{-# OPTIONS_GHC -Wunused-imports #-}
{-# LANGUAGE NondecreasingIndentation #-}
module Agda.TypeChecking.Primitive.Cubical.Glue
( mkGComp
, doGlueKanOp
, primGlue'
, prim_glue'
, prim_unglue'
)
where
import Agda.TypeChecking.Monad.Builtin
import Agda.TypeChecking.Monad.Base
import Agda.TypeChecking.Monad.Pure
import Agda.TypeChecking.Names
( NamesT, runNamesT, runNames, cl, lam, open, ilam )
import Agda.TypeChecking.Primitive.Cubical.Base
import Agda.TypeChecking.Reduce
( reduceB' )
import Agda.TypeChecking.Substitute
( absBody, apply, sort, applyE )
import Agda.Syntax.Common
( Cubical(..), Arg(..)
, ConOrigin(..), ProjOrigin(..)
, Relevance(..)
, setRelevance
)
import Agda.Syntax.Internal
import Agda.TypeChecking.Primitive.Base
( (-->), nPi', pPi', hPi', el, el', (<@>), (<@@>), (<#>), argN, argH, (<..>)
, SigmaKit(..), getSigmaKit
)
import Agda.Utils.Functor
import Agda.Utils.Maybe
import Agda.Utils.Monad
import Agda.Utils.Impossible
( __IMPOSSIBLE__ )
mkGComp :: forall m. HasBuiltins m
=> String
-> NamesT m (NamesT m Term -> NamesT m Term -> NamesT m Term -> NamesT m Term -> NamesT m Term -> NamesT m Term)
mkGComp :: forall (m :: * -> *).
HasBuiltins m =>
String
-> NamesT
m
(NamesT m Term
-> NamesT m Term
-> NamesT m Term
-> NamesT m Term
-> NamesT m Term
-> NamesT m Term)
mkGComp String
s = do
let getTermLocal :: IsBuiltin a => a -> NamesT m Term
getTermLocal :: forall a. IsBuiltin a => a -> NamesT m Term
getTermLocal = String -> a -> NamesT m Term
forall (m :: * -> *) a.
(HasBuiltins m, IsBuiltin a) =>
String -> a -> m Term
getTerm String
s
tPOr <- PrimitiveId -> NamesT m Term
forall a. IsBuiltin a => a -> NamesT m Term
getTermLocal PrimitiveId
builtinPOr
tIMax <- getTermLocal builtinIMax
tIMin <- getTermLocal builtinIMin
tINeg <- getTermLocal builtinINeg
tHComp <- getTermLocal builtinHComp
tTrans <- getTermLocal builtinTrans
io <- getTermLocal builtinIOne
iz <- getTermLocal builtinIZero
let forward NamesT m Term
la NamesT m Term
bA NamesT m Term
r NamesT m Term
u = Term -> NamesT m Term
forall a. a -> NamesT m a
forall (f :: * -> *) a. Applicative f => a -> f a
pure Term
tTrans NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> String -> (NamesT m Term -> NamesT m Term) -> NamesT m Term
forall (m :: * -> *).
MonadFail m =>
String -> (NamesT m Term -> NamesT m Term) -> NamesT m Term
lam String
"i" (\ NamesT m Term
i -> NamesT m Term
la NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> (NamesT m Term
i NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). HasBuiltins m => m Term -> m Term -> m Term
`imax` NamesT m Term
r))
NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> String -> (NamesT m Term -> NamesT m Term) -> NamesT m Term
forall (m :: * -> *).
MonadFail m =>
String -> (NamesT m Term -> NamesT m Term) -> NamesT m Term
lam String
"i" (\ NamesT m Term
i -> NamesT m Term
bA NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> (NamesT m Term
i NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). HasBuiltins m => m Term -> m Term -> m Term
`imax` NamesT m Term
r))
NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT m Term
r
NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT m Term
u
return $ \ NamesT m Term
la NamesT m Term
bA NamesT m Term
phi NamesT m Term
u NamesT m Term
u0 ->
Term -> NamesT m Term
forall a. a -> NamesT m a
forall (f :: * -> *) a. Applicative f => a -> f a
pure Term
tHComp NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> (NamesT m Term
la NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> Term -> NamesT m Term
forall a. a -> NamesT m a
forall (f :: * -> *) a. Applicative f => a -> f a
pure Term
io)
NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> (NamesT m Term
bA NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> Term -> NamesT m Term
forall a. a -> NamesT m a
forall (f :: * -> *) a. Applicative f => a -> f a
pure Term
io)
NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). HasBuiltins m => m Term -> m Term -> m Term
imax NamesT m Term
phi (NamesT m Term -> NamesT m Term
forall (m :: * -> *). HasBuiltins m => m Term -> m Term
ineg NamesT m Term
phi)
NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> String -> (NamesT m Term -> NamesT m Term) -> NamesT m Term
forall (m :: * -> *).
MonadFail m =>
String -> (NamesT m Term -> NamesT m Term) -> NamesT m Term
lam String
"i" (\ NamesT m Term
i -> NamesT m Term
-> NamesT m Term
-> [(NamesT m Term, NamesT m Term)]
-> NamesT m Term
forall (m :: * -> *).
HasBuiltins m =>
NamesT m Term
-> NamesT m Term
-> [(NamesT m Term, NamesT m Term)]
-> NamesT m Term
combineSys (NamesT m Term
la NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT m Term
i) (NamesT m Term
bA NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT m Term
i)
[ (NamesT m Term
phi, String -> (NamesT m Term -> NamesT m Term) -> NamesT m Term
forall (m :: * -> *).
MonadFail m =>
String -> (NamesT m Term -> NamesT m Term) -> NamesT m Term
ilam String
"o" ((NamesT m Term -> NamesT m Term) -> NamesT m Term)
-> (NamesT m Term -> NamesT m Term) -> NamesT m Term
forall a b. (a -> b) -> a -> b
$ \NamesT m Term
o -> NamesT m Term
-> NamesT m Term -> NamesT m Term -> NamesT m Term -> NamesT m Term
forward NamesT m Term
la NamesT m Term
bA NamesT m Term
i (NamesT m Term
u NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT m Term
i NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<..> NamesT m Term
o))
, (NamesT m Term -> NamesT m Term
forall (m :: * -> *). HasBuiltins m => m Term -> m Term
ineg NamesT m Term
phi, String -> (NamesT m Term -> NamesT m Term) -> NamesT m Term
forall (m :: * -> *).
MonadFail m =>
String -> (NamesT m Term -> NamesT m Term) -> NamesT m Term
ilam String
"o" ((NamesT m Term -> NamesT m Term) -> NamesT m Term)
-> (NamesT m Term -> NamesT m Term) -> NamesT m Term
forall a b. (a -> b) -> a -> b
$ \NamesT m Term
o -> NamesT m Term
-> NamesT m Term -> NamesT m Term -> NamesT m Term -> NamesT m Term
forward NamesT m Term
la NamesT m Term
bA (Term -> NamesT m Term
forall a. a -> NamesT m a
forall (f :: * -> *) a. Applicative f => a -> f a
pure Term
iz) NamesT m Term
u0)
])
NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT m Term
-> NamesT m Term -> NamesT m Term -> NamesT m Term -> NamesT m Term
forward NamesT m Term
la NamesT m Term
bA (Term -> NamesT m Term
forall a. a -> NamesT m a
forall (f :: * -> *) a. Applicative f => a -> f a
pure Term
iz) NamesT m Term
u0
doGlueKanOp
:: forall m. PureTCM m
=> KanOperation
-> FamilyOrNot (Arg Term, Arg Term, Arg Term, Arg Term, Arg Term, Arg Term)
-> TermPosition
-> m (Maybe Term)
doGlueKanOp :: forall (m :: * -> *).
