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Definition df-le 8873
Description: Define 'less than or equal to' on the extended real subset of complex numbers. Theorem leloe 8908 relates it to 'less than' for reals. (Contributed by NM, 13-Oct-2005.)
Assertion
Ref Expression
df-le  |-  <_  =  ( ( RR*  X.  RR* )  \  `'  <  )

Detailed syntax breakdown of Definition df-le
StepHypRef Expression
1 cle 8868 . 2  class  <_
2 cxr 8866 . . . 4  class  RR*
32, 2cxp 4687 . . 3  class  ( RR*  X. 
RR* )
4 clt 8867 . . . 4  class  <
54ccnv 4688 . . 3  class  `'  <
63, 5cdif 3149 . 2  class  ( (
RR*  X.  RR* )  \  `'  <  )
71, 6wceq 1623 1  wff  <_  =  ( ( RR*  X.  RR* )  \  `'  <  )
Colors of variables: wff set class
This definition is referenced by:  lerelxr  8888  xrlenlt  8890  leiso  11397  gtiso  23241
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