Theorems · Theorem · ring theory
SkewMonoidAlgebra.sum_mul
∀ {k : Type u_1} {G : Type u_2} [inst : AddCommMonoid k] {S : Type u_3} [inst_1 : NonUnitalNonAssocSemiring S] (b : S)
(s : SkewMonoidAlgebra k G) {f : G → k → S}, s.sum f * b = s.sum fun a c => f a c * b- Defined in
- Mathlib.Algebra.SkewMonoidAlgebra.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- Finset.sumproof · cited by 5,195
- Finset.sum_congrproof · cited by 2,323
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- Finsupp.supportproof · cited by 828
- SkewMonoidAlgebrastatement and proof · cited by 216
- Finset.sum_mulproof · cited by 112
- SkewMonoidAlgebra.coeffproof · cited by 110
- SkewMonoidAlgebra.sumstatement · cited by 46
Cited by2
Results whose statement or proof uses this declaration.
- SkewMonoidAlgebra.liftNC_mulproof · cited by 0
- SkewMonoidAlgebra.coeff_mul_leftproof · cited by 0