romega: takes advantage of context variables with body

 When a context variable x is of the form "x := body : Z",
 romega is now made aware of this body. Technically, we reify an equation
 x = body, and push a corresponding (eq_refl x) as argument of the
 final do_omega.

 See also the previous commit adding this same feature to omega
 (fixing bug 142).

1 files changed, 26 insertions, 0 deletions

diff --git a/test-suite/success/ROmega4.v b/test-suite/success/ROmega4.v
new file mode 100644
index 000000000..58ae5b8fb
--- /dev/null
+++ b/test-suite/success/ROmega4.v
@@ -0,0 +1,26 @@
+(** ROmega is now aware of the bodies of context variables
+    (of type Z or nat).
+    See also #148 for the corresponding improvement in Omega.
+*)
+
+Require Import ZArith ROmega.
+Open Scope Z.
+
+Goal let x := 3 in x = 3.
+intros.
+romega.
+Qed.
+
+(** Example seen in #4132
+    (actually solvable even if b isn't known to be 5) *)
+
+Lemma foo
+  (x y x' zxy zxy' z : Z)
+  (b := 5)
+  (Ry : - b <= y < b)
+  (Bx : x' <= b)
+  (H : - zxy' <= zxy)
+  (H' : zxy' <= x') : - b <= zxy.
+Proof.
+romega.
+Qed.