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Diffstat (limited to 'test-suite/bugs/closed/shouldsucceed/38.v')
-rw-r--r-- | test-suite/bugs/closed/shouldsucceed/38.v | 22 |
1 files changed, 22 insertions, 0 deletions
diff --git a/test-suite/bugs/closed/shouldsucceed/38.v b/test-suite/bugs/closed/shouldsucceed/38.v new file mode 100644 index 00000000..7bc04b1f --- /dev/null +++ b/test-suite/bugs/closed/shouldsucceed/38.v @@ -0,0 +1,22 @@ +Require Import Setoid. + +Variable A : Set. + +Inductive liste : Set := +| vide : liste +| c : A -> liste -> liste. + +Inductive e : A -> liste -> Prop := +| ec : forall (x : A) (l : liste), e x (c x l) +| ee : forall (x y : A) (l : liste), e x l -> e x (c y l). + +Definition same := fun (l m : liste) => forall (x : A), e x l <-> e x m. + +Definition same_refl (x:liste) : (same x x). + unfold same; split; intros; trivial. +Save. + +Goal forall (x:liste), (same x x). + intro. + apply (same_refl x). +Qed. |