Theorems · Theorem · sequences and series
HasSum.unique
∀ {α : Type u_1} {β : Type u_2} [inst : AddCommMonoid α] [inst_1 : TopologicalSpace α] {L : SummationFilter β}
{f : β → α} [T2Space α] [L.NeBot] {a₁ a₂ : α}, HasSum f a₁ L → HasSum f a₂ L → a₁ = a₂- Cited by
- 23 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
- AddCommMonoidstatement and proof · cited by 12,281
- T2Spacestatement and proof · cited by 1,351
- SummationFilterstatement and proof · cited by 607
- HasSumstatement · cited by 518
- SummationFilter.NeBotstatement and proof · cited by 130
- tendsto_nhds_uniqueproof · cited by 118
Cited by23
Results whose statement or proof uses this declaration.
- HasSum.tsum_eqproof · cited by 150
- HasFPowerSeriesWithinOnBall.coeff_zeroproof · cited by 5
- lp.inner_single_leftproof · cited by 3
- HasSum.sigma_of_hasSumproof · cited by 2
- HasSum.smul_eqproof · cited by 2
- Summable.tsum_subtype_add_tsum_subtype_complproof · cited by 2
- HasSum.mul_eqproof · cited by 2
- ContinuousMap.hasSum_of_hasSum_Lpproof · cited by 2
- lp.norm_sub_norm_compl_sub_singleproof · cited by 1
- UpperHalfPlane.isBoundedAtImInfty_of_hasSum_qExpansionproof · cited by 1
- HasFPowerSeriesOnBall.eventually_eq_zeroproof · cited by 1
- FormalMultilinearSeries.changeOrigin_evalproof · cited by 1