Theorems · Theorem · functional analysis

ContinuousLinearMap.hasFDerivAtFilter

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E]
  [inst_3 : TopologicalSpace E] {F : Type u_3} [inst_4 : AddCommGroup F] [inst_5 : Module 𝕜 F]
  [inst_6 : TopologicalSpace F] (f : E →L[𝕜] F) {L : Filter (E × E)}, HasFDerivAtFilter (⇑f) f L

Defined in

Mathlib.Analysis.Calculus.FDeriv.Linear

Cited by

11 results in Mathlib

Foundations

Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldAddCommGroupModuleTopologicalSpaceAddCommGroupModuleTopologicalSpace