Theorems · Definition · group theory

Rep.counitIso

{k : Type u} →
  {G : Type v} →
    [inst : CommRing k] →
      [inst_1 : Monoid G] →
        (M : ModuleCat (MonoidAlgebra k G)) → (Rep.ofModuleMonoidAlgebra.comp Rep.toModuleMonoidAlgebra).obj M ≅ M

Auxiliary definition for equivalenceModuleMonoidAlgebra.

Defined in: Mathlib.RepresentationTheory.Rep.Iso
Cited by: 0 results in Mathlib
Foundations: Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing Monoid

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Cites19

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

CategoryTheory.Functor.objstatement and proof · cited by 19,642
CommRingstatement and proof · cited by 17,173
CategoryTheory.Functor.compstatement and proof · cited by 6,529
CategoryTheory.Isostatement · cited by 3,963
Monoidstatement and proof · cited by 3,887
ModuleCatstatement and proof · cited by 1,429
AddEquivproof · cited by 1,087
ModuleCat.carrierproof · cited by 997
Repstatement · cited by 843
MonoidAlgebrastatement and proof · cited by 590
Rep.ρproof · cited by 356
Equiv.toFunproof · cited by 279

Cited by1

Results whose statement or proof uses this declaration.

Rep.equivalenceModuleMonoidAlgebraproof · cited by 0