OAI/Algebra/Finitistic/Iteration/FunctorObjectIteration.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.LittleFinitistic.functorObjectIteration line 13

    Source documentation

    An actual natural isomorphism identifies every objectwise iterate.

    def functorObjectIteration (e : F ≅ G) (r : ℕ) (Y : C) :
        (F.obj^[r]) Y ≅ (G.obj^[r]) Y := by
    …
  2. def OAI.LittleFinitistic.mapObjectIteration line 22

    Source documentation

    Transport an object isomorphism through an actual repeated functor.

    def mapObjectIteration (F : C ⥤ C) {X Y : C} (e : X ≅ Y) (r : ℕ) :
        (F.obj^[r]) X ≅ (F.obj^[r]) Y := by
    …