Theorems · Definition · linear algebra

Matrix.Module.matrixModule

{ι : Type u_1} →
  {R : Type u_2} →
    {M : Type u_3} →
      [inst : Ring R] →
        [inst_1 : Fintype ι] →
          [inst_2 : DecidableEq ι] → [inst_3 : AddCommGroup M] → [Module R M] → Module (Matrix ι ι R) (ι → M)

Mⁿ is a Mₙ(R) module, note that this creates a diamond when M is Matrix ι ι R or when M is R.

Defined in

Mathlib.LinearAlgebra.Matrix.Module

Cited by

14 results in Mathlib

Foundations

Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingFintypeDecidableEqAddCommGroupModule