Theorems · Theorem · group theory
finsum_mem_coe_finset
∀ {α : Type u_1} {M : Type u_5} [inst : AddCommMonoid M] (f : α → M) (s : Finset α),
∑ᶠ (i : α) (_ : i ∈ ↑s), f i = ∑ i ∈ s, f i- Defined in
- Mathlib.Algebra.BigOperators.Finprod
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 82 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.
- Setstatement · cited by 53,352
- Finsetstatement and proof · cited by 13,712
- AddCommMonoidstatement and proof · cited by 12,281
- SetLike.coestatement · cited by 8,199
- Finset.sumstatement · cited by 5,195
- finsumstatement · cited by 286
- finsum_mem_eq_sum_of_inter_support_eqproof · cited by 7
Cited by4
Results whose statement or proof uses this declaration.
- finsum_mem_singletonproof · cited by 3
- finsum_mem_iUnionproof · cited by 1
- finsum_mem_union_interproof · cited by 1
- finsum_mem_commproof · cited by 0