Theorems · Definition · convex and discrete geometry
Sbtw
(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 strictly between x and z.
- Defined in
- Mathlib.Analysis.Convex.Between
- Cited by
- 122 results in Mathlib
- Foundations
- Depth 47 from the axioms, rests on 697 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
- Wbtwproof · cited by 165
Cited by124
Results whose statement or proof uses this declaration.
- Sbtw.wbtwstatement and proof · cited by 37
- Sbtw.left_nestatement and proof · cited by 14
- IsVisibleproof · cited by 12
- Sbtw.symmstatement · cited by 11
- Sbtw.ne_leftstatement and proof · cited by 8
- Sbtw.ne_rightstatement and proof · cited by 8
- Sbtw.left_ne_rightstatement and proof · cited by 7
- Sbtw.angle₁₂₃_eq_pistatement and proof · cited by 6
- Sbtw.oangle_eq_rightstatement and proof · cited by 6
- Sbtw.right_nestatement and proof · cited by 6
- EuclideanGeometry.angle_eq_pi_iff_sbtwstatement and proof · cited by 6
- Sbtw.oangle_eq_leftstatement and proof · cited by 5