Theorems · Theorem · field theory
Polynomial.trinomial_leadingCoeff
∀ {R : Type u_1} [inst : Semiring R] {k m n : ℕ} {u v w : R},
k < m → m < n → w ≠ 0 → (Polynomial.trinomial k m n u v w).leadingCoeff = w- Defined in
- Mathlib.Algebra.Polynomial.UnitTrinomial
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 106 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.
Cites6
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
- Polynomial.coeffproof · cited by 1,045
- Polynomial.leadingCoeffstatement · cited by 498
- Polynomial.trinomialstatement and proof · cited by 21
- Polynomial.trinomial_leading_coeff'proof · cited by 4
- Polynomial.trinomial_natDegreeproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.IsUnitTrinomial.irreducible_aux3proof · cited by 1
- Polynomial.trinomial_monicproof · cited by 1