Section NormalComplement.
Variables K H G : {group gT}.
Hypothesis complH_K : H \in [complements to K in G].
End NormalComplement.
(* Semi-direct product *)
(* Central product *)

Lemma bigcprodW I (r : seq I) P F G :
\big[cprod/1]_(i <- r | P i) F i = G -> \prod_(i <- r | P i) F i = G.