PureTCM m =>
KanOperation
-> FamilyOrNot
(Arg Term, Arg Term, Arg Term, Arg Term, Arg Term, Arg Term)
-> TermPosition
-> m (Maybe Term)
doGlueKanOp (HCompOp Blocked (Arg Term)
psi Arg Term
u Arg Term
u0) (IsNot (Arg Term
la, Arg Term
lb, Arg Term
bA, Arg Term
phi, Arg Term
bT, Arg Term
e)) TermPosition
tpos = do
let getTermLocal :: IsBuiltin a => a -> m Term
getTermLocal :: forall a. IsBuiltin a => a -> m Term
getTermLocal = String -> a -> m Term
forall (m :: * -> *) a.
(HasBuiltins m, IsBuiltin a) =>
String -> a -> m Term
getTerm (String -> a -> m Term) -> String -> a -> m Term
forall a b. (a -> b) -> a -> b
$ PrimitiveId -> String
forall a. IsBuiltin a => a -> String
getBuiltinId PrimitiveId
builtinHComp String -> String -> String
forall a. [a] -> [a] -> [a]
++ String
" for " String -> String -> String
forall a. [a] -> [a] -> [a]
++ PrimitiveId -> String
forall a. IsBuiltin a => a -> String
getBuiltinId PrimitiveId
builtinGlue
tHComp <- PrimitiveId -> m Term
forall a. IsBuiltin a => a -> m Term
getTermLocal PrimitiveId
builtinHComp
tEFun <- getTermLocal builtinEquivFun
tunglue <- getTermLocal builtin_unglue
io <- getTermLocal builtinIOne
tItIsOne <- getTermLocal builtinItIsOne
view <- intervalView'
runNamesT [] $ do
[psi, u, u0] <- mapM (open . unArg) [ignoreBlocking psi, u, u0]
[la, lb, bA, phi, bT, e] <- mapM (open . unArg) [la, lb, bA, phi, bT, e]
ifM (headStop tpos phi) (return Nothing) $ Just <$> do
let
tf NamesT m Term
i NamesT m Term
o = NamesT m Term
-> NamesT m Term
-> NamesT m Term
-> NamesT m Term
-> NamesT m Term
-> NamesT m Term
-> NamesT m Term
forall (m :: * -> *).
(HasBuiltins m, HasConstInfo m) =>
NamesT m Term
-> NamesT m Term
-> NamesT m Term
-> NamesT m Term
-> NamesT m Term
-> NamesT m Term
-> NamesT m Term
hfill NamesT m Term
lb (NamesT m Term
bT NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<..> NamesT m Term
o) NamesT m Term
psi NamesT m Term
u NamesT m Term
u0 NamesT m Term
i
unglue NamesT m Term
g = Term -> NamesT m Term
forall a. a -> NamesT m a
forall (f :: * -> *) a. Applicative f => a -> f a
pure Term
tunglue NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> NamesT m Term
la NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> NamesT m Term
lb NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> NamesT m Term
bA NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> NamesT m Term
phi NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> NamesT m Term
bT NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> NamesT m Term
e NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT m Term
g
a1 = Term -> NamesT m Term
forall a. a -> NamesT m a
forall (f :: * -> *) a. Applicative f => a -> f a
pure Term
tHComp NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> NamesT m Term
la NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> NamesT m Term
bA NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> (NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). HasBuiltins m => m Term -> m Term -> m Term
imax NamesT m Term
psi NamesT m Term
phi)
NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> String -> (NamesT m Term -> NamesT m Term) -> NamesT m Term
forall (m :: * -> *).
MonadFail m =>
String -> (NamesT m Term -> NamesT m Term) -> NamesT m Term
lam String
"i" (\NamesT m Term
i -> NamesT m Term
-> NamesT m Term
-> [(NamesT m Term, NamesT m Term)]
-> NamesT m Term
forall (m :: * -> *).
HasBuiltins m =>
NamesT m Term
-> NamesT m Term
-> [(NamesT m Term, NamesT m Term)]
-> NamesT m Term
combineSys NamesT m Term
la NamesT m Term
bA
[ (NamesT m Term
psi, String -> (NamesT m Term -> NamesT m Term) -> NamesT m Term
forall (m :: * -> *).
MonadFail m =>
String -> (NamesT m Term -> NamesT m Term) -> NamesT m Term
ilam String
"o" (\NamesT m Term
o -> NamesT m Term -> NamesT m Term
unglue (NamesT m Term
u NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT m Term
i NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<..> NamesT m Term
o)))
, (NamesT m Term
phi, String -> (NamesT m Term -> NamesT m Term) -> NamesT m Term
forall (m :: * -> *).
MonadFail m =>
String -> (NamesT m Term -> NamesT m Term) -> NamesT m Term
ilam String
"o" (\NamesT m Term
o -> Term -> NamesT m Term
forall a. a -> NamesT m a
forall (f :: * -> *) a. Applicative f => a -> f a
pure Term
tEFun NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> NamesT m Term
lb NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> NamesT m Term
la NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> (NamesT m Term
bT NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<..> NamesT m Term
o) NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> NamesT m Term
bA NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> (NamesT m Term
e NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<..> NamesT m Term
o) NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT m Term -> NamesT m Term -> NamesT m Term
tf NamesT m Term
i NamesT m Term
o))
])
NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT m Term -> NamesT m Term
unglue NamesT m Term
u0
t1 = NamesT m Term -> NamesT m Term -> NamesT m Term
tf (Term -> NamesT m Term
forall a. a -> NamesT m a
forall (f :: * -> *) a. Applicative f => a -> f a
pure Term
io)
case tpos of
TermPosition
Head -> NamesT m Term -> NamesT m Term
t1 (Term -> NamesT m Term
forall a. a -> NamesT m a
forall (f :: * -> *) a. Applicative f => a -> f a
pure Term
tItIsOne)
TermPosition
Eliminated -> NamesT m Term
a1
doGlueKanOp (TranspOp Blocked (Arg Term)
psi Arg Term
u0) (IsFam (Arg Term
la, Arg Term
lb, Arg Term
bA, Arg Term
phi, Arg Term
bT, Arg Term
e)) TermPosition
tpos = do
let
localUse :: String
localUse = PrimitiveId -> String
forall a. IsBuiltin a => a -> String
getBuiltinId PrimitiveId
builtinTrans String -> String -> String
forall a. [a] -> [a] -> [a]
++ String
" for " String -> String -> String
forall a. [a] -> [a] -> [a]
++ PrimitiveId -> String
forall a. IsBuiltin a => a -> String
getBuiltinId PrimitiveId
builtinGlue
getTermLocal :: IsBuiltin a => a -> m Term
getTermLocal :: forall a. IsBuiltin a => a -> m Term
getTermLocal = String -> a -> m Term
forall (m :: * -> *) a.
