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adam@6
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1 fun read [r ::: {Unit}] [t ::: Type] (fl : folder r) (r : $(mapU t r)) (v : variant (mapU {} r)) : t =
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adam@6
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2 match v
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adam@6
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3 (@fold [fn r => r' :: {Unit} -> [r ~ r'] => $(mapU t (r ++ r')) -> $(mapU ({} -> t) r)]
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adam@6
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4 (fn [nm :: Name] [u::_] [us::_] [[nm] ~ us] (cs : r' :: {Unit} -> [us ~ r'] => $(mapU t (us ++ r')) -> _) [r'::_] [[nm = u] ++ us ~ r'] r =>
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adam@14
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5 {nm = fn () => r.nm} ++ cs [[nm = u] ++ r'] r)
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adam@6
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6 (fn [r'::_] [[] ~ r'] _ => {}) fl [[]] ! r)
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adam@6
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7
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adam@6
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8 fun write [r ::: {Unit}] [t ::: Type] (fl : folder r) (r : $(mapU t r)) (v : variant (mapU {} r)) (x : t) : $(mapU t r) =
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adam@6
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9 match v
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adam@6
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10 (@fold [fn r => r' :: {Unit} -> [r ~ r'] => $(mapU t (r ++ r')) -> $(mapU ({} -> $(mapU t (r ++ r'))) r)]
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adam@6
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11 (fn [nm :: Name] [u::_] [us::_] [[nm] ~ us]
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adam@6
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12 (cs : r' :: {Unit} -> [us ~ r'] => $(mapU t (us ++ r')) -> $(mapU ({} -> $(mapU t (us ++ r'))) us))
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adam@6
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13 [r'::_] [[nm = u] ++ us ~ r'] r =>
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adam@14
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14 {nm = fn () => r -- nm ++ {nm = x}} ++ cs [[nm = u] ++ r'] r)
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adam@6
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15 (fn [r'::_] [[] ~ r'] _ => {}) fl [[]] ! r)
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adam@6
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16
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adam@6
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17 fun search [r] [t] (f : variant (mapU {} r) -> option t) (fl : folder r) : option t =
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adam@6
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18 @fold [fn r => r' :: {Unit} -> [r ~ r'] => (variant (mapU {} (r ++ r')) -> option t) -> option t]
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adam@6
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19 (fn [nm :: Name] [u ::_] [r ::_] [[nm] ~ r]
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adam@6
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20 (acc : r' :: {Unit} -> [r ~ r'] => (variant (mapU {} (r ++ r')) -> option t) -> option t)
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adam@6
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21 [r' ::_] [[nm] ++ r ~ r'] f' =>
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adam@6
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22 case f' (make [nm] {}) of
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adam@14
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23 None => acc [[nm] ++ r'] f'
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adam@6
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24 | v => v)
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adam@6
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25 (fn [r' ::_] [[] ~ r'] _ => None) fl [[]] ! f
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adam@6
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26
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adam@6
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27 fun find [r] (f : variant (mapU {} r) -> bool) (fl : folder r) : option (variant (mapU {} r)) =
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adam@6
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28 @search (fn v => if f v then Some v else None) fl
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adam@6
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29
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adam@6
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30 fun test [nm :: Name] [t ::: Type] [ts ::: {Type}] [[nm] ~ ts] (fl : folder ([nm = t] ++ ts))
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adam@6
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31 (v : variant ([nm = t] ++ ts)) : option t =
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adam@6
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32 match v ({nm = Some}
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adam@6
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33 ++ (@map0 [fn t' => t' -> option t] (fn [t' :: Type] _ => None) fl -- nm))
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adam@6
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34
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adam@6
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35 fun testLess [nm :: Name] [t ::: Type] [ts ::: {Type}] [[nm] ~ ts] (fl : folder ts) (v : variant ([nm = t] ++ ts)) : option t =
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adam@6
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36 match v ({nm = Some}
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adam@6
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37 ++ @map0 [fn t' => t' -> option t] (fn [t' :: Type] _ => None) fl)
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adam@6
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38
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adam@21
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39 fun weaken [r1 ::: {Type}] [r2 ::: {Type}] [r1 ~ r2] (fl : folder r1) (v : variant r1) : variant (r1 ++ r2) =
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adam@21
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40 match v
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adam@21
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41 (@fold [fn r => r' :: {Type} -> [r ~ r'] => $(map (fn t => t -> variant (r ++ r')) r)]
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adam@21
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42 (fn [nm :: Name] [t ::_] [r ::_] [[nm] ~ r] (acc : r' :: {Type} -> [r ~ r'] => $(map (fn t => t -> variant (r ++ r')) r)) [r'::_] [[nm = t] ++ r ~ r'] =>
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adam@21
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43 {nm = make [nm]} ++ acc [[nm = t] ++ r'])
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adam@21
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44 (fn [r'::_] [[] ~ r'] => {}) fl [r2] !)
