Theorems · Theorem · convex and discrete geometry

wbtw_rotate_iff

∀ (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] [IsOrderedRing R] [IsDomain R] [Module.IsTorsionFree R V] {y z : P}
  (x : P), Wbtw R x y z ∧ Wbtw R z x y ↔ x = y

Defined in

Mathlib.Analysis.Convex.Between

Cited by

1 results in Mathlib

Foundations

Depth 52 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingPartialOrderAddCommGroupModuleAddTorsorIsOrderedRingIsDomainModule.IsTorsionFree