(HasBuiltins m, IsBuiltin a) =>
String -> a -> m Term
getTerm String
localUse
tHComp <- PrimitiveId -> m Term
forall a. IsBuiltin a => a -> m Term
getTermLocal PrimitiveId
builtinHComp
tTrans <- getTermLocal builtinTrans
tForall <- getTermLocal builtinFaceForall
tEFun <- getTermLocal builtinEquivFun
tEProof <- getTermLocal builtinEquivProof
toutS <- getTermLocal builtinSubOut
tunglue <- getTermLocal builtin_unglue
io <- getTermLocal builtinIOne
iz <- getTermLocal builtinIZero
tLMax <- getTermLocal builtinLevelMax
tTransp <- getTermLocal builtinTranspProof
tItIsOne <- getTermLocal builtinItIsOne
kit <- fromMaybe __IMPOSSIBLE__ <$> getSigmaKit
runNamesT [] $ do
gcomp <- mkGComp localUse
let transpFill NamesT m Term
la NamesT m Term
bA NamesT m Term
phi NamesT m Term
u0 NamesT m Term
i =
Term -> NamesT m Term
forall a. a -> NamesT m a
forall (f :: * -> *) a. Applicative f => a -> f a
pure Term
tTrans NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> String -> (NamesT m Term -> NamesT m Term) -> NamesT m Term
forall (m :: * -> *).
MonadFail m =>
String -> (NamesT m Term -> NamesT m Term) -> NamesT m Term
lam String
"j" (\ NamesT m Term
j -> NamesT m Term
la NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). HasBuiltins m => m Term -> m Term -> m Term
imin NamesT m Term
i NamesT m Term
j)
NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> String -> (NamesT m Term -> NamesT m Term) -> NamesT m Term
forall (m :: * -> *).
MonadFail m =>
String -> (NamesT m Term -> NamesT m Term) -> NamesT m Term
lam String
"j" (\ NamesT m Term
j -> NamesT m Term
bA NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). HasBuiltins m => m Term -> m Term -> m Term
imin NamesT m Term
i NamesT m Term
j)
NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> (NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). HasBuiltins m => m Term -> m Term -> m Term
imax NamesT m Term
phi (NamesT m Term -> NamesT m Term
forall (m :: * -> *). HasBuiltins m => m Term -> m Term
ineg NamesT m Term
i))
NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT m Term
u0
[psi,u0] <- mapM (open . unArg) [ignoreBlocking psi,u0]
[la, lb, bA, phi, bT, e] <- mapM (\ Arg Term
a -> Term -> NamesT m (NamesT m Term)
forall (m :: * -> *) a.
(MonadFail m, Subst a) =>
a -> NamesT m (NamesT m a)
open (Term -> NamesT m (NamesT m Term))
-> (NamesT Fail Term -> Term)
-> NamesT Fail Term
-> NamesT m (NamesT m Term)
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Names -> NamesT Fail Term -> Term
forall a. Names -> NamesT Fail a -> a
runNames [] (NamesT Fail Term -> NamesT m (NamesT m Term))
-> NamesT Fail Term -> NamesT m (NamesT m Term)
forall a b. (a -> b) -> a -> b
$ String
-> (NamesT Fail Term -> NamesT Fail Term) -> NamesT Fail Term
forall (m :: * -> *).
MonadFail m =>
String -> (NamesT m Term -> NamesT m Term) -> NamesT m Term
lam String
"i" (NamesT Fail Term -> NamesT Fail Term -> NamesT Fail Term
forall a b. a -> b -> a
const (Term -> NamesT Fail Term
forall a. a -> NamesT Fail a
forall (f :: * -> *) a. Applicative f => a -> f a
pure (Term -> NamesT Fail Term) -> Term -> NamesT Fail Term
forall a b. (a -> b) -> a -> b
$ Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
a))) [la, lb, bA, phi, bT, e]
let unglue_u0 NamesT m Term
i = (NamesT m Term -> NamesT m Term -> NamesT m Term)
-> NamesT m Term -> [NamesT m Term] -> NamesT m Term
forall b a. (b -> a -> b) -> b -> [a] -> b
forall (t :: * -> *) b a.
Foldable t =>
(b -> a -> b) -> b -> t a -> b
foldl NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
(<#>) (Term -> NamesT m Term
forall a. a -> NamesT m a
forall (f :: * -> *) a. Applicative f => a -> f a
pure Term
tunglue) ((NamesT m Term -> NamesT m Term)
-> [NamesT m Term] -> [NamesT m Term]
forall a b. (a -> b) -> [a] -> [b]
map (NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT m Term
i) [NamesT m Term
la, NamesT m Term
lb, NamesT m Term
bA, NamesT m Term
phi, NamesT m Term
bT, NamesT m Term
e]) NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT m Term
u0
view <- intervalView'
ifM (headStop tpos (phi <@> pure io)) (return Nothing) $ Just <$> do
let
tf NamesT m Term
i NamesT m Term
o = NamesT m Term
-> NamesT m Term
-> NamesT m Term
-> NamesT m Term
-> NamesT m Term
-> NamesT m Term
transpFill NamesT m Term
lb (String -> (NamesT m Term -> NamesT m Term) -> NamesT m Term
forall (m :: * -> *).
MonadFail m =>
String -> (NamesT m Term -> NamesT m Term) -> NamesT m Term
lam String
"i" ((NamesT m Term -> NamesT m Term) -> NamesT m Term)
-> (NamesT m Term -> NamesT m Term) -> NamesT m Term
forall a b. (a -> b) -> a -> b
$ \ NamesT m Term
i -> NamesT m Term
bT NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT m Term
i NamesT m Term -> NamesT m Term -> NamesT m Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<..> NamesT m Term
o) NamesT m Term
psi NamesT m Term
u0 NamesT m Term
i
t1 NamesT m Term
o = NamesT m Term -> NamesT m Term -> NamesT m Term
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-> NamesT (TCMT IO) Type)
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall a b. (a -> b) -> a -> b
$ \ NamesT (TCMT IO) Term
lb ->
String
-> NamesT (TCMT IO) Type
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall (m :: * -> *).
(MonadFail m, MonadAddContext m, MonadDebug m) =>
String
-> NamesT m Type
-> (NamesT m Term -> NamesT m Type)
-> NamesT m Type
nPi' String
"A" (Sort -> Type
sort (Sort -> Type) -> (Term -> Sort) -> Term -> Type
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Term -> Sort
tmSort (Term -> Type) -> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> NamesT (TCMT IO) Term
la) ((NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type)
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall a b. (a -> b) -> a -> b
$ \ NamesT (TCMT IO) Term
a ->
String
-> NamesT (TCMT IO) Type
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall (m :: * -> *).
(MonadFail m, MonadAddContext m, MonadDebug m) =>
String
-> NamesT m Type
-> (NamesT m Term -> NamesT m Type)
-> NamesT m Type
hPi' String
"φ" NamesT (TCMT IO) Type
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Type
primIntervalType ((NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type)
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall a b. (a -> b) -> a -> b
$ \ NamesT (TCMT IO) Term
φ ->
String
-> NamesT (TCMT IO) Type
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall (m :: * -> *).
(MonadFail m, MonadAddContext m, MonadDebug m) =>
String
-> NamesT m Type
-> (NamesT m Term -> NamesT m Type)
-> NamesT m Type
nPi' String
"T" (String
-> NamesT (TCMT IO) Term
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall (m :: * -> *).
