Theorems · Theorem · group theory
Fintype.sum_unique
∀ {M : Type u_4} {ι : Type u_7} [inst : Fintype ι] [inst_1 : AddCommMonoid M] [inst_2 : Unique ι] (f : ι → M),
∑ x, f x = f default- Cited by
- 6 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeAddCommMonoidUnique
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetproof · cited by 13,712
- AddCommMonoidstatement and proof · cited by 12,281
- Fintypestatement and proof · cited by 7,736
- Finset.sumstatement and proof · cited by 5,195
- Finset.univstatement · cited by 3,473
- Uniquestatement and proof · cited by 400
- Finset.sum_singletonproof · cited by 251
- Finset.univ_uniqueproof · cited by 94
Cited by6
Results whose statement or proof uses this declaration.
- Fintype.sum_subsingletonproof · cited by 2
- iteratedDerivWithin_vcomp_threeproof · cited by 2
- iteratedDerivWithin_vcomp_twoproof · cited by 2
- Matrix.frobenius_norm_replicateRowproof · cited by 1
- stdSimplex_uniqueproof · cited by 1
- CompleteOrthogonalIdempotents.unique_iffproof · cited by 0