Theorems · Theorem · geometry

right_eq_midpoint_iff

∀ (R : Type u_1) {V : Type u_2} {P : Type u_4} [inst : Ring R] [inst_1 : Invertible 2] [inst_2 : AddCommGroup V]
  [inst_3 : Module R V] [inst_4 : AddTorsor V P] {x y : P}, y = midpoint R x y ↔ x = y

Defined in

Mathlib.LinearAlgebra.AffineSpace.Midpoint

Cited by

0 results in Mathlib

Foundations

Depth 51 from the axioms · uses propext, Quot.sound

Assumes

RingInvertibleAddCommGroupModuleAddTorsor