proposition: Lemma cfQuo_cfun1 : (1 / B)%CF = 1.
proof: Proof. apply/cfun_inP=> Hx G_Hx; rewrite cfunElock !cfun1E G_Hx cfker_cfun1 -gen_subG. have [x nHx Gx ->] := morphimP G_Hx. case: subsetP=> [sHG | _]; last by rewrite group1. by rewrite val_coset_prim //; case: repr_rcosetP => y /sHG/groupM->. Qed.
imports: HB(structures) mathcomp(ssreflect ssrbool ssrfun eqtype ssrnat seq path) mathcomp(div choice fintype tuple finfun bigop prime order) mathcomp(ssralg poly finset fingroup morphism perm) mathcomp(automorphism quotient finalg action gproduct) mathcomp(zmodp commutator cyclic center pgroup sylow) mathcomp(matrix vector falgebra ssrnum algC algnum) mathcomp(archimedean)