Theorems · Theorem · group theory
finprod_mem_coe_finset
∀ {α : Type u_1} {M : Type u_5} [inst : CommMonoid M] (f : α → M) (s : Finset α),
∏ᶠ (i : α) (_ : i ∈ ↑s), f i = ∏ i ∈ s, f i- Defined in
- Mathlib.Algebra.BigOperators.Finprod
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 82 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.
Cites7
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 · cited by 8,199
- Finset.prodstatement · cited by 2,356
- CommMonoidstatement and proof · cited by 2,264
- finprodstatement · cited by 257
- finprod_mem_eq_prod_of_inter_mulSupport_eqproof · cited by 7
Cited by4
Results whose statement or proof uses this declaration.
- finprod_mem_singletonproof · cited by 3
- finprod_mem_iUnionproof · cited by 1
- finprod_mem_union_interproof · cited by 1
- finprod_mem_commproof · cited by 0