Definition df-n0 11331

Description: Define the set of nonnegative integers. (Contributed by Raph Levien, 10-Dec-2002.)

Assertion

Ref	Expression
df-n0	⊢ ℕ0 = (ℕ ∪ {0})

Detailed syntax breakdown of Definition df-n0

Step	Hyp	Ref	Expression
1		cn0 11330	. 2 class ℕ0
2		cn 11058	. . 3 class ℕ
3		cc0 9974	. . . 4 class 0
4	3	csn 4210	. . 3 class {0}
5	2, 4	cun 3605	. 2 class (ℕ ∪ {0})
6	1, 5	wceq 1523	1 wff ℕ0 = (ℕ ∪ {0})

This definition is referenced by:  elnn0  11332  nnssnn0  11333  nn0ssre  11334  nn0ex  11336  dfn2  11343  nn0addcl  11366  nn0mulcl  11367  nn0ssz  11436  dvdsprmpweqnn  15636  cply1coe0bi  19718  m2cpminvid2lem  20607  pmatcollpw3fi1  20641  dfrtrcl4  38347  corcltrcl  38348  cotrclrcl  38351