Theorems · Theorem · group theory
Rep.inv_hom_apply
∀ {k : Type u} {G : Type v} [inst : Semiring k] [inst_1 : Monoid G] (A B : Rep.{w, u, v} k G) (e : A ≅ B) (x : ↑A),
(Rep.Hom.hom e.inv) ((Rep.Hom.hom e.hom) x) = x- Defined in
- Mathlib.RepresentationTheory.Rep.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 48 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- CategoryTheory.Iso.homstatement · cited by 7,684
- CategoryTheory.Iso.invstatement · cited by 6,514
- CategoryTheory.Isostatement and proof · cited by 3,963
- Monoidstatement and proof · cited by 3,887
- Repstatement and proof · cited by 843
- Rep.Vstatement and proof · cited by 695
- Rep.ρstatement · cited by 356
- Representation.IntertwiningMapstatement · cited by 261
- Rep.Hom.homstatement · cited by 190
- CategoryTheory.Iso.hom_inv_id_applyproof · cited by 50
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