Metamath Proof Explorer

Theorem tlmtps

Description: A topological module is a topological space. (Contributed by Mario Carneiro, 5-Oct-2015)

Ref Expression
Assertion tlmtps ⊢W∈TopMod→W∈TopSp

Proof

Step Hyp Ref Expression
1 tlmtmd ⊢W∈TopMod→W∈TopMnd
2 tmdtps ⊢W∈TopMnd→W∈TopSp
3 1 2 syl ⊢W∈TopMod→W∈TopSp