compdata-0.7.0.2: Compositional Data Types

Copyright (c) 2011 Patrick Bahr, Tom Hvitved BSD3 Tom Hvitved experimental non-portable (GHC Extensions) None Haskell98

Data.Comp.MultiParam.Sum

Description

This module provides the infrastructure to extend signatures.

Synopsis

# Documentation

class sub :<: sup where Source

Signature containment relation for automatic injections. The left-hand must be an atomic signature, where as the right-hand side must have a list-like structure. Examples include `f :<: f :+: g` and `g :<: f :+: (g :+: h)`, non-examples include `f :+: g :<: f :+: (g :+: h)` and `f :<: (f :+: g) :+: h`.

Methods

inj :: sub a b :-> sup a b Source

proj :: NatM Maybe (sup a b) (sub a b) Source

Instances

 f :<: f (:<:) f g => f :<: ((:+:) h g) f :<: ((:+:) f g)

data (f :+: g) a b i infixr 6 Source

Formal sum of signatures (difunctors).

Instances

 (:<:) f g => f :<: ((:+:) h g) f :<: ((:+:) f g) (HDifunctor f, HDifunctor g) => HDifunctor ((:+:) f g) (HDitraversable f, HDitraversable g) => HDitraversable ((:+:) f g) (ShowHD f, ShowHD g) => ShowHD ((:+:) f g) (EqHD f, EqHD g) => EqHD ((:+:) f g) `EqHD` is propagated through sums. (OrdHD f, OrdHD g) => OrdHD ((:+:) f g) `OrdHD` is propagated through sums. (Desugar f h, Desugar g h) => Desugar ((:+:) f g) h DistAnn s p s' => DistAnn ((:+:) f s) p ((:+:) ((:&:) f p) s') RemA s s' => RemA ((:+:) ((:&:) f p) s) ((:+:) f s') (Eq (f a b i), Eq (g a b i)) => Eq ((:+:) f g a b i) (Ord (f a b i), Ord (g a b i)) => Ord ((:+:) f g a b i) (Show (f a b i), Show (g a b i)) => Show ((:+:) f g a b i)

caseHD :: (f a b i -> c) -> (g a b i -> c) -> (f :+: g) a b i -> c Source

Utility function to case on a higher-order difunctor sum, without exposing the internal representation of sums.

# Projections for Signatures and Terms

proj2 :: forall f a b i g1 g2. ((:<:) g1 f, (:<:) g2 f) => f a b i -> Maybe ((:+:) g2 g1 a b i) Source

proj3 :: forall f a b i g1 g2 g3. ((:<:) g1 f, (:<:) g2 f, (:<:) g3 f) => f a b i -> Maybe ((:+:) g3 ((:+:) g2 g1) a b i) Source

proj4 :: forall f a b i g1 g2 g3 g4. ((:<:) g1 f, (:<:) g2 f, (:<:) g3 f, (:<:) g4 f) => f a b i -> Maybe ((:+:) g4 ((:+:) g3 ((:+:) g2 g1)) a b i) Source

proj5 :: forall f a b i g1 g2 g3 g4 g5. ((:<:) g1 f, (:<:) g2 f, (:<:) g3 f, (:<:) g4 f, (:<:) g5 f) => f a b i -> Maybe ((:+:) g5 ((:+:) g4 ((:+:) g3 ((:+:) g2 g1))) a b i) Source

proj6 :: forall f a b i g1 g2 g3 g4 g5 g6. ((:<:) g1 f, (:<:) g2 f, (:<:) g3 f, (:<:) g4 f, (:<:) g5 f, (:<:) g6 f) => f a b i -> Maybe ((:+:) g6 ((:+:) g5 ((:+:) g4 ((:+:) g3 ((:+:) g2 g1)))) a b i) Source

