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Theorems · Theorem · order theory

OrderIso.bddAbove_image

∀ {α : Type u} {β : Type v} [inst : Preorder α] [inst_1 : Preorder β] (e : α ≃o β) {s : Set α},
  BddAbove (⇑e '' s) ↔ BddAbove s
Defined in
Mathlib.Order.GaloisConnection.Basic
Cited by
3 results in Mathlib
Foundations
Depth 28 from the axioms · uses propext, Quot.sound
Assumes
PreorderPreorder
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Around this declaration

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

OrderIso.bddAbove_preimage · cited by 2OrderIso.bddAbove_preimagebddAbove_smul_iff_of_pos · cited by 1bddAbove_smul_iff_of_posbddBelow_smul_iff_of_neg · cited by 1bddBelow_smul_iff_of_negDFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetPreorder · cited by 7952PreorderSet.image · cited by 5609Set.imageOrderIso · cited by 874OrderIsoBddAbove · cited by 620BddAboveOrderIso.to_galoisConnection · cited by 32OrderIso.to_galoisConnect…GaloisConnection.bddAbove_l_image · cited by 2GaloisConnection.bddAbove…OrderIso.bddAbove_imageCITED BYCITES

Cites8

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Cited by3

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