Theorems · Theorem · sequences and series
tprod_univ
∀ {α : Type u_1} {β : Type u_2} [inst : CommMonoid α] [inst_1 : TopologicalSpace α] (f : β → α),
∏' (x : ↑Set.univ), f ↑x = ∏' (x : β), 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.Elemstatement · cited by 7,166
- Set.univstatement · cited by 3,945
- CommMonoidstatement and proof · cited by 2,264
- SummationFilter.unconditionalstatement · cited by 2,068
- Function.mulSupportproof · cited by 240
- tprodstatement · cited by 230
- Set.subset_univproof · cited by 228
- tprod_subtype_eq_of_mulSupport_subsetproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.infinitePi_pi_univproof · cited by 1
- tprod_rangeproof · cited by 0