MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  df-ni Structured version   Visualization version   GIF version

Definition df-ni 10763
Description: Define the class of positive integers. This is a "temporary" set used in the construction of complex numbers df-c 11012, and is intended to be used only by the construction. (Contributed by NM, 15-Aug-1995.) (New usage is discouraged.)
Assertion
Ref Expression
df-ni N = (ω ∖ {∅})

Detailed syntax breakdown of Definition df-ni
StepHypRef Expression
1 cnpi 10735 . 2 class N
2 com 7796 . . 3 class ω
3 c0 4280 . . . 4 class
43csn 4573 . . 3 class {∅}
52, 4cdif 3894 . 2 class (ω ∖ {∅})
61, 5wceq 1541 1 wff N = (ω ∖ {∅})
Colors of variables: wff setvar class
This definition is referenced by:  elni  10767  pinn  10769  niex  10772  ltsopi  10779  dmaddpi  10781  dmmulpi  10782  wuncn  11061
  Copyright terms: Public domain W3C validator