adamc@794
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1 datatype t = datatype Basis.list
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adamc@794
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2
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adamc@826
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3 val show = fn [a] (_ : show a) =>
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adamc@826
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4 let
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adamc@826
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5 fun show' (ls : list a) =
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adamc@826
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6 case ls of
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adamc@826
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7 [] => "[]"
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adamc@826
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8 | x :: ls => show x ^ " :: " ^ show' ls
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adamc@826
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9 in
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adamc@826
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10 mkShow show'
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adamc@826
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11 end
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adamc@794
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12
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adamc@846
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13 val eq = fn [a] (_ : eq a) =>
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adamc@846
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14 let
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adamc@846
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15 fun eq' (ls1 : list a) ls2 =
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adamc@846
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16 case (ls1, ls2) of
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adamc@846
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17 ([], []) => True
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adamc@846
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18 | (x1 :: ls1, x2 :: ls2) => x1 = x2 && eq' ls1 ls2
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adamc@846
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19 | _ => False
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adamc@846
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20 in
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adamc@846
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21 mkEq eq'
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adamc@846
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22 end
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adamc@846
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23
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adamc@845
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24 fun foldl [a] [b] f =
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adamc@845
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25 let
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26 fun foldl' acc ls =
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27 case ls of
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28 [] => acc
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adamc@845
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29 | x :: ls => foldl' (f x acc) ls
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adamc@845
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30 in
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adamc@845
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31 foldl'
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adamc@845
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32 end
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adamc@845
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33
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adamc@850
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34 fun foldlAbort [a] [b] f =
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adamc@846
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35 let
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adamc@850
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36 fun foldlAbort' acc ls =
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adamc@846
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37 case ls of
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adamc@846
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38 [] => Some acc
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adamc@846
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39 | x :: ls =>
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adamc@846
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40 case f x acc of
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adamc@846
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41 None => None
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adamc@850
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42 | Some acc' => foldlAbort' acc' ls
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adamc@846
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43 in
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adamc@850
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44 foldlAbort'
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adamc@846
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45 end
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adamc@846
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46
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adamc@826
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47 val rev = fn [a] =>
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adamc@826
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48 let
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adamc@826
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49 fun rev' acc (ls : list a) =
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adamc@826
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50 case ls of
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adamc@826
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51 [] => acc
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adamc@826
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52 | x :: ls => rev' (x :: acc) ls
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adamc@826
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53 in
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adamc@826
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54 rev' []
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adamc@826
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55 end
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adamc@794
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56
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adamc@850
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57 fun foldlMapAbort [a] [b] [c] f =
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adamc@850
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58 let
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adamc@850
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59 fun foldlMapAbort' ls' acc ls =
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adamc@850
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60 case ls of
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adamc@850
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61 [] => Some (rev ls', acc)
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adamc@850
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62 | x :: ls =>
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adamc@850
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63 case f x acc of
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adamc@850
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64 None => None
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adamc@850
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65 | Some (x', acc') => foldlMapAbort' (x' :: ls') acc' ls
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adamc@850
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66 in
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adamc@850
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67 foldlMapAbort' []
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adamc@850
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68 end
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adamc@850
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69
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adamc@826
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70 val revAppend = fn [a] =>
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adamc@826
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71 let
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adamc@826
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72 fun ra (ls : list a) acc =
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adamc@826
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73 case ls of
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adamc@826
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74 [] => acc
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adamc@826
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75 | x :: ls => ra ls (x :: acc)
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adamc@826
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76 in
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adamc@826
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77 ra
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adamc@826
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78 end
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adamc@821
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79
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adamc@826
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80 fun append [a] (ls1 : t a) (ls2 : t a) = revAppend (rev ls1) ls2
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adamc@821
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81
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adamc@826
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82 fun mp [a] [b] f =
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adamc@794
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83 let
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adamc@794
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84 fun mp' acc ls =
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adamc@794
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85 case ls of
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adamc@794
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86 [] => rev acc
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adamc@794
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87 | x :: ls => mp' (f x :: acc) ls
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adamc@794
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88 in
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adamc@794
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89 mp' []
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adamc@794
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90 end
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adamc@796
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91
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adamc@826
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92 fun mapPartial [a] [b] f =
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adamc@821
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93 let
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adamc@821
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94 fun mp' acc ls =
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adamc@821
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95 case ls of
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adamc@821
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96 [] => rev acc
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adamc@821
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97 | x :: ls => mp' (case f x of
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adamc@821
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98 None => acc
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adamc@821
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99 | Some y => y :: acc) ls
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adamc@821
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100 in
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adamc@821
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101 mp' []
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adamc@821
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102 end
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adamc@821
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103
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adamc@826
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104 fun mapX [a] [ctx ::: {Unit}] f =
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adamc@796
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105 let
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adamc@796
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106 fun mapX' ls =
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adamc@796
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107 case ls of
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adamc@796
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108 [] => <xml/>
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adamc@796
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109 | x :: ls => <xml>{f x}{mapX' ls}</xml>
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adamc@796
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110 in
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adamc@796
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111 mapX'
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adamc@796
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112 end
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adamc@800
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113
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adamc@826
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114 fun mapM [m ::: (Type -> Type)] (_ : monad m) [a] [b] f =
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adamc@800
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115 let
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adamc@800
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116 fun mapM' acc ls =
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adamc@800
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117 case ls of
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adamc@818
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118 [] => return (rev acc)
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adamc@818
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119 | x :: ls => x' <- f x; mapM' (x' :: acc) ls
