Theorems · Theorem · general algebraic systems
DFinsupp.coe_finsetSum
∀ {ι : Type u} {β : ι → Type v} {α : Type u_1} [inst : (i : ι) → AddCommMonoid (β i)] (s : Finset α)
(g : α → Π₀ (i : ι), β i), ⇑(∑ a ∈ s, g a) = ∑ a ∈ s, ⇑(g a)- Defined in
- Mathlib.Data.DFinsupp.BigOperators
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Finsetstatement and proof · cited by 13,712
- AddCommMonoidstatement and proof · cited by 12,281
- Finset.sumstatement · cited by 5,195
- DFinsuppstatement and proof · cited by 694
- map_sumproof · cited by 455
- DFinsupp.coeFnAddMonoidHomproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- DFinsupp.coe_finset_sumproof · cited by 0