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