OAI/Algebra/Finitistic/Iteration/FunctorObjectIteration.lean
2 declarations, 0 contain sorry, 0 declared as axioms
- def
OAI.LittleFinitistic.functorObjectIterationline 13Source 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 … - def
OAI.LittleFinitistic.mapObjectIterationline 22Source 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 …