proposition: Lemma IR_transitive : transitive R -> transitive IR.
proof: Proof. intro. unfold transitive, IR. intros. exact (H _ _ _ (H0 xint) (H1 xint)). Qed.
imports: CoLoR(ATerm RelUtil ASubstitution NaryFunction AContext VecUtil SN ARelation LogicUtil) Coq(Lia PeanoNat)