Definition df-n0 12470

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 12469	. 2 class ℕ0
2		cn 12209	. . 3 class ℕ
3		cc0 11107	. . . 4 class 0
4	3	csn 4628	. . 3 class {0}
5	2, 4	cun 3946	. 2 class (ℕ ∪ {0})
6	1, 5	wceq 1542	1 wff ℕ0 = (ℕ ∪ {0})

This definition is referenced by:  elnn0  12471  nnssnn0  12472  nn0ssre  12473  nn0sscn  12474  nn0ex  12475  dfn2  12482  nn0addcl  12504  nn0mulcl  12505  nn0ssz  12578  dvdsprmpweqnn  16815  cply1coe0bi  21816  m2cpminvid2lem  22248  pmatcollpw3fi1  22282  dfrtrcl4  42475  corcltrcl  42476  cotrclrcl  42479