Theorems · Theorem · ring theory
SkewPolynomial.smul_sum
∀ {R : Type u_1} [inst : Semiring R] {S : Type u_5} [inst_1 : AddCommMonoid S] {T : Type u_6} [inst_2 : DistribSMul T S]
(p : SkewPolynomial R) (b : T) (f : ℕ → R → S), b • p.sum f = p.sum fun n a => b • f n a- Defined in
- Mathlib.Algebra.SkewPolynomial.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- SkewPolynomialstatement and proof · cited by 124
- DistribSMulstatement and proof · cited by 117
- SkewPolynomial.sumstatement · cited by 22
- Finsupp.smul_sumproof · cited by 11
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.