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authorGravatar Benjamin Barenblat <bbaren@debian.org>2018-12-29 14:31:27 -0500
committerGravatar Benjamin Barenblat <bbaren@debian.org>2018-12-29 14:31:27 -0500
commit9043add656177eeac1491a73d2f3ab92bec0013c (patch)
tree2b0092c84bfbf718eca10c81f60b2640dc8cab05 /test-suite/bugs/closed/4717.v
parenta4c7f8bd98be2a200489325ff7c5061cf80ab4f3 (diff)
Imported Upstream version 8.8.2upstream/8.8.2
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+(* Omega being smarter on recognizing nat and Z *)
+
+Require Import Omega.
+
+Definition nat' := nat.
+
+Theorem le_not_eq_lt : forall (n m:nat),
+ n <= m ->
+ n <> m :> nat' ->
+ n < m.
+Proof.
+ intros.
+ omega.
+Qed.
+
+Goal forall (x n : nat'), x = x + n - n.
+Proof.
+ intros.
+ omega.
+Qed.
+
+Require Import ZArith ROmega.
+
+Open Scope Z_scope.
+
+Definition Z' := Z.
+
+Theorem Zle_not_eq_lt : forall n m,
+ n <= m ->
+ n <> m :> Z' ->
+ n < m.
+Proof.
+ intros.
+ omega.
+ Undo.
+ romega.
+Qed.