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adam@21
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45
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adam@6
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46 fun eq [r] (fl : folder r) (v1 : variant (mapU {} r)) (v2 : variant (mapU {} r)) : bool =
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adam@6
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47 match v1
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adam@6
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48 (@fold [fn r => r' :: {Unit} -> [r ~ r'] => folder (r ++ r') -> variant (mapU {} (r ++ r')) -> $(mapU ({} -> bool) r)]
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adam@6
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49 (fn [nm ::_] [u ::_] [r ::_] [[nm] ~ r]
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adam@6
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50 (acc : r' :: {Unit} -> [r ~ r'] => folder (r ++ r') -> variant (mapU {} (r ++ r')) -> $(mapU ({} -> bool) r))
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adam@6
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51 [r' ::_] [[nm] ++ r ~ r'] (fl' : folder ([nm] ++ r ++ r')) v =>
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adam@6
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52 {nm = fn () => Option.isSome (@test [nm] ! (@Folder.mp fl') v)}
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adam@14
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53 ++ @acc [[nm] ++ r'] ! fl' v)
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adam@6
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54 (fn [r' ::_] [[] ~ r'] _ _ => {}) fl [[]] ! fl v2)
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adam@6
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55
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adam@6
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56 fun fold [r] [t] (fl : folder r) (f : variant (mapU {} r) -> t -> t) : t -> t =
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adam@6
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57 @Top.fold [fn r => r' :: {Unit} -> [r ~ r'] => (variant (mapU {} (r ++ r')) -> t -> t) -> t -> t]
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adam@6
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58 (fn [nm :: Name] [u ::_] [r ::_] [[nm] ~ r]
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adam@6
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59 (acc : r' :: {Unit} -> [r ~ r'] => (variant (mapU {} (r ++ r')) -> t -> t) -> t -> t)
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adam@6
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60 [r' ::_] [[nm] ++ r ~ r'] f' acc' =>
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adam@14
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61 f' (make [nm] {}) (acc [[nm] ++ r'] f' acc'))
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adam@6
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62 (fn [r' ::_] [[] ~ r'] _ x => x) fl [[]] ! f
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adam@6
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63
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adam@21
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64 fun mp [r ::: {Unit}] [t ::: Type] (fl : folder r) (f : variant (mapU {} r) -> t) : $(mapU t r) =
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adam@21
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65 @Top.fold [fn r => r' :: {Unit} -> [r ~ r'] => (variant (mapU {} (r ++ r')) -> t) -> $(mapU t r)]
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adam@21
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66 (fn [nm :: Name] [u ::_] [r ::_] [[nm] ~ r]
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adam@21
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67 (acc : r' :: {Unit} -> [r ~ r'] => (variant (mapU {} (r ++ r')) -> t) -> $(mapU t r))
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adam@21
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68 [r' ::_] [[nm] ++ r ~ r'] f' =>
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adam@21
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69 {nm = f' (make [nm] {})} ++ acc [[nm] ++ r'] f')
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adam@21
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70 (fn [r' ::_] [[] ~ r'] _ => {}) fl [[]] ! f
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adam@21
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71
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adam@20
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72 fun foldR [tr] [r] [t] (fl : folder r) (f : variant (mapU {} r) -> tr -> t -> t) (record : $(mapU tr r)) : t -> t =
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adam@20
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73 @Top.foldUR [tr] [fn r => r' :: {Unit} -> [r ~ r'] => (variant (mapU {} (r ++ r')) -> tr -> t -> t) -> t -> t]
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adam@20
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74 (fn [nm :: Name] [r ::_] [[nm] ~ r] (v : tr)
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adam@20
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75 (acc : r' :: {Unit} -> [r ~ r'] => (variant (mapU {} (r ++ r')) -> tr -> t -> t) -> t -> t)
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adam@20
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76 [r' ::_] [[nm] ++ r ~ r'] f' acc' =>
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adam@20
