Theorems · Definition · geometry

midpoint

(R : Type u_1) →
  {V : Type u_2} →
    {P : Type u_4} →
      [inst : Ring R] → [Invertible 2] → [inst_2 : AddCommGroup V] → [Module R V] → [AddTorsor V P] → P → P → P

midpoint x y is the midpoint of the segment [x, y].

Defined in

Mathlib.LinearAlgebra.AffineSpace.Midpoint

Cited by

123 results in Mathlib

Foundations

Depth 45 from the axioms, rests on 688 definitions · uses propext, Quot.sound

Assumes

RingInvertibleAddCommGroupModuleAddTorsor