proj7 :: forall f a b i g1 g2 g3 g4 g5 g6 g7. ((:<:) g1 f, (:<:) g2 f, (:<:) g3 f, (:<:) g4 f, (:<:) g5 f, (:<:) g6 f, (:<:) g7 f) => f a b i -> Maybe ((:+:) g7 ((:+:) g6 ((:+:) g5 ((:+:) g4 ((:+:) g3 ((:+:) g2 g1))))) a b i) Source

proj8 :: forall f a b i g1 g2 g3 g4 g5 g6 g7 g8. ((:<:) g1 f, (:<:) g2 f, (:<:) g3 f, (:<:) g4 f, (:<:) g5 f, (:<:) g6 f, (:<:) g7 f, (:<:) g8 f) => f a b i -> Maybe ((:+:) g8 ((:+:) g7 ((:+:) g6 ((:+:) g5 ((:+:) g4 ((:+:) g3 ((:+:) g2 g1)))))) a b i) Source

proj9 :: forall f a b i g1 g2 g3 g4 g5 g6 g7 g8 g9. ((:<:) g1 f, (:<:) g2 f, (:<:) g3 f, (:<:) g4 f, (:<:) g5 f, (:<:) g6 f, (:<:) g7 f, (:<:) g8 f, (:<:) g9 f) => f a b i -> Maybe ((:+:) g9 ((:+:) g8 ((:+:) g7 ((:+:) g6 ((:+:) g5 ((:+:) g4 ((:+:) g3 ((:+:) g2 g1))))))) a b i) Source

proj10 :: forall f a b i g1 g2 g3 g4 g5 g6 g7 g8 g9 g10. ((:<:) g1 f, (:<:) g2 f, (:<:) g3 f, (:<:) g4 f, (:<:) g5 f, (:<:) g6 f, (:<:) g7 f, (:<:) g8 f, (:<:) g9 f, (:<:) g10 f) => f a b i -> Maybe ((:+:) g10 ((:+:) g9 ((:+:) g8 ((:+:) g7 ((:+:) g6 ((:+:) g5 ((:+:) g4 ((:+:) g3 ((:+:) g2 g1)))))))) a b i) Source

project :: g :<: f => NatM Maybe (Cxt h f a b) (g a (Cxt h f a b)) Source

Project the outermost layer of a term to a sub signature. If the signature `g` is compound of n atomic signatures, use `project`n instead.

project2 :: forall h f a b i g1 g2. ((:<:) g1 f, (:<:) g2 f) => Cxt h f a b i -> Maybe ((:+:) g2 g1 a (Cxt h f a b) i) Source

project3 :: forall h f a b i g1 g2 g3. ((:<:) g1 f, (:<:) g2 f, (:<:) g3 f) => Cxt h f a b i -> Maybe ((:+:) g3 ((:+:) g2 g1) a (Cxt h f a b) i) Source

project4 :: forall h f a b i g1 g2 g3 g4. ((:<:) g1 f, (:<:) g2 f, (:<:) g3 f, (:<:) g4 f) => Cxt h f a b i -> Maybe ((:+:) g4 ((:+:) g3 ((:+:) g2 g1)) a (Cxt h f a b) i) Source

project5 :: forall h f a b i g1 g2 g3 g4 g5. ((:<:) g1 f, (:<:) g2 f, (:<:) g3 f, (:<:) g4 f, (:<:) g5 f) => Cxt h f a b i -> Maybe ((:+:) g5 ((:+:) g4 ((:+:) g3 ((:+:) g2 g1))) a (Cxt h f a b) i) Source

project6 :: forall h f a b i g1 g2 g3 g4 g5 g6. ((:<:) g1 f, (:<:) g2 f, (:<:) g3 f, (:<:) g4 f, (:<:) g5 f, (:<:) g6 f) => Cxt h f a b i -> Maybe ((:+:) g6 ((:+:) g5 ((:+:) g4 ((:+:) g3 ((:+:) g2 g1)))) a (Cxt h f a b) i) Source

