Theorems · Theorem · order theory
List.Pairwise.sortedGE
∀ {α : Type u_1} {l : List α} [inst : Preorder α], List.Pairwise (fun x1 x2 => x1 ≥ x2) l → l.SortedGEAlias of the reverse direction of List.sortedGE_iff_pairwise.
- Defined in
- Mathlib.Data.List.Sort
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Preorder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- List.SortedGEstatement · cited by 54
- List.sortedGE_iff_pairwiseproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- YoungDiagram.rowLens_sortedproof · cited by 1
- Finset.sortedGT_sortproof · cited by 1
- List.sortedGE_mergeSortproof · cited by 0
- List.sortedGE_insertionSortproof · cited by 0