Theorems · Definition · geometry

AffineSubspace.topEquiv

(k : Type u_1) →
  (V : Type u_2) →
    (P : Type u_3) →
      [inst : Ring k] → [inst_1 : AddCommGroup V] → [inst_2 : Module k V] → [S : AddTorsor V P] → ↥⊤ ≃ᵃ[k] P

The top affine subspace is linearly equivalent to the affine space. This is the affine version of Submodule.topEquiv.

Defined in

Mathlib.LinearAlgebra.AffineSpace.AffineSubspace.Basic

Cited by

3 results in Mathlib

Foundations

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

Assumes

RingAddCommGroupModuleAddTorsor