Arguments normedTI_P {A G L}.

(* Specifications: *)
Lemma normedTI_memJ_P A G L :
reflect [/\ A != set0, L \subset G
& {in A & G, forall a g, (a ^ g \in A) = (g \in L)}]
(normedTI A G L).
Lemma partition_class_support A G :
A != set0 -> trivIset (A :^: G) -> partition (A :^: G) (class_support A G).
Lemma partition_normedTI A G L :
normedTI A G L -> partition (A :^: G) (class_support A G).
Lemma normedTI_S A B G L :
A != set0 -> L \subset 'N(A) -> A \subset B -> normedTI B G L ->
normedTI A G L.
Lemma cent1_normedTI A G L :
normedTI A G L -> {in A, forall x, 'C_G[x] \subset L}.
Lemma Frobenius_actionP G H :
reflect (has_Frobenius_action G H) [Frobenius G with complement H].