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 
|- CCfld e. *MetSp

Proof

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