+++ /dev/null
-(**************************************************************************)
-(* ___ *)
-(* ||M|| *)
-(* ||A|| A project by Andrea Asperti *)
-(* ||T|| *)
-(* ||I|| Developers: *)
-(* ||T|| The HELM team. *)
-(* ||A|| http://helm.cs.unibo.it *)
-(* \ / *)
-(* \ / This file is distributed under the terms of the *)
-(* v GNU General Public License Version 2 *)
-(* *)
-(**************************************************************************)
-
-include "basic_2/notation/constructors/star_0.ma".
-include "basic_2/notation/constructors/dxbind2_3.ma".
-include "basic_2/notation/constructors/dxabbr_2.ma".
-include "basic_2/notation/constructors/dxabst_2.ma".
-include "basic_2/syntax/term.ma".
-
-(* GLOBAL ENVIRONMENTS ******************************************************)
-
-(* global environments *)
-inductive genv: Type[0] ≝
-| GAtom: genv (* empty *)
-| GPair: genv → bind2 → term → genv (* binary binding construction *)
-.
-
-interpretation "sort (global environment)"
- 'Star = (GAtom).
-
-interpretation "global environment binding construction (binary)"
- 'DxBind2 G I T = (GPair G I T).
-
-interpretation "abbreviation (global environment)"
- 'DxAbbr G T = (GPair G Abbr T).
-
-interpretation "abstraction (global environment)"
- 'DxAbst G T = (GPair G Abst T).
-
-(* Basic properties *********************************************************)
-
-lemma eq_genv_dec: ∀G1,G2:genv. Decidable (G1 = G2).
-#G1 elim G1 -G1 [| #G1 #I1 #T1 #IHG1 ] * [2,4: #G2 #I2 #T2 ]
-[3: /2 width=1 by or_introl/
-|2: elim (eq_bind2_dec I1 I2) #HI
- [ elim (IHG1 G2) -IHG1 #HG
- [ elim (eq_term_dec T1 T2) #HT /2 width=1 by or_introl/ ]
- ]
-]
-@or_intror #H destruct /2 width=1 by/
-qed-.