Theorems · Theorem · commutative algebra
bernsteinPolynomial.iterate_derivative_at_1_ne_zero
∀ (R : Type u_1) [inst : CommRing R] [CharZero R] (n ν : ℕ), ν ≤ n → Polynomial.eval 1 ((⇑Polynomial.derivative)^[n - ν] (bernsteinPolynomial R n ν)) ≠ 0
- Defined in
- Mathlib.RingTheory.Polynomial.Bernstein
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- CommRingstatement and proof · cited by 17,173
- LinearMapstatement · cited by 10,215
- Polynomialstatement · cited by 5,681
- Nat.cast_zeroproof · cited by 1,870
- LT.lt.ne'proof · cited by 1,417
- CharZerostatement and proof · cited by 932
- Polynomial.evalstatement and proof · cited by 796
- Nat.iteratestatement · cited by 740
- Polynomial.derivativestatement · cited by 331
- Nat.cast_succproof · cited by 99
Cited by1
Results whose statement or proof uses this declaration.
- bernsteinPolynomial.linearIndependent_auxproof · cited by 1