Definition df-n0 11142

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 11141	. 2 class ℕ0
2		cn 10869	. . 3 class ℕ
3		cc0 9792	. . . 4 class 0
4	3	csn 4124	. . 3 class {0}
5	2, 4	cun 3537	. 2 class (ℕ ∪ {0})
6	1, 5	wceq 1474	1 wff ℕ0 = (ℕ ∪ {0})

This definition is referenced by:  elnn0  11143  nnssnn0  11144  nn0ssre  11145  nn0ex  11147  dfn2  11154  nn0addcl  11177  nn0mulcl  11178  nn0ssz  11233  dvdsprmpweqnn  15375  cply1coe0bi  19439  m2cpminvid2lem  20325  pmatcollpw3fi1  20359  dfrtrcl4  36832  corcltrcl  36833  cotrclrcl  36836