Mathlib Map

Theorems · Definition · group theory

Rep.RepToAction_ActionToRep

(k : Type u) →
  (G : Type v) →
    [inst : Ring k] →
      [inst_1 : Monoid G] → (A : Action (ModuleCat k) G) → (Rep.RepToAction k G).obj ((Rep.ActionToRep k G).obj A) ≅ A

unitIso of the equivalence between Action and Rep.

Defined in
Mathlib.RepresentationTheory.Rep.Basic
Cited by
0 results in Mathlib
Foundations
Depth 57 from the axioms · uses propext, Quot.sound
Assumes
RingMonoid
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Rep.repIsoAction · cited by 0Rep.repIsoActionCategoryTheory.Functor.obj · cited by 19642Functor.objRing · cited by 7463RingCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idCategoryTheory.Iso · cited by 3963CategoryTheory.IsoMonoid · cited by 3887MonoidModuleCat · cited by 1429ModuleCatRep · cited by 843RepAction · cited by 206ActionAction.V · cited by 176Action.VRep.RepToAction · cited by 4Rep.RepToActionRep.ActionToRep · cited by 3Rep.ActionToRepRep.RepToAction_ActionToRepCITED BYCITES

Cites11

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.