ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  df-n0 Structured version   GIF version

Definition df-n0 7958
Description: Define the set of nonnegative integers. (Contributed by Raph Levien, 10-Dec-2002.)
Assertion
Ref Expression
df-n0 0 = (ℕ ∪ {0})

Detailed syntax breakdown of Definition df-n0
StepHypRef Expression
1 cn0 7957 . 2 class 0
2 cn 7695 . . 3 class
3 cc0 6711 . . . 4 class 0
43csn 3367 . . 3 class {0}
52, 4cun 2909 . 2 class (ℕ ∪ {0})
61, 5wceq 1242 1 wff 0 = (ℕ ∪ {0})
Colors of variables: wff set class
This definition is referenced by:  elnn0  7959  nnssnn0  7960  nn0ssre  7961  nn0ex  7963  dfn2  7970  nn0addcl  7993  nn0mulcl  7994  nn0ssz  8039
  Copyright terms: Public domain W3C validator