Theorem simpr-L2.2b 97

Description: Right Simplification Lemma.

Assertion

Ref	Expression
simpr-L2.2b	⊢ (¬ (𝜑 → ¬ 𝜓) → 𝜓)

Proof of Theorem simpr-L2.2b

Step	Hyp	Ref	Expression
1		id-P1.4 36	. . 3 ⊢ (𝜓 → 𝜓)
2	1	axL1.SH 30	. 2 ⊢ (𝜑 → (𝜓 → 𝜓))
3	2	import-L2.1a.SH 92	1 ⊢ (¬ (𝜑 → ¬ 𝜓) → 𝜓)

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:  simpr-L2.2b.SH  98  birev-P2.5b  115  simpr-P2.9b  136