Theorems · Definition · group theory
finsum
{M : Type u_7} → {α : Sort u_8} → [AddCommMonoid M] → (α → M) → MSum of f x as x ranges over the elements of the support of f, if it's finite. Zero
otherwise.
- Defined in
- Mathlib.Algebra.BigOperators.Finprod
- Cited by
- 286 results in Mathlib
- Foundations
- Depth 70 from the axioms, rests on 1,015 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement · cited by 12,281
Cited by300
Results whose statement or proof uses this declaration.
- Summable.hasSumproof · cited by 184
- tsum_zeroproof · cited by 63
- HahnSeries.SummableFamily.hsumproof · cited by 39
- Function.locallyFinsuppWithin.logCountingproof · cited by 36
- finsum_eq_sum_of_support_subsetstatement · cited by 28
- finsum_congr_Propstatement · cited by 18
- finsum_eq_singlestatement · cited by 18
- finsum_zerostatement · cited by 18
- finsum_eq_sumstatement · cited by 17
- MvPowerSeries.coeff_subststatement and proof · cited by 15
- finsum_congrstatement and proof · cited by 12
- MeromorphicOn.circleIntegrable_log_normproof · cited by 11
Showing the 200 most cited of 300.