Theorems · Theorem · convex and discrete geometry

sbtw_pointReflection_of_ne

∀ (R : Type u_1) {V : Type u_2} {P : Type u_4} [inst : Field R] [inst_1 : LinearOrder R] [IsStrictOrderedRing R]
  [inst_3 : AddCommGroup V] [inst_4 : Module R V] [inst_5 : AddTorsor V P] {x y : P},
  x ≠ y → Sbtw R y x ((AffineEquiv.pointReflection R x) y)

Defined in

Mathlib.Analysis.Convex.Between

Cited by

5 results in Mathlib

Foundations

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

Assumes

FieldLinearOrderIsStrictOrderedRingAddCommGroupModuleAddTorsor