Theorems · Definition · general topology

Filter.boundedFilterSubmodule

(𝕜 : Type u_1) →
  {α : Type u_2} →
    {β : Type u_3} →
      [inst : SeminormedRing 𝕜] →
        [inst_1 : SeminormedAddCommGroup β] →
          [inst_2 : Module 𝕜 β] → [IsBoundedSMul 𝕜 β] → Filter α → Submodule 𝕜 (α → β)

The submodule of functions that are bounded along a filter l.

Defined in

Mathlib.Order.Filter.ZeroAndBoundedAtFilter

Cited by

1 results in Mathlib

Foundations

Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SeminormedRingSeminormedAddCommGroupModuleIsBoundedSMul