Definition eqg_repr := subg_repr eqg_repr_proof.

(* Specifications: *)
Lemma rcent_eqg U : rcent rH U = rcent rG U.
Lemma rstab_eqg : rstab rH U = rstab rG U.
Lemma rker_eqg : rker rH = rker rG.
Lemma eqg_mx_faithful : mx_faithful rH = mx_faithful rG.