Theorems · Theorem · sequences and series
HasProd.multipliable
∀ {α : Type u_1} {β : Type u_2} [inst : CommMonoid α] [inst_1 : TopologicalSpace α] {L : SummationFilter β} {f : β → α}
{a : α}, HasProd f a L → Multipliable f L- Cited by
- 40 results in Mathlib
- Foundations
- Depth 58 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.
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
- SummationFilterstatement and proof · cited by 607
- Multipliablestatement · cited by 213
- HasProdstatement and proof · cited by 157
Cited by40
Results whose statement or proof uses this declaration.
- MultipliableLocallyUniformlyOn.hasProdLocallyUniformlyOnproof · cited by 5
- MultipliableUniformlyOn.hasProdUniformlyOnproof · cited by 5
- multipliable_oneproof · cited by 3
- Multipliable.invproof · cited by 3
- MultipliableLocallyUniformlyOn.multipliableproof · cited by 2
- Multipliable.mapproof · cited by 2
- Multipliable.mulproof · cited by 2
- Multipliable.multipliable_compl_iffproof · cited by 2
- Multipliable.of_nat_of_neg_add_oneproof · cited by 2
- Finset.multipliableproof · cited by 2
- MultipliableLocallyUniformly.hasProdLocallyUniformlyproof · cited by 1
- multipliable_of_ne_finset_oneproof · cited by 1