Theorems · Theorem · real analysis
HasDerivAt.unique
∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] {F : Type v} [inst_1 : NormedAddCommGroup F]
[inst_2 : NormedSpace 𝕜 F] {f : 𝕜 → F} {f₀' f₁' : F} {x : 𝕜}, HasDerivAt f f₀' x → HasDerivAt f f₁' x → f₀' = f₁'- Defined in
- Mathlib.Analysis.Calculus.Deriv.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- HasDerivAtstatement and proof · cited by 493
- HasDerivAt.hasFDerivAtproof · cited by 27
- HasFDerivAt.uniqueproof · cited by 9
- ContinuousLinearMap.toSpanSingleton_injproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- HasDerivAt.derivproof · cited by 147
- ContinuousLinearMap.hasDerivAt_of_bilinearproof · cited by 4
- HasLineDerivAt.uniqueproof · cited by 1
- not_differentiableAt_of_local_left_inverse_hasDerivAt_zeroproof · cited by 0