Theorems · Definition · convex and discrete geometry
List.Wbtw
(R : Type u_1) →
{V : Type u_2} →
{P : Type u_4} →
[inst : Ring R] → [PartialOrder R] → [inst_2 : AddCommGroup V] → [Module R V] → [AddTorsor V P] → List P → PropThe points in a list are weakly in that order on a line.
- Defined in
- Mathlib.Analysis.Convex.BetweenList
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 47 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- PartialOrderstatement and proof · cited by 6,410
- AddTorsorstatement and proof · cited by 1,657
- Wbtwproof · cited by 165
- List.Triplewiseproof · cited by 15
Cited by16
Results whose statement or proof uses this declaration.
- List.Sbtwproof · cited by 14
- List.SortedLE.wbtwstatement · cited by 3
- List.Wbtw.mapstatement and proof · cited by 3
- List.wbtw_consstatement · cited by 2
- Function.Injective.list_sbtw_map_iffproof · cited by 2
- Function.Injective.list_wbtw_map_iffstatement and proof · cited by 2
- List.exists_map_eq_of_sorted_nonempty_iff_wbtwstatement and proof · cited by 2
- List.sbtw_iff_triplewise_and_ne_pairproof · cited by 1
- List.wbtw_fourstatement · cited by 0
- List.wbtw_nilstatement · cited by 0
- List.wbtw_pairstatement · cited by 0
- List.wbtw_singletonstatement · cited by 0