Definition df-n0 11563

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 11562	. 2 class ℕ0
2		cn 11308	. . 3 class ℕ
3		cc0 10224	. . . 4 class 0
4	3	csn 4377	. . 3 class {0}
5	2, 4	cun 3774	. 2 class (ℕ ∪ {0})
6	1, 5	wceq 1637	1 wff ℕ0 = (ℕ ∪ {0})

This definition is referenced by:  elnn0  11564  nnssnn0  11565  nn0ssre  11566  nn0ex  11568  dfn2  11575  nn0addcl  11597  nn0mulcl  11598  nn0ssz  11667  dvdsprmpweqnn  15809  cply1coe0bi  19881  m2cpminvid2lem  20776  pmatcollpw3fi1  20810  dfrtrcl4  38531  corcltrcl  38532  cotrclrcl  38535