fact: Variables (pi : nat_pred) (aT gT : finGroupType).
imports: mathcomp(ssreflect ssrbool ssrfun eqtype ssrnat seq div choice) mathcomp(fintype finset prime fingroup morphism) mathcomp(automorphism quotient action gproduct gfunctor) mathcomp(commutator center pgroup finmodule nilpotent) mathcomp(sylow abelian maximal)