Theorems · Theorem · real analysis

ContinuousLinearMap.derivWithin

∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] {F : Type v} [inst_1 : NormedAddCommGroup F]
  [inst_2 : NormedSpace 𝕜 F] {x : 𝕜} {s : Set 𝕜} (e : 𝕜 →L[𝕜] F), UniqueDiffWithinAt 𝕜 s x → derivWithin (⇑e) s x = e 1

Defined in

Mathlib.Analysis.Calculus.Deriv.Linear

Cited by

0 results in Mathlib

Foundations

Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpace