make Elim.compare0 able to pass a type to isSubSing
it now recovers from (most) errors and always returns a type, so that isSubSing doesn't have to recalculate it it already assumed the inputs had the same type. now it just leans on that assumption harder
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2 changed files with 114 additions and 81 deletions
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@ -52,6 +52,7 @@ public export
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data Length : List a -> Type where
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Z : Length []
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S : Length xs -> Length (x :: xs)
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%builtin Natural Length
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export
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subsetWith : Length xs => (forall z. Has z xs -> Has z ys) ->
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@ -64,20 +65,28 @@ subsetSelf : Length xs => Subset xs xs
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subsetSelf = subsetWith id
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export
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subsetTail : Length xs => Subset xs (x :: xs)
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subsetTail = subsetWith S
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subsetTail : Length xs => (0 x : a) -> Subset xs (x :: xs)
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subsetTail _ = subsetWith S
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-- [fixme] allow the error to be anywhere in the effect list
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export
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wrapErrAt : Length fs => (0 lbl : tag) -> (e -> e') ->
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Eff (ExceptL lbl e :: fs) a -> Eff (ExceptL lbl e' :: fs) a
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wrapErrAt lbl f act =
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rethrowAt lbl . mapFst f =<< lift @{subsetTail} (runExceptAt lbl act)
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catchMaybeAt : (0 lbl : tag) -> (Has (ExceptL lbl e) fs, Length fs) =>
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(e -> Eff fs a) -> Eff fs a -> Eff fs a
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catchMaybeAt lbl hnd act =
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catchAt lbl hnd $ lift @{subsetTail $ ExceptL lbl e} act
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export %inline
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wrapErr : Length fs => (e -> e') ->
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Eff (Except e :: fs) a -> Eff (Except e' :: fs) a
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catchMaybe : (Has (Except e) fs, Length fs) =>
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(e -> Eff fs a) -> Eff fs a -> Eff fs a
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catchMaybe = catchMaybeAt ()
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export
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wrapErrAt : (0 lbl : tag) -> (Has (ExceptL lbl e) fs, Length fs) =>
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(e -> e) -> Eff fs a -> Eff fs a
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wrapErrAt lbl wrap = catchMaybeAt lbl (\ex => throwAt lbl $ wrap ex)
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export %inline
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wrapErr : (Has (Except e) fs, Length fs) => (e -> e) -> Eff fs a -> Eff fs a
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wrapErr = wrapErrAt ()
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@ -363,38 +363,49 @@ parameters (defs : Definitions)
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||| equal types.** ⚠
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export covering %inline
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compare0 : EqContext n -> (e, f : Elim 0 n) -> Eff EqualInner (Term 0 n)
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compare0 ctx e f =
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compare0 ctx e f = do
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(err, ty) <- compare0Inner ctx e f
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maybe (pure ty) throw err
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private covering
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compare0Inner : EqContext n -> (e, f : Elim 0 n) ->
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Eff EqualInner (Maybe Error, Term 0 n)
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compare0Inner ctx e f =
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wrapErr (WhileComparingE ctx !mode e f) $ do
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let Val n = ctx.termLen
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Element e' ne <- whnf defs ctx e.loc e
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Element f' nf <- whnf defs ctx f.loc f
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-- [todo] share the work of this computeElimTypeE and the return value
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-- of compare0' somehow?????
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ty <- computeElimTypeE defs ctx e'
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Element e ne <- whnf defs ctx e.loc e
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Element f nf <- whnf defs ctx f.loc f
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(err, ty) <- compare0' ctx e f ne nf
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if !(isSubSing defs ctx ty)
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then pure ty
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else compare0' ctx e' f' ne nf
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then pure (Nothing, ty)
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else pure (err, ty)
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private
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try_ : Eff EqualInner () -> Eff EqualInner (Maybe Error)
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try_ act = lift $ catch (pure . Just) $ act $> Nothing
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private
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lookupFree : EqContext n -> Name -> Universe -> Loc ->
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Eff EqualInner (Term 0 n)
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lookupFree ctx x u loc =
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let Val n = ctx.termLen in
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maybe (throw $ NotInScope loc x) (\d => pure $ d.typeAt u) $
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lookup x defs
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private covering
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compare0' : EqContext n ->
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(e, f : Elim 0 n) ->
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(0 ne : NotRedex defs e) -> (0 nf : NotRedex defs f) ->
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Eff EqualInner (Term 0 n)
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Eff EqualInner (Maybe Error, Term 0 n)
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compare0' ctx e@(F x u loc) f@(F y v _) _ _ =
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if x == y && u == v
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then do let Val n = ctx.termLen
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let Just def = lookup x defs
