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[vincent rahli <vincent.rahli AT gmail.com>]

Hi,

We're trying to use the HoTT branch of Coq (downloaded today) in order to get
universe polymorphism.

Unfortunately we keep on running into this error [Error: Universe inconsistency],

which is the very error we were trying to avoid by using the HoTT branch of Coq.

One of our problems is that [try] does not catch this error (see the code below).

  - Why doesn't [try] catch that error?

  - Why do we get a universe inconsistency error here and not
    [Error: Unable to unify.] (without the [try])?

Thanks.

Vincent & Abhishek.

-----------------------------------------------------------------------------------------

Require Export Coq.Lists.List.

Polymorphic Fixpoint LIn (A : Type) (a:A) (l:list A) : Type :=
  match l with
    | nil => False
    | b :: m => (b = a) + LIn A a m
  end.

Polymorphic Inductive NTerm : Type :=
| cterm : NTerm
| oterm : list NTerm -> NTerm.

Polymorphic Fixpoint dummy {A B} (x : list (A * B)) : list (A * B) :=
  match x with
    | nil => nil
    | (_, _) :: _ => nil
  end.

Lemma foo :
  forall v t sub vars,
    LIn (nat * NTerm) (v, t) (dummy sub)
    ->
    (
      LIn (nat * NTerm) (v, t) sub
      *
      notT (LIn nat v vars)
    ).
Proof.
  induction sub; simpl; intros.
  destruct H.
  try (apply IHsub in X).