Theorems · Theorem · group theory
TannakaDuality.FiniteGroup.toRightFDRepComp_injective
∀ {k G : Type u} [inst : CommRing k] [inst_1 : Group G] [inst_2 : Finite G]
{η₁ η₂ : CategoryTheory.Aut (TannakaDuality.FiniteGroup.forget k G)},
η₁.hom.hom.app TannakaDuality.FiniteGroup.rightFDRep = η₂.hom.hom.app TannakaDuality.FiniteGroup.rightFDRep → η₁ = η₂- Defined in
- Mathlib.RepresentationTheory.Tannaka
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites48
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Functor.mapproof · cited by 8,698
- Fintypeproof · cited by 7,736
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- Groupstatement and proof · cited by 6,238
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- Finitestatement and proof · cited by 3,029
Cited by1
Results whose statement or proof uses this declaration.
- TannakaDuality.FiniteGroup.equivHom_surjectiveproof · cited by 0