Theorems · Definition · geometry

LinearEquiv.toAffineEquiv

{k : Type u_1} →
  {V₁ : Type u_6} →
    {V₂ : Type u_7} →
      [inst : Ring k] →
        [inst_1 : AddCommGroup V₁] →
          [inst_2 : AddCommGroup V₂] → [inst_3 : Module k V₁] → [inst_4 : Module k V₂] → (V₁ ≃ₗ[k] V₂) → V₁ ≃ᵃ[k] V₂

Interpret a linear equivalence between modules as an affine equivalence.

Defined in

Mathlib.LinearAlgebra.AffineSpace.AffineEquiv

Cited by

2 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Quot.sound

Assumes

RingAddCommGroupAddCommGroupModuleModule