Theorems · Theorem · field theory
Polynomial.coeffList_C
∀ {R : Type u_1} [inst : Semiring R] {x : R}, x ≠ 0 → (Polynomial.C x).coeffList = [x]- Defined in
- Mathlib.Algebra.Polynomial.CoeffList
- Cited by
- 1 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.
Cites14
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
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- Polynomialstatement · cited by 5,681
- Polynomial.Cstatement and proof · cited by 1,598
- WithBotproof · cited by 1,498
- Polynomial.coeffproof · cited by 1,045
- CharP.cast_eq_zeroproof · cited by 357
- Polynomial.degree_eq_natDegreeproof · cited by 69
- Polynomial.natDegree_Cproof · cited by 59
- Polynomial.coeff_C_zeroproof · cited by 58
- WithBot.succproof · cited by 30
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.coeffList_eraseLeadproof · cited by 4