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||| 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
-- True
Top : Bounds -> Syntax
Point : Bounds -> Syntax
-- False
Bottom : Bounds -> Syntax
Absurd : Bounds -> Syntax -> 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 (Top _) = pretty "()"
prettyPrec d (Point _) = pretty "*"
prettyPrec d (Bottom _) = pretty "Void"
prettyPrec d (Absurd _ a t) =
parenthesise (d >= App) $
group $
fillSep [pretty "absurd", prettyPrec App a, 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
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