Theorems · Theorem · field theory
Polynomial.coeffList_monomial
∀ {R : Type u_1} [inst : Semiring R] {x : R},
x ≠ 0 → ∀ (n : ℕ), ((Polynomial.monomial n) x).coeffList = x :: List.replicate n 0- Defined in
- Mathlib.Algebra.Polynomial.CoeffList
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 107 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.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- Polynomialstatement · cited by 5,681
- Polynomial.natDegreeproof · cited by 1,105
- Polynomial.coeffproof · cited by 1,045
- Polynomial.degreeproof · cited by 643
- Polynomial.monomialstatement and proof · cited by 256
- add_tsub_cancel_rightproof · cited by 172
- WithBot.succproof · cited by 30
- Polynomial.coeffListstatement and proof · cited by 22
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.coeffList_eraseLeadproof · cited by 4