- we removed the reduction-related item categorization

[helm.git] / matita / matita / lib / lambda-delta / syntax / item.ma

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+(*
+    ||M||  This file is part of HELM, an Hypertextual, Electronic
+    ||A||  Library of Mathematics, developed at the Computer Science
+    ||T||  Department of the University of Bologna, Italy.
+    ||I||
+    ||T||
+    ||A||  This file is distributed under the terms of the
+    \   /  GNU General Public License Version 2
+     \ /
+      V_______________________________________________________________ *)
+
+(* THE FORMAL SYSTEM λδ - MATITA SOURCE SCRIPTS 
+ * Specification started: 2011 April 17
+ * - Patience on me so that I gain peace and perfection! -
+ * [ suggested invocation to start formal specifications with ]
+ *)
+
+include "lambda-delta/ground.ma".
+
+(* BINARY ITEMS *************************************************************)
+
+(* binary binding items *)
+inductive bind2: Type[0] ≝
+| Abbr: bind2 (* abbreviation *)
+| Abst: bind2 (* abstraction *)
+.
+
+(* binary non-binding items *)
+inductive flat2: Type[0] ≝
+| Appl: flat2 (* application *)
+| Cast: flat2 (* explicit type annotation *)
+.
+
+(* binary items *)
+inductive item2: Type[0] ≝
+| Bind: bind2 → item2 (* binding item *)
+| Flat: flat2 → item2 (* non-binding item *)
+.
+
+coercion item2_of_bind2: ∀I:bind2.item2 ≝ Bind on _I:bind2 to item2.
+
+coercion item2_of_flat2: ∀I:flat2.item2 ≝ Flat on _I:flat2 to item2.