Theorems · Definition · linear algebra

LinearMap.GeneralLinearGroup.generalLinearEquiv

(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

The general linear group on R and M is multiplicatively equivalent to the type of linear equivalences between M and itself.

Defined in

Mathlib.LinearAlgebra.GeneralLinearGroup.Basic

Cited by

7 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Quot.sound

Assumes

SemiringAddCommMonoidModule