Theorems · Definition · category theory
Action.forget
(V : Type u_1) →
[inst : CategoryTheory.Category.{v_1, u_1} V] →
(G : Type u_2) → [inst_1 : Monoid G] → CategoryTheory.Functor (Action V G) V(implementation) The forgetful functor from bundled actions to the underlying objects.
Use the CategoryTheory.forget API provided by the ConcreteCategory instance below,
rather than using this directly.
- Defined in
- Mathlib.CategoryTheory.Action.Basic
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- Monoidstatement and proof · cited by 3,887
- Actionstatement and proof · cited by 206
- Action.Vproof · cited by 176
- Action.Hom.homproof · cited by 86
Cited by21
Results whose statement or proof uses this declaration.
- FDRep.isoToLinearEquivproof · cited by 2
- Action.preservesLimitsOfShape_of_preservesstatement and proof · cited by 1
- Action.forget_mapstatement and proof · cited by 1
- FDRep.Iso.conj_ρproof · cited by 1
- CategoryTheory.FintypeCat.Action.isConnected_of_transitiveproof · cited by 1
- CategoryTheory.FintypeCat.Action.pretransitive_of_isConnectedproof · cited by 1
- Action.preservesColimit_of_preservesstatement and proof · cited by 1
- Action.preservesColimitsOfShape_of_preservesstatement and proof · cited by 1
- Action.preservesLimit_of_preservesstatement and proof · cited by 1
- Action.preservesLimitsOfSize_of_preservesstatement and proof · cited by 0
- Action.forget_objstatement and proof · cited by 0
- Action.forget_δstatement · cited by 0