Theorems · Theorem · group theory
Finset.prod_coe_sort
∀ {ι : Type u_1} {M : Type u_4} (s : Finset ι) [inst : CommMonoid M] (f : ι → M), ∏ i, f ↑i = ∏ i ∈ s, f i- Cited by
- 9 results in Mathlib
- Foundations
- Depth 78 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.
Cites5
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
- Finset.univstatement · cited by 3,473
- Finset.prodstatement · cited by 2,356
- CommMonoidstatement and proof · cited by 2,264
- Finset.prod_attachproof · cited by 22
Cited by9
Results whose statement or proof uses this declaration.
- Finset.prod_subtypeproof · cited by 6
- ProbabilityTheory.Kernel.iIndepFun.indepFun_finsetProd_of_notMemproof · cited by 5
- ProbabilityTheory.iIndepFun_iff_finsetproof · cited by 4
- ProbabilityTheory.iIndepFun.map_fun_eq_infinitePi_map₀proof · cited by 3
- ProbabilityTheory.Kernel.iIndepFun.iIndepFun_processproof · cited by 2
- AlgebraicClosure.toSplittingField_coeffproof · cited by 1
- Finset.prod_finset_coeproof · cited by 0
- Multiset.prod_toEnumFinsetproof · cited by 0
- Finset.isSquare_prodproof · cited by 0