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Theorems · Theorem · order theory

OrderEmbedding.sortedLT_listMap

∀ {α : Type u_1} {β : Type u_2} [inst : Preorder α] [inst_1 : Preorder β] (e : α ↪o β) {l : List α},
  (List.map (⇑e) l).SortedLT ↔ l.SortedLT
Defined in
Mathlib.Data.List.Sort
Cited by
2 results in Mathlib
Foundations
Depth 68 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.

StrictMono.sortedLT_listMap · cited by 0StrictMono.sortedLT_listM…OrderIso.sortedLT_listMap · cited by 0OrderIso.sortedLT_listMapDFunLike.coe · cited by 62936DFunLike.coePreorder · cited by 7952PreorderOrderEmbedding · cited by 619OrderEmbeddingList.SortedLT · cited by 66List.SortedLTOrderEmbedding.ltEmbedding · cited by 9OrderEmbedding.ltEmbeddingRelEmbedding.pairwise_listMap · cited by 3RelEmbedding.pairwise_lis…OrderEmbedding.sortedLT_listM…CITED BYCITES

Cites6

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Cited by2

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