Theorems · Theorem · sequences and series
hasSum_bot
∀ {α : Type u_1} {β : Type u_2} [inst : AddCommMonoid α] [inst_1 : TopologicalSpace α] {L : SummationFilter β},
¬L.NeBot → ∀ (f : β → α) (a : α), HasSum f a L- Cited by
- 2 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- Finsetproof · cited by 13,712
- AddCommMonoidstatement and proof · cited by 12,281
- Filterproof · cited by 8,121
- nhdsproof · cited by 5,554
- Finset.sumproof · cited by 5,195
- Bot.botproof · cited by 4,720
- Filter.Tendstoproof · cited by 3,814
- Filter.NeBotproof · cited by 853
- SummationFilterstatement and proof · cited by 607
- HasSumstatement · cited by 518
- SummationFilter.NeBotstatement and proof · cited by 130
Cited by2
Results whose statement or proof uses this declaration.
- tsum_botproof · cited by 6
- summable_botproof · cited by 1