Theorems · Definition · field theory
Polynomial.lsum
{R : Type u_1} →
{A : Type u_2} →
{M : Type u_3} →
[inst : Semiring R] →
[inst_1 : Semiring A] →
[inst_2 : AddCommMonoid M] →
[inst_3 : Module R A] → [inst_4 : Module R M] → (ℕ → A →ₗ[R] M) → Polynomial A →ₗ[R] MPolynomial.sum as a linear map.
- Defined in
- Mathlib.Algebra.Polynomial.Coeff
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- LinearMapstatement and proof · cited by 10,215
- Polynomialstatement and proof · cited by 5,681
- Polynomial.sumproof · cited by 67
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.hasseDerivproof · cited by 19
- Polynomial.lsum_applystatement and proof · cited by 1