Theorems · Definition · group theory

Subrepresentation.toSubmodule

{A : Type u_1} →
  {G : Type u_2} →
    {W : Type u_3} →
      [inst : Semiring A] →
        [inst_1 : Monoid G] →
          [inst_2 : AddCommMonoid W] →
            [inst_3 : Module A W] → {ρ : Representation A G W} → Subrepresentation ρ → Submodule A W

A subrepresentation is a submodule.

Defined in

Mathlib.RepresentationTheory.Subrepresentation

Cited by

9 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Quot.sound

Assumes

SemiringMonoidAddCommMonoidModule