Description: Define the real projective line. (Contributed by BJ, 27-Jun-2019)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | df-bj-rrhat | ⊢ ℝ̂ = ( ℝ ∪ { ∞ } ) |
| 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 ∪ { ∞ } ) |