Theorems · Theorem · field theory
Polynomial.support_monomial
∀ {R : Type u} [inst : Semiring R] (n : ℕ) {a : R}, a ≠ 0 → ((Polynomial.monomial n) a).support = {n}- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 98 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- Finsetstatement and proof · cited by 13,712
- LinearMapstatement · cited by 10,215
- Polynomialstatement and proof · cited by 5,681
- Polynomial.monomialstatement · cited by 256
- AddMonoidAlgebra.singleproof · cited by 250
- Polynomial.supportstatement and proof · cited by 237
- Finsupp.support_singleproof · cited by 39
- Polynomial.ofFinsupp_singleproof · cited by 6
Cited by11
Results whose statement or proof uses this declaration.
- Polynomial.degree_Cproof · cited by 20
- Polynomial.trailingDegree_monomialproof · cited by 6
- Polynomial.degree_monomialproof · cited by 6
- Polynomial.content_Cproof · cited by 5
- Polynomial.support_X_powproof · cited by 2
- Polynomial.support_Cproof · cited by 2
- Polynomial.gaussNorm_monomialproof · cited by 1
- Polynomial.supNorm_monomialproof · cited by 1
- Polynomial.coeffs_monomialproof · cited by 1
- Polynomial.support_C_mul_X_powproof · cited by 1
- Polynomial.support_C_mul_Xproof · cited by 0