English
If R is a topological ring and M a topological AddGroup with compatible structure, then tsze R M is a topological ring.
Русский
Если R — топологическое кольцо, а M — топологическая абелёва группа с совместимой структурой, то tsze R M — топологическое кольцо.
LaTeX
$$$\\operatorname{IsTopologicalRing}(\\mathrm{tsze}(R,M))$$$
Lean4
instance [Ring R] [AddCommGroup M] [Module R M] [Module Rᵐᵒᵖ M] [IsTopologicalRing R] [IsTopologicalAddGroup M]
[ContinuousSMul R M] [ContinuousSMul Rᵐᵒᵖ M] : IsTopologicalRing (tsze R M) where