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Theorems · Theorem · real analysis

contDiffWithinAt_fun_id

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

Eta-expanded form of contDiffWithinAt_id

Defined in
Mathlib.Analysis.Calculus.ContDiff.Basic
Cited by
0 results in Mathlib
Foundations
Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedFieldNormedAddCommGroupNormedSpace
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Set · cited by 53352SetNormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFieldENat · cited by 4985ENatWithTop · cited by 3754WithTopContDiffWithinAt · cited by 283ContDiffWithinAtcontDiffWithinAt_id · cited by 12contDiffWithinAt_idcontDiffWithinAt_fun_idCITED BYCITES

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