project7 :: forall h f a b i g1 g2 g3 g4 g5 g6 g7. ((:<:) g1 f, (:<:) g2 f, (:<:) g3 f, (:<:) g4 f, (:<:) g5 f, (:<:) g6 f, (:<:) g7 f) => Cxt h f a b i -> Maybe ((:+:) g7 ((:+:) g6 ((:+:) g5 ((:+:) g4 ((:+:) g3 ((:+:) g2 g1))))) a (Cxt h f a b) i) Source

project8 :: forall h f a b i g1 g2 g3 g4 g5 g6 g7 g8. ((:<:) g1 f, (:<:) g2 f, (:<:) g3 f, (:<:) g4 f, (:<:) g5 f, (:<:) g6 f, (:<:) g7 f, (:<:) g8 f) => Cxt h f a b i -> Maybe ((:+:) g8 ((:+:) g7 ((:+:) g6 ((:+:) g5 ((:+:) g4 ((:+:) g3 ((:+:) g2 g1)))))) a (Cxt h f a b) i) Source

project9 :: forall h f a b i g1 g2 g3 g4 g5 g6 g7 g8 g9. ((:<:) g1 f, (:<:) g2 f, (:<:) g3 f, (:<:) g4 f, (:<:) g5 f, (:<:) g6 f, (:<:) g7 f, (:<:) g8 f, (:<:) g9 f) => Cxt h f a b i -> Maybe ((:+:) g9 ((:+:) g8 ((:+:) g7 ((:+:) g6 ((:+:) g5 ((:+:) g4 ((:+:) g3 ((:+:) g2 g1))))))) a (Cxt h f a b) i) Source

project10 :: forall h f a b i g1 g2 g3 g4 g5 g6 g7 g8 g9 g10. ((:<:) g1 f, (:<:) g2 f, (:<:) g3 f, (:<:) g4 f, (:<:) g5 f, (:<:) g6 f, (:<:) g7 f, (:<:) g8 f, (:<:) g9 f, (:<:) g10 f) => Cxt h f a b i -> Maybe ((:+:) g10 ((:+:) g9 ((:+:) g8 ((:+:) g7 ((:+:) g6 ((:+:) g5 ((:+:) g4 ((:+:) g3 ((:+:) g2 g1)))))))) a (Cxt h f a b) i) Source

deepProject :: (HDitraversable g, g :<: f) => Term f i -> Maybe (Term g i) Source

Tries to coerce a termcontext to a termcontext over a sub-signature. If the signature `g` is compound of n atomic signatures, use `deepProject`n instead.

deepProject2 :: forall f i g1 g2. (HDitraversable ((:+:) g2 g1), (:<:) g1 f, (:<:) g2 f) => Term f i -> Maybe (Term ((:+:) g2 g1) i) Source

deepProject3 :: forall f i g1 g2 g3. (HDitraversable ((:+:) g3 ((:+:) g2 g1)), (:<:) g1 f, (:<:) g2 f, (:<:) g3 f) => Term f i -> Maybe (Term ((:+:) g3 ((:+:) g2 g1)) i) Source

deepProject4 :: forall f i g1 g2 g3 g4. (HDitraversable ((:+:) g4 ((:+:) g3 ((:+:) g2 g1))), (:<:) g1 f, (:<:) g2 f, (:<:) g3 f, (:<:) g4 f) => Term f i -> Maybe (Term ((:+:) g4 ((:+:) g3 ((:+:) g2 g1))) i) Source

deepProject5 :: forall f i g1 g2 g3 g4 g5. (HDitraversable ((:+:) g5 ((:+:) g4 ((:+:) g3 ((:+:) g2 g1)))), (:<:) g1 f, (:<:) g2 f, (:<:) g3 f, (:<:) g4 f, (:<:) g5 f) => Term f i -> Maybe (Term ((:+:) g5 ((:+:) g4 ((:+:) g3 ((:+:) g2 g1)))) i) Source

deepProject6 :: forall f i g1 g2 g3 g4 g5 g6. (HDitraversable ((:+:) g6 ((:+:) g5 ((:+:) g4 ((:+:) g3 ((:+:) g2 g1))))), (:<:) g1 f, (:<:) g2 f, (:<:) g3 f, (:<:) g4 f, (:<:) g5 f, (:<:) g6 f) => Term f i -> Maybe (Term ((:+:) g6 ((:+:) g5 ((:+:) g4 ((:+:) g3 ((:+:) g2 g1))))) i) Source

