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 
|- CCfld e. TopSp

Proof

Step Hyp Ref Expression
1 cnfldms 
 |-  CCfld e. MetSp
2 mstps 
 |-  ( CCfld e. MetSp -> CCfld e. TopSp )
3 1 2 ax-mp 
 |-  CCfld e. TopSp