(MonadAddContext m, HasBuiltins m, MonadDebug m) =>
String
-> NamesT m Term
-> (NamesT m Term -> NamesT m Type)
-> NamesT m Type
pPi' String
"o" NamesT (TCMT IO) Term
φ ((NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type)
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall a b. (a -> b) -> a -> b
$ \ NamesT (TCMT IO) Term
o -> NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Type
el' (TCMT IO Term -> NamesT (TCMT IO) Term
forall (m :: * -> *) a. Monad m => m a -> NamesT m a
cl TCMT IO Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Term
primLevelSuc NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT (TCMT IO) Term
lb) (Sort -> Term
Sort (Sort -> Term) -> (Term -> Sort) -> Term -> Term
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Term -> Sort
tmSort (Term -> Term) -> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> NamesT (TCMT IO) Term
lb)) ((NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type)
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall a b. (a -> b) -> a -> b
$ \ NamesT (TCMT IO) Term
t ->
String
-> NamesT (TCMT IO) Term
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall (m :: * -> *).
(MonadAddContext m, HasBuiltins m, MonadDebug m) =>
String
-> NamesT m Term
-> (NamesT m Term -> NamesT m Type)
-> NamesT m Type
pPi' String
"o" NamesT (TCMT IO) Term
φ (\ NamesT (TCMT IO) Term
o -> NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Type
el' (TCMT IO Term -> NamesT (TCMT IO) Term
forall (m :: * -> *) a. Monad m => m a -> NamesT m a
cl TCMT IO Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Term
primLevelMax NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT (TCMT IO) Term
la NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT (TCMT IO) Term
lb) (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type
forall a b. (a -> b) -> a -> b
$ TCMT IO Term -> NamesT (TCMT IO) Term
forall (m :: * -> *) a. Monad m => m a -> NamesT m a
cl TCMT IO Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Term
primEquiv NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> NamesT (TCMT IO) Term
lb NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> NamesT (TCMT IO) Term
la NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> (NamesT (TCMT IO) Term
t NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT (TCMT IO) Term
o) NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT (TCMT IO) Term
a)
NamesT (TCMT IO) Type
-> NamesT (TCMT IO) Type -> NamesT (TCMT IO) Type
forall (m :: * -> *). Applicative m => m Type -> m Type -> m Type
--> (Sort -> Type
sort (Sort -> Type) -> (Term -> Sort) -> Term -> Type
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Term -> Sort
tmSort (Term -> Type) -> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> NamesT (TCMT IO) Term
lb))
view <- intervalView'
one <- primItIsOne
return $ PrimImpl t $ primFun __IMPOSSIBLE__ 6 $ \[Arg Term]
ts ->
case [Arg Term]
ts of
[Arg Term
la,Arg Term
lb,Arg Term
a,Arg Term
phi,Arg Term
t,Arg Term
e] -> do
sphi <- Arg Term -> ReduceM (Blocked (Arg Term))
forall t. Reduce t => t -> ReduceM (Blocked t)
reduceB' Arg Term
phi
case view $ unArg $ ignoreBlocking $ sphi of
IntervalView
IOne -> Term -> ReduceM (Reduced MaybeReducedArgs Term)
forall a a'. a -> ReduceM (Reduced a' a)
redReturn (Term -> ReduceM (Reduced MaybeReducedArgs Term))
-> Term -> ReduceM (Reduced MaybeReducedArgs Term)
forall a b. (a -> b) -> a -> b
$ Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
t Term -> [Arg Term] -> Term
forall t. Apply t => t -> [Arg Term] -> t
`apply` [Term -> Arg Term
forall e. e -> Arg e
argN Term
one]
IntervalView
_ -> Reduced MaybeReducedArgs Term
-> ReduceM (Reduced MaybeReducedArgs Term)
forall a. a -> ReduceM a
forall (m :: * -> *) a. Monad m => a -> m a
return (MaybeReducedArgs -> Reduced MaybeReducedArgs Term
forall no yes. no -> Reduced no yes
NoReduction (MaybeReducedArgs -> Reduced MaybeReducedArgs Term)
-> MaybeReducedArgs -> Reduced MaybeReducedArgs Term
forall a b. (a -> b) -> a -> b
$ (Arg Term -> MaybeReduced (Arg Term))
-> [Arg Term] -> MaybeReducedArgs
forall a b. (a -> b) -> [a] -> [b]
map Arg Term -> MaybeReduced (Arg Term)
forall a. a -> MaybeReduced a
notReduced [Arg Term
la,Arg Term
lb,Arg Term
a] MaybeReducedArgs -> MaybeReducedArgs -> MaybeReducedArgs
forall a. [a] -> [a] -> [a]
++ [Blocked (Arg Term) -> MaybeReduced (Arg Term)
reduced Blocked (Arg Term)
sphi] MaybeReducedArgs -> MaybeReducedArgs -> MaybeReducedArgs
forall a. [a] -> [a] -> [a]
++ (Arg Term -> MaybeReduced (Arg Term))
-> [Arg Term] -> MaybeReducedArgs
forall a b. (a -> b) -> [a] -> [b]
map Arg Term -> MaybeReduced (Arg Term)
forall a. a -> MaybeReduced a
notReduced [Arg Term
t,Arg Term
e])
[Arg Term]
_ -> ReduceM (Reduced MaybeReducedArgs Term)
forall a. HasCallStack => a
__IMPOSSIBLE__
prim_glue' :: TCM PrimitiveImpl
prim_glue' :: TCM PrimitiveImpl
prim_glue' = do
Cubical -> String -> TCM ()
requireCubical Cubical
CFull String
""
t <- Names -> NamesT (TCMT IO) Type -> TCMT IO Type
forall (m :: * -> *) a. Names -> NamesT m a -> m a
runNamesT [] (NamesT (TCMT IO) Type -> TCMT IO Type)
-> NamesT (TCMT IO) Type -> TCMT IO Type
forall a b. (a -> b) -> a -> b
$
String
-> NamesT (TCMT IO) Type
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall (m :: * -> *).
(MonadFail m, MonadAddContext m, MonadDebug m) =>
String
-> NamesT m Type
-> (NamesT m Term -> NamesT m Type)
-> NamesT m Type
hPi' String
"la" (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type
forall (m :: * -> *). Functor m => m Term -> m Type
el (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type
forall a b. (a -> b) -> a -> b
$ TCMT IO Term -> NamesT (TCMT IO) Term
forall (m :: * -> *) a. Monad m => m a -> NamesT m a
cl TCMT IO Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Term
primLevel) (\ NamesT (TCMT IO) Term
la ->
String
-> NamesT (TCMT IO) Type
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall (m :: * -> *).
(MonadFail m, MonadAddContext m, MonadDebug m) =>
String
-> NamesT m Type
-> (NamesT m Term -> NamesT m Type)
-> NamesT m Type
hPi' String
"lb" (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type
forall (m :: * -> *). Functor m => m Term -> m Type
el (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type
forall a b. (a -> b) -> a -> b
$ TCMT IO Term -> NamesT (TCMT IO) Term
forall (m :: * -> *) a. Monad m => m a -> NamesT m a
cl TCMT IO Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Term
primLevel) ((NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type)
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall a b. (a -> b) -> a -> b
$ \ NamesT (TCMT IO) Term
lb ->
String
-> NamesT (TCMT IO) Type
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall (m :: * -> *).
