Theorems · Theorem · convex and discrete geometry

List.wbtw_four

∀ {R : Type u_1} {V : Type u_2} {P : Type u_4} [inst : Ring R] [inst_1 : PartialOrder R] [inst_2 : AddCommGroup V]
  [inst_3 : Module R V] [inst_4 : AddTorsor V P] {p₁ p₂ p₃ p₄ : P},
  List.Wbtw R [p₁, p₂, p₃, p₄] ↔ Wbtw R p₁ p₂ p₃ ∧ Wbtw R p₁ p₂ p₄ ∧ Wbtw R p₁ p₃ p₄ ∧ Wbtw R p₂ p₃ p₄

Defined in

Mathlib.Analysis.Convex.BetweenList

Cited by

0 results in Mathlib

Foundations

Depth 48 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingPartialOrderAddCommGroupModuleAddTorsor