Theorems · Definition · geometry

AffineEquiv.linear

{k : Type u_1} →
  {P₁ : Type u_2} →
    {P₂ : Type u_3} →
      {V₁ : Type u_4} →
        {V₂ : Type u_5} →
          [inst : Ring k] →
            [inst_1 : AddCommGroup V₁] →
              [inst_2 : AddCommGroup V₂] →
                [inst_3 : Module k V₁] →
                  [inst_4 : Module k V₂] →
                    [inst_5 : AddTorsor V₁ P₁] → [inst_6 : AddTorsor V₂ P₂] → (P₁ ≃ᵃ[k] P₂) → V₁ ≃ₗ[k] V₂

The underlying linear equiv of modules.

Defined in

Mathlib.LinearAlgebra.AffineSpace.AffineEquiv

Cited by

29 results in Mathlib

Foundations

Depth 21 from the axioms · uses propext, Quot.sound

Assumes

RingAddCommGroupAddCommGroupModuleModuleAddTorsorAddTorsor