Theorems · Theorem · general algebraic systems
Finsupp.mapDomain_finset_sum
Deprecated since 2026-04-08Use Finsupp.mapDomain_finsetSum instead.
∀ {α : Type u_1} {β : Type u_2} {ι : Type u_4} {M : Type u_5} [inst : AddCommMonoid M] {f : α → β} {s : Finset ι}
{v : ι → α →₀ M}, Finsupp.mapDomain f (∑ i ∈ s, v i) = ∑ i ∈ s, Finsupp.mapDomain f (v i)Alias of Finsupp.mapDomain_finsetSum.
- Defined in
- Mathlib.Data.Finsupp.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- AddCommMonoidstatement · cited by 12,281
- Finsuppstatement · cited by 5,255
- Finset.sumstatement · cited by 5,195
- Finsupp.mapDomainstatement · cited by 168
- Finsupp.mapDomain_finsetSumproof · cited by 2
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