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Metamath Proof Explorer

Theorem notnotri

Description: Inference associated with notnotr . For a shorter proof using ax-2 , see notnotriALT . (Contributed by NM, 27-Feb-2008) (Proof shortened by Wolf Lammen, 15-Jul-2021) Remove dependency on ax-2 . (Revised by Steven Nguyen, 27-Dec-2022)

		Ref	Expression
	Hypothesis	notnotri.1	⊢ ¬ ¬ 𝜑
	Assertion	notnotri	⊢ 𝜑

Proof

Step	Hyp	Ref	Expression
1		notnotri.1	⊢ ¬ ¬ 𝜑
2	1	pm2.21i	⊢ ( ¬ 𝜑 → ¬ ¬ ¬ 𝜑 )
3	1 2	mt4	⊢ 𝜑