deepProject7 :: forall f i g1 g2 g3 g4 g5 g6 g7. (HDitraversable ((:+:) g7 ((:+:) g6 ((:+:) g5 ((:+:) g4 ((:+:) g3 ((:+:) g2 g1)))))), (:<:) g1 f, (:<:) g2 f, (:<:) g3 f, (:<:) g4 f, (:<:) g5 f, (:<:) g6 f, (:<:) g7 f) => Term f i -> Maybe (Term ((:+:) g7 ((:+:) g6 ((:+:) g5 ((:+:) g4 ((:+:) g3 ((:+:) g2 g1)))))) i) Source

deepProject8 :: forall f i g1 g2 g3 g4 g5 g6 g7 g8. (HDitraversable ((:+:) g8 ((:+:) g7 ((:+:) g6 ((:+:) g5 ((:+:) g4 ((:+:) g3 ((:+:) g2 g1))))))), (:<:) g1 f, (:<:) g2 f, (:<:) g3 f, (:<:) g4 f, (:<:) g5 f, (:<:) g6 f, (:<:) g7 f, (:<:) g8 f) => Term f i -> Maybe (Term ((:+:) g8 ((:+:) g7 ((:+:) g6 ((:+:) g5 ((:+:) g4 ((:+:) g3 ((:+:) g2 g1))))))) i) Source

deepProject9 :: forall f i g1 g2 g3 g4 g5 g6 g7 g8 g9. (HDitraversable ((:+:) g9 ((:+:) g8 ((:+:) g7 ((:+:) g6 ((:+:) g5 ((:+:) g4 ((:+:) g3 ((:+:) g2 g1)))))))), (:<:) g1 f, (:<:) g2 f, (:<:) g3 f, (:<:) g4 f, (:<:) g5 f, (:<:) g6 f, (:<:) g7 f, (:<:) g8 f, (:<:) g9 f) => Term f i -> Maybe (Term ((:+:) g9 ((:+:) g8 ((:+:) g7 ((:+:) g6 ((:+:) g5 ((:+:) g4 ((:+:) g3 ((:+:) g2 g1)))))))) i) Source

deepProject10 :: forall f i g1 g2 g3 g4 g5 g6 g7 g8 g9 g10. (HDitraversable ((:+:) g10 ((:+:) g9 ((:+:) g8 ((:+:) g7 ((:+:) g6 ((:+:) g5 ((:+:) g4 ((:+:) g3 ((:+:) g2 g1))))))))), (:<:) g1 f, (:<:) g2 f, (:<:) g3 f, (:<:) g4 f, (:<:) g5 f, (:<:) g6 f, (:<:) g7 f, (:<:) g8 f, (:<:) g9 f, (:<:) g10 f) => Term f i -> Maybe (Term ((:+:) g10 ((:+:) g9 ((:+:) g8 ((:+:) g7 ((:+:) g6 ((:+:) g5 ((:+:) g4 ((:+:) g3 ((:+:) g2 g1))))))))) i) Source

# Injections for Signatures and Terms

inj2 :: forall g a b i f1 f2. ((:<:) f1 g, (:<:) f2 g) => (:+:) f2 f1 a b i -> g a b i Source

inj3 :: forall g a b i f1 f2 f3. ((:<:) f1 g, (:<:) f2 g, (:<:) f3 g) => (:+:) f3 ((:+:) f2 f1) a b i -> g a b i Source

inj4 :: forall g a b i f1 f2 f3 f4. ((:<:) f1 g, (:<:) f2 g, (:<:) f3 g, (:<:) f4 g) => (:+:) f4 ((:+:) f3 ((:+:) f2 f1)) a b i -> g a b i Source

