Theorems · Theorem · global analysis
Differentiable.iterate
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {f : E → E}, Differentiable 𝕜 f → ∀ (n : ℕ), Differentiable 𝕜 f^[n]- Defined in
- Mathlib.Analysis.Calculus.FDeriv.Comp
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- Nat.iteratestatement and proof · cited by 740
- Differentiablestatement and proof · cited by 298
- differentiable_idproof · cited by 35
- Differentiable.compproof · cited by 17
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