Theorems · Theorem · sequences and series
HasProd.unique
∀ {α : Type u_1} {β : Type u_2} [inst : CommMonoid α] [inst_1 : TopologicalSpace α] {L : SummationFilter β} {f : β → α}
[T2Space α] [L.NeBot] {a₁ a₂ : α}, HasProd f a₁ L → HasProd f a₂ L → a₁ = a₂- Cited by
- 4 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- T2Spacestatement and proof · cited by 1,351
- SummationFilterstatement and proof · cited by 607
- HasProdstatement · cited by 157
- SummationFilter.NeBotstatement and proof · cited by 130
- tendsto_nhds_uniqueproof · cited by 118
Cited by4
Results whose statement or proof uses this declaration.
- HasProd.tprod_eqproof · cited by 49
- HasProd.update'proof · cited by 1
- Multipliable.tprod_subtype_mul_tprod_subtype_complproof · cited by 1
- HasProd.sigma_of_hasProdproof · cited by 0