Theorems · Theorem · real analysis

contDiffWithinAt_const

∀ {𝕜 : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField 𝕜] [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] {s : Set E} {x : E}
  {n : WithTop ℕ∞} {c : F}, ContDiffWithinAt 𝕜 n (fun x => c) s x

Defined in

Mathlib.Analysis.Calculus.ContDiff.Basic

Cited by

9 results in Mathlib

Foundations

Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpace