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Theorems · Theorem · ring theory

SetLike.coe_list_dProd

∀ {ι : Type u_1} {R : Type u_2} {α : Type u_3} {S : Type u_4} [inst : SetLike S R] [inst_1 : Monoid R]
  [inst_2 : AddMonoid ι] (A : ι → S) [inst_3 : SetLike.GradedMonoid A] (fι : α → ι) (fA : (a : α) → ↥(A (fι a)))
  (l : List α), ↑(l.dProd fι fA) = (List.map (fun a => ↑(fA a)) l).prod
Defined in
Mathlib.Algebra.GradedMonoid
Cited by
1 results in Mathlib
Foundations
Depth 19 from the axioms · uses propext
Assumes
SetLikeMonoidAddMonoidSetLike.GradedMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SetLike.list_dProd_eq · cited by 0SetLike.list_dProd_eqMonoid · cited by 3887MonoidAddMonoid · cited by 2864AddMonoidSetLike · cited by 1084SetLikeSetLike.GradedMonoid · cited by 48SetLike.GradedMonoidList.dProdIndex · cited by 12List.dProdIndexList.dProd · cited by 10List.dProdSetLike.coe_list_dProdCITED BYCITES

Cites6

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Cited by1

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