proposition: Lemma cause_cause_trans: forall h l l' l'', (cause h l l' /\ cause h l' l'') -> cause h l l''.
proof: Proof. intros. open_conjs. induction H0. intros. eapply cause_trans; eassumption. depremise IHcause. assumption. eapply cause_trans; eassumption. Qed.
imports: Coq(FunctionalExtensionality Arith Lia) Coq(Arith.Peano_dec Arith.Compare_dec) Coq(Relations.Relation_Operators) Coq(List) Chapar(Predefs)