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| Nothing => throw $ NotInScope loc x
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pure def.type
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else clashE e.loc ctx e f
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compare0' ctx e@(F x u loc) f@(F y v _) _ _ = do
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pure (guard (x /= y || u /= v) $> ClashE loc ctx !mode e f,
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!(lookupFree ctx x u loc))
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compare0' ctx e@(F {}) f _ _ = clashE e.loc ctx e f
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compare0' ctx e@(B i _) f@(B j _) _ _ =
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if i == j
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then pure $ ctx.tctx !! i
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else clashE e.loc ctx e f
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compare0' ctx e@(B i loc) f@(B j _) _ _ =
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pure (guard (i /= j) $> ClashE loc ctx !mode e f,
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ctx.tctx !! i)
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compare0' ctx e@(B {}) f _ _ = clashE e.loc ctx e f
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-- Ψ | Γ ⊢ e = f ⇒ π.(x : A) → B
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@ -403,10 +414,10 @@ parameters (defs : Definitions)
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-- Ψ | Γ ⊢ e s = f t ⇒ B[s∷A/x]
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compare0' ctx (App e s eloc) (App f t floc) ne nf =
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local_ Equal $ do
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ety <- compare0 ctx e f
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(err1, ety) <- compare0Inner ctx e f
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(_, arg, res) <- expectPi defs ctx eloc ety
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Term.compare0 ctx arg s t
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pure $ sub1 res (Ann s arg s.loc)
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err2 <- try_ $ Term.compare0 ctx arg s t
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pure (err1 <|> err2, sub1 res $ Ann s arg s.loc)
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compare0' ctx e@(App {}) f _ _ = clashE e.loc ctx e f
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-- Ψ | Γ ⊢ e = f ⇒ (x : A) × B
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@ -418,15 +429,16 @@ parameters (defs : Definitions)
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compare0' ctx (CasePair epi e eret ebody eloc)
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(CasePair fpi f fret fbody {}) ne nf =
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local_ Equal $ do
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ety <- compare0 ctx e f
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(err1, ety) <- compare0Inner ctx e f
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compareType (extendTy Zero eret.name ety ctx) eret.term fret.term
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(fst, snd) <- expectSig defs ctx eloc ety
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let [< x, y] = ebody.names
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err2 <- try_ $
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Term.compare0 (extendTyN [< (epi, x, fst), (epi, y, snd.term)] ctx)
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(substCasePairRet ebody.names ety eret)
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ebody.term fbody.term
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expectEqualQ e.loc epi fpi
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pure $ sub1 eret e
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err3 <- try_ $ expectEqualQ e.loc epi fpi
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pure (concat [err1, err2, err3], sub1 eret e)
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compare0' ctx e@(CasePair {}) f _ _ = clashE e.loc ctx e f
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-- Ψ | Γ ⊢ e = f ⇒ {𝐚s}
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@ -438,14 +450,17 @@ parameters (defs : Definitions)
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compare0' ctx (CaseEnum epi e eret earms eloc)
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(CaseEnum fpi f fret farms floc) ne nf =
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local_ Equal $ do
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ety <- compare0 ctx e f
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(err1, ety) <- compare0Inner ctx e f
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err2 <- try_ $
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compareType (extendTy Zero eret.name ety ctx) eret.term fret.term
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for_ !(expectEnum defs ctx eloc ety) $ \t => do
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cases <- SortedSet.toList <$> expectEnum defs ctx eloc ety
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exs <- for cases $ \t => do
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l <- lookupArm eloc t earms
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r <- lookupArm floc t farms
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compare0 ctx (sub1 eret $ Ann (Tag t l.loc) ety l.loc) l r
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expectEqualQ eloc epi fpi
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pure $ sub1 eret e
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try_ $
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Term.compare0 ctx (sub1 eret $ Ann (Tag t l.loc) ety l.loc) l r
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err3 <- try_ $ expectEqualQ eloc epi fpi
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pure (concat $ [err1, err2, err3] ++ exs, sub1 eret e)
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where
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lookupArm : Loc -> TagVal -> CaseEnumArms d n ->
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Eff EqualInner (Term d n)
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@ -465,18 +480,21 @@ parameters (defs : Definitions)
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compare0' ctx (CaseNat epi epi' e eret ezer esuc eloc)
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(CaseNat fpi fpi' f fret fzer fsuc floc) ne nf =
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local_ Equal $ do
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ety <- compare0 ctx e f
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(err1, ety) <- compare0Inner ctx e f
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err2 <- try_ $
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compareType (extendTy Zero eret.name ety ctx) eret.term fret.term
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compare0 ctx
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err3 <- try_ $
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Term.compare0 ctx
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(sub1 eret (Ann (Zero ezer.loc) (Nat ezer.loc) ezer.loc))
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ezer fzer
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let [< p, ih] = esuc.names
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compare0
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err4 <- try_ $
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Term.compare0
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(extendTyN [< (epi, p, Nat p.loc), (epi', ih, eret.term)] ctx)
