Mathlib Map

Theorems · Theorem · general topology

OrderIso.comap_atBot

∀ {α : Type u_3} {β : Type u_4} [inst : Preorder α] [inst_1 : Preorder β] (e : α ≃o β),
  Filter.comap (⇑e) Filter.atBot = Filter.atBot
Defined in
Mathlib.Order.Filter.AtTopBot.Map
Cited by
2 results in Mathlib
Foundations
Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PreorderPreorder
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Filter.comap_neg_atTop · cited by 0Filter.comap_neg_atTopFilter.comap_inv_atTop · cited by 0Filter.comap_inv_atTopDFunLike.coe · cited by 62936DFunLike.coeFilter · cited by 8121FilterPreorder · cited by 7952PreorderOrderIso · cited by 874OrderIsoFilter.comap · cited by 546Filter.comapFilter.atBot · cited by 512Filter.atBotOrderIso.dual · cited by 24OrderIso.dualOrderIso.comap_atTop · cited by 6OrderIso.comap_atTopOrderIso.comap_atBotCITED BYCITES

Cites8

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Cited by2

Results whose statement or proof uses this declaration.