Theorems · Theorem · sequences and series
tprod_subtype
∀ {α : Type u_1} {β : Type u_2} [inst : CommMonoid α] [inst_1 : TopologicalSpace α] (s : Set β) (f : β → α),
∏' (x : ↑s), f ↑x = ∏' (x : β), s.mulIndicator f x- Cited by
- 2 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoidTopologicalSpace
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 and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.Elemstatement and proof · cited by 7,166
- CommMonoidstatement and proof · cited by 2,264
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- tprodstatement and proof · cited by 230
- Set.mulIndicatorstatement and proof · cited by 163
- Set.mulIndicator_of_memproof · cited by 25
- tprod_congrproof · cited by 8
- tprod_subtype_eq_of_mulSupport_subsetproof · cited by 5
- Set.mulSupport_mulIndicator_subsetproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- DirichletCharacter.LSeries_changeLevelproof · cited by 0
- Nat.Primes.tprod_eq_tprod_iteproof · cited by 0