Theorems · Theorem · field theory
Polynomial.splits_of_natDegree_le_one_of_invertible
Deprecated since 2026-06-06Use Polynomial.Splits.of_natDegree_le_one_of_invertible instead.
∀ {R : Type u_1} [inst : Semiring R] {f : Polynomial R}, f.natDegree ≤ 1 → ∀ (h : Invertible f.leadingCoeff), f.SplitsAlias of Polynomial.Splits.of_natDegree_le_one_of_invertible.
- Defined in
- Mathlib.Algebra.Polynomial.Splits
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 112 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement · cited by 13,802
- Polynomialstatement · cited by 5,681
- Polynomial.natDegreestatement · cited by 1,105
- Invertiblestatement · cited by 549
- Polynomial.leadingCoeffstatement · cited by 498
- Polynomial.Splitsstatement · cited by 290
- Polynomial.Splits.of_natDegree_le_one_of_invertibleproof · cited by 4
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.