Definition df-n0 12372

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 12371	. 2 class ℕ0
2		cn 12111	. . 3 class ℕ
3		cc0 11009	. . . 4 class 0
4	3	csn 4584	. . 3 class {0}
5	2, 4	cun 3906	. 2 class (ℕ ∪ {0})
6	1, 5	wceq 1541	1 wff ℕ0 = (ℕ ∪ {0})

This definition is referenced by:  elnn0  12373  nnssnn0  12374  nn0ssre  12375  nn0sscn  12376  nn0ex  12377  dfn2  12384  nn0addcl  12406  nn0mulcl  12407  nn0ssz  12480  dvdsprmpweqnn  16717  cply1coe0bi  21623  m2cpminvid2lem  22055  pmatcollpw3fi1  22089  dfrtrcl4  41921  corcltrcl  41922  cotrclrcl  41925