inj5 :: forall g a b i f1 f2 f3 f4 f5. ((:<:) f1 g, (:<:) f2 g, (:<:) f3 g, (:<:) f4 g, (:<:) f5 g) => (:+:) f5 ((:+:) f4 ((:+:) f3 ((:+:) f2 f1))) a b i -> g a b i Source

inj6 :: forall g a b i f1 f2 f3 f4 f5 f6. ((:<:) f1 g, (:<:) f2 g, (:<:) f3 g, (:<:) f4 g, (:<:) f5 g, (:<:) f6 g) => (:+:) f6 ((:+:) f5 ((:+:) f4 ((:+:) f3 ((:+:) f2 f1)))) a b i -> g a b i Source

inj7 :: forall g a b i f1 f2 f3 f4 f5 f6 f7. ((:<:) f1 g, (:<:) f2 g, (:<:) f3 g, (:<:) f4 g, (:<:) f5 g, (:<:) f6 g, (:<:) f7 g) => (:+:) f7 ((:+:) f6 ((:+:) f5 ((:+:) f4 ((:+:) f3 ((:+:) f2 f1))))) a b i -> g a b i Source

inj8 :: forall g a b i f1 f2 f3 f4 f5 f6 f7 f8. ((:<:) f1 g, (:<:) f2 g, (:<:) f3 g, (:<:) f4 g, (:<:) f5 g, (:<:) f6 g, (:<:) f7 g, (:<:) f8 g) => (:+:) f8 ((:+:) f7 ((:+:) f6 ((:+:) f5 ((:+:) f4 ((:+:) f3 ((:+:) f2 f1)))))) a b i -> g a b i Source

inj9 :: forall g a b i f1 f2 f3 f4 f5 f6 f7 f8 f9. ((:<:) f1 g, (:<:) f2 g, (:<:) f3 g, (:<:) f4 g, (:<:) f5 g, (:<:) f6 g, (:<:) f7 g, (:<:) f8 g, (:<:) f9 g) => (:+:) f9 ((:+:) f8 ((:+:) f7 ((:+:) f6 ((:+:) f5 ((:+:) f4 ((:+:) f3 ((:+:) f2 f1))))))) a b i -> g a b i Source

inj10 :: forall g a b i f1 f2 f3 f4 f5 f6 f7 f8 f9 f10. ((:<:) f1 g, (:<:) f2 g, (:<:) f3 g, (:<:) f4 g, (:<:) f5 g, (:<:) f6 g, (:<:) f7 g, (:<:) f8 g, (:<:) f9 g, (:<:) f10 g) => (:+:) f10 ((:+:) f9 ((:+:) f8 ((:+:) f7 ((:+:) f6 ((:+:) f5 ((:+:) f4 ((:+:) f3 ((:+:) f2 f1)))))))) a b i -> g a b i Source

inject :: g :<: f => g a (Cxt h f a b) :-> Cxt h f a b Source

Inject a term where the outermost layer is a sub signature. If the signature `g` is compound of n atomic signatures, use `inject`n instead.

inject2 :: forall h g a b i f1 f2. ((:<:) f1 g, (:<:) f2 g) => (:+:) f2 f1 a (Cxt h g a b) i -> Cxt h g a b i Source

inject3 :: forall h g a b i f1 f2 f3. ((:<:) f1 g, (:<:) f2 g, (:<:) f3 g) => (:+:) f3 ((:+:) f2 f1) a (Cxt h g a b) i -> Cxt h g a b i Source

inject4 :: forall h g a b i f1 f2 f3 f4. ((:<:) f1 g, (:<:) f2 g, (:<:) f3 g, (:<:) f4 g) => (:+:) f4 ((:+:) f3 ((:+:) f2 f1)) a (Cxt h g a b) i -> Cxt h g a b i Source

inject5 :: forall h g a b i f1 f2 f3 f4 f5. ((:<:) f1 g, (:<:) f2 g, (:<:) f3 g, (:<:) f4 g, (:<:) f5 g) => (:+:) f5 ((:+:) f4 ((:+:) f3 ((:+:) f2 f1))) a (Cxt h g a b) i -> Cxt h g a b i Source

