Theorems · Definition · geometry

AffineEquiv.vaddConst

(k : Type u_1) →
  {P₁ : Type u_2} →
    {V₁ : Type u_6} →
      [inst : Ring k] →
        [inst_1 : AddCommGroup V₁] → [inst_2 : Module k V₁] → [inst_3 : AddTorsor V₁ P₁] → P₁ → V₁ ≃ᵃ[k] P₁

The map v ↦ v +ᵥ b as an affine equivalence between a module V and an affine space P with tangent space V.

Defined in

Mathlib.LinearAlgebra.AffineSpace.AffineEquiv

Cited by

12 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Quot.sound

Assumes

RingAddCommGroupModuleAddTorsor