Theorems · Theorem · general algebraic systems
Finsupp.subtypeDomain_sum
∀ {α : Type u_1} {ι : Type u_4} {M : Type u_5} [inst : AddCommMonoid M] {p : α → Prop} {s : Finset ι} {h : ι → α →₀ M},
Finsupp.subtypeDomain p (∑ c ∈ s, h c) = ∑ c ∈ s, Finsupp.subtypeDomain p (h c)- Defined in
- Mathlib.Data.Finsupp.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 70 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.subtypeDomainstatement · cited by 26
- Finsupp.subtypeDomainAddMonoidHomproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Finsupp.subtypeDomain_finsupp_sumproof · cited by 0