Theorems · Theorem · global analysis

ContinuousLinearMap.mfderivWithin_eq

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] {E' : Type u_5} [inst_3 : NormedAddCommGroup E'] [inst_4 : NormedSpace 𝕜 E']
  (f : E →L[𝕜] E') {s : Set E} {x : E}, UniqueMDiffAt[s] x → mfderiv[s] ⇑f x = f

Defined in

Mathlib.Geometry.Manifold.MFDeriv.SpecificFunctions

Cited by

0 results in Mathlib

Foundations

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

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpace