Description: The complex number field is a topological space. (Contributed by Mario Carneiro, 28-Aug-2015)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | cnfldtps | ⊢ ℂfld ∈ TopSp |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cnfldms | ⊢ ℂfld ∈ MetSp | |
| 2 | mstps | ⊢ ( ℂfld ∈ MetSp → ℂfld ∈ TopSp ) | |
| 3 | 1 2 | ax-mp | ⊢ ℂfld ∈ TopSp |