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| Mirrors > Home > MPE Home > Th. List > Mathboxes > notnotrALT2 | Structured version Visualization version GIF version | ||
| Description: Converse of double negation. Theorem *2.14 of [WhiteheadRussell] p. 102. Proof derived by completeusersproof.c from User's Proof in VirtualDeductionProofs.txt. (Contributed by Alan Sare, 11-Sep-2016.) (Proof modification is discouraged.) (New usage is discouraged.) |
| Ref | Expression |
|---|---|
| notnotrALT2 | ⊢ (¬ ¬ 𝜑 → 𝜑) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | notnotr 130 | 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) |
| Copyright terms: Public domain | W3C validator |