ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  df-le Structured version   GIF version

Definition df-le 6843
Description: Define 'less than or equal to' on the extended real subset of complex numbers. (Contributed by NM, 13-Oct-2005.)
Assertion
Ref Expression
df-le ≤ = ((ℝ* × ℝ*) ∖ < )

Detailed syntax breakdown of Definition df-le
StepHypRef Expression
1 cle 6838 . 2 class
2 cxr 6836 . . . 4 class *
32, 2cxp 4286 . . 3 class (ℝ* × ℝ*)
4 clt 6837 . . . 4 class <
54ccnv 4287 . . 3 class <
63, 5cdif 2908 . 2 class ((ℝ* × ℝ*) ∖ < )
71, 6wceq 1242 1 wff ≤ = ((ℝ* × ℝ*) ∖ < )
Colors of variables: wff set class
This definition is referenced by:  lerelxr  6859  xrlenlt  6861
  Copyright terms: Public domain W3C validator