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File "./output/bug_19047.v", line 11, characters 2-135:
The command has indeed failed with message:
Recursive definition of F is ill-formed.
In environment
coacc_rect :
forall (A : Type) (R : A -> A -> Prop) (P : A -> Type),
(forall x : A,
(forall y : A, R x y -> coAcc R y) -> (forall y : A, R x y -> P y) -> P x) ->
forall x : A, coAcc R x -> P x
A : Type
R : A -> A -> Prop
P : A -> Type
f :
forall x : A,
(forall y : A, R x y -> coAcc R y) -> (forall y : A, R x y -> P y) -> P x
F : forall x : A, coAcc R x -> P x
x : R
a : coAcc P x
The codomain is "f x"
which should be a coinductive type.
Recursive definition is:
"fun (x : A) (a : coAcc R x) =>
match a with
| coAcc_intro _ _ g => f x g (fun (y : A) (r : R x y) => F y (g y r))
end".
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