Theorems · Theorem · order theory
List.SortedGT.map_ofDual
∀ {α : Type u_1} [inst : Preorder α] {l : List αᵒᵈ}, (List.map (⇑OrderDual.ofDual) l).SortedGT → l.SortedLTAlias of the forward direction of List.sortedGT_map_ofDual.
- Defined in
- Mathlib.Data.List.Sort
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Preorder
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Equivstatement · cited by 8,337
- Preorderstatement and proof · cited by 7,952
- OrderDualstatement and proof · cited by 927
- OrderDual.ofDualstatement · cited by 400
- List.SortedLTstatement · cited by 66
- List.SortedGTstatement · cited by 54
- List.sortedGT_map_ofDualproof · cited by 2
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