Theorems · Theorem · field theory
Polynomial.natDegree_hasseDeriv_le
∀ {R : Type u_1} [inst : Semiring R] (p : Polynomial R) (n : ℕ),
((Polynomial.hasseDeriv n) p).natDegree ≤ p.natDegree - n- Defined in
- Mathlib.Algebra.Polynomial.HasseDeriv
- 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.
Cites24
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
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- Polynomialstatement and proof · cited by 5,681
- LE.le.transproof · cited by 3,151
- Polynomial.natDegreestatement and proof · cited by 1,105
- Polynomial.coeffproof · cited by 1,045
- Finset.filterproof · cited by 949
- Nat.chooseproof · cited by 494
- Polynomial.monomialproof · cited by 256
- Polynomial.supportproof · cited by 237
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.hasseDeriv_natDegree_eq_Cproof · cited by 1