Theorem sepimorr-P4.9c.CL 414

Description: Closed Form of sepimorr-P4.9c 412.

Assertion

Ref	Expression
sepimorr-P4.9c.CL	⊢ ((𝜑 → (𝜓 ∨ 𝜒)) → ((𝜑 → 𝜓) ∨ (𝜑 → 𝜒)))

Proof of Theorem sepimorr-P4.9c.CL

Step	Hyp	Ref	Expression
1		rcp-NDASM1of1 192	. 2 ⊢ ((𝜑 → (𝜓 ∨ 𝜒)) → (𝜑 → (𝜓 ∨ 𝜒)))
2	1	sepimorr-P4.9c 412	1 ⊢ ((𝜑 → (𝜓 ∨ 𝜒)) → ((𝜑 → 𝜓) ∨ (𝜑 → 𝜒)))

Syntax hints:   → wff-imp 10   ∨ 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  df-rcp-AND3 161

This theorem is referenced by:  imoveror-P4.29b  474