Theorems · Theorem · field theory
Polynomial.head_coeffList
∀ {R : Type u_1} [inst : Semiring R] (P : Polynomial R) (hP : P.coeffList ≠ []), P.coeffList.head hP = P.leadingCoeff- Defined in
- Mathlib.Algebra.Polynomial.CoeffList
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 92 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Polynomialstatement and proof · cited by 5,681
- Polynomial.leadingCoeffstatement and proof · cited by 498
- Iff.notproof · cited by 489
- Polynomial.coeffListstatement and proof · cited by 22
- Polynomial.coeffList_eq_cons_leadingCoeffproof · cited by 6
- Polynomial.coeffList_eq_nilproof · cited by 2
- Polynomial.head?_coeffListproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.