Theorems · Theorem · field theory
Polynomial.iterate_derivative_eq_zero_of_degree_lt
∀ {R : Type u} [inst : CommRing R] {k : ℕ} {P : Polynomial R}, P.degree < ↑k → (⇑Polynomial.derivative)^[k] P = 0- Defined in
- Mathlib.Algebra.Polynomial.Derivative
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- LinearMapstatement · cited by 10,215
- Polynomialstatement and proof · cited by 5,681
- Nat.cast_oneproof · cited by 2,501
- WithBotstatement · cited by 1,498
- Polynomial.natDegreeproof · cited by 1,105
- Nat.iteratestatement and proof · cited by 740
- Polynomial.degreestatement and proof · cited by 643
- Nat.cast_addproof · cited by 586
- lt_of_not_geproof · cited by 374
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.Chebyshev.eval_iterate_derivative_le_of_forall_abs_le_oneproof · cited by 0