Theorems · Theorem · group theory
Finset.noncommProd_eq_prod
∀ {α : Type u_3} {β : Type u_6} [inst : CommMonoid β] (s : Finset α) (f : α → β), s.noncommProd f ⋯ = s.prod f- Defined in
- Mathlib.Data.Finset.NoncommProd
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Finsetstatement and proof · cited by 13,712
- SetLike.coestatement and proof · cited by 8,199
- Finset.prodstatement and proof · cited by 2,356
- CommMonoidstatement and proof · cited by 2,264
- Finset.consproof · cited by 221
- Commute.allstatement and proof · cited by 119
- Finset.prod_consproof · cited by 60
- Finset.noncommProdstatement and proof · cited by 44
- Finset.cons_induction_onproof · cited by 37
- Finset.noncommProd_consproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- Equiv.Perm.OnCycleFactors.sign_kerParam_apply_applyproof · cited by 2
- Matrix.SpecialLinearGroup.diag_eq_diag2n_prodproof · cited by 1
- NormedSpace.exp_sumproof · cited by 1