proposition: Lemma cforder_inj_rmorph phi : injective f -> #[f phi]%CF = #[phi]%CF.
proof: Proof. move=> inj_f; apply/eqP; rewrite eqn_dvd cforder_rmorph dvdn_cforder /=. by rewrite -(rmorph_eq1 _ inj_f) rmorphXn exp_cforder. 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)