Theorems · Theorem · order theory
List.SortedGT.pairwise
∀ {α : Type u_1} {l : List α} [inst : Preorder α], l.SortedGT → List.Pairwise (fun x1 x2 => x1 > x2) lAlias of the forward direction of List.sortedGT_iff_pairwise.
- Defined in
- Mathlib.Data.List.Sort
- Cited by
- 3 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.SortedGTstatement · cited by 54
- List.sortedGT_iff_pairwiseproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- List.SortedGT.eq_of_mem_iffproof · cited by 1
- List.SortedGT.lt_ord_of_ltproof · cited by 1
- List.Subset.antisymm_of_sortedGTproof · cited by 0