Definition df-bj-zzbar 37242

Description: Definition of the extended integers. (Contributed by BJ, 28-Jul-2023.)

Assertion

Ref	Expression
df-bj-zzbar	⊢ ℤ̅ = (ℤ ∪ {-∞, +∞})

Detailed syntax breakdown of Definition df-bj-zzbar

Step	Hyp	Ref	Expression
1		czzbar 37241	. 2 class ℤ̅
2		cz 12609	. . 3 class ℤ
3		cminfty 37202	. . . 4 class -∞
4		cpinfty 37198	. . . 4 class +∞
5	3, 4	cpr 4626	. . 3 class {-∞, +∞}
6	2, 5	cun 3948	. 2 class (ℤ ∪ {-∞, +∞})
7	1, 6	wceq 1540	1 wff ℤ̅ = (ℤ ∪ {-∞, +∞})

This definition is referenced by: (None)