Theorems · Theorem · global analysis
HasStrictFDerivAt.iterate
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {x : E} {f : E → E} {f' : E →L[𝕜] E},
HasStrictFDerivAt f f' x → f x = x → ∀ (n : ℕ), HasStrictFDerivAt f^[n] (f' ^ n) x- Defined in
- Mathlib.Analysis.Calculus.FDeriv.Comp
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 169 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement and proof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- nhdsproof · cited by 5,554
- ContinuousLinearMapstatement and proof · cited by 5,352
- Filter.Tendstoproof · cited by 3,814
- Nat.iteratestatement · cited by 740
- HasStrictFDerivAtstatement and proof · cited by 261
- HasStrictFDerivAt.continuousAtproof · cited by 5
- HasFDerivAtFilter.iterateproof · cited by 4
- ContinuousAt.prodMap'proof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- HasStrictDerivAt.iterateproof · cited by 0