Theorem simpl-L2.2a.SH 96

Description: Inference from simpl-L2.2a 95.

Hypothesis

Ref	Expression
simpl-L2.2a.SH.1	⊢ ¬ (𝜑 → ¬ 𝜓)

Assertion

Ref	Expression
simpl-L2.2a.SH	⊢ 𝜑

Proof of Theorem simpl-L2.2a.SH

Step	Hyp	Ref	Expression
1		simpl-L2.2a.SH.1	. 2 ⊢ ¬ (𝜑 → ¬ 𝜓)
2		simpl-L2.2a 95	. 2 ⊢ (¬ (𝜑 → ¬ 𝜓) → 𝜑)
3	1, 2	ax-MP 14	1 ⊢ 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:  mbifwd-P2.1a  101  dfbionlyif-P2.3b  109