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| Mirrors > Home > MPE Home > Th. List > Mathboxes > axfrege41 | Structured version Visualization version GIF version | ||
| Description: Identical to notnot 142. Axiom 41 of [Frege1879] p. 47. (Contributed by RP, 24-Dec-2019.) | 
| Ref | Expression | 
|---|---|
| axfrege41 | ⊢ (𝜑 → ¬ ¬ 𝜑) | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | notnot 142 | 1 ⊢ (𝜑 → ¬ ¬ 𝜑) | 
| Colors of variables: wff setvar class | 
| Syntax hints: ¬ wn 3 → wi 4 | 
| This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 | 
| This theorem is referenced by: (None) | 
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