Theorems · Definition · field theory
Polynomial.lcoeff
(R : Type u) → [inst : Semiring R] → ℕ → Polynomial R →ₗ[R] R
The nth coefficient, as a linear map.
- Defined in
- Mathlib.Algebra.Polynomial.Coeff
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 95 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- Polynomialstatement and proof · cited by 5,681
- Polynomial.coeffproof · cited by 1,045
- Polynomial.coeff_addproof · cited by 77
Cited by15
Results whose statement or proof uses this declaration.
- Polynomial.degreeLTproof · cited by 47
- Polynomial.finsetSum_coeffproof · cited by 38
- Polynomial.mem_degreeLTproof · cited by 14
- Polynomial.degreeLEproof · cited by 9
- Polynomial.toFnproof · cited by 5
- Polynomial.mem_degreeLEproof · cited by 5
- Polynomial.taylor_coeffproof · cited by 4
- Ideal.leadingCoeffNthproof · cited by 4
- Polynomial.lcoeff_applystatement · cited by 2
- cyclotomic_comp_X_add_one_isEisensteinAtproof · cited by 1
- Polynomial.coeff_list_sumstatement and proof · cited by 1
- Polynomial.coeff_X_add_C_powproof · cited by 1