4 files changed, 8 insertions, 3 deletions
diff --git a/src/Util/ZUtil/Div.v b/src/Util/ZUtil/Div.v
index 7012f83c0..4995ba76b 100644
--- a/src/Util/ZUtil/Div.v
+++ b/src/Util/ZUtil/Div.v
@@ -45,10 +45,10 @@ Module Z.
 
   Lemma div_add' a b c : c <> 0 -> (a + c * b) / c = a / c + b.
   Proof. intro; rewrite <- Z.div_add, (Z.mul_comm c); try lia. Qed.
-
   Lemma div_add_l' a b c : b <> 0 -> (b * a + c) / b = a + c / b.
   Proof. intro; rewrite <- Z.div_add_l, (Z.mul_comm b); lia. Qed.
-
+  Hint Rewrite Z.div_add' Z.div_add_l' using zutil_arith : push_Zdiv.
+  Hint Rewrite <- Z.div_add' Z.div_add_l' using zutil_arith : pull_Zdiv.
   Hint Rewrite div_add_l' div_add' using zutil_arith : zsimplify.
 
   Lemma div_sub a b c : c <> 0 -> (a - b * c) / c = a / c - b.
diff --git a/src/Util/ZUtil/Hints/PullPush.v b/src/Util/ZUtil/Hints/PullPush.v
index a6d4e94b4..a56357c1a 100644
--- a/src/Util/ZUtil/Hints/PullPush.v
+++ b/src/Util/ZUtil/Hints/PullPush.v
@@ -14,6 +14,8 @@ Hint Rewrite Z.mul_add_distr_l Z.mul_add_distr_r Z.mul_sub_distr_l Z.mul_sub_dis
 Hint Rewrite <- Z.mul_add_distr_l Z.mul_add_distr_r Z.mul_sub_distr_l Z.mul_sub_distr_r : pull_Zmul.
 Hint Rewrite Z.div_div using zutil_arith : pull_Zdiv.
 Hint Rewrite <- Z.div_div using zutil_arith : push_Zdiv.
+Hint Rewrite Z.div_add Z.div_add_l using zutil_arith : push_Zdiv.
+Hint Rewrite <- Z.div_add Z.div_add_l using zutil_arith : pull_Zdiv.
 Hint Rewrite <- Z.mul_mod Z.add_mod Zminus_mod using zutil_arith : pull_Zmod.
 Hint Rewrite Zminus_mod_idemp_l Zminus_mod_idemp_r : pull_Zmod.
 Hint Rewrite Z_mod_nz_opp_full using zutil_arith : push_Zmod.
@@ -21,6 +23,7 @@ Hint Rewrite Z_mod_same_full : push_Zmod.
 Hint Rewrite Nat2Z.id : push_Zof_nat.
 Hint Rewrite N2Z.id : push_Zto_N.
 Hint Rewrite N2Z.id : pull_Zof_N.
+Hint Rewrite Z2Nat.id Z2Nat.inj_succ using zutil_arith : push_Zto_nat.
 Hint Rewrite N2Z.inj_pos N2Z.inj_abs_N N2Z.inj_add N2Z.inj_mul N2Z.inj_sub_max N2Z.inj_succ N2Z.inj_pred_max N2Z.inj_min N2Z.inj_max N2Z.inj_div N2Z.inj_quot N2Z.inj_rem N2Z.inj_div2 N2Z.inj_pow N2Z.inj_0 nat_N_Z : push_Zof_N.
 Hint Rewrite N2Z.inj_compare N2Z.inj_testbit : pull_Zof_N.
 Hint Rewrite <- N2Z.inj_abs_N N2Z.inj_add N2Z.inj_mul N2Z.inj_sub_max N2Z.inj_succ N2Z.inj_pred_max N2Z.inj_min N2Z.inj_max N2Z.inj_div N2Z.inj_quot N2Z.inj_rem N2Z.inj_div2 N2Z.inj_pow : pull_Zof_N.
diff --git a/src/Util/ZUtil/Hints/ZArith.v b/src/Util/ZUtil/Hints/ZArith.v
index 2aa70dc97..97b7f261f 100644
--- a/src/Util/ZUtil/Hints/ZArith.v
+++ b/src/Util/ZUtil/Hints/ZArith.v
@@ -8,3 +8,5 @@ Hint Resolve (fun n m => proj1 (Z.pred_le_mono n m)) : zarith.
 Hint Resolve (fun a b => proj2 (Z.lor_nonneg a b)) : zarith.
 
 Hint Resolve Zmult_le_compat_r Zmult_le_compat_l Z_div_le Z.add_le_mono Z.sub_le_mono : zarith.
+Hint Resolve Z.lt_gt Z.lt_le_incl : zarith.
+Hint Resolve Nat2Z.is_nonneg : zarith.
diff --git a/src/Util/ZUtil/Le.v b/src/Util/ZUtil/Le.v
index a32d0fdd0..d49931818 100644
--- a/src/Util/ZUtil/Le.v
+++ b/src/Util/ZUtil/Le.v
@@ -61,4 +61,4 @@ Module Z.
 
   Lemma le_add_1_iff x y : x + 1 <= y <-> x < y.
   Proof. lia. Qed.
-End Z.
+End Z.
+\ No newline at end of file