Chain.hascasl.output revision 98b443335df9c77328edb9dbf3ed565535317249
class Cpo
var a : -Cpo
fun __<=__ : Pred (a * a)
type Nat
ops 1 : Nat;
__+__ : Nat * Nat -> Nat
type Chain a =
{s : Nat ->? a . forall n : Nat . def s n => s n <= s (n + 1)}
var a : Cpo
fun sup : Chain a ->? a
vars x : ? a; c : Chain a
. sup c <= x <=> forall n : Nat . c n <= x;
class
Cpo : Type
types
Chain : Cpo -> Type;
Nat : Type;
gn_t28 : -Type -> +Type -> Type
type
gn_t28 < __->?__
type
Chain := gn_t28 Nat
var
a : Cpo %(var_29)%
op 1 : Nat %(op)%
op __+__ : Nat * Nat -> Nat %(op)%
op __<=__ : forall a : -Cpo . Pred (a * a) %(fun)%
op sup : forall a : Cpo . Chain a ->? a %(fun)%
vars
c : Chain a;
x : ? a
forall a : Cpo; c : Chain a; x : ? a
. sup c <= x <=> forall n : Nat . c n <= x
### Hint 2.8, is type variable 'a'
### Hint 6.15, rebound type variable 'a'
### Hint 7.35, not a class 'Nat'
### Hint 7.27-7.49, constrain 'a : Cpo' is unprovable
*** Error 7.27-7.49,
in term 'forall n : Nat
. def (var s : Nat ->? a) (var n : Nat)
=> (fun __<=__ : forall a : -Cpo . Pred (a * a))
((var s : Nat ->? a) (var n : Nat),
(var s : Nat ->? a)
((op __+__ : Nat * Nat -> Nat) ((var n : Nat), (op 1 : Nat))))' of type 'Unit'
unresolved constraints
'{a : Cpo}'
### Hint 8.8, is type variable 'a'
### Hint 8.8, rebound type variable 'a'
### Hint 10.9, not a kind '? a'
### Hint 10.16, not a kind 'Chain a'
### Hint 11.26, not a class 'Nat'