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(substCaseSuccRet esuc.names eret) esuc.term fsuc.term
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expectEqualQ e.loc epi fpi
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expectEqualQ e.loc epi' fpi'
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pure $ sub1 eret e
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err5 <- try_ $ expectEqualQ e.loc epi fpi
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err6 <- try_ $ expectEqualQ e.loc epi' fpi'
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pure (concat [err1, err2, err3, err4, err5, err6], sub1 eret e)
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compare0' ctx e@(CaseNat {}) f _ _ = clashE e.loc ctx e f
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-- Ψ | Γ ⊢ e = f ⇒ [ρ. A]
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@ -488,14 +506,16 @@ parameters (defs : Definitions)
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compare0' ctx (CaseBox epi e eret ebody eloc)
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(CaseBox fpi f fret fbody floc) ne nf =
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local_ Equal $ do
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ety <- compare0 ctx e f
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(err1, ety) <- compare0Inner ctx e f
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err2 <- try_ $
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compareType (extendTy Zero eret.name ety ctx) eret.term fret.term
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(q, ty) <- expectBOX defs ctx eloc ety
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compare0 (extendTy (epi * q) ebody.name ty ctx)
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err3 <- try_ $
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Term.compare0 (extendTy (epi * q) ebody.name ty ctx)
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(substCaseBoxRet ebody.name ety eret)
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ebody.term fbody.term
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expectEqualQ eloc epi fpi
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pure $ sub1 eret e
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err4 <- try_ $ expectEqualQ eloc epi fpi
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pure (concat [err1, err2, err3, err4], sub1 eret e)
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compare0' ctx e@(CaseBox {}) f _ _ = clashE e.loc ctx e f
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-- all dim apps replaced with ends by whnf
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@ -509,8 +529,8 @@ parameters (defs : Definitions)
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-- and similar for :> and A
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compare0' ctx (Ann s a _) (Ann t b _) _ _ = do
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ty <- bigger a b
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Term.compare0 ctx ty s t
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pure ty
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err <- try_ $ Term.compare0 ctx ty s t
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pure (err, ty)
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-- Ψ | Γ ⊢ A‹p₁/𝑖› <: B‹p₂/𝑖›
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-- Ψ | Γ ⊢ A‹q₁/𝑖› <: B‹q₂/𝑖›
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@ -522,11 +542,11 @@ parameters (defs : Definitions)
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(Coe ty2 p2 q2 val2 _) ne nf = do
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let ty1p = dsub1 ty1 p1; ty2p = dsub1 ty2 p2
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ty1q = dsub1 ty1 q1; ty2q = dsub1 ty2 q2
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compareType ctx ty1p ty2p
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compareType ctx ty1q ty2q
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err1 <- try_ $ compareType ctx ty1p ty2p
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err2 <- try_ $ compareType ctx ty1q ty2q
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(ty_p, ty_q) <- bigger (ty1p, ty1q) (ty2p, ty2q)
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Term.compare0 ctx ty_p val1 val2
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pure ty_q
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err3 <- try_ $ Term.compare0 ctx ty_p val1 val2
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pure (concat [err1, err2, err3], ty_q)
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compare0' ctx e@(Coe {}) f _ _ = clashE e.loc ctx e f
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-- (no neutral compositions in a closed dctx)
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compare0' ctx (TypeCase ty1 ret1 arms1 def1 eloc)
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(TypeCase ty2 ret2 arms2 def2 floc) ne _ =
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local_ Equal $ do
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ety <- compare0 ctx ty1 ty2
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-- try
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(err1, ety) <- compare0Inner ctx ty1 ty2
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u <- expectTYPE defs ctx eloc ety
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compareType ctx ret1 ret2
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compareType ctx def1 def2
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for_ allKinds $ \k =>
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err2 <- try_ $ compareType ctx ret1 ret2
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err3 <- try_ $ compareType ctx def1 def2
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exs <- for allKinds $ \k =>
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try_ $
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compareArm ctx k ret1 u
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(lookupPrecise k arms1) (lookupPrecise k arms2) def1
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pure ret1
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pure (concat $ [err1, err2, err3] ++ exs, ret1)
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compare0' ctx e@(TypeCase {}) f _ _ = clashE e.loc ctx e f
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-- Ψ | Γ ⊢ s <: f ⇐ A
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-- Ψ | Γ ⊢ (s ∷ A) <: f ⇒ A
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--
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-- and vice versa
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compare0' ctx (Ann s a _) f _ _ =
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Term.compare0 ctx a s (E f) $> a
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compare0' ctx e (Ann t b _) _ _ =
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Term.compare0 ctx b (E e) t $> b
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compare0' ctx (Ann s a _) f _ _ = do
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err <- try_ $ Term.compare0 ctx a s (E f)
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pure (err, a)
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compare0' ctx e (Ann t b _) _ _ = do
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err <- try_ $ Term.compare0 ctx b (E e) t
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pure (err, b)
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compare0' ctx e@(Ann {}) f _ _ =
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clashE e.loc ctx e f
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