Theorems · Theorem · field theory
Polynomial.degree_sub_eq_right_of_degree_lt
∀ {R : Type u} [inst : Ring R] {p q : Polynomial R}, p.degree < q.degree → (p - q).degree = q.degree- Cited by
- 3 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- Polynomialstatement and proof · cited by 5,681
- WithBotstatement and proof · cited by 1,498
- sub_eq_add_negproof · cited by 1,023
- Polynomial.degreestatement and proof · cited by 643
- Polynomial.degree_negproof · cited by 21
- Polynomial.degree_add_eq_right_of_degree_ltproof · cited by 9
Cited by3
Results whose statement or proof uses this declaration.
- spectrum.map_polynomial_aeval_of_degree_posproof · cited by 2
- WeierstrassCurve.Affine.CoordinateRing.degree_norm_smul_basisproof · cited by 1
- Polynomial.natDegree_sub_eq_right_of_natDegree_ltproof · cited by 0