Theorems · Theorem · global analysis

contMDiffWithinAt_iff_contDiffWithinAt

∀ {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']
  {n : WithTop ℕ∞} {f : E → E'} {s : Set E} {x : E},
  ContMDiffWithinAt (modelWithCornersSelf 𝕜 E) (modelWithCornersSelf 𝕜 E') n f s x ↔ ContDiffWithinAt 𝕜 n f s x

Defined in

Mathlib.Geometry.Manifold.ContMDiff.NormedSpace

Cited by

4 results in Mathlib

Foundations

Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpace