Theorems · Definition · group theory
FDRep.isoToLinearEquiv
{R : Type u} → {G : Type v} → [inst : CommRing R] → [inst_1 : Monoid G] → {V W : FDRep R G} → (V ≅ W) → ↑V.V ≃ₗ[R] ↑W.VThe underlying LinearEquiv of an isomorphism of representations.
- Defined in
- Mathlib.RepresentationTheory.FDRep
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Isostatement and proof · cited by 3,963
- Monoidstatement and proof · cited by 3,887
- LinearEquivstatement · cited by 3,317
- ModuleCatstatement · cited by 1,429
- CategoryTheory.ObjectProperty.FullSubcategory.objstatement · cited by 1,316
- CategoryTheory.Functor.mapIsoproof · cited by 224
- Action.Vstatement · cited by 176
- ModuleCat.isFGstatement · cited by 53
- FGModuleCatstatement and proof · cited by 52
- FDRepstatement and proof · cited by 33
Cited by2
Results whose statement or proof uses this declaration.
- FDRep.Iso.conj_ρstatement · cited by 1
- FDRep.char_isoproof · cited by 1