Theorems · Theorem · general topology
OrderIso.comap_atTop
∀ {α : Type u_3} {β : Type u_4} [inst : Preorder α] [inst_1 : Preorder β] (e : α ≃o β),
Filter.comap (⇑e) Filter.atTop = Filter.atTop- Defined in
- Mathlib.Order.Filter.AtTopBot.Map
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Filterstatement and proof · cited by 8,121
- Preorderstatement and proof · cited by 7,952
- Filter.atTopstatement · cited by 2,405
- iInfproof · cited by 1,690
- Set.Iciproof · cited by 1,070
- OrderIsostatement and proof · cited by 874
- Filter.principalproof · cited by 740
- Filter.comapstatement and proof · cited by 546
- InfSetproof · cited by 145
- Filter.comap_principalproof · cited by 47
- OrderIso.symm_apply_applyproof · cited by 41
Cited by6
Results whose statement or proof uses this declaration.
- OrderIso.map_atTopproof · cited by 11
- OrderIso.tendsto_atTop_iffproof · cited by 3
- OrderIso.comap_atBotproof · cited by 2
- Filter.comap_neg_atBotproof · cited by 0
- Real.comap_sqrt_atTopproof · cited by 0
- Filter.comap_inv_atBotproof · cited by 0