Theorems · Definition · group theory

Rep.unitIsoAddEquiv

{k : Type u} →
  {G : Type v} →
    [inst : CommRing k] →
      [inst_1 : Monoid G] →
        {V : Rep.{w, u, v} k G} → ↑V ≃+ ↑((Rep.toModuleMonoidAlgebra.comp Rep.ofModuleMonoidAlgebra).obj V)

Auxiliary definition for equivalenceModuleMonoidAlgebra.

Defined in: Mathlib.RepresentationTheory.Rep.Iso
Cited by: 1 results in Mathlib
Foundations: Depth 97 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 · cited by 19,642
CommRingstatement and proof · cited by 17,173
CategoryTheory.Functor.compstatement · cited by 6,529
Monoidstatement and proof · cited by 3,887
LinearEquiv.symmproof · cited by 1,461
ModuleCatstatement · cited by 1,429
AddEquivstatement · cited by 1,087
Repstatement and proof · cited by 843
Rep.Vstatement · cited by 695
MonoidAlgebrastatement and proof · cited by 590
AddEquiv.symmproof · cited by 530
Rep.ρproof · cited by 356

Cited by2

Results whose statement or proof uses this declaration.

Rep.unitIsoproof · cited by 0
Rep.unit_iso_commstatement · cited by 0