End FunctorTheory.
Section PartialFunctorTheory.
Implicit Types gT rT : finGroupType.
Section BasicTheory.
Variable F : GFunctor.pmap.

(* Specifications: *)
Lemma gFhereditary : GFunctor.hereditary F.
Lemma pmorphimF : GFunctor.pcontinuous F.
Lemma gFid gT (G : {group gT}) : F gT (F gT G)  = F gT G.
End BasicTheory.