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 ⊢ ℝ ^ = ℝ ∪ ∞

Detailed syntax breakdown

Step Hyp Ref Expression
0 crrhat class ℝ ^
1 cr class ℝ
2 cinfty class ∞
3 2 csn class ∞
4 1 3 cun class ℝ ∪ ∞
5 0 4 wceq wff ℝ ^ = ℝ ∪ ∞