Theorems · Theorem · field theory
Polynomial.iterate_derivative_zero
∀ {R : Type u} [inst : Semiring R] {k : ℕ}, (⇑Polynomial.derivative)^[k] 0 = 0- Defined in
- Mathlib.Algebra.Polynomial.Derivative
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- Polynomialstatement · cited by 5,681
- Nat.iteratestatement · cited by 740
- Polynomial.derivativestatement and proof · cited by 331
- iterate_map_zeroproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.iterate_derivative_eq_zeroproof · cited by 3