src/ProgrammingLanguageEnrichment.v

   1 (*********************************************************************************************************************************)
   2 (* ProgrammingLanguageEnrichment                                                                                                 *)
   3 (*                                                                                                                               *)
   4 (*   Types are enriched in Judgments.                                                                                            *)
   5 (*                                                                                                                               *)
   6 (*********************************************************************************************************************************)
   7
   8 Generalizable All Variables.
   9 Require Import Preamble.
  10 Require Import General.
  11 Require Import Categories_ch1_3.
  12 Require Import InitialTerminal_ch2_2.
  13 Require Import Functors_ch1_4.
  14 Require Import Isomorphisms_ch1_5.
  15 Require Import ProductCategories_ch1_6_1.
  16 Require Import OppositeCategories_ch1_6_2.
  17 Require Import Enrichment_ch2_8.
  18 Require Import Subcategories_ch7_1.
  19 Require Import NaturalTransformations_ch7_4.
  20 Require Import NaturalIsomorphisms_ch7_5.
  21 Require Import BinoidalCategories.
  22 Require Import PreMonoidalCategories.
  23 Require Import MonoidalCategories_ch7_8.
  24 Require Import Coherence_ch7_8.
  25 Require Import Enrichment_ch2_8.
  26 Require Import RepresentableStructure_ch7_2.
  27 Require Import FunctorCategories_ch7_7.
  28
  29 Require Import Enrichments.
  30 Require Import NaturalDeduction.
  31 Require Import NaturalDeductionCategory.
  32 Require Import ProgrammingLanguageCategory.
  33         Export ProgrammingLanguageCategory.
  34
  35 Section ProgrammingLanguageEnrichment.
  36
  37   Context `(PL:ProgrammingLanguage).
  38
  39   Definition TypesEnrichedInJudgments : SurjectiveEnrichment.
  40     refine
  41       {| senr_c_pm     := TypesL_PreMonoidal PL
  42        ; senr_v        := JudgmentsL PL
  43        ; senr_v_bin    := Judgments_Category_binoidal _
  44        ; senr_v_pmon   := Judgments_Category_premonoidal _
  45        ; senr_v_mon    := Judgments_Category_monoidal _
  46        ; senr_c_bin    := Types_binoidal PL
  47        ; senr_c        := TypesL PL
  48       |}.
  49       Defined.
  50
  51 End ProgrammingLanguageEnrichment.
  52