Definition df-le 5503

Description: Define 'less than or equal to' on the extended real subset of complex numbers. Theorem leloet 5530 relates it to 'less than' for reals.

Assertion

Ref	Expression
df-le	|- <_ = ((RR* X. RR*) \ `' < )

Detailed syntax breakdown of Definition df-le

Step	Hyp	Ref	Expression
1		cle 5307	. 2 class <_
2		cxr 5497	. . . 4 class RR*
3	2, 2	cxp 3174	. . 3 class (RR* X. RR*)
4		clt 5498	. . . 4 class <
5	4	ccnv 3175	. . 3 class `' <
6	3, 5	cdif 2047	. 2 class ((RR* X. RR*) \ `' < )
7	1, 6	wceq 958	1 wff <_ = ((RR* X. RR*) \ `' < )

This definition is referenced by:  xrlenltt 5513

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