Axiom not_le_lt : forall x y : nat, ~ x <= y -> y < x.

(* Specifications: *)
Lemma Trivial33 : forall x : Clock, le_Ck x kc1 -> ~ le_Ck (Inc x) kc1 -> eq_Ck x kc1.
Lemma Trivial34 : forall x : Clock, lt_Ck x kg3 -> ~ lt_Ck (Inc x) kg3 -> ge_Ck x kg2.
Lemma trivial_inv_1 : lt_Ck Reset kt2.
Lemma trivial_inv_2 : forall x : Clock, le_Ck Reset x.
Lemma trivial_inv_3 : lt_Ck Reset kc2.
Lemma trivial_inv_4 : lt_Ck Reset kg1.
Lemma trivial_inv_5 : lt_Ck Reset kg3.