Theorems · Theorem · combinatorics
Fin.sum_univ_two
∀ {M : Type u_2} [inst : AddCommMonoid M] (f : Fin 2 → M), ∑ i, f i = f 0 + f 1- Defined in
- Mathlib.Algebra.BigOperators.Fin
- Cited by
- 49 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- Finset.sumstatement · cited by 5,195
- Finset.univstatement · cited by 3,473
- Finset.sum_congrproof · cited by 2,323
- Finset.sum_singletonproof · cited by 251
- Finset.univ_uniqueproof · cited by 94
- Fin.sum_univ_succproof · cited by 36
Cited by49
Results whose statement or proof uses this declaration.
- groupHomology.comp_d₂₁_eqproof · cited by 10
- groupCohomology.comp_d₁₂_eqproof · cited by 10
- Fin.sum_univ_threeproof · cited by 7
- Complex.hasSum_cos'proof · cited by 3
- Complex.hasSum_sin'proof · cited by 3
- Affine.Simplex.closedInterior_eq_affineSegmentproof · cited by 2
- iteratedDerivWithin_vcomp_threeproof · cited by 2
- CompleteOrthogonalIdempotents.pair_iff'ₛproof · cited by 2
- RootPairing.EmbeddedG2.allRoots_eq_map_allCoeffsproof · cited by 2
- InnerProductSpace.laplacian_eq_iteratedFDeriv_complexPlaneproof · cited by 2
- Matrix.toLin_finTwoProd_applyproof · cited by 2