Theorems · Definition · sequences and series
Multipliable
{α : Type u_1} →
{β : Type u_2} →
[CommMonoid α] →
[TopologicalSpace α] → (β → α) → optParam (SummationFilter β) (SummationFilter.unconditional β) → PropMultipliable f means that f has some (infinite) product with respect to L. Use tprod to
get the value.
- Cited by
- 213 results in Mathlib
- Foundations
- Depth 57 from the axioms, rests on 924 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoidTopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- CommMonoidstatement and proof · cited by 2,264
- SummationFilter.unconditionalstatement · cited by 2,068
- SummationFilterstatement and proof · cited by 607
- HasProdproof · cited by 157
Cited by215
Results whose statement or proof uses this declaration.
- Multipliable.hasProdstatement and proof · cited by 88
- HasProd.multipliablestatement · cited by 40
- MultipliableUniformlyOnproof · cited by 16
- tprod_eq_one_of_not_multipliablestatement and proof · cited by 14
- tprod_defstatement and proof · cited by 11
- MultipliableUniformlyproof · cited by 7
- Multipliable.comp_injectivestatement and proof · cited by 7
- Function.Injective.tprod_eqproof · cited by 6
- tprod_botproof · cited by 6
- Multipliable.subtypestatement and proof · cited by 6
- Multipliable.tendsto_cofinite_onestatement and proof · cited by 6
- Multipliable.tprod_mulstatement and proof · cited by 6
Showing the 200 most cited of 215.