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Definition df-xnn0 11626
Description: Define the set of extended nonnegative integers that includes positive infinity. Analogue of the extension of the real numbers *, see df-xr 10359. (Contributed by AV, 10-Dec-2020.)
Assertion
Ref Expression
df-xnn0 0* = (ℕ0 ∪ {+∞})

Detailed syntax breakdown of Definition df-xnn0
StepHypRef Expression
1 cxnn0 11625 . 2 class 0*
2 cn0 11555 . . 3 class 0
3 cpnf 10352 . . . 4 class +∞
43csn 4370 . . 3 class {+∞}
52, 4cun 3767 . 2 class (ℕ0 ∪ {+∞})
61, 5wceq 1637 1 wff 0* = (ℕ0 ∪ {+∞})
Colors of variables: wff setvar class
This definition is referenced by:  elxnn0  11627  nn0ssxnn0  11628  hashfxnn0  13340  hashf  13341
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