Metamath Proof Explorer


Theorem cnfldtps

Description: The complex number field is a topological space. (Contributed by Mario Carneiro, 28-Aug-2015)

Ref Expression
Assertion cnfldtps ℂfld ∈ TopSp

Proof

Step Hyp Ref Expression
1 cnfldms ⊢ ℂfld ∈ MetSp
2 mstps ⊢ ( ℂfld ∈ MetSp → ℂfld ∈ TopSp )
3 1 2 ax-mp ⊢ ℂfld ∈ TopSp