Theorems · Theorem · group theory

Subrepresentation.mem_asSubmodule_iff

∀ {A : Type u_1} {G : Type u_2} {W : Type u_3} [inst : CommSemiring A] [inst_1 : Monoid G] [inst_2 : AddCommMonoid W]
  [inst_3 : Module A W] {ρ : Representation A G W} {σ : Subrepresentation ρ} {v : W}, v ∈ σ.asSubmodule ↔ v ∈ σ

Defined in

Mathlib.RepresentationTheory.Subrepresentation

Cited by

0 results in Mathlib

Foundations

Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringMonoidAddCommMonoidModule