Theorems · Definition · geometry

AffineSubspace.subtype

{k : Type u_1} →
  {V : Type u_2} →
    {P : Type u_3} →
      [inst : Ring k] →
        [inst_1 : AddCommGroup V] →
          [inst_2 : Module k V] →
            [inst_3 : AddTorsor V P] → (s : AffineSubspace k P) → [inst_4 : Nonempty ↥s] → ↥s →ᵃ[k] P

Embedding of an affine subspace to the ambient space, as an affine map.

Defined in

Mathlib.LinearAlgebra.AffineSpace.AffineSubspace.Basic

Cited by

20 results in Mathlib

Foundations

Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModuleAddTorsorNonempty