Theorems · Definition · convex and discrete geometry
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] → P → P → P → PropThe point y is weakly between x and z.
- Defined in
- Mathlib.Analysis.Convex.Between
- Cited by
- 165 results in Mathlib
- Foundations
- Depth 46 from the axioms, rests on 696 definitions · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- affineSegmentproof · cited by 22
Cited by172
Results whose statement or proof uses this declaration.
- Sbtwproof · cited by 122
- Sbtw.wbtwstatement · cited by 37
- List.Wbtwproof · cited by 15
- Wbtw.symmstatement · cited by 13
- wbtw_commstatement and proof · cited by 11
- Wbtw.collinearstatement and proof · cited by 6
- Sbtw.angle₁₂₃_eq_piproof · cited by 6
- EuclideanGeometry.oangle_eq_of_dist_orthogonalProjection_eqproof · cited by 5
- Wbtw.angle₂₁₃_eq_zero_of_nestatement and proof · cited by 5
- wbtw_vsub_const_iffstatement · cited by 5
- sbtw_commproof · cited by 5
- mem_segment_iff_wbtwstatement · cited by 4