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| Mirrors > Home > Home > Th. List > gt-zero-ref | |||
| Description: Refutation of any natural number less than zero. (Contributed by la korvo, 21-Jun-2024.) |
| Ref | Expression |
|---|---|
| gt-zero-ref.0 | ⊢ ko'a kacme'a li no |
| Ref | Expression |
|---|---|
| gt-zero-ref | ⊢ gai'o |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ax-gt-zero 615 | . 2 ⊢ naku ko'a kacme'a li no | |
| 2 | gt-zero-ref.0 | . 2 ⊢ ko'a kacme'a li no | |
| 3 | 1, 2 | nakuii 278 | 1 ⊢ gai'o |
| Colors of variables: sumti selbri bridi |
| Syntax hints: kacme'a bkacmeha 614 |
| This theorem was proved from axioms: ax-mp 10 ax-ge-le 48 ax-gt-zero 615 |
| This theorem depends on definitions: df-go 83 df-naku 273 |
| This theorem is referenced by: (None) |
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