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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 8062 | 
. 2
 | |
| 2 | cxr 8060 | 
. . . 4
 | |
| 3 | 2, 2 | cxp 4661 | 
. . 3
 | 
| 4 | clt 8061 | 
. . . 4
 | |
| 5 | 4 | ccnv 4662 | 
. . 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 8089 xrlenlt 8091 | 
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