Theorem export-L2.1b.SH 94

Description: Inference from export-L2.1b 93.

Hypothesis

Ref	Expression
export-L2.1b.SH.1	⊢ (¬ (𝜑 → ¬ 𝜓) → 𝜒)

Assertion

Ref	Expression
export-L2.1b.SH	⊢ (𝜑 → (𝜓 → 𝜒))

Proof of Theorem export-L2.1b.SH

Step	Hyp	Ref	Expression
1		export-L2.1b.SH.1	. 2 ⊢ (¬ (𝜑 → ¬ 𝜓) → 𝜒)
2		export-L2.1b 93	. 2 ⊢ ((¬ (𝜑 → ¬ 𝜓) → 𝜒) → (𝜑 → (𝜓 → 𝜒)))
3	1, 2	ax-MP 14	1 ⊢ (𝜑 → (𝜓 → 𝜒))

Syntax hints:  ¬ wff-neg 9   → wff-imp 10

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

This theorem is referenced by:  cmb-L2.3  99