Theorems · Theorem · ring theory
SkewMonoidAlgebra.sum_add
∀ {k : Type u_1} {G : Type u_2} [inst : AddCommMonoid k] {S : Type u_3} [inst_1 : AddCommMonoid S]
(p : SkewMonoidAlgebra k G) (f g : G → k → S), (p.sum fun n x => f n x + g n x) = p.sum f + p.sum g- Defined in
- Mathlib.Algebra.SkewMonoidAlgebra.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoidAddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- SkewMonoidAlgebrastatement and proof · cited by 216
- SkewMonoidAlgebra.sumstatement · cited by 46
- Finsupp.sum_addproof · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- SkewMonoidAlgebra.mapDomain_mulproof · cited by 0