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Definition df-n0 9115
Description: Define the set of nonnegative integers. (Contributed by Raph Levien, 10-Dec-2002.)
Assertion
Ref Expression
df-n0 0 = (ℕ ∪ {0})

Detailed syntax breakdown of Definition df-n0
StepHypRef Expression
1 cn0 9114 . 2 class 0
2 cn 8857 . . 3 class
3 cc0 7753 . . . 4 class 0
43csn 3576 . . 3 class {0}
52, 4cun 3114 . 2 class (ℕ ∪ {0})
61, 5wceq 1343 1 wff 0 = (ℕ ∪ {0})
Colors of variables: wff set class
This definition is referenced by:  elnn0  9116  nnssnn0  9117  nn0ssre  9118  nn0ex  9120  dfn2  9127  nn0addcl  9149  nn0mulcl  9150  nn0ssz  9209  dvdsprmpweqnn  12267
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