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

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  14
  15 include "ground_2/list.ma".
  16 include "basic_2/grammar/term.ma".
  17
  18 (* GLOBAL ENVIRONMENTS ******************************************************)
  19
  20 (* global environments *)
  21 definition genv ≝ list2 bind2 term.
  22
  23 interpretation "sort (global environment)"
  24    'Star = (nil2 bind2 term).
  25
  26 interpretation "environment construction (binary)"
  27    'DxItem2 L I T = (cons2 bind2 term I T L).
  28
  29 interpretation "environment binding construction (binary)"
  30    'DxBind2 L I T = (cons2 bind2 term I T L).
  31
  32 interpretation "abbreviation (global environment)"
  33    'DxAbbr L T = (cons2 bind2 term Abbr T L).
  34
  35 interpretation "abstraction (global environment)"
  36    'DxAbst L T = (cons2 bind2 term Abst T L).
  37
  38 (* Basic properties *********************************************************)
  39
  40 axiom genv_eq_dec: ∀T1,T2:genv. Decidable (T1 = T2).