Module Type Mereology (dolce:DOLCE_root)(proto:Protothetic dolce).
Set Typeclasses Axioms Are Instances.
(* ====================== ONTOLOGICAL AXIOM  ============================= *)
Parameter epsilon : relation N.
(* no typing on singulars and plurals *)
Notation "A 'ε' b" := (epsilon A b)  (at level 40).
(************** Meta rules of existential introduction/elimination  ********)

Lemma elim_ex : forall a:N, ¬(forall B, ¬(B ε a)) ⊃ exists B:N, (B ε a).