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| Mirrors > Home > MPE Home > Th. List > ax-1ne0 | Structured version Visualization version GIF version | ||
| Description: 1 and 0 are distinct. Axiom 13 of 22 for real and complex numbers, justified by Theorem ax1ne0 11200. (Contributed by NM, 29-Jan-1995.) |
| Ref | Expression |
|---|---|
| ax-1ne0 | ⊢ 1 ≠ 0 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | c1 11156 | . 2 class 1 | |
| 2 | cc0 11155 | . 2 class 0 | |
| 3 | 1, 2 | wne 2940 | 1 wff 1 ≠ 0 |
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