Theorems · Theorem · group theory
AddSubgroup.val_finsetSum
∀ {ι : Type u_3} {G : Type u_4} [inst : AddCommGroup G] (H : AddSubgroup G) (f : ι → ↥H) (s : Finset ι),
↑(∑ i ∈ s, f i) = ∑ i ∈ s, ↑(f i)- Defined in
- Mathlib.Algebra.Group.Subgroup.Finite
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
- Assumes
- AddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- AddCommGroupstatement and proof · cited by 12,871
- Finset.sumstatement · cited by 5,195
- AddSubgroupstatement and proof · cited by 3,232
- AddSubmonoidClass.coe_finsetSumproof · cited by 15
Cited by4
Results whose statement or proof uses this declaration.
- lp.coeFn_sumproof · cited by 2
- MeasureTheory.Lp.coeFn_finsetSumproof · cited by 1
- AddSubgroup.val_finset_sumproof · cited by 0
- IsHilbertSum.linearIsometryEquiv_apply_dfinsupp_sum_singleproof · cited by 0