Theorems · Theorem · general topology
Filter.atBot_basis_Iio
∀ {α : Type u_3} [inst : Preorder α] [IsCodirectedOrder α] [Nonempty α] [NoMinOrder α],
Filter.atBot.HasBasis (fun x => True) Set.Iio- Defined in
- Mathlib.Order.Filter.AtTopBot.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- Set.Iiostatement · cited by 1,166
- Filter.HasBasisstatement · cited by 604
- Filter.atBotstatement · cited by 512
- NoMinOrderstatement and proof · cited by 247
- IsCodirectedOrderstatement and proof · cited by 95
- NoMinOrder.exists_ltproof · cited by 41
- Filter.HasBasis.to_hasBasisproof · cited by 40
- Set.Iio_subset_Iic_selfproof · cited by 21
- Filter.atBot_basisproof · cited by 14
- Set.Iic_subset_Iioproof · cited by 12
Cited by3
Results whose statement or proof uses this declaration.
- Filter.atBot_basis_Iio'proof · cited by 1
- EReal.tendsto_coe_nhds_bot_iffproof · cited by 1
- Filter.frequently_atBot'proof · cited by 0