English
The product of two topological additive torsors is a topological additive torsor under the product group, with continuous_vadd and continuous_vsub defined coordinatewise.
Русский
Произведение двух топологических аддитивных торсоров образует топологический аддитивный торсор под произведением групп, с координатно заданными непрерывными действием и обратным действием.
LaTeX
$$$IsTopologicalAddTorsor((P, Q))$ with the product topology and the product action$$
Lean4
/-- Multiplication from the right in a topological group as a homeomorphism. -/
@[to_additive /-- Addition from the right in a topological additive group as a homeomorphism. -/
]
protected def mulRight (a : G) : G ≃ₜ G :=
{ Equiv.mulRight a with
continuous_toFun := continuous_id.mul continuous_const
continuous_invFun := continuous_id.mul continuous_const }
