror-P4.31b  482