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| Mirrors > Home > ILE Home > Th. List > df-le | Unicode version | ||
| Description: Define 'less than or equal to' on the extended real subset of complex numbers. (Contributed by NM, 13-Oct-2005.) |
| Ref | Expression |
|---|---|
| df-le |
|
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cle 8079 |
. 2
| |
| 2 | cxr 8077 |
. . . 4
| |
| 3 | 2, 2 | cxp 4662 |
. . 3
|
| 4 | clt 8078 |
. . . 4
| |
| 5 | 4 | ccnv 4663 |
. . 3
|
| 6 | 3, 5 | cdif 3154 |
. 2
|
| 7 | 1, 6 | wceq 1364 |
1
|
| Colors of variables: wff set class |
| This definition is referenced by: lerelxr 8106 xrlenlt 8108 |
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