Theorems · Theorem · global analysis

DifferentiableWithinAtProp_self

∀ {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 → E'}
  {s : Set E} {x : E},
  DifferentiableWithinAtProp (modelWithCornersSelf 𝕜 E) (modelWithCornersSelf 𝕜 E') f s x ↔
    DifferentiableWithinAt 𝕜 f s x

Defined in

Mathlib.Geometry.Manifold.MFDeriv.Defs

Cited by

0 results in Mathlib

Foundations

Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpace