closedBall — Mathlib

English

The closed ball defined via ArchimedeanClass submodule corresponds to the closed ball AddSubgroup carrier.

Русский

Замкнутая шарa, определяемая через подмодуль ArchimedeanClass, имеет carrier замкнутой шаровой подгруппы.

LaTeX

$$$\text{closedBall } K c = \text{closedBallAddSubgroup } c$$$

Lean4

/-- A closed ball defined by `ArchimedeanClass.submodule` of `UpperSet.Ici c`.

This has the same carrier as `ArchimedeanClass.closedBallAddSubgroup`'s. -/
noncomputable abbrev closedBall (c : ArchimedeanClass M) :=
  submodule K (UpperSet.Ici c)

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