Theorems · Theorem · group theory

Rep.MonoidalClosed.linearHomEquivComm_symm_hom

∀ {k : Type u} [inst : CommRing k] {G : Type v} [inst_1 : Group G] (A B C : Rep.{u, u, v} k G) (f : A ⟶ B ⟹ C),
  (Rep.Hom.hom ((Rep.MonoidalClosed.linearHomEquivComm A B C).symm f)).toLinearMap =
    (TensorProduct.uncurry (RingHom.id k) ↑A ↑B ↑C) (Rep.Hom.hom f).toLinearMap

Defined in: Mathlib.RepresentationTheory.Rep.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing Group

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DFunLike.coestatement · cited by 62,936
Quiver.Homstatement and proof · cited by 32,603
CategoryTheory.Functor.objstatement and proof · cited by 19,642
RingHom.idstatement · cited by 18,349
CommRingstatement and proof · cited by 17,173
LinearMapstatement · cited by 10,215
Groupstatement and proof · cited by 6,238
LinearEquivstatement · cited by 3,317
CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
TensorProductstatement · cited by 2,545
LinearEquiv.symmstatement · cited by 1,461
Repstatement and proof · cited by 843

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