Theorems · Theorem · field theory
Polynomial.degree_sub_lt
Deprecated since 2026-06-30Use Polynomial.degree_sub_lt_left instead.
∀ {R : Type u} [inst : Ring R] {p q : Polynomial R},
p.degree = q.degree → p ≠ 0 → p.leadingCoeff = q.leadingCoeff → (p - q).degree < p.degreeAlias of Polynomial.degree_sub_lt_left.
- 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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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement · cited by 7,463
- Polynomialstatement · cited by 5,681
- WithBotstatement · cited by 1,498
- Polynomial.degreestatement · cited by 643
- Polynomial.leadingCoeffstatement · cited by 498
- Polynomial.degree_sub_lt_leftproof · cited by 9
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