summaryrefslogtreecommitdiff
path: root/test-suite/success/mutual_ind.v
diff options
context:
space:
mode:
Diffstat (limited to 'test-suite/success/mutual_ind.v')
-rw-r--r--test-suite/success/mutual_ind.v45
1 files changed, 23 insertions, 22 deletions
diff --git a/test-suite/success/mutual_ind.v b/test-suite/success/mutual_ind.v
index e932f50c..463efed3 100644
--- a/test-suite/success/mutual_ind.v
+++ b/test-suite/success/mutual_ind.v
@@ -7,35 +7,36 @@
(************************************************************************)
(* Definition mutuellement inductive et dependante *)
-Require Export PolyList.
+Require Export List.
- Record signature : Type := {
- sort : Set;
- sort_beq : sort->sort->bool;
- sort_beq_refl : (f:sort)true=(sort_beq f f);
- sort_beq_eq : (f1,f2:sort)true=(sort_beq f1 f2)->f1=f2;
+ Record signature : Type :=
+ {sort : Set;
+ sort_beq : sort -> sort -> bool;
+ sort_beq_refl : forall f : sort, true = sort_beq f f;
+ sort_beq_eq : forall f1 f2 : sort, true = sort_beq f1 f2 -> f1 = f2;
fsym :> Set;
- fsym_type : fsym->(list sort)*sort;
- fsym_beq : fsym->fsym->bool;
- fsym_beq_refl : (f:fsym)true=(fsym_beq f f);
- fsym_beq_eq : (f1,f2:fsym)true=(fsym_beq f1 f2)->f1=f2
- }.
+ fsym_type : fsym -> list sort * sort;
+ fsym_beq : fsym -> fsym -> bool;
+ fsym_beq_refl : forall f : fsym, true = fsym_beq f f;
+ fsym_beq_eq : forall f1 f2 : fsym, true = fsym_beq f1 f2 -> f1 = f2}.
Variable F : signature.
- Definition vsym := (sort F)*nat.
+ Definition vsym := (sort F * nat)%type.
- Definition vsym_sort := (fst (sort F) nat).
- Definition vsym_nat := (snd (sort F) nat).
+ Definition vsym_sort := fst (A:=sort F) (B:=nat).
+ Definition vsym_nat := snd (A:=sort F) (B:=nat).
- Mutual Inductive term : (sort F)->Set :=
- | term_var : (v:vsym)(term (vsym_sort v))
- | term_app : (f:F)(list_term (Fst (fsym_type F f)))
- ->(term (Snd (fsym_type F f)))
- with list_term : (list (sort F)) -> Set :=
- | term_nil : (list_term (nil (sort F)))
- | term_cons : (s:(sort F);l:(list (sort F)))
- (term s)->(list_term l)->(list_term (cons s l)).
+ Inductive term : sort F -> Set :=
+ | term_var : forall v : vsym, term (vsym_sort v)
+ | term_app :
+ forall f : F,
+ list_term (fst (fsym_type F f)) -> term (snd (fsym_type F f))
+with list_term : list (sort F) -> Set :=
+ | term_nil : list_term nil
+ | term_cons :
+ forall (s : sort F) (l : list (sort F)),
+ term s -> list_term l -> list_term (s :: l).