Theorems · Theorem · functional analysis

ContinuousMultilinearMap.toUniformOnFun_toFun

∀ {𝕜 : Type u_1} {ι : Type u_2} {E : ι → Type u_3} {F : Type u_4} [inst : NormedField 𝕜]
  [inst_1 : (i : ι) → TopologicalSpace (E i)] [inst_2 : (i : ι) → AddCommGroup (E i)]
  [inst_3 : (i : ι) → Module 𝕜 (E i)] [inst_4 : AddCommGroup F] [inst_5 : Module 𝕜 F] [inst_6 : TopologicalSpace F]
  (f : ContinuousMultilinearMap 𝕜 E F), (UniformOnFun.toFun {s | Bornology.IsVonNBounded 𝕜 s}) f.toUniformOnFun = ⇑f

Defined in

Mathlib.Topology.Algebra.Module.Multilinear.Topology

Cited by

0 results in Mathlib

Foundations

Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedFieldTopologicalSpaceAddCommGroupModuleAddCommGroupModuleTopologicalSpace