If F is a functor linking category C to category D, and G is a functor linking category C to category E,(and assuming that both functors are bijections), does this imply that there is a unique natural transformation from functor F to functor G?
If F is a functor linking category C to category D, and G is a functor linking category C to category E,(and assuming that both functors are bijections), does this imply that there is a unique natural transformation from functor F to functor G?