Theorems · Theorem · group theory
Finset.sum_of_isEmpty
∀ {ι : Type u_1} {M : Type u_3} {f : ι → M} [inst : AddCommMonoid M] [IsEmpty ι] (s : Finset ι), ∑ i ∈ s, f i = 0- Cited by
- 3 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoidIsEmpty
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- IsEmptystatement and proof · cited by 759
- Finset.sum_emptyproof · cited by 45
- Finset.eq_empty_of_isEmptyproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- Matrix.dotProduct_of_isEmptyproof · cited by 5
- Fintype.sum_emptyproof · cited by 2
- finSigmaFinEquiv_oneproof · cited by 0