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adamc@800
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120 in
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adamc@818
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121 mapM' []
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adamc@800
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122 end
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adamc@821
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123
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adamc@830
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124 fun mapXM [m ::: (Type -> Type)] (_ : monad m) [a] [ctx ::: {Unit}] f =
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adamc@830
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125 let
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adamc@830
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126 fun mapXM' ls =
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adamc@830
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127 case ls of
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adamc@830
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128 [] => return <xml/>
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adamc@830
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129 | x :: ls =>
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adamc@830
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130 this <- f x;
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adamc@830
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131 rest <- mapXM' ls;
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adamc@830
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132 return <xml>{this}{rest}</xml>
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adamc@830
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133 in
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adamc@830
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134 mapXM'
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adamc@830
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135 end
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adamc@830
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136
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adamc@826
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137 fun filter [a] f =
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adamc@821
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138 let
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adamc@821
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139 fun fil acc ls =
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adamc@821
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140 case ls of
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adamc@821
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141 [] => rev acc
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adamc@821
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142 | x :: ls => fil (if f x then x :: acc else acc) ls
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adamc@821
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143 in
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adamc@821
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144 fil []
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adamc@821
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145 end
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adamc@822
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146
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adamc@826
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147 fun exists [a] f =
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adamc@822
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148 let
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adamc@822
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149 fun ex ls =
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adamc@822
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150 case ls of
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adamc@822
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151 [] => False
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adamc@822
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152 | x :: ls =>
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adamc@822
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153 if f x then
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adamc@822
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154 True
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adamc@822
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155 else
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adamc@822
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156 ex ls
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adamc@822
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157 in
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adamc@822
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158 ex
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adamc@822
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159 end
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adamc@822
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160
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adamc@826
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161 fun foldlMap [a] [b] [c] f =
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adamc@822
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162 let
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adamc@822
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163 fun fold ls' st ls =
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adamc@822
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164 case ls of
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adamc@822
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165 [] => (rev ls', st)
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adamc@822
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166 | x :: ls =>
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adamc@822
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167 case f x st of
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adamc@822
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168 (y, st) => fold (y :: ls') st ls
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adamc@822
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169 in
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adamc@822
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170 fold []
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adamc@822
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171 end
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adamc@839
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172
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adamc@839
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173 fun search [a] [b] f =
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adamc@839
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174 let
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adamc@839
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175 fun search' ls =
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adamc@839
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176 case ls of
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adamc@839
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177 [] => None
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adamc@839
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178 | x :: ls =>
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adamc@839
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179 case f x of
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adamc@839
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180 None => search' ls
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adamc@839
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181 | v => v
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adamc@839
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182 in
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adamc@839
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183 search'
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adamc@839
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184 end
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adamc@839
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185
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adamc@840
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186 fun foldlM [m] (_ : monad m) [a] [b] f =
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adamc@840
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187 let
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adamc@840
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188 fun foldlM' acc ls =
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adamc@840
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189 case ls of
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adamc@840
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190 [] => return acc
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adamc@840
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191 | x :: ls =>
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adamc@840
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192 acc <- f x acc;
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adamc@840
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193 foldlM' acc ls
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adamc@840
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194 in
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adamc@840
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195 foldlM'
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adamc@840
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196 end
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adamc@843
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197
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adamc@843
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198 fun all [m] f =
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adamc@843
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199 let
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adamc@843
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200 fun all' ls =
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adamc@843
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201 case ls of
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adamc@843
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202 [] => True
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adamc@843
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203 | x :: ls => f x && all' ls
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adamc@843
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204 in
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adamc@843
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205 all'
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adamc@843
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206 end
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adamc@844
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207
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adamc@844
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208 fun app [m] (_ : monad m) [a] f =
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adamc@844
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209 let
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adamc@844
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210 fun app' ls =
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adamc@844
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211 case ls of
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adamc@844
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212 [] => return ()
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adamc@844
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213 | x :: ls =>
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adamc@844
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214 f x;
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adamc@844
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215 app' ls
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adamc@844
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216 in
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adamc@844
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217 app'
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adamc@844
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218 end
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adamc@845
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219
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adamc@845
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220 fun assoc [a] [b] (_ : eq a) (x : a) =
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adamc@845
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221 let
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adamc@845
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222 fun assoc' (ls : list (a * b)) =
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adamc@845
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223 case ls of
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adamc@845
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224 [] => None
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adamc@845
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225 | (y, z) :: ls =>
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adamc@845
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226 if x = y then
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adamc@845
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227 Some z
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adamc@845
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228 else
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adamc@845
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229 assoc' ls
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adamc@845
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230 in
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adamc@845
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231 assoc'
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adamc@845
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232 end
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adamc@845
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233
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adamc@845
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234 fun assocAdd [a] [b] (_ : eq a) (x : a) (y : b) (ls : t (a * b)) =
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adamc@845
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235 case assoc x ls of
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adamc@845
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236 None => (x, y) :: ls
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adamc@845
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237 | Some _ => ls
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