Theorems · Definition · category theory
Action.Hom.hom
{V : Type u_1} →
[inst : CategoryTheory.Category.{v_1, u_1} V] →
{G : Type u_2} → [inst_1 : Monoid G] → {M N : Action V G} → M.Hom N → (M.V ⟶ N.V)The morphism between the underlying objects of this action
- Defined in
- Mathlib.CategoryTheory.Action.Basic
- Cited by
- 86 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- Monoidstatement and proof · cited by 3,887
- Actionstatement and proof · cited by 206
- Action.Vstatement · cited by 176
- Action.Homstatement and proof · cited by 11
Cited by99
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.mapActionproof · cited by 21
- Action.forgetproof · cited by 17
- Action.resproof · cited by 17
- Representation.linearizeMapproof · cited by 15
- Action.FunctorCategoryEquivalence.functorproof · cited by 14
- Action.Hom.commstatement · cited by 7
- Representation.linearizeMap_toLinearMapstatement · cited by 6
- Action.Hom.extstatement and proof · cited by 3
- Rep.ActionToRepproof · cited by 3
- Action.hom_extstatement and proof · cited by 3
- Representation.linearizeMap_singlestatement and proof · cited by 3
- Action.whiskerLeft_homstatement and proof · cited by 3