matita/matita/contribs/lambdadelta/basic_2/grammar/genv.ma

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   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
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  14
  15 include "ground_2/list.ma".
  16 include "basic_2/notation/constructors/star_0.ma".
  17 include "basic_2/notation/constructors/dxbind2_3.ma".
  18 include "basic_2/notation/constructors/dxabbr_2.ma".
  19 include "basic_2/notation/constructors/dxabst_2.ma".
  20 include "basic_2/grammar/term.ma".
  21
  22 (* GLOBAL ENVIRONMENTS ******************************************************)
  23
  24 (* global environments *)
  25 definition genv ≝ list2 bind2 term.
  26
  27 interpretation "sort (global environment)"
  28    'Star = (nil2 bind2 term).
  29
  30 interpretation "environment binding construction (binary)"
  31    'DxBind2 L I T = (cons2 bind2 term I T L).
  32
  33 interpretation "abbreviation (global environment)"
  34    'DxAbbr L T = (cons2 bind2 term Abbr T L).
  35
  36 interpretation "abstraction (global environment)"
  37    'DxAbst L T = (cons2 bind2 term Abst T L).
  38
  39 (* Basic properties *********************************************************)
  40
  41 axiom genv_eq_dec: ∀T1,T2:genv. Decidable (T1 = T2).