(MonadFail m, MonadAddContext m, MonadDebug m) =>
String
-> NamesT m Type
-> (NamesT m Term -> NamesT m Type)
-> NamesT m Type
hPi' String
"A" (Sort -> Type
sort (Sort -> Type) -> (Term -> Sort) -> Term -> Type
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Term -> Sort
tmSort (Term -> Type) -> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> NamesT (TCMT IO) Term
la) ((NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type)
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall a b. (a -> b) -> a -> b
$ \ NamesT (TCMT IO) Term
a ->
String
-> NamesT (TCMT IO) Type
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall (m :: * -> *).
(MonadFail m, MonadAddContext m, MonadDebug m) =>
String
-> NamesT m Type
-> (NamesT m Term -> NamesT m Type)
-> NamesT m Type
hPi' String
"φ" NamesT (TCMT IO) Type
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Type
primIntervalType ((NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type)
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall a b. (a -> b) -> a -> b
$ \ NamesT (TCMT IO) Term
φ ->
String
-> NamesT (TCMT IO) Type
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall (m :: * -> *).
(MonadFail m, MonadAddContext m, MonadDebug m) =>
String
-> NamesT m Type
-> (NamesT m Term -> NamesT m Type)
-> NamesT m Type
hPi' String
"T" (String
-> NamesT (TCMT IO) Term
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall (m :: * -> *).
(MonadAddContext m, HasBuiltins m, MonadDebug m) =>
String
-> NamesT m Term
-> (NamesT m Term -> NamesT m Type)
-> NamesT m Type
pPi' String
"o" NamesT (TCMT IO) Term
φ ((NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type)
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall a b. (a -> b) -> a -> b
$ \ NamesT (TCMT IO) Term
o -> NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Type
el' (TCMT IO Term -> NamesT (TCMT IO) Term
forall (m :: * -> *) a. Monad m => m a -> NamesT m a
cl TCMT IO Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Term
primLevelSuc NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT (TCMT IO) Term
lb) (Sort -> Term
Sort (Sort -> Term) -> (Term -> Sort) -> Term -> Term
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Term -> Sort
tmSort (Term -> Term) -> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> NamesT (TCMT IO) Term
lb)) ((NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type)
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall a b. (a -> b) -> a -> b
$ \ NamesT (TCMT IO) Term
t ->
String
-> NamesT (TCMT IO) Type
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall (m :: * -> *).
(MonadFail m, MonadAddContext m, MonadDebug m) =>
String
-> NamesT m Type
-> (NamesT m Term -> NamesT m Type)
-> NamesT m Type
hPi' String
"e" (String
-> NamesT (TCMT IO) Term
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall (m :: * -> *).
(MonadAddContext m, HasBuiltins m, MonadDebug m) =>
String
-> NamesT m Term
-> (NamesT m Term -> NamesT m Type)
-> NamesT m Type
pPi' String
"o" NamesT (TCMT IO) Term
φ ((NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type)
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall a b. (a -> b) -> a -> b
$ \ NamesT (TCMT IO) Term
o -> NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Type
el' (TCMT IO Term -> NamesT (TCMT IO) Term
forall (m :: * -> *) a. Monad m => m a -> NamesT m a
cl TCMT IO Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Term
primLevelMax NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT (TCMT IO) Term
la NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT (TCMT IO) Term
lb) (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type
forall a b. (a -> b) -> a -> b
$ TCMT IO Term -> NamesT (TCMT IO) Term
forall (m :: * -> *) a. Monad m => m a -> NamesT m a
cl TCMT IO Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Term
primEquiv NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> NamesT (TCMT IO) Term
lb NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> NamesT (TCMT IO) Term
la NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> (NamesT (TCMT IO) Term
t NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT (TCMT IO) Term
o) NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT (TCMT IO) Term
a) ((NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type)
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall a b. (a -> b) -> a -> b
$ \ NamesT (TCMT IO) Term
e ->
String
-> NamesT (TCMT IO) Term
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall (m :: * -> *).
(MonadAddContext m, HasBuiltins m, MonadDebug m) =>
String
-> NamesT m Term
-> (NamesT m Term -> NamesT m Type)
-> NamesT m Type
pPi' String
"o" NamesT (TCMT IO) Term
φ (\ NamesT (TCMT IO) Term
o -> NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Type
el' NamesT (TCMT IO) Term
lb (NamesT (TCMT IO) Term
t NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT (TCMT IO) Term
o)) NamesT (TCMT IO) Type
-> NamesT (TCMT IO) Type -> NamesT (TCMT IO) Type
forall (m :: * -> *). Applicative m => m Type -> m Type -> m Type
--> (NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Type
el' NamesT (TCMT IO) Term
la NamesT (TCMT IO) Term
a NamesT (TCMT IO) Type
-> NamesT (TCMT IO) Type -> NamesT (TCMT IO) Type
forall (m :: * -> *). Applicative m => m Type -> m Type -> m Type
--> NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Type
el' NamesT (TCMT IO) Term
lb (TCMT IO Term -> NamesT (TCMT IO) Term
forall (m :: * -> *) a. Monad m => m a -> NamesT m a
cl TCMT IO Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Term
primGlue NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> NamesT (TCMT IO) Term
la NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> NamesT (TCMT IO) Term
lb NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT (TCMT IO) Term
a NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> NamesT (TCMT IO) Term
φ NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT (TCMT IO) Term
t NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT (TCMT IO) Term
e)))
view <- intervalView'
one <- primItIsOne
return $ PrimImpl t $ primFun __IMPOSSIBLE__ 8 $ \case
[Arg Term
la, Arg Term
lb, Arg Term
bA, Arg Term
phi, Arg Term
bT, Arg Term
e, Arg Term
t, Arg Term
a] -> do
sphi <- Arg Term -> ReduceM (Blocked (Arg Term))
forall t. Reduce t => t -> ReduceM (Blocked t)
reduceB' Arg Term
phi
case view $ unArg $ ignoreBlocking $ sphi of
IntervalView
IOne -> Term -> ReduceM (Reduced MaybeReducedArgs Term)
forall a a'. a -> ReduceM (Reduced a' a)
redReturn (Term -> ReduceM (Reduced MaybeReducedArgs Term))
-> Term -> ReduceM (Reduced MaybeReducedArgs Term)
forall a b. (a -> b) -> a -> b
$ Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
t Term -> [Arg Term] -> Term
forall t. Apply t => t -> [Arg Term] -> t
`apply` [Term -> Arg Term
forall e. e -> Arg e
argN Term
one]
IntervalView
_ -> Reduced MaybeReducedArgs Term
-> ReduceM (Reduced MaybeReducedArgs Term)
forall a. a -> ReduceM a
forall (m :: * -> *) a. Monad m => a -> m a
return (MaybeReducedArgs -> Reduced MaybeReducedArgs Term
forall no yes. no -> Reduced no yes
NoReduction (MaybeReducedArgs -> Reduced MaybeReducedArgs Term)
-> MaybeReducedArgs -> Reduced MaybeReducedArgs Term
forall a b. (a -> b) -> a -> b
$ (Arg Term -> MaybeReduced (Arg Term))
-> [Arg Term] -> MaybeReducedArgs
forall a b. (a -> b) -> [a] -> [b]
map Arg Term -> MaybeReduced (Arg Term)
forall a. a -> MaybeReduced a
notReduced [Arg Term
la,Arg Term
lb,Arg Term
bA] MaybeReducedArgs -> MaybeReducedArgs -> MaybeReducedArgs
forall a. [a] -> [a] -> [a]
++ [Blocked (Arg Term) -> MaybeReduced (Arg Term)
reduced Blocked (Arg Term)
sphi] MaybeReducedArgs -> MaybeReducedArgs -> MaybeReducedArgs
forall a. [a] -> [a] -> [a]
++ (Arg Term -> MaybeReduced (Arg Term))
-> [Arg Term] -> MaybeReducedArgs
forall a b. (a -> b) -> [a] -> [b]
map Arg Term -> MaybeReduced (Arg Term)
forall a. a -> MaybeReduced a
notReduced [Arg Term
bT,Arg Term
e,Arg Term
t,Arg Term
a])
[Arg Term]
_ -> ReduceM (Reduced MaybeReducedArgs Term)
forall a. HasCallStack => a
__IMPOSSIBLE__
prim_unglue' :: TCM PrimitiveImpl
prim_unglue' :: TCM PrimitiveImpl
prim_unglue' = do
Cubical -> String -> TCM ()
requireCubical Cubical
CFull String
""
t <- Names -> NamesT (TCMT IO) Type -> TCMT IO Type
forall (m :: * -> *) a. Names -> NamesT m a -> m a
runNamesT [] (NamesT (TCMT IO) Type -> TCMT IO Type)
-> NamesT (TCMT IO) Type -> TCMT IO Type
forall a b. (a -> b) -> a -> b
$
String
-> NamesT (TCMT IO) Type
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall (m :: * -> *).
