Theorems · Theorem · combinatorics
Fin.sum_univ_one
∀ {M : Type u_2} [inst : AddCommMonoid M] (f : Fin 1 → M), ∑ i, f i = f 0- Defined in
- Mathlib.Algebra.BigOperators.Fin
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 57 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.
Cites6
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
Cited by7
Results whose statement or proof uses this declaration.
- Polynomial.div_prod_eq_quo_add_sum_rem_divproof · cited by 2
- WeierstrassCurve.Affine.CoordinateRing.exists_smul_basis_eqproof · cited by 2
- WeierstrassCurve.Affine.CoordinateRing.smul_basis_eq_zeroproof · cited by 1
- Polynomial.card_support_eq_threeproof · cited by 1
- Polynomial.quo_add_sum_rem_div_uniqueproof · cited by 1
- Polynomial.card_support_eq_oneproof · cited by 0
- Polynomial.card_support_eq_twoproof · cited by 0