Metamath Proof Explorer


Definition df-bj-rrhat

Description: Define the real projective line. (Contributed by BJ, 27-Jun-2019)

Ref Expression
Assertion df-bj-rrhat ℝ̂ = ( ℝ ∪ { ∞ } )

Detailed syntax breakdown

Step Hyp Ref Expression
0 crrhat ⊢ ℝ̂
1 cr ⊢ ℝ
2 cinfty ⊢ ∞
3 2 csn ⊢ { ∞ }
4 1 3 cun ⊢ ( ℝ ∪ { ∞ } )
5 0 4 wceq ⊢ ℝ̂ = ( ℝ ∪ { ∞ } )