diff options
Diffstat (limited to 'test-suite/bugs/closed/4533.v')
| -rw-r--r-- | test-suite/bugs/closed/4533.v | 11 |
1 files changed, 7 insertions, 4 deletions
diff --git a/test-suite/bugs/closed/4533.v b/test-suite/bugs/closed/4533.v index c3e0da11..fd2380a0 100644 --- a/test-suite/bugs/closed/4533.v +++ b/test-suite/bugs/closed/4533.v @@ -17,7 +17,10 @@ Notation "A -> B" := (forall (_ : A), B) : type_scope. Module Export Datatypes. Set Implicit Arguments. Notation nat := Coq.Init.Datatypes.nat. + Notation O := Coq.Init.Datatypes.O. Notation S := Coq.Init.Datatypes.S. + Notation one := (S O). + Notation two := (S one). Record prod (A B : Type) := pair { fst : A ; snd : B }. Notation "x * y" := (prod x y) : type_scope. Delimit Scope nat_scope with nat. @@ -109,7 +112,7 @@ Fixpoint ExtendableAlong@{i j k l} (n : nat) {A : Type@{i}} {B : Type@{j}} (f : A -> B) (C : B -> Type@{k}) : Type@{l} := match n with - | 0 => Unit@{l} + | O => Unit@{l} | S n => (forall (g : forall a, C (f a)), ExtensionAlong@{i j k l l} f C g) * forall (h k : forall b, C b), @@ -160,17 +163,17 @@ Module ReflectiveSubuniverses_Theory (Os : ReflectiveSubuniverses). Definition O_rec {P Q : Type} {Q_inO : In O Q} (f : P -> Q) : O P -> Q - := (fst (extendable_to_O O 1%nat) f).1. + := (fst (extendable_to_O O one) f).1. Definition O_rec_beta {P Q : Type} {Q_inO : In O Q} (f : P -> Q) (x : P) : O_rec f (to O P x) = f x - := (fst (extendable_to_O O 1%nat) f).2 x. + := (fst (extendable_to_O O one) f).2 x. Definition O_indpaths {P Q : Type} {Q_inO : In O Q} (g h : O P -> Q) (p : g o to O P == h o to O P) : g == h - := (fst (snd (extendable_to_O O 2) g h) p).1. + := (fst (snd (extendable_to_O O two) g h) p).1. End ORecursion. |