Theorems · Theorem · field theory
Polynomial.trinomial_mirror
∀ {R : Type u_1} [inst : Semiring R] {k m n : ℕ} {u v w : R},
k < m → m < n → u ≠ 0 → w ≠ 0 → (Polynomial.trinomial k m n u v w).mirror = Polynomial.trinomial k (n - m + k) n w v u- Defined in
- Mathlib.Algebra.Polynomial.UnitTrinomial
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 108 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.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Polynomialstatement and proof · cited by 5,681
- zero_addproof · cited by 2,366
- LT.lt.leproof · cited by 2,189
- mul_assocproof · cited by 1,667
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- le_rflproof · cited by 1,558
- add_commproof · cited by 1,535
- add_assocproof · cited by 746
- LT.lt.transproof · cited by 370
Cited by4
Results whose statement or proof uses this declaration.
- Polynomial.IsUnitTrinomial.irreducible_aux3proof · cited by 1
- Polynomial.X_pow_sub_X_sub_one_irreducibleproof · cited by 1
- Polynomial.IsUnitTrinomial.irreducible_aux1proof · cited by 1
- Polynomial.IsUnitTrinomial.irreducible_aux2proof · cited by 1