proposition: Lemma sub_cfker_constt_Ind_irr (A : {set gT}) i j : i \in irr_constt ('Ind[G, H] 'chi_j) -> A \subset H -> H \subset G -> G \subset 'N(A) -> (A \subset cfker 'chi_j) = (A \subset cfker 'chi_i).
proof: Proof. by rewrite constt_Ind_Res; apply: sub_cfker_constt_Res_irr. Qed.
imports: mathcomp.ssreflect.ssreflect mathcomp(ssrbool ssrfun eqtype ssrnat seq path div choice fintype) mathcomp(tuple finfun bigop prime order ssralg finset fingroup morphism) mathcomp(perm automorphism quotient action zmodp finalg center commutator) mathcomp(poly cyclic pgroup nilpotent matrix mxalgebra mxrepresentation) mathcomp(vector falgebra fieldext ssrnum algC rat algnum galois) mathcomp(classfun character inertia integral_char vcharacter)