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| Mirrors > Home > MPE Home > Th. List > 2pos | Structured version Visualization version GIF version | ||
| Description: The number 2 is positive. (Contributed by NM, 27-May-1999.) |
| Ref | Expression |
|---|---|
| 2pos | ⊢ 0 < 2 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | 1re 11261 | . . 3 ⊢ 1 ∈ ℝ | |
| 2 | 0lt1 11785 | . . 3 ⊢ 0 < 1 | |
| 3 | 1, 1, 2, 2 | addgt0ii 11805 | . 2 ⊢ 0 < (1 + 1) |
| 4 | df-2 12329 | . 2 ⊢ 2 = (1 + 1) | |
| 5 | 3, 4 | breqtrri 5170 | 1 ⊢ 0 < 2 |
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