var S : Type; N : Type; E : Type

type Set : Type -> Type := \ S : Type . S ->? Unit

type Graph : Type -> Type -> Type := \ (N : Type)(E : Type) . Set N

* (E ->? N) * (E ->? N)

op __union__ : Graph N E * Graph N E -> Graph N E;

__union__, __intersection__, __\\__ : Set S * Set S -> Set S

forall g : Graph N E; g' : Graph N E

. ((fun __=__[(N ->? Unit) * (E ->? N) * (E ->? N)]

: forall a : Type . a * a ->? Unit) :

((N ->? Unit) * (E ->? N) * (E ->? N)) *

((N ->? Unit) * (E ->? N) * (E ->? N))

->? Unit)

(((op __union__[N; E]

: forall N : Type; E : Type . Graph N E * Graph N E -> Graph N E) :

Graph N E * Graph N E -> Graph N E)

(var g : Graph N E, var g' : Graph N E) :

Graph N E,

var g : Graph N E) :

Unit

%% Type Constructors -----------------------------------------------------

? : +Type -> Type

Graph

: Type -> Type -> Type

:= \ (N : Type)(E : Type) . Set N * (E ->? N) * (E ->? N)

Logical : Type := ? Unit

Pred : -Type -> Type := \ a : -Type . a ->? Unit

Set : Type -> Type := \ S : Type . S ->? Unit

Unit : Type

__*__ : +Type -> +Type -> Type

__*__*__ : +Type -> +Type -> +Type -> Type

__*__*__*__ : +Type -> +Type -> +Type -> +Type -> Type

__*__*__*__*__ : +Type -> +Type -> +Type -> +Type -> +Type -> Type

__-->__ : -Type -> +Type -> Type < (__-->?__, __->__)

__-->?__ : -Type -> +Type -> Type < __->?__

__->__ : -Type -> +Type -> Type < __->?__

__->?__ : -Type -> +Type -> Type

%% Type Variables --------------------------------------------------------

E : Type %(var_3)%

N : Type %(var_2)%

S : Type %(var_1)%

%% Assumptions -----------------------------------------------------------

__/\__ : ? Unit * ? Unit ->? Unit %(fun)%

__<=>__ : ? Unit * ? Unit ->? Unit %(fun)%

__=__ : forall a : Type . a * a ->? Unit %(fun)%

__=>__ : ? Unit * ? Unit ->? Unit %(fun)%

__=e=__ : forall a : Type . a * a ->? Unit %(fun)%

__\/__ : ? Unit * ? Unit ->? Unit %(fun)%

__\\__ : forall S : Type . Set S * Set S -> Set S %(op)%

__if__ : ? Unit * ? Unit ->? Unit %(fun)%

__intersection__ : forall S : Type . Set S * Set S -> Set S %(op)%

__union__

: forall S : Type . Set S * Set S -> Set S %(op)%

: forall N : Type; E : Type . Graph N E * Graph N E -> Graph N E

%(op)%

__when__else__ : forall a : Type . a * ? Unit * a ->? a %(fun)%

bottom : forall a : Type . a %(fun)%

def__ : forall a : Type . a ->? Unit %(fun)%

false : Unit %(fun)%

not__ : ? Unit ->? Unit %(fun)%

true : Unit %(fun)%

�__ : ? Unit ->? Unit %(fun)%

%% Variables -------------------------------------------------------------

g : Graph N E

g' : Graph N E

%% Sentences -------------------------------------------------------------

(__=__ :

((N ->? Unit) * (E ->? N) * (E ->? N)) *

((N ->? Unit) * (E ->? N) * (E ->? N))

->? Unit)

(((op __union__[N; E]

: forall N : Type; E : Type . Graph N E * Graph N E -> Graph N E) :

Graph N E * Graph N E -> Graph N E)

(g, g') :

Graph N E,

g) :

Unit

%% Diagnostics -----------------------------------------------------------

*** Hint 1.7, is type variable 'S'

*** Hint 1.9, is type variable 'N'

*** Hint 1.11, is type variable 'E'

*** Hint 2.12, rebound type variable 'S'

*** Hint 3.14, rebound type variable 'N'

*** Hint 3.16, rebound type variable 'E'

*** Hint 8.11, not a kind 'Graph N E'

*** Hint 8.15, not a kind 'Graph N E'

*** Hint, in type of '(var g : Graph N E, var g' : Graph N E)'

typename '__->?__'

is not unifiable with type '__*__*__ (Set N)' (8.23)