Theorems · Theorem · field theory
Polynomial.support_trinomial_subset
∀ {R : Type u} [inst : Semiring R] (k m n : ℕ) (x y z : R),
(Polynomial.C x * Polynomial.X ^ k + Polynomial.C y * Polynomial.X ^ m + Polynomial.C z * Polynomial.X ^ n).support ⊆
{k, m, n}- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 104 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.
- DFunLike.coestatement · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Finsetstatement · cited by 13,712
- RingHomstatement · cited by 10,189
- Polynomialstatement · cited by 5,681
- LE.le.transproof · cited by 3,151
- Polynomial.Xstatement · cited by 1,639
- Polynomial.Cstatement · cited by 1,598
- Polynomial.supportstatement · cited by 237
- Finset.mem_insert_selfproof · cited by 128
- Finset.mem_insert_of_memproof · cited by 109
- Finset.mem_singleton_selfproof · cited by 44
Cited by5
Results whose statement or proof uses this declaration.
- Polynomial.trinomial_natDegreeproof · cited by 4
- Polynomial.trinomial_natTrailingDegreeproof · cited by 3
- Polynomial.IsUnitTrinomial.coeff_isUnitproof · cited by 3
- Polynomial.support_trinomialproof · cited by 3
- Polynomial.support_trinomial'proof · cited by 0