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authorMatthieu Sozeau2018-10-01 14:41:33 +0200
committerMatthieu Sozeau2018-10-01 14:41:33 +0200
commitaff4c089548c4e77b93a5676fe82abf93189d6ce (patch)
tree21732e66a7f5be31aae916ac6d4828bca6772f0a /test-suite
parentd4e452e7561f3a72e03c1965518b5c29905ed2a2 (diff)
parent5ea3d1b1e01f56573e72d7818a4b7e6393ffdfa8 (diff)
Merge PR #7634: Extend combined scheme to Schemes in Type
Diffstat (limited to 'test-suite')
-rw-r--r--test-suite/success/CombinedScheme.v35
1 files changed, 35 insertions, 0 deletions
diff --git a/test-suite/success/CombinedScheme.v b/test-suite/success/CombinedScheme.v
new file mode 100644
index 0000000000..d6ca7a299f
--- /dev/null
+++ b/test-suite/success/CombinedScheme.v
@@ -0,0 +1,35 @@
+Inductive even (x : bool) : nat -> Type :=
+| evenO : even x 0
+| evenS : forall n, odd x n -> even x (S n)
+with odd (x : bool) : nat -> Type :=
+| oddS : forall n, even x n -> odd x (S n).
+
+Scheme even_ind_prop := Induction for even Sort Prop
+with odd_ind_prop := Induction for odd Sort Prop.
+
+Combined Scheme even_cprop from even_ind_prop, odd_ind_prop.
+
+Check even_cprop :
+ forall (x : bool) (P : forall n : nat, even x n -> Prop)
+ (P0 : forall n : nat, odd x n -> Prop),
+ P 0 (evenO x) ->
+ (forall (n : nat) (o : odd x n), P0 n o -> P (S n) (evenS x n o)) ->
+ (forall (n : nat) (e : even x n), P n e -> P0 (S n) (oddS x n e)) ->
+ (forall (n : nat) (e : even x n), P n e) /\
+ (forall (n : nat) (o : odd x n), P0 n o).
+
+Scheme even_ind_type := Induction for even Sort Type
+with odd_ind_type := Induction for odd Sort Type.
+
+(* This didn't work in v8.7 *)
+
+Combined Scheme even_ctype from even_ind_type, odd_ind_type.
+
+Check even_ctype :
+ forall (x : bool) (P : forall n : nat, even x n -> Prop)
+ (P0 : forall n : nat, odd x n -> Prop),
+ P 0 (evenO x) ->
+ (forall (n : nat) (o : odd x n), P0 n o -> P (S n) (evenS x n o)) ->
+ (forall (n : nat) (e : even x n), P n e -> P0 (S n) (oddS x n e)) ->
+ (forall (n : nat) (e : even x n), P n e) *
+ (forall (n : nat) (o : odd x n), P0 n o).