Theorems · Theorem · real analysis
iteratedDeriv_comp_const_mul
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {n : ℕ} {f : 𝕜 → 𝕜},
ContDiff 𝕜 (↑n) f → ∀ (c : 𝕜), (iteratedDeriv n fun x => f (c * x)) = fun x => c ^ n * iteratedDeriv n f (c * x)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 195 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.
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ENatstatement · cited by 4,985
- WithTopstatement · cited by 3,754
- ContDiffstatement and proof · cited by 352
- iteratedDerivstatement · cited by 188
- iteratedDeriv_comp_const_smulproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- iteratedDeriv_exp_const_mulproof · cited by 0
- iteratedDeriv_cexp_const_mulproof · cited by 0