compRightAlgHom_continuous — Mathlib

English

The map taking a continuous map f: C(α,β) to the right- precomposition AlgHom is continuous, i.e., Continuous (compRightAlgHom_R_A_f).

Русский

Отображение, сопоставляющее непростой карте f право предкомпозицию, является непрерывным: Continuous (compRightAlgHom_R_A_f).

LaTeX

$$$\\text{compRightAlgHom\_contiguous}(f) : Continuous(\\mathrm{compRightAlgHom}(R,A,f)).$$$

Lean4

theorem compRightAlgHom_continuous {α β : Type*} [TopologicalSpace α] [TopologicalSpace β] (f : C(α, β)) :
    Continuous (compRightAlgHom R A f) :=
  continuous_precomp f

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