Theorems · Definition · geometry

AffineSubspace.Parallel

{k : Type u_1} →
  {V : Type u_2} →
    {P : Type u_4} →
      [inst : Ring k] →
        [inst_1 : AddCommGroup V] →
          [inst_2 : Module k V] → [inst_3 : AddTorsor V P] → AffineSubspace k P → AffineSubspace k P → Prop

Two affine subspaces are parallel if one is related to the other by adding the same vector to all points.

Defined in

Mathlib.LinearAlgebra.AffineSpace.AffineSubspace.Basic

Cited by

19 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Quot.sound

Assumes

RingAddCommGroupModuleAddTorsor