(* Some invariants of the system TCG *)
Definition Inv1 (s : StGlobal) :=
match s with
| ((st, _), ((sc, _), (sg, _))) =>
st = Near \/ st = Inside -> sc = Sc3 -> sg = Closed \/ sg = Lowering
end.

Lemma lema_Inv1 : ForAll TrGlobal SiniTCG Inv1.
Definition Inv2 (s : StGlobal) :=
match s with
| ((st, _), ((sc, _), (sg, _))) =>
st = Far -> sg = Open \/ sg = Raising -> sc = Sc1
end.