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Theorem notnoti 144

Description: Inference associated with notnot 143. (Contributed by NM, 27-Feb-2008.)

**Hypothesis**
Ref	Expression
notnoti.1	⊢ 𝜑

**Assertion**
Ref	Expression
notnoti	⊢ ¬ ¬ 𝜑

**Proof of Theorem notnoti**
Step	Hyp	Ref	Expression
1		notnoti.1	. 2 ⊢ 𝜑
2		notnot 143	. 2 ⊢ (𝜑 → ¬ ¬ 𝜑)
3	1, 2	ax-mp 5	1 ⊢ ¬ ¬ 𝜑

Colors of variables: wff setvar class

This proof depends on syntax axioms: ¬ wn 3

This proof depends on axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8

This theorem is used by: nbn3 376 fal 1584 ax6dgen 2165 dfnul2 4282 nrelv 5780 mdegleb 26290 nexntru 37024 bj-ntrufal 37271 ifpdfan2 44304 rext0 45762 aisbnaxb 47800