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Mirrors > Home > MPE Home > Th. List > df-le | Unicode version |
Description: Define 'less than or equal to' on the extended real subset of complex numbers. Theorem leloe 9692 relates it to 'less than' for reals. (Contributed by NM, 13-Oct-2005.) |
Ref | Expression |
---|---|
df-le |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cle 9650 | . 2 | |
2 | cxr 9648 | . . . 4 | |
3 | 2, 2 | cxp 5002 | . . 3 |
4 | clt 9649 | . . . 4 | |
5 | 4 | ccnv 5003 | . . 3 |
6 | 3, 5 | cdif 3472 | . 2 |
7 | 1, 6 | wceq 1395 | 1 |
Colors of variables: wff setvar class |
This definition is referenced by: lerelxr 9671 xrlenlt 9673 leiso 12508 gtiso 27519 |
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