Theorems · Theorem · convex and discrete geometry

wbtw_midpoint

∀ (R : Type u_1) {V : Type u_2} {P : Type u_4} [inst : Field R] [inst_1 : LinearOrder R]
  [inst_2 : IsStrictOrderedRing R] [inst_3 : AddCommGroup V] [inst_4 : Module R V] [inst_5 : AddTorsor V P] (x y : P),
  Wbtw R x (midpoint R x y) y

Defined in

Mathlib.Analysis.Convex.Between

Cited by

2 results in Mathlib

Foundations

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

Assumes

FieldLinearOrderIsStrictOrderedRingAddCommGroupModuleAddTorsor