Theorems · Theorem · group theory
FDRep.dualTensorIsoLinHom_hom_hom
∀ {k : Type u} {G : Type v} {V : Type u} [inst : Field k] [inst_1 : Group G] [inst_2 : AddCommGroup V]
[inst_3 : Module k V] [inst_4 : FiniteDimensional k V] (ρV : Representation k G V) (W : FDRep k G),
(FDRep.dualTensorIsoLinHom ρV W).hom.hom = CategoryTheory.ConcreteCategory.ofHom (dualTensorHom k V ↑W.V)- Defined in
- Mathlib.RepresentationTheory.FDRep
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites29
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement · cited by 10,215
- CategoryTheory.Iso.homstatement · cited by 7,684
- Fieldstatement and proof · cited by 7,404
- Groupstatement and proof · cited by 6,238
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- FiniteDimensionalstatement and proof · cited by 1,854
- ModuleCatstatement · cited by 1,429
- CategoryTheory.ObjectProperty.FullSubcategory.objstatement · cited by 1,316
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