Mathlib Map

Theorems · Theorem · functional analysis

Bornology.IsVonNBounded.of_boundedSpace

∀ {𝕜 : Type u_1} {E : Type u_3} [inst : SeminormedRing 𝕜] [inst_1 : SMul 𝕜 E] [inst_2 : Zero E]
  [inst_3 : TopologicalSpace E] [BoundedSpace 𝕜] {s : Set E}, Bornology.IsVonNBounded 𝕜 s
Defined in
Mathlib.Analysis.LocallyConvex.Bounded
Cited by
1 results in Mathlib
Foundations
Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SeminormedRingSMulZeroTopologicalSpaceBoundedSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

TotallyBounded.isVonNBounded · cited by 4TotallyBounded.isVonNBoun…Set · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpacenhds · cited by 5554nhdsSeminormedRing · cited by 446SeminormedRingBornology.IsVonNBounded · cited by 136Bornology.IsVonNBoundedBoundedSpace · cited by 26BoundedSpaceAbsorbs.of_boundedSpace · cited by 1Absorbs.of_boundedSpaceIsVonNBounded.of_boundedSpaceCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.