inject6 :: forall h g a b i f1 f2 f3 f4 f5 f6. ((:<:) f1 g, (:<:) f2 g, (:<:) f3 g, (:<:) f4 g, (:<:) f5 g, (:<:) f6 g) => (:+:) f6 ((:+:) f5 ((:+:) f4 ((:+:) f3 ((:+:) f2 f1)))) a (Cxt h g a b) i -> Cxt h g a b i Source

inject7 :: forall h g a b i f1 f2 f3 f4 f5 f6 f7. ((:<:) f1 g, (:<:) f2 g, (:<:) f3 g, (:<:) f4 g, (:<:) f5 g, (:<:) f6 g, (:<:) f7 g) => (:+:) f7 ((:+:) f6 ((:+:) f5 ((:+:) f4 ((:+:) f3 ((:+:) f2 f1))))) a (Cxt h g a b) i -> Cxt h g a b i Source

inject8 :: forall h g a b i f1 f2 f3 f4 f5 f6 f7 f8. ((:<:) f1 g, (:<:) f2 g, (:<:) f3 g, (:<:) f4 g, (:<:) f5 g, (:<:) f6 g, (:<:) f7 g, (:<:) f8 g) => (:+:) f8 ((:+:) f7 ((:+:) f6 ((:+:) f5 ((:+:) f4 ((:+:) f3 ((:+:) f2 f1)))))) a (Cxt h g a b) i -> Cxt h g a b i Source

inject9 :: forall h g a b i f1 f2 f3 f4 f5 f6 f7 f8 f9. ((:<:) f1 g, (:<:) f2 g, (:<:) f3 g, (:<:) f4 g, (:<:) f5 g, (:<:) f6 g, (:<:) f7 g, (:<:) f8 g, (:<:) f9 g) => (:+:) f9 ((:+:) f8 ((:+:) f7 ((:+:) f6 ((:+:) f5 ((:+:) f4 ((:+:) f3 ((:+:) f2 f1))))))) a (Cxt h g a b) i -> Cxt h g a b i Source

inject10 :: forall h g a b i f1 f2 f3 f4 f5 f6 f7 f8 f9 f10. ((:<:) f1 g, (:<:) f2 g, (:<:) f3 g, (:<:) f4 g, (:<:) f5 g, (:<:) f6 g, (:<:) f7 g, (:<:) f8 g, (:<:) f9 g, (:<:) f10 g) => (:+:) f10 ((:+:) f9 ((:+:) f8 ((:+:) f7 ((:+:) f6 ((:+:) f5 ((:+:) f4 ((:+:) f3 ((:+:) f2 f1)))))))) a (Cxt h g a b) i -> Cxt h g a b i Source

deepInject :: (HDifunctor g, g :<: f) => CxtFun g f Source

Inject a term over a sub signature to a term over larger signature. If the signature `g` is compound of n atomic signatures, use `deepInject`n instead.

deepInject2 :: forall g f1 f2. (HDifunctor ((:+:) f2 f1), (:<:) f1 g, (:<:) f2 g) => CxtFun ((:+:) f2 f1) g Source

deepInject3 :: forall g f1 f2 f3. (HDifunctor ((:+:) f3 ((:+:) f2 f1)), (:<:) f1 g, (:<:) f2 g, (:<:) f3 g) => CxtFun ((:+:) f3 ((:+:) f2 f1)) g Source

deepInject4 :: forall g f1 f2 f3 f4. (HDifunctor ((:+:) f4 ((:+:) f3 ((:+:) f2 f1))), (:<:) f1 g, (:<:) f2 g, (:<:) f3 g, (:<:) f4 g) => CxtFun ((:+:) f4 ((:+:) f3 ((:+:) f2 f1))) g Source

