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Mathbox for Jim Kingdon |
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| Mirrors > Home > ILE Home > Th. List > Mathboxes > nnnotnotr | Unicode version | ||
| Description: Double negation of double negation elimination. Suggested by an online post by Martin Escardo. Although this statement resembles nnexmid 851, it can be proved with reference only to implication and negation (that is, without use of disjunction). (Contributed by Jim Kingdon, 21-Oct-2024.) |
| Ref | Expression |
|---|---|
| nnnotnotr |
  
   |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | conax1 654 |
. 2
| |
| 2 | pm2.24 622 |
. . 3
| |
| 3 | 2 | con3i 633 |
. 2
|
| 4 | 1, 3 | pm2.65i 640 |
1
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| Colors of variables: wff set class |
| Syntax hints: wn 3
wi 4 |
| This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-in1 615 ax-in2 616 |
| This theorem is referenced by: (None) |
| Copyright terms: Public domain | W3C validator |