Theorems · Theorem · order theory
List.SortedGT.getElem_gt_getElem_of_lt
∀ {α : Type u_1} {l : List α} [inst : Preorder α],
l.SortedGT → ∀ ⦃i j : ℕ⦄ ⦃hi : i < l.length⦄ ⦃hj : j < l.length⦄, j < i → l[i] < l[j]Alias of the forward direction of List.sortedGT_iff_getElem_gt_getElem_of_lt.
- Defined in
- Mathlib.Data.List.Sort
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext
- Assumes
- Preorder
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- Preorderstatement and proof · cited by 7,952
- List.SortedGTstatement · cited by 54
- List.sortedGT_iff_getElem_gt_getElem_of_ltproof · cited by 2
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