deepInject5 :: forall g f1 f2 f3 f4 f5. (HDifunctor ((:+:) f5 ((:+:) f4 ((:+:) f3 ((:+:) f2 f1)))), (:<:) f1 g, (:<:) f2 g, (:<:) f3 g, (:<:) f4 g, (:<:) f5 g) => CxtFun ((:+:) f5 ((:+:) f4 ((:+:) f3 ((:+:) f2 f1)))) g Source

deepInject6 :: forall g f1 f2 f3 f4 f5 f6. (HDifunctor ((:+:) f6 ((:+:) f5 ((:+:) f4 ((:+:) f3 ((:+:) f2 f1))))), (:<:) f1 g, (:<:) f2 g, (:<:) f3 g, (:<:) f4 g, (:<:) f5 g, (:<:) f6 g) => CxtFun ((:+:) f6 ((:+:) f5 ((:+:) f4 ((:+:) f3 ((:+:) f2 f1))))) g Source

deepInject7 :: forall g f1 f2 f3 f4 f5 f6 f7. (HDifunctor ((:+:) f7 ((:+:) f6 ((:+:) f5 ((:+:) f4 ((:+:) f3 ((:+:) f2 f1)))))), (:<:) f1 g, (:<:) f2 g, (:<:) f3 g, (:<:) f4 g, (:<:) f5 g, (:<:) f6 g, (:<:) f7 g) => CxtFun ((:+:) f7 ((:+:) f6 ((:+:) f5 ((:+:) f4 ((:+:) f3 ((:+:) f2 f1)))))) g Source

deepInject8 :: forall g f1 f2 f3 f4 f5 f6 f7 f8. (HDifunctor ((:+:) f8 ((:+:) f7 ((:+:) f6 ((:+:) f5 ((:+:) f4 ((:+:) f3 ((:+:) f2 f1))))))), (:<:) f1 g, (:<:) f2 g, (:<:) f3 g, (:<:) f4 g, (:<:) f5 g, (:<:) f6 g, (:<:) f7 g, (:<:) f8 g) => CxtFun ((:+:) f8 ((:+:) f7 ((:+:) f6 ((:+:) f5 ((:+:) f4 ((:+:) f3 ((:+:) f2 f1))))))) g Source

deepInject9 :: forall g f1 f2 f3 f4 f5 f6 f7 f8 f9. (HDifunctor ((:+:) f9 ((:+:) f8 ((:+:) f7 ((:+:) f6 ((:+:) f5 ((:+:) f4 ((:+:) f3 ((:+:) f2 f1)))))))), (:<:) f1 g, (:<:) f2 g, (:<:) f3 g, (:<:) f4 g, (:<:) f5 g, (:<:) f6 g, (:<:) f7 g, (:<:) f8 g, (:<:) f9 g) => CxtFun ((:+:) f9 ((:+:) f8 ((:+:) f7 ((:+:) f6 ((:+:) f5 ((:+:) f4 ((:+:) f3 ((:+:) f2 f1)))))))) g Source

deepInject10 :: forall g f1 f2 f3 f4 f5 f6 f7 f8 f9 f10. (HDifunctor ((:+:) f10 ((:+:) f9 ((:+:) f8 ((:+:) f7 ((:+:) f6 ((:+:) f5 ((:+:) f4 ((:+:) f3 ((:+:) f2 f1))))))))), (:<:) f1 g, (:<:) f2 g, (:<:) f3 g, (:<:) f4 g, (:<:) f5 g, (:<:) f6 g, (:<:) f7 g, (:<:) f8 g, (:<:) f9 g, (:<:) f10 g) => CxtFun ((:+:) f10 ((:+:) f9 ((:+:) f8 ((:+:) f7 ((:+:) f6 ((:+:) f5 ((:+:) f4 ((:+:) f3 ((:+:) f2 f1))))))))) g Source

injectCxt :: (HDifunctor g, g :<: f) => Cxt h g a (Cxt h f a b) :-> Cxt h f a b Source

This function injects a whole context into another context.

liftCxt :: (HDifunctor f, g :<: f) => g a b :-> Cxt Hole f a b Source

This function lifts the given functor to a context.