Theorems · Theorem · general topology
Filter.tendsto_finset_Iic_atTop_atTop
∀ {α : Type u_3} [inst : Preorder α] [inst_1 : LocallyFiniteOrderBot α],
Filter.Tendsto Finset.Iic Filter.atTop Filter.atTop- Defined in
- Mathlib.Order.Filter.AtTopBot.Finset
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Preorderstatement and proof · cited by 7,952
- Filter.Tendstostatement and proof · cited by 3,814
- LE.le.transproof · cited by 3,151
- Filter.atTopstatement and proof · cited by 2,405
- IsEmptyproof · cited by 759
- Iff.notproof · cited by 489
- IsDirectedOrderproof · cited by 316
- LocallyFiniteOrderBotstatement and proof · cited by 286
- Finset.Iicstatement and proof · cited by 280
- isEmpty_or_nonemptyproof · cited by 269
- not_ne_iffproof · cited by 30
Cited by2
Results whose statement or proof uses this declaration.
- tprod_one_add_orderedproof · cited by 1
- Filter.tendsto_finset_Ici_atBot_atTopproof · cited by 0