Theorems · Theorem · group theory
Rep.tensorHomEquiv_apply
∀ {k : Type u} [inst : CommRing k] {G : Type v} [inst_1 : Group G] (A B C : Rep.{u, u, v} k G)
(f : CategoryTheory.MonoidalCategoryStruct.tensorObj A B ⟶ C),
(A.tensorHomEquiv B C) f =
Rep.ofHom { toLinearMap := (TensorProduct.curry (Rep.Hom.hom f).toLinearMap).flip, isIntertwining' := ⋯ }- Defined in
- Mathlib.RepresentationTheory.Rep.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Quot.sound
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Cites21
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- DFunLike.coestatement and proof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- LinearMapstatement · cited by 10,215
- Equivstatement · cited by 8,337
- Groupstatement and proof · cited by 6,238
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement and proof · cited by 3,106
- Repstatement and proof · cited by 843
- Rep.Vstatement · cited by 695
- Rep.ρstatement · cited by 356
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