Theorems · Theorem · group theory
Finset.mulSupport_prod
∀ {ι : Type u_1} {κ : Type u_2} {M : Type u_3} [inst : CommMonoid M] (s : Finset ι) (f : ι → κ → M),
(Function.mulSupport fun x => ∏ i ∈ s, f i x) ⊆ ⋃ i ∈ s, Function.mulSupport (f i)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 57 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
- Set.iUnionstatement · cited by 2,483
- Finset.prodstatement and proof · cited by 2,356
- CommMonoidstatement and proof · cited by 2,264
- Function.mulSupportstatement · cited by 240
- Finset.prod_eq_oneproof · cited by 22
Cited by1
Results whose statement or proof uses this declaration.
- Function.HasFiniteMulSupport.prodproof · cited by 1