Description: Obsolete version of 0le2 as of 10-Jun-2026. (Contributed by David A. Wheeler, 7-Dec-2018) (Proof modification is discouraged.) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | 0le2OLD | ⊢ 0 ≤ 2 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | 0le1 | ⊢ 0 ≤ 1 | |
| 2 | 1re | ⊢ 1 ∈ ℝ | |
| 3 | 2 2 | addge0i | ⊢ ( ( 0 ≤ 1 ∧ 0 ≤ 1 ) → 0 ≤ ( 1 + 1 ) ) |
| 4 | 1 1 3 | mp2an | ⊢ 0 ≤ ( 1 + 1 ) |
| 5 | df-2 | ⊢ 2 = ( 1 + 1 ) | |
| 6 | 4 5 | breqtrri | ⊢ 0 ≤ 2 |