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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 10441 | . . 3 ⊢ 1 ∈ ℝ | |
2 | 0lt1 10965 | . . 3 ⊢ 0 < 1 | |
3 | 1, 1, 2, 2 | addgt0ii 10985 | . 2 ⊢ 0 < (1 + 1) |
4 | df-2 11506 | . 2 ⊢ 2 = (1 + 1) | |
5 | 3, 4 | breqtrri 4957 | 1 ⊢ 0 < 2 |
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