Theorems · Theorem · group theory
Finset.ite_sum_zero
∀ {ι : Type u_1} {M : Type u_3} [inst : AddCommMonoid M] (p : Prop) [inst_1 : Decidable p] (s : Finset ι) (f : ι → M),
(if p then ∑ x ∈ s, f x else 0) = ∑ x ∈ s, if p then f x else 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
- Assumes
- AddCommMonoidDecidable
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
- AddCommMonoidstatement and proof · cited by 12,281
- Finset.sumstatement and proof · cited by 5,195
- Finset.sum_const_zeroproof · cited by 219
- Finset.sum_ite_irrelproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- BoundingSieve.mainSum_lambdaSquared_eq_sum_mul_sum_sqproof · cited by 0