(MonadFail m, MonadAddContext m, MonadDebug m) =>
String
-> NamesT m Type
-> (NamesT m Term -> NamesT m Type)
-> NamesT m Type
hPi' String
"la" (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type
forall (m :: * -> *). Functor m => m Term -> m Type
el (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type
forall a b. (a -> b) -> a -> b
$ TCMT IO Term -> NamesT (TCMT IO) Term
forall (m :: * -> *) a. Monad m => m a -> NamesT m a
cl TCMT IO Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Term
primLevel) (\ NamesT (TCMT IO) Term
la ->
String
-> NamesT (TCMT IO) Type
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall (m :: * -> *).
(MonadFail m, MonadAddContext m, MonadDebug m) =>
String
-> NamesT m Type
-> (NamesT m Term -> NamesT m Type)
-> NamesT m Type
hPi' String
"lb" (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type
forall (m :: * -> *). Functor m => m Term -> m Type
el (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type
forall a b. (a -> b) -> a -> b
$ TCMT IO Term -> NamesT (TCMT IO) Term
forall (m :: * -> *) a. Monad m => m a -> NamesT m a
cl TCMT IO Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Term
primLevel) ((NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type)
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall a b. (a -> b) -> a -> b
$ \ NamesT (TCMT IO) Term
lb ->
String
-> NamesT (TCMT IO) Type
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall (m :: * -> *).
(MonadFail m, MonadAddContext m, MonadDebug m) =>
String
-> NamesT m Type
-> (NamesT m Term -> NamesT m Type)
-> NamesT m Type
hPi' String
"A" (Sort -> Type
sort (Sort -> Type) -> (Term -> Sort) -> Term -> Type
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Term -> Sort
tmSort (Term -> Type) -> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> NamesT (TCMT IO) Term
la) ((NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type)
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall a b. (a -> b) -> a -> b
$ \ NamesT (TCMT IO) Term
a ->
String
-> NamesT (TCMT IO) Type
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall (m :: * -> *).
(MonadFail m, MonadAddContext m, MonadDebug m) =>
String
-> NamesT m Type
-> (NamesT m Term -> NamesT m Type)
-> NamesT m Type
hPi' String
"φ" NamesT (TCMT IO) Type
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Type
primIntervalType ((NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type)
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall a b. (a -> b) -> a -> b
$ \ NamesT (TCMT IO) Term
φ ->
String
-> NamesT (TCMT IO) Type
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall (m :: * -> *).
(MonadFail m, MonadAddContext m, MonadDebug m) =>
String
-> NamesT m Type
-> (NamesT m Term -> NamesT m Type)
-> NamesT m Type
hPi' String
"T" (String
-> NamesT (TCMT IO) Term
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall (m :: * -> *).
(MonadAddContext m, HasBuiltins m, MonadDebug m) =>
String
-> NamesT m Term
-> (NamesT m Term -> NamesT m Type)
-> NamesT m Type
pPi' String
"o" NamesT (TCMT IO) Term
φ ((NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type)
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall a b. (a -> b) -> a -> b
$ \ NamesT (TCMT IO) Term
o -> NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Type
el' (TCMT IO Term -> NamesT (TCMT IO) Term
forall (m :: * -> *) a. Monad m => m a -> NamesT m a
cl TCMT IO Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Term
primLevelSuc NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT (TCMT IO) Term
lb) (Sort -> Term
Sort (Sort -> Term) -> (Term -> Sort) -> Term -> Term
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Term -> Sort
tmSort (Term -> Term) -> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> NamesT (TCMT IO) Term
lb)) ((NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type)
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall a b. (a -> b) -> a -> b
$ \ NamesT (TCMT IO) Term
t ->
String
-> NamesT (TCMT IO) Type
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall (m :: * -> *).
(MonadFail m, MonadAddContext m, MonadDebug m) =>
String
-> NamesT m Type
-> (NamesT m Term -> NamesT m Type)
-> NamesT m Type
hPi' String
"e" (String
-> NamesT (TCMT IO) Term
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall (m :: * -> *).
(MonadAddContext m, HasBuiltins m, MonadDebug m) =>
String
-> NamesT m Term
-> (NamesT m Term -> NamesT m Type)
-> NamesT m Type
pPi' String
"o" NamesT (TCMT IO) Term
φ ((NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type)
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall a b. (a -> b) -> a -> b
$ \ NamesT (TCMT IO) Term
o -> NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Type
el' (TCMT IO Term -> NamesT (TCMT IO) Term
forall (m :: * -> *) a. Monad m => m a -> NamesT m a
cl TCMT IO Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Term
primLevelMax NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT (TCMT IO) Term
la NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT (TCMT IO) Term
lb) (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type
forall a b. (a -> b) -> a -> b
$ TCMT IO Term -> NamesT (TCMT IO) Term
forall (m :: * -> *) a. Monad m => m a -> NamesT m a
cl TCMT IO Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Term
primEquiv NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> NamesT (TCMT IO) Term
lb NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> NamesT (TCMT IO) Term
la NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> (NamesT (TCMT IO) Term
t NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT (TCMT IO) Term
o) NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT (TCMT IO) Term
a) ((NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type)
-> (NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type)
-> NamesT (TCMT IO) Type
forall a b. (a -> b) -> a -> b
$ \ NamesT (TCMT IO) Term
e ->
(NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Type
el' NamesT (TCMT IO) Term
lb (TCMT IO Term -> NamesT (TCMT IO) Term
forall (m :: * -> *) a. Monad m => m a -> NamesT m a
cl TCMT IO Term
forall (m :: * -> *).
