English
If F is a class of continuous semilinear equivalences between topological modules, then it automatically forms a class of continuous semilinear maps for the same data.
Русский
Если F — это класс непрерывных полускалярных эквивалентностей между топологическими модулем, то он автоматически образует класс непрерывных полевых отображений с теми же данными.
LaTeX
$$$\text{ContinuousSemilinearMapClass } F \; \sigma \; M \; M_2$$$
Lean4
/-- `ContinuousLinearEquivClass F σ M M₂` asserts `F` is a type of bundled continuous
`R`-linear equivs `M → M₂`. This is an abbreviation for
`ContinuousSemilinearEquivClass F (RingHom.id R) M M₂`. -/
abbrev ContinuousLinearEquivClass (F : Type*) (R : outParam Type*) [Semiring R] (M : outParam Type*)
[TopologicalSpace M] [AddCommMonoid M] (M₂ : outParam Type*) [TopologicalSpace M₂] [AddCommMonoid M₂] [Module R M]
[Module R M₂] [EquivLike F M M₂] :=
ContinuousSemilinearEquivClass F (RingHom.id R) M M₂
