Theorems · Theorem · field theory
Polynomial.degree_sub_lt_right
∀ {R : Type u} [inst : Ring R] {p q : Polynomial R},
p.degree = q.degree → q ≠ 0 → p.leadingCoeff = q.leadingCoeff → (p - q).degree < q.degree- Defined in
- Mathlib.Algebra.Polynomial.Degree.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
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Cites8
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.degreestatement and proof · cited by 643
- Polynomial.leadingCoeffstatement and proof · cited by 498
- neg_subproof · cited by 272
- Polynomial.degree_negproof · cited by 21
- Polynomial.degree_sub_lt_leftproof · cited by 9
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