Theorems · Theorem · field theory
Polynomial.trinomial_natDegree
∀ {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).natDegree = n- Defined in
- Mathlib.Algebra.Polynomial.UnitTrinomial
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 105 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.
Cites16
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
- LT.lt.leproof · cited by 2,189
- le_rflproof · cited by 1,558
- Polynomial.natDegreestatement · cited by 1,105
- LE.le.antisymmproof · cited by 507
- LT.lt.transproof · cited by 370
- Polynomial.supportproof · cited by 237
- Finset.mem_singletonproof · cited by 103
- WithBot.coe_le_coeproof · cited by 76
- Finset.sup_leproof · cited by 44
- Finset.mem_insertproof · cited by 44
- Polynomial.natDegree_eq_of_degree_eq_someproof · cited by 42
Cited by4
Results whose statement or proof uses this declaration.
- Polynomial.trinomial_mirrorproof · cited by 4
- Polynomial.trinomial_leadingCoeffproof · cited by 2
- Polynomial.IsUnitTrinomial.irreducible_of_coprimeproof · cited by 2
- Polynomial.IsUnitTrinomial.not_isUnitproof · cited by 1