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 ∪ { ∞ } ) |