Theorems · Theorem · group theory
finprod_mem_inter_mulSupport
∀ {α : Type u_1} {M : Type u_5} [inst : CommMonoid M] (f : α → M) (s : Set α),
∏ᶠ (i : α) (_ : i ∈ s ∩ Function.mulSupport f), f i = ∏ᶠ (i : α) (_ : i ∈ s), f i- Defined in
- Mathlib.Algebra.BigOperators.Finprod
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 80 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 and proof · cited by 53,352
- CommMonoidstatement and proof · cited by 2,264
- finprodstatement and proof · cited by 257
- Function.mulSupportstatement and proof · cited by 240
- Set.mulIndicatorproof · cited by 163
- finprod_mem_defproof · cited by 5
- Set.mulIndicator_inter_mulSupportproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- finprod_mem_inter_mulSupport_eqproof · cited by 1
- finprod_mem_union_inter'proof · cited by 1
- finprod_mem_union''proof · cited by 0