Metamath Proof Explorer


Definition df-bj-ccbar

Description: Definition of the set of extended complex numbers CCbar . (Contributed by BJ, 22-Jun-2019)

Ref Expression
Assertion df-bj-ccbar ℂ̅ = ( ℂ ∪ ℂ∞ )

Detailed syntax breakdown

Step Hyp Ref Expression
0 cccbar ⊢ ℂ̅
1 cc ⊢ ℂ
2 cccinfty ⊢ ℂ∞
3 1 2 cun ⊢ ( ℂ ∪ ℂ∞ )
4 0 3 wceq ⊢ ℂ̅ = ( ℂ ∪ ℂ∞ )