closedBallSubgroup — Mathlib

English

For any c, ballSubgroup c equals the subgroup generated by UpperSet.Ioi c.

Русский

Для любого c ballSubgroup c равна подгруппе, порождаемой UpperSet.Ioi c.

LaTeX

$$$ballSubgroup(c) = subgroup(UpperSet.Ioi c)$$$

Lean4

/-- A closed ball defined by `MulArchimedeanClass.subgroup` of `UpperSet.Ici c`. -/
@[to_additive /-- A closed ball defined by `ArchimedeanClass.addSubgroup` of `UpperSet.Ici c`. -/
    ]
noncomputable abbrev closedBallSubgroup (c : MulArchimedeanClass M) :=
  subgroup (UpperSet.Ici c)

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