Theorems · Definition · linear algebra

LinearMap.GeneralLinearGroup.toLinearEquiv

{R : Type u_1} →
  {M : Type u_2} →
    [inst : Semiring R] →
      [inst_1 : AddCommMonoid M] → [inst_2 : Module R M] → LinearMap.GeneralLinearGroup R M → M ≃ₗ[R] M

An invertible linear map f determines an equivalence from M to itself.

Defined in

Mathlib.LinearAlgebra.GeneralLinearGroup.Basic

Cited by

9 results in Mathlib

Foundations

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

Assumes

SemiringAddCommMonoidModule