Theorems · Theorem · group theory
Rep.ActionToRep_map
∀ (k : Type u) (G : Type v) [inst : Ring k] [inst_1 : Monoid G] {X Y : Action (ModuleCat k) G} (f : X ⟶ Y),
(Rep.ActionToRep k G).map f = Rep.ofHom { toLinearMap := ModuleCat.Hom.hom f.hom, isIntertwining' := ⋯ }- Defined in
- Mathlib.RepresentationTheory.Rep.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Quot.sound
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Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- RingHom.idstatement · cited by 18,349
- LinearMapstatement · cited by 10,215
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- Ringstatement and proof · cited by 7,463
- Monoidstatement and proof · cited by 3,887
- ModuleCatstatement and proof · cited by 1,429
- ModuleCat.carrierstatement · cited by 997
- Repstatement · cited by 843
- MonoidHom.compstatement · cited by 469
- ModuleCat.Hom.homstatement · cited by 341
- Actionstatement and proof · cited by 206
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