(HasBuiltins m, MonadError TCErr m, MonadTCEnv m, ReadTCState m) =>
m Term
primGlue NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> NamesT (TCMT IO) Term
la NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> NamesT (TCMT IO) Term
lb NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT (TCMT IO) Term
a NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<#> NamesT (TCMT IO) Term
φ NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT (TCMT IO) Term
t NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Term
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Term
<@> NamesT (TCMT IO) Term
e)) NamesT (TCMT IO) Type
-> NamesT (TCMT IO) Type -> NamesT (TCMT IO) Type
forall (m :: * -> *). Applicative m => m Type -> m Type -> m Type
--> NamesT (TCMT IO) Term
-> NamesT (TCMT IO) Term -> NamesT (TCMT IO) Type
forall (m :: * -> *). Applicative m => m Term -> m Term -> m Type
el' NamesT (TCMT IO) Term
la NamesT (TCMT IO) Term
a)
view <- intervalView'
one <- primItIsOne
mGlue <- getPrimitiveName' builtinGlue
mglue <- getPrimitiveName' builtin_glue
mtransp <- getPrimitiveName' builtinTrans
mhcomp <- getPrimitiveName' builtinHComp
return $ PrimImpl t $ primFun __IMPOSSIBLE__ 7 $ \case
[Arg Term
la, Arg Term
lb, Arg Term
bA, Arg Term
phi, Arg Term
bT, Arg Term
e, Arg Term
b] -> do
sphi <- Arg Term -> ReduceM (Blocked (Arg Term))
forall t. Reduce t => t -> ReduceM (Blocked t)
reduceB' Arg Term
phi
case view $ unArg $ ignoreBlocking $ sphi of
IntervalView
IOne -> do
let argOne :: Arg Term
argOne = Relevance -> Arg Term -> Arg Term
forall a. LensRelevance a => Relevance -> a -> a
setRelevance Relevance
Irrelevant (Arg Term -> Arg Term) -> Arg Term -> Arg Term
forall a b. (a -> b) -> a -> b
$ Term -> Arg Term
forall e. e -> Arg e
argN Term
one
tEFun <- String -> BuiltinId -> ReduceM Term
forall (m :: * -> *) a.
(HasBuiltins m, IsBuiltin a) =>
String -> a -> m Term
getTerm (PrimitiveId -> String
forall a. IsBuiltin a => a -> String
getBuiltinId PrimitiveId
builtin_unglue) BuiltinId
builtinEquivFun
redReturn $ tEFun `apply` [lb,la,argH $ unArg bT `apply` [argOne],bA, argN $ unArg e `apply` [argOne],b]
IntervalView
_ -> do
sb <- Arg Term -> ReduceM (Blocked (Arg Term))
forall t. Reduce t => t -> ReduceM (Blocked t)
reduceB' Arg Term
b
let fallback Blocked (Arg Term)
sbA = Reduced MaybeReducedArgs Term
-> ReduceM (Reduced MaybeReducedArgs Term)
forall a. a -> ReduceM a
forall (m :: * -> *) a. Monad m => a -> m a
return (MaybeReducedArgs -> Reduced MaybeReducedArgs Term
forall no yes. no -> Reduced no yes
NoReduction (MaybeReducedArgs -> Reduced MaybeReducedArgs Term)
-> MaybeReducedArgs -> Reduced MaybeReducedArgs Term
forall a b. (a -> b) -> a -> b
$ (Arg Term -> MaybeReduced (Arg Term))
-> [Arg Term] -> MaybeReducedArgs
forall a b. (a -> b) -> [a] -> [b]
map Arg Term -> MaybeReduced (Arg Term)
forall a. a -> MaybeReduced a
notReduced [Arg Term
la,Arg Term
lb] MaybeReducedArgs -> MaybeReducedArgs -> MaybeReducedArgs
forall a. [a] -> [a] -> [a]
++ (Blocked (Arg Term) -> MaybeReduced (Arg Term))
-> [Blocked (Arg Term)] -> MaybeReducedArgs
forall a b. (a -> b) -> [a] -> [b]
map Blocked (Arg Term) -> MaybeReduced (Arg Term)
reduced [Blocked (Arg Term)
sbA, Blocked (Arg Term)
sphi] MaybeReducedArgs -> MaybeReducedArgs -> MaybeReducedArgs
forall a. [a] -> [a] -> [a]
++ (Arg Term -> MaybeReduced (Arg Term))
-> [Arg Term] -> MaybeReducedArgs
forall a b. (a -> b) -> [a] -> [b]
map Arg Term -> MaybeReduced (Arg Term)
forall a. a -> MaybeReduced a
notReduced [Arg Term
bT,Arg Term
e] MaybeReducedArgs -> MaybeReducedArgs -> MaybeReducedArgs
forall a. [a] -> [a] -> [a]
++ [Blocked (Arg Term) -> MaybeReduced (Arg Term)
reduced Blocked (Arg Term)
sb])
case unArg $ ignoreBlocking $ sb of
Def QName
q Elims
es
| Just [Arg Term
_, Arg Term
_, Arg Term
_, Arg Term
_, Arg Term
_, Arg Term
_, Arg Term
_, Arg Term
a] <- Elims -> Maybe [Arg Term]
forall a. [Elim' a] -> Maybe [Arg a]
allApplyElims Elims
es
, QName -> Maybe QName
forall a. a -> Maybe a
Just QName
q Maybe QName -> Maybe QName -> Bool
forall a. Eq a => a -> a -> Bool
== Maybe QName
mglue -> Term -> ReduceM (Reduced MaybeReducedArgs Term)
forall a a'. a -> ReduceM (Reduced a' a)
redReturn (Term -> ReduceM (Reduced MaybeReducedArgs Term))
-> Term -> ReduceM (Reduced MaybeReducedArgs Term)
forall a b. (a -> b) -> a -> b
$ Arg Term -> Term
forall e. Arg e -> e
unArg Arg Term
a
Def QName
q [Apply Arg Term
l, Apply Arg Term
bA, Apply Arg Term
r, Apply Arg Term
u0] | QName -> Maybe QName
forall a. a -> Maybe a
Just QName
q Maybe QName -> Maybe QName -> Bool
forall a. Eq a => a -> a -> Bool
== Maybe QName
mtransp -> do
sbA <- Arg Term -> ReduceM (Blocked (Arg Term))
forall t. Reduce t => t -> ReduceM (Blocked t)
reduceB' Arg Term
bA
case unArg $ ignoreBlocking sbA of
Lam ArgInfo
_ Abs Term
t -> do
st <- Term -> ReduceM (Blocked Term)
forall t. Reduce t => t -> ReduceM (Blocked t)
reduceB' (Abs Term -> Term
forall a. Subst a => Abs a -> a
absBody Abs Term
t)
case ignoreBlocking st of
Def QName
g Elims
es | Just [Arg Term
la', Arg Term
lb', Arg Term
bA', Arg Term
phi', Arg Term
bT', Arg Term
e'] <- Elims -> Maybe [Arg Term]
forall a. [Elim' a] -> Maybe [Arg a]
allApplyElims Elims
es, QName -> Maybe QName
forall a. a -> Maybe a
Just QName
g Maybe QName -> Maybe QName -> Bool
forall a. Eq a => a -> a -> Bool
== Maybe QName
mGlue -> do
Term -> ReduceM (Reduced MaybeReducedArgs Term)
forall a a'. a -> ReduceM (Reduced a' a)
redReturn (Term -> ReduceM (Reduced MaybeReducedArgs Term))
-> (Maybe Term -> Term)
-> Maybe Term
-> ReduceM (Reduced MaybeReducedArgs Term)
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Term -> Maybe Term -> Term
forall a. a -> Maybe a -> a
fromMaybe Term
forall a. HasCallStack => a
__IMPOSSIBLE__ (Maybe Term -> ReduceM (Reduced MaybeReducedArgs Term))
-> ReduceM (Maybe Term) -> ReduceM (Reduced MaybeReducedArgs Term)
forall (m :: * -> *) a b. Monad m => (a -> m b) -> m a -> m b
=<<
KanOperation
-> FamilyOrNot
(Arg Term, Arg Term, Arg Term, Arg Term, Arg Term, Arg Term)
-> TermPosition
-> ReduceM (Maybe Term)
forall (m :: * -> *).
