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Theorems · Definition · category theory

Action.FunctorCategoryEquivalence.functor

{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) (CategoryTheory.Functor (CategoryTheory.SingleObj G) V)

Auxiliary definition for functorCategoryEquivalence.

Defined in
Mathlib.CategoryTheory.Action.Basic
Cited by
14 results in Mathlib
Foundations
Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryMonoid

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Action.functorCategoryEquivalence · cited by 15Action.functorCategoryEqu…Action.FunctorCategoryEquivalence.unitIso · cited by 3FunctorCategoryEquivalenc…Action.FunctorCategoryEquivalence.counitIso · cited by 3FunctorCategoryEquivalenc…Action.FunctorCategoryEquivalence.unitIso_hom_app_hom · cited by 0FunctorCategoryEquivalenc…Action.FunctorCategoryEquivalence.unitIso_inv_app_hom · cited by 0FunctorCategoryEquivalenc…Action.functorCategoryEquivalence_counitIso · cited by 0Action.functorCategoryEqu…Action.functorCategoryEquivalence_functor · cited by 0Action.functorCategoryEqu…Action.functorCategoryEquivalence_unitIso · cited by 0Action.functorCategoryEqu…Action.FunctorCategoryEquivalence.counitIso_hom_app_app · cited by 0FunctorCategoryEquivalenc…Action.FunctorCategoryEquivalence.counitIso_inv_app_app · cited by 0FunctorCategoryEquivalenc…Action.FunctorCategoryEquivalence.functor_map_app · cited by 0FunctorCategoryEquivalenc…Action.FunctorCategoryEquivalence.functor_obj_map · cited by 0FunctorCategoryEquivalenc…Action.FunctorCategoryEquivalence.functor_obj_obj · cited by 0FunctorCategoryEquivalenc…Action.FunctorCategoryEquivalence.functor_δ · cited by 0FunctorCategoryEquivalenc…Action.FunctorCategoryEquivalence.functor_ε · cited by 0FunctorCategoryEquivalenc…DFunLike.coe · cited by 62936DFunLike.coeCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorMonoid · cited by 3887MonoidAction · cited by 206ActionAction.V · cited by 176Action.VCategoryTheory.SingleObj · cited by 88CategoryTheory.SingleObjAction.Hom.hom · cited by 86Hom.homAction.ρ · cited by 51Action.ρAction.Hom.comm · cited by 7Hom.commFunctorCategoryEquivalence.fu…CITED BYCITES

Cites11

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by17

Results whose statement or proof uses this declaration.