branch for universe

[helm.git] / matita / tests / interactive / grafite.ma

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+
+
+(* commento *)
+(** hint. *)
+
+inductive pippo : Type \def
+  | a : Type \to pippo
+  | b : Prop \to pippo
+  | c : Set \to pippo.
+
+definition pollo : Set \to Set \def
+  \lambda a:Set.a.
+
+inductive paolo : Prop \def t:paolo.
+
+theorem comeno : \forall p:pippo.pippo.
+intros.assumption.
+qed.
+
+definition f : pippo \to paolo \def
+  \lambda x:pippo.
+  match x with 
+  [ (a z) \Rightarrow t
+  | (b z) \Rightarrow t
+  | (c z) \Rightarrow t ].
+
+record w : Type \def {
+  mario : Prop;
+  pippo : Set
+}.
+
+whelp locate pippo.
+
+print "coercions".