proposition: Lemma cfMorph_char chi : chi \is a character -> cfMorph chi \is a character.
proof: Proof. have [sGD /char_reprP[rfG ->] | outGD Nchi] := boolP (G \subset D); last first. by rewrite cfMorphEout // rpredZ_nat ?rpred1 ?Cnat_char1. apply/char_reprP; exists (Representation (morphim_repr rfG sGD)). by rewrite cfRepr_morphim. Qed.
imports: HB(structures) mathcomp(ssreflect ssrbool ssrfun eqtype choice ssrnat seq) mathcomp(path div fintype tuple finfun bigop prime order) mathcomp(ssralg poly finset gproduct fingroup morphism) mathcomp(perm automorphism quotient finalg action zmodp) mathcomp(commutator cyclic center pgroup nilpotent sylow) mathcomp(abelian matrix mxalgebra mxpoly mxrepresentation) mathcomp(vector ssrnum algC classfun archimedean)