Definition df-n0 11293

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 11292	. 2 class ℕ0
2		cn 11020	. . 3 class ℕ
3		cc0 9936	. . . 4 class 0
4	3	csn 4177	. . 3 class {0}
5	2, 4	cun 3572	. 2 class (ℕ ∪ {0})
6	1, 5	wceq 1483	1 wff ℕ0 = (ℕ ∪ {0})

This definition is referenced by:  elnn0  11294  nnssnn0  11295  nn0ssre  11296  nn0ex  11298  dfn2  11305  nn0addcl  11328  nn0mulcl  11329  nn0ssz  11398  dvdsprmpweqnn  15589  cply1coe0bi  19670  m2cpminvid2lem  20559  pmatcollpw3fi1  20593  dfrtrcl4  38030  corcltrcl  38031  cotrclrcl  38034