Theorems · Theorem · order theory
Finset.pairwise_sort
∀ {α : Type u_1} (s : Finset α) (r : α → α → Prop) [inst : DecidableRel r] [inst_1 : IsTrans α r]
[inst_2 : Std.Antisymm r] [inst_3 : Std.Total r], List.Pairwise r (s.sort r)- Defined in
- Mathlib.Data.Finset.Sort
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Finset.valproof · cited by 438
- IsTransstatement and proof · cited by 157
- Finset.sortstatement · cited by 42
- Multiset.pairwise_sortproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- Finset.sorted_last_eq_max'_auxproof · cited by 2
- Finset.sorted_zero_eq_min'_auxproof · cited by 2
- Finset.sortedGT_sortproof · cited by 1
- Finset.sortedLT_sortproof · cited by 1
- List.toFinset_sortproof · cited by 1