]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/syntax/genv.ma
syntactic components detached from basic_2 become static_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / syntax / genv.ma
diff --git a/matita/matita/contribs/lambdadelta/basic_2/syntax/genv.ma b/matita/matita/contribs/lambdadelta/basic_2/syntax/genv.ma
deleted file mode 100644 (file)
index 3e899a8..0000000
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-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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-.