Theorems · Theorem · real analysis
Real.iter_deriv_rpow_const
∀ (r x : ℝ) (k : ℕ), deriv^[k] (fun x => x ^ r) x = Polynomial.eval r (descPochhammer ℝ k) * x ^ (r - ↑k)
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 209 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- Polynomial.Xproof · cited by 1,639
- sub_zeroproof · cited by 938
- Polynomial.evalstatement and proof · cited by 796
- Nat.iteratestatement and proof · cited by 740
- derivstatement and proof · cited by 676
- Nat.cast_addproof · cited by 586
- CharP.cast_eq_zeroproof · cited by 357
- Polynomial.eval_Xproof · cited by 172
- Polynomial.eval_mulproof · cited by 127
Cited by1
Results whose statement or proof uses this declaration.
- Function.hasTemperateGrowth_one_add_norm_sq_rpowproof · cited by 9