Metamath Proof Explorer


Definition df-bj-cchat

Description: Define the complex projective line, or Riemann sphere. (Contributed by BJ, 27-Jun-2019)

Ref Expression
Assertion df-bj-cchat ℂ̂ = ( ℂ ∪ { ∞ } )

Detailed syntax breakdown

Step Hyp Ref Expression
0 ccchat ⊢ ℂ̂
1 cc ⊢ ℂ
2 cinfty ⊢ ∞
3 2 csn ⊢ { ∞ }
4 1 3 cun ⊢ ( ℂ ∪ { ∞ } )
5 0 4 wceq ⊢ ℂ̂ = ( ℂ ∪ { ∞ } )