Theorems · Theorem · general algebraic systems
Finsupp.mapDomain_finsetSum
∀ {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)- Defined in
- Mathlib.Data.Finsupp.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 73 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.
- Finsetstatement and proof · cited by 13,712
- AddCommMonoidstatement and proof · cited by 12,281
- Finsuppstatement and proof · cited by 5,255
- Finset.sumstatement · cited by 5,195
- map_sumproof · cited by 455
- Finsupp.mapDomainstatement · cited by 168
- Finsupp.mapDomain.addMonoidHomproof · cited by 19
Cited by2
Results whose statement or proof uses this declaration.
- FunOnFinite.map_apply_applyproof · cited by 2
- Finsupp.mapDomain_finset_sumproof · cited by 0