Theorems · Definition · order theory
List.SortedLE
{α : Type u_1} → [Preorder α] → List α → Propl.SortedLE means that the list is monotonic.
- Defined in
- Mathlib.Data.List.Sort
- Cited by
- 57 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext
- Assumes
- Preorder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by57
Results whose statement or proof uses this declaration.
- List.SortedLE.pairwisestatement · cited by 8
- List.Pairwise.sortedLEstatement · cited by 7
- List.SortedLE.wbtwstatement and proof · cited by 3
- List.SortedLT.sortedLEstatement · cited by 3
- List.sortedLE_iff_pairwisestatement · cited by 3
- List.SortedLE.sortedLT_of_nodupstatement and proof · cited by 2
- List.sortedGE_map_ofDualstatement · cited by 2
- List.sortedGE_map_toDualstatement · cited by 2
- List.sortedGE_reversestatement · cited by 2
- List.sortedLE_iff_getElem_le_getElem_of_lestatement and proof · cited by 2
- List.sortedLE_iff_isChainstatement · cited by 2
- List.sortedLE_iff_monotone_getstatement · cited by 2