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authorGravatar Stephane Glondu <steph@glondu.net>2010-07-21 09:46:51 +0200
committerGravatar Stephane Glondu <steph@glondu.net>2010-07-21 09:46:51 +0200
commit5b7eafd0f00a16d78f99a27f5c7d5a0de77dc7e6 (patch)
tree631ad791a7685edafeb1fb2e8faeedc8379318ae /test-suite/success/Case3.v
parentda178a880e3ace820b41d38b191d3785b82991f5 (diff)
Imported Upstream snapshot 8.3~beta0+13298
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+Inductive Le : nat -> nat -> Set :=
+ | LeO : forall n : nat, Le 0 n
+ | LeS : forall n m : nat, Le n m -> Le (S n) (S m).
+
+Parameter discr_l : forall n : nat, S n <> 0.
+
+Type
+ (fun n : nat =>
+ match n return (n = 0 \/ n <> 0) with
+ | O => or_introl (0 <> 0) (refl_equal 0)
+ | S O => or_intror (1 = 0) (discr_l 0)
+ | S (S x) => or_intror (S (S x) = 0) (discr_l (S x))
+ end).
+
+Parameter iguales : forall (n m : nat) (h : Le n m), Prop.
+
+Type
+ match LeO 0 as h in (Le n m) return Prop with
+ | LeO O => True
+ | LeS (S x) (S y) H => iguales (S x) (S y) H
+ | _ => False
+ end.
+
+Type
+ match LeO 0 as h in (Le n m) return Prop with
+ | LeO O => True
+ | LeS (S x) O H => iguales (S x) 0 H
+ | _ => False
+ end.