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Diffstat (limited to 'test-suite/bugs/closed/1425.v')
-rw-r--r-- | test-suite/bugs/closed/1425.v | 19 |
1 files changed, 19 insertions, 0 deletions
diff --git a/test-suite/bugs/closed/1425.v b/test-suite/bugs/closed/1425.v new file mode 100644 index 00000000..6be30174 --- /dev/null +++ b/test-suite/bugs/closed/1425.v @@ -0,0 +1,19 @@ +Require Import Setoid. + +Parameter recursion : forall A : Set, A -> (nat -> A -> A) -> nat -> A. + +Axiom recursion_S : + forall (A : Set) (EA : relation A) (a : A) (f : nat -> A -> A) (n : nat), + EA (recursion A a f (S n)) (f n (recursion A a f n)). + +Goal forall n : nat, recursion nat 0 (fun _ _ => 1) (S n) = 1. +intro n. +rewrite recursion_S. +reflexivity. +Qed. + +Goal forall n : nat, recursion nat 0 (fun _ _ => 1) (S n) = 1. +intro n. +setoid_rewrite recursion_S. +reflexivity. +Qed.
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