Theorems · Theorem · group theory
TannakaDuality.FiniteGroup.equivHom_apply
∀ (k G : Type u) [inst : CommRing k] [inst_1 : Group G] (g : G),
(TannakaDuality.FiniteGroup.equivHom k G) g =
CategoryTheory.LaxMonoidalFunctor.isoOfComponents (TannakaDuality.FiniteGroup.equivApp g) ⋯ ⋯ ⋯- Defined in
- Mathlib.RepresentationTheory.Tannaka
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 91 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.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Groupstatement and proof · cited by 6,238
- CategoryTheory.Isostatement · cited by 3,963
- MonoidHomstatement · cited by 3,629
- ModuleCatstatement · cited by 1,429
- CategoryTheory.LaxMonoidalFunctorstatement · cited by 96
- CategoryTheory.Autstatement · cited by 96
- ModuleCat.isFGstatement · cited by 53
- FGModuleCatstatement · cited by 52
- FDRepstatement · cited by 33
- TannakaDuality.FiniteGroup.forgetstatement · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- TannakaDuality.FiniteGroup.equivHom_injectiveproof · cited by 0