Theorems · Theorem · ring theory
Finsupp.indicator_eq_sum_attach_single
∀ {α : Type u_1} {M : Type u_8} [inst : AddCommMonoid M] {s : Finset α} (f : (a : α) → a ∈ s → M),
Finsupp.indicator s f = ∑ x ∈ s.attach, fun₀ | ↑x => f ↑x ⋯- Cited by
- 1 results in Mathlib
- Foundations
- Depth 78 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.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsetstatement and proof · cited by 13,712
- AddCommMonoidstatement and proof · cited by 12,281
- Finsuppstatement and proof · cited by 5,255
- Finset.sumstatement and proof · cited by 5,195
- Finset.sum_congrproof · cited by 2,323
- Finsupp.singlestatement and proof · cited by 943
- Finsupp.supportproof · cited by 828
- Finset.attachstatement and proof · cited by 168
- Finset.sum_subsetproof · cited by 79
- Finsupp.single_zeroproof · cited by 63
- Finset.sum_attachproof · cited by 54
Cited by1
Results whose statement or proof uses this declaration.
- Finsupp.indicator_eq_sum_singleproof · cited by 0