Metamath Proof Explorer


Theorem cnfldxms

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

Ref Expression
Assertion cnfldxms fld ∈ ∞MetSp

Proof

Step Hyp Ref Expression
1 cnfldms fld ∈ MetSp
2 msxms ( ℂfld ∈ MetSp → ℂfld ∈ ∞MetSp )
3 1 2 ax-mp fld ∈ ∞MetSp