Theorem simpl-L2.2a 95

Description: Left Simplification Lemma.

Assertion

Ref	Expression
simpl-L2.2a	⊢ (¬ (𝜑 → ¬ 𝜓) → 𝜑)

Proof of Theorem simpl-L2.2a

Step	Hyp	Ref	Expression
1		ax-L1 11	. 2 ⊢ (𝜑 → (𝜓 → 𝜑))
2	1	import-L2.1a.SH 92	1 ⊢ (¬ (𝜑 → ¬ 𝜓) → 𝜑)

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:  simpl-L2.2a.SH  96  bifwd-P2.5a  111  simpl-P2.9a  134