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| Mirrors > Home > MPE Home > Th. List > 1lt2 | Structured version Visualization version GIF version | ||
| Description: 1 is less than 2. (Contributed by NM, 24-Feb-2005.) |
| Ref | Expression |
|---|---|
| 1lt2 | ⊢ 1 < 2 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | 1re 11261 | . . 3 ⊢ 1 ∈ ℝ | |
| 2 | 1 | ltp1i 12172 | . 2 ⊢ 1 < (1 + 1) |
| 3 | df-2 12329 | . 2 ⊢ 2 = (1 + 1) | |
| 4 | 2, 3 | breqtrri 5170 | 1 ⊢ 1 < 2 |
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