Canonical rconj_repr := MxRepresentation rconj_mx_repr.Local Notation rGB := rconj_repr.

(* Specifications: *)
Lemma rconj_mxE x : rGB x = B *m rG x *m invmx B.
Lemma rcent_conj A : rcent rGB A = rcent rG (invmx B *m A *m B).
Lemma rker_conj : rker rGB = rker rG.
Lemma conj_mx_faithful : mx_faithful rGB = mx_faithful rG.
Lemma quo_mx_repr : mx_repr (G / H)%g (quo_mx krH nHG).