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

Definition df-ni 6402
Description: Define the class of positive integers. This is a "temporary" set used in the construction of complex numbers, and is intended to be used only by the construction. (Contributed by NM, 15-Aug-1995.)
Assertion
Ref Expression
df-ni N = (ω ∖ {∅})

Detailed syntax breakdown of Definition df-ni
StepHypRef Expression
1 cnpi 6370 . 2 class N
2 com 4313 . . 3 class ω
3 c0 3224 . . . 4 class
43csn 3375 . . 3 class {∅}
52, 4cdif 2914 . 2 class (ω ∖ {∅})
61, 5wceq 1243 1 wff N = (ω ∖ {∅})
Colors of variables: wff set class
This definition is referenced by:  elni  6406  pinn  6407  niex  6410  dmaddpi  6423  dmmulpi  6424
  Copyright terms: Public domain W3C validator