Definition df-n0 9295

Description: Define the set of nonnegative integers. (Contributed by Raph Levien, 10-Dec-2002.)

Assertion

Ref	Expression
df-n0	|- NN0 = ( NN u. { 0 } )

Detailed syntax breakdown of Definition df-n0

Step	Hyp	Ref	Expression
1		cn0 9294	. 2 class NN0
2		cn 9035	. . 3 class NN
3		cc0 7924	. . . 4 class 0
4	3	csn 3632	. . 3 class { 0 }
5	2, 4	cun 3163	. 2 class ( NN u. { 0 } )
6	1, 5	wceq 1372	1 wff NN0 = ( NN u. { 0 } )

This definition is referenced by:  elnn0  9296  nnssnn0  9297  nn0ssre  9298  nn0ex  9300  dfn2  9307  nn0addcl  9329  nn0mulcl  9330  nn0ssz  9389  dvdsprmpweqnn  12601