1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
|
||| Raw syntax for terms. This is before eliminating names.
module Obs.Syntax
import Obs.Sort
import Text.Bounded
import Text.PrettyPrint.Prettyprinter
%default total
-- Definition ------------------------------------------------------------------
public export
data Syntax : Type where
Var : WithBounds String -> Syntax
-- Sorts
Sort : Bounds -> Sort -> Syntax
-- Dependent Products
Pi : Bounds -> WithBounds String -> Syntax -> Syntax -> Syntax
Lambda : Bounds -> WithBounds String -> Syntax -> Syntax
App : Syntax -> Syntax -> Syntax
-- Dependent Sums
Sigma : Bounds -> WithBounds String -> Syntax -> Syntax -> Syntax
Pair : Bounds -> Syntax -> Syntax -> Syntax
Fst : Bounds -> Syntax -> Syntax
Snd : Bounds -> Syntax -> Syntax
-- True
Top : Bounds -> Syntax
Point : Bounds -> Syntax
-- False
Bottom : Bounds -> Syntax
Absurd : Bounds -> Syntax -> Syntax -> Syntax
-- Equality
Equal : Bounds -> Syntax -> Syntax -> Syntax
Refl : Bounds -> Syntax -> Syntax
Transp : Bounds -> Syntax -> Syntax -> Syntax -> Syntax -> Syntax -> Syntax
Cast : Bounds -> Syntax -> Syntax -> Syntax -> Syntax
CastId : Bounds -> Syntax -> Syntax
public export
record Definition where
constructor MkDefinition
bounds : Bounds -- of the name
name : String
ty : Syntax
tm : Syntax
-- Pretty Print ----------------------------------------------------------------
export
Pretty Syntax where
prettyPrec d (Var var) = pretty var.val
prettyPrec d (Sort _ s) = prettyPrec d s
prettyPrec d (Pi _ var a b) =
parenthesise (d > Open) $
group $
parens (pretty var.val <++> colon <+> softline <+> prettyPrec Open a) <++>
pretty "->" <+> softline <+>
prettyPrec Open b
prettyPrec d (Lambda _ var t) =
parenthesise (d > Open) $
group $
backslash <+> pretty var.val <++>
pretty "=>" <+> softline <+>
prettyPrec Open t
prettyPrec d (App t u) =
parenthesise (d >= App) $
group $
fillSep [prettyPrec Open t, prettyPrec App u]
prettyPrec d (Sigma _ var a b) =
parenthesise (d >= App) $
group $
parens (pretty var.val <++> colon <+> softline <+> prettyPrec Open a) <++>
pretty "**" <+> softline <+>
prettyPrec Open b
prettyPrec d (Pair _ t u) =
angles $
group $
neutral <++> prettyPrec Open t <+> comma <+> softline <+> prettyPrec Open u <++> neutral
prettyPrec d (Fst _ t) =
parenthesise (d >= App) $
group $
fillSep [pretty "fst", prettyPrec App t]
prettyPrec d (Snd _ t) =
parenthesise (d >= App) $
group $
fillSep [pretty "snd", prettyPrec App t]
prettyPrec d (Top _) = pretty "()"
prettyPrec d (Point _) = pretty "tt"
prettyPrec d (Bottom _) = pretty "Void"
prettyPrec d (Absurd _ a t) =
parenthesise (d >= App) $
group $
fillSep [pretty "absurd", prettyPrec App a, prettyPrec App t]
prettyPrec d (Equal _ t u) =
parenthesise (d >= Equal) $
group $
prettyPrec Equal t <++> pretty "~" <+> softline <+> prettyPrec Equal u
prettyPrec d (Refl _ t) =
parenthesise (d >= App) $
group $
fillSep [pretty "refl", prettyPrec App t]
prettyPrec d (Transp _ t b u t' e) =
parenthesise (d >= App) $
group $
fillSep $
[ pretty "transp"
, prettyPrec App t
, prettyPrec App b
, prettyPrec App u
, prettyPrec App t'
, prettyPrec App e
]
prettyPrec d (Cast _ b e t) =
parenthesise (d >= App) $
group $
fillSep [pretty "cast", prettyPrec App b, prettyPrec App e, prettyPrec App t]
prettyPrec d (CastId _ t) =
parenthesise (d >= App) $
group $
fillSep [pretty "castRefl", prettyPrec App t]
export
Pretty Definition where
pretty def = group $
pretty def.name <++> colon <+> softline <+> pretty def.ty <+> hardline <+>
pretty def.name <++> equals <+> softline <+> pretty def.tm
|
