Mathlib Map

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 → Prop

The 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
Assumes
RingPartialOrderAddCommGroupModuleAddTorsor

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.