Theorems · Theorem · real analysis
derivWithin_id
∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] (x : 𝕜) (s : Set 𝕜), UniqueDiffWithinAt 𝕜 s x → derivWithin id s x = 1- Defined in
- Mathlib.Analysis.Calculus.Deriv.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NontriviallyNormedField
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- derivWithinstatement · cited by 258
- UniqueDiffWithinAtstatement and proof · cited by 252
- HasDerivWithinAt.derivWithinproof · cited by 62
- hasDerivWithinAt_idproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- derivWithin_id'proof · cited by 3
- iteratedDerivWithin_idproof · cited by 1