proposition: Lemma prTIirr_aut u i j : mu2_ (aut_Iirr u i) (aut_Iirr u j) = cfAut u (mu2_ i j).
proof: Proof. rewrite -!(canLR (signrZK _) (cycTIiso_prTIirr _ _)) -!/(delta_ _). by rewrite prTIsign_aut raddfZsign /= cfAut_cycTIiso -cycTIirr_aut. Qed.
imports: mathcomp.ssreflect.ssreflect mathcomp(ssrbool ssrfun eqtype ssrnat seq path div choice fintype) mathcomp(tuple finfun bigop order prime ssralg poly finset fingroup) mathcomp(morphism perm automorphism quotient action gfunctor gproduct) mathcomp(center commutator zmodp cyclic pgroup nilpotent hall frobenius) mathcomp(matrix mxalgebra mxrepresentation vector ssrnum algC classfun) mathcomp(character inertia vcharacter) odd_order(PFsection1 PFsection2 PFsection3)