instIsUniformAddGroup — Mathlib

English

PowerSeries(R) carries an IsUniformAddGroup structure whenever R has AddGroup and IsUniformAddGroup.

Русский

PowerSeries(R) имеет структуру IsUniformAddGroup, если R имеет AddGroup и IsUniformAddGroup.

LaTeX

$$$ \\text{IsUniformAddGroup}(\\PowerSeries(R)) $$$

Lean4

/-- The `IsUniformAddGroup` structure on `PowerSeries` of a `IsUniformAddGroup` -/
@[scoped instance]
theorem instIsUniformAddGroup [AddGroup R] [IsUniformAddGroup R] : IsUniformAddGroup (PowerSeries R) :=
  MvPowerSeries.WithPiTopology.instIsUniformAddGroup

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