Theorems · Theorem · sequences and series
Finset.tprod_subtype
∀ {α : Type u_1} {β : Type u_2} [inst : CommMonoid α] [inst_1 : TopologicalSpace α] (s : Finset β) (f : β → α),
∏' (x : ↥s), f ↑x = ∏ x ∈ s, f x- Cited by
- 2 results in Mathlib
- Foundations
- Depth 80 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Finsetstatement and proof · cited by 13,712
- Finset.prodstatement · cited by 2,356
- CommMonoidstatement and proof · cited by 2,264
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- tprodstatement and proof · cited by 230
- Finset.prod_attachproof · cited by 22
- tprod_fintypeproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- cauchySeq_finset_iff_tprod_vanishingproof · cited by 3
- rel_iSup_prodproof · cited by 0