Theorems · Definition · geometry

AffineSubspace.pointwiseVAdd

{k : Type u_2} →
  {V : Type u_3} →
    {P : Type u_4} →
      [inst : Ring k] →
        [inst_1 : AddCommGroup V] → [inst_2 : Module k V] → [inst_3 : AddTorsor V P] → VAdd V (AffineSubspace k P)

The additive action on an affine subspace corresponding to applying the action to every element. This is available as an instance in the Pointwise locale.

Defined in

Mathlib.LinearAlgebra.AffineSpace.Pointwise

Cited by

8 results in Mathlib

Foundations

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

Assumes

RingAddCommGroupModuleAddTorsor