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Definition df-le 10118
Description: Define 'less than or equal to' on the extended real subset of complex numbers. Theorem leloe 10162 relates it to 'less than' for reals. (Contributed by NM, 13-Oct-2005.)
Assertion
Ref Expression
df-le ≤ = ((ℝ* × ℝ*) ∖ < )

Detailed syntax breakdown of Definition df-le
StepHypRef Expression
1 cle 10113 . 2 class
2 cxr 10111 . . . 4 class *
32, 2cxp 5141 . . 3 class (ℝ* × ℝ*)
4 clt 10112 . . . 4 class <
54ccnv 5142 . . 3 class <
63, 5cdif 3604 . 2 class ((ℝ* × ℝ*) ∖ < )
71, 6wceq 1523 1 wff ≤ = ((ℝ* × ℝ*) ∖ < )
Colors of variables: wff setvar class
This definition is referenced by:  lerelxr  10139  xrlenlt  10141  leiso  13281  gtiso  29606
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