Theorems · Theorem · field theory
Polynomial.Monic.sub_of_right
∀ {R : Type u} [inst : Ring R] {p q : Polynomial R}, q.leadingCoeff = -1 → p.degree < q.degree → (p - q).Monic- Defined in
- Mathlib.Algebra.Polynomial.Monic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
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Cites14
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
- Polynomial.natDegreeproof · cited by 1,105
- Polynomial.coeffproof · cited by 1,045
- sub_eq_add_negproof · cited by 1,023
- neg_negproof · cited by 960
- Polynomial.degreestatement and proof · cited by 643
- Polynomial.leadingCoeffstatement and proof · cited by 498
- Polynomial.Monicstatement and proof · cited by 461
- Polynomial.natDegree_negproof · cited by 26
- Polynomial.degree_negproof · cited by 21
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