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77 f' (make [nm] {}) v (acc [[nm] ++ r'] f' acc'))
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adam@20
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78 (fn [r' ::_] [[] ~ r'] _ x => x) fl record [[]] ! f
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adam@20
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79
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adam@20
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80 fun appR [m] (_ : monad m) [tr] [r] (fl : folder r) (f : variant (mapU {} r) -> tr -> m {}) (record : $(mapU tr r)) : m {} =
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adam@20
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81 @foldR fl (fn var this acc => f var this; acc) record (return ())
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adam@20
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82
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adam@21
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83 fun mapR [tr] [t] [r] (fl : folder r) (f : variant (mapU {} r) -> tr -> t) (record : $(mapU tr r)) : $(mapU t r) =
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adam@21
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84 @Top.fold [fn r => r' :: {Unit} -> [r ~ r'] => (variant (mapU {} (r ++ r')) -> tr -> t) -> $(mapU tr r) -> $(mapU t r)]
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adam@21
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85 (fn [nm :: Name] [u ::_] [r ::_] [[nm] ~ r]
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adam@21
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86 (acc : r' :: {Unit} -> [r ~ r'] => (variant (mapU {} (r ++ r')) -> tr -> t) -> $(mapU tr r) -> $(mapU t r))
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adam@21
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87 [r' ::_] [[nm] ++ r ~ r'] f' vs =>
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adam@21
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88 {nm = f' (make [nm] {}) vs.nm} ++ acc [[nm] ++ r'] f' (vs -- nm))
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adam@21
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89 (fn [r' ::_] [[] ~ r'] _ _ => {}) fl [[]] ! f record
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adam@21
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90
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adam@6
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91 fun destrR [K] [f :: K -> Type] [fr :: K -> Type] [t ::: Type]
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adam@6
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92 (f : p :: K -> f p -> fr p -> t)
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adam@6
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93 [r ::: {K}] (fl : folder r) (v : variant (map f r)) (r : $(map fr r)) : t =
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adam@6
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94 match v
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adam@6
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95 (@Top.mp [fr] [fn p => f p -> t]
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adam@6
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96 (fn [p] (m : fr p) (v : f p) => f [p] v m)
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adam@6
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97 fl r)
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adam@6
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98
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adam@6
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99 fun destr2R [K] [f1 :: K -> Type] [f2 :: K -> Type] [fr :: K -> Type] [t ::: Type]
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adam@6
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100 (f : p :: K -> f1 p -> f2 p -> fr p -> t)
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adam@6
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101 [r ::: {K}] (fl : folder r) (v1 : variant (map f1 r)) (v2 : variant (map f2 r)) (r : $(map fr r)) : option t =
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adam@6
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102 match v1
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adam@20
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103 (@Top.foldR [fr] [fn r => others :: {K} -> [others ~ r] =>
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adam@6
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104 folder (r ++ others)
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adam@6
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105 -> variant (map f2 (r ++ others))
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adam@6
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106 -> $(map (fn p => f1 p -> option t) r)]
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adam@6
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107 (fn [nm ::_] [p ::_] [r ::_] [[nm] ~ r] (meta : fr p)
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adam@6
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108 (acc : others :: {K} -> [others ~ r] =>
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adam@6
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109 folder (r ++ others)
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adam@6
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110 -> variant (map f2 (r ++ others))
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adam@6
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111 -> $(map (fn p => f1 p -> option t) r))
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adam@6
