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