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 e. RR |
|
| 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 |