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112 [others :: {K}] [others ~ [nm = p] ++ r]
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adam@6
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113 (fl : folder ([nm = p] ++ r ++ others))
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adam@6
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114 (v2 : variant (map f2 ([nm = p] ++ r ++ others))) =>
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adam@6
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115 {nm = fn x1 => match v2
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adam@6
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116 ({nm = fn x2 => Some (f [p] x1 x2 meta)}
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adam@6
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117 ++ (@map0 [fn p => f2 p -> option t] (fn [p' ::_] _ => None) fl -- nm))}
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adam@14
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118 ++ @acc [[nm = p] ++ others] ! fl v2)
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adam@6
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119 (fn [others ::_] [others ~ []] _ _ => {})
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adam@6
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120 fl r [[]] ! fl v2)
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adam@6
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121
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adam@6
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122 fun testEq [K] [f :: K -> Type] [nm :: Name] [t ::: K] [ts ::: {K}] [r ::: {K}] [[nm] ~ ts]
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adam@6
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123 (pf : Eq.eq r ([nm = t] ++ ts)) (fl : folder r) (v : variant (map f r)) : option (f t) =
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adam@6
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124 @test [nm] ! (@Folder.mp (@Eq.cast pf [folder] fl))
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adam@6
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125 (Eq.cast pf [fn r => variant (map f r)] v)
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adam@6
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126
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adam@6
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127 fun makeEq [K] [f :: K -> Type] [nm :: Name] [t ::: K] [ts ::: {K}] [r ::: {K}] [[nm] ~ ts]
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adam@6
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128 (pf : Eq.eq r ([nm = t] ++ ts)) (x : f t) : variant (map f r) =
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adam@6
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129 Eq.cast (Eq.sym pf) [fn r => variant (map f r)] (make [nm] x)
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ezyang@27
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130
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ezyang@27
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131 con variantMake ts' ts = $(map (fn t => t -> variant ts') ts)
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ezyang@27
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132 con mkLabelsAccum r = s :: {Type} -> [r ~ s] => variantMake (r ++ s) r
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ezyang@27
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133 fun mkLabels [ts ::: {Type}] (fl : folder ts) : variantMake ts ts
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ezyang@27
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134 = @Top.fold [mkLabelsAccum]
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ezyang@27
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135 (fn [nm::_] [v::_] [r::_] [[nm] ~ r]
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ezyang@27
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136 (k : mkLabelsAccum r)
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ezyang@27
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137 [s::_] [[nm = v] ++ r ~ s] => k [[nm = v] ++ s] ++ {nm = make [nm]})
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ezyang@27
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138 (fn [s::_] [[] ~ s] => {}) fl [[]] !
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ezyang@27
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139
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adam@29
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140 con type_case ts t a = (a -> variant ts) -> a -> t
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ezyang@27
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141
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ezyang@27
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142 fun declareCase [ts] [t] [a] (f : (a -> variant ts) -> a -> t) : type_case ts t a = f
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ezyang@27
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143 fun typeCase [ts] [t] (v : variant ts) (dstrs : $(map (type_case ts t) ts)) (fl : folder ts) : t
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ezyang@27
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144 (* Ur/Web not clever enough to calculate these folders, it seems *)
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ezyang@28
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145 = match v (@Record.ap [fn a => a -> variant ts] [fn a => a -> t] fl dstrs (@mkLabels fl))
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