PureTCM m =>
KanOperation
-> FamilyOrNot
(Arg Term, Arg Term, Arg Term, Arg Term, Arg Term, Arg Term)
-> TermPosition
-> m (Maybe Term)
doGlueKanOp (Blocked (Arg Term) -> Arg Term -> KanOperation
TranspOp (Arg Term -> Blocked (Arg Term)
forall a t. a -> Blocked' t a
notBlocked Arg Term
r) Arg Term
u0) ((Arg Term, Arg Term, Arg Term, Arg Term, Arg Term, Arg Term)
-> FamilyOrNot
(Arg Term, Arg Term, Arg Term, Arg Term, Arg Term, Arg Term)
forall a. a -> FamilyOrNot a
IsFam (Arg Term
la',Arg Term
lb',Arg Term
bA',Arg Term
phi',Arg Term
bT',Arg Term
e')) TermPosition
Eliminated
Term
_ -> Blocked (Arg Term) -> ReduceM (Reduced MaybeReducedArgs Term)
fallback (Blocked Term
st Blocked Term -> Blocked (Arg Term) -> Blocked (Arg Term)
forall a b. Blocked' Term a -> Blocked' Term b -> Blocked' Term b
forall (f :: * -> *) a b. Applicative f => f a -> f b -> f b
*> Blocked (Arg Term)
sbA)
Term
_ -> Blocked (Arg Term) -> ReduceM (Reduced MaybeReducedArgs Term)
fallback Blocked (Arg Term)
sbA
Def QName
q [Apply Arg Term
l,Apply Arg Term
bA,Apply Arg Term
r,Apply Arg Term
u,Apply Arg Term
u0] | QName -> Maybe QName
forall a. a -> Maybe a
Just QName
q Maybe QName -> Maybe QName -> Bool
forall a. Eq a => a -> a -> Bool
== Maybe QName
mhcomp -> do
sbA <- Arg Term -> ReduceM (Blocked (Arg Term))
forall t. Reduce t => t -> ReduceM (Blocked t)
reduceB' Arg Term
bA
case unArg $ ignoreBlocking sbA of
Def QName
g Elims
es | Just [Arg Term
la', Arg Term
lb', Arg Term
bA', Arg Term
phi', Arg Term
bT', Arg Term
e'] <- Elims -> Maybe [Arg Term]
forall a. [Elim' a] -> Maybe [Arg a]
allApplyElims Elims
es, QName -> Maybe QName
forall a. a -> Maybe a
Just QName
g Maybe QName -> Maybe QName -> Bool
forall a. Eq a => a -> a -> Bool
== Maybe QName
mGlue -> do
Term -> ReduceM (Reduced MaybeReducedArgs Term)
forall a a'. a -> ReduceM (Reduced a' a)
redReturn (Term -> ReduceM (Reduced MaybeReducedArgs Term))
-> (Maybe Term -> Term)
-> Maybe Term
-> ReduceM (Reduced MaybeReducedArgs Term)
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Term -> Maybe Term -> Term
forall a. a -> Maybe a -> a
fromMaybe Term
forall a. HasCallStack => a
__IMPOSSIBLE__ (Maybe Term -> ReduceM (Reduced MaybeReducedArgs Term))
-> ReduceM (Maybe Term) -> ReduceM (Reduced MaybeReducedArgs Term)
forall (m :: * -> *) a b. Monad m => (a -> m b) -> m a -> m b
=<<
KanOperation
-> FamilyOrNot
(Arg Term, Arg Term, Arg Term, Arg Term, Arg Term, Arg Term)
-> TermPosition
-> ReduceM (Maybe Term)
forall (m :: * -> *).
PureTCM m =>
KanOperation
-> FamilyOrNot
(Arg Term, Arg Term, Arg Term, Arg Term, Arg Term, Arg Term)
-> TermPosition
-> m (Maybe Term)
doGlueKanOp (Blocked (Arg Term) -> Arg Term -> Arg Term -> KanOperation
HCompOp (Arg Term -> Blocked (Arg Term)
forall a t. a -> Blocked' t a
notBlocked Arg Term
r) Arg Term
u Arg Term
u0) ((Arg Term, Arg Term, Arg Term, Arg Term, Arg Term, Arg Term)
-> FamilyOrNot
(Arg Term, Arg Term, Arg Term, Arg Term, Arg Term, Arg Term)
forall a. a -> FamilyOrNot a
IsNot (Arg Term
la',Arg Term
lb',Arg Term
bA',Arg Term
phi',Arg Term
bT',Arg Term
e')) TermPosition
Eliminated
Term
_ -> Blocked (Arg Term) -> ReduceM (Reduced MaybeReducedArgs Term)
fallback Blocked (Arg Term)
sbA
Term
_ -> Reduced MaybeReducedArgs Term
-> ReduceM (Reduced MaybeReducedArgs Term)
forall a. a -> ReduceM a
forall (m :: * -> *) a. Monad m => a -> m a
return (MaybeReducedArgs -> Reduced MaybeReducedArgs Term
forall no yes. no -> Reduced no yes
NoReduction (MaybeReducedArgs -> Reduced MaybeReducedArgs Term)
-> MaybeReducedArgs -> Reduced MaybeReducedArgs Term
forall a b. (a -> b) -> a -> b
$ (Arg Term -> MaybeReduced (Arg Term))
-> [Arg Term] -> MaybeReducedArgs
forall a b. (a -> b) -> [a] -> [b]
map Arg Term -> MaybeReduced (Arg Term)
forall a. a -> MaybeReduced a
notReduced [Arg Term
la,Arg Term
lb,Arg Term
bA] MaybeReducedArgs -> MaybeReducedArgs -> MaybeReducedArgs
forall a. [a] -> [a] -> [a]
++ [Blocked (Arg Term) -> MaybeReduced (Arg Term)
reduced Blocked (Arg Term)
sphi] MaybeReducedArgs -> MaybeReducedArgs -> MaybeReducedArgs
forall a. [a] -> [a] -> [a]
++ (Arg Term -> MaybeReduced (Arg Term))
-> [Arg Term] -> MaybeReducedArgs
forall a b. (a -> b) -> [a] -> [b]
map Arg Term -> MaybeReduced (Arg Term)
forall a. a -> MaybeReduced a
notReduced [Arg Term
bT,Arg Term
e] MaybeReducedArgs -> MaybeReducedArgs -> MaybeReducedArgs
forall a. [a] -> [a] -> [a]
++ [Blocked (Arg Term) -> MaybeReduced (Arg Term)
reduced Blocked (Arg Term)
sb])
[Arg Term]
_ -> ReduceM (Reduced MaybeReducedArgs Term)
forall a. HasCallStack => a
__IMPOSSIBLE__