replacing omega with lia in some file

1 files changed, 26 insertions, 25 deletions

diff --git a/kvx/Stacklayout.v b/kvx/Stacklayout.v
index 81ffcebb..05cfa1d7 100644
--- a/kvx/Stacklayout.v
+++ b/kvx/Stacklayout.v
@@ -18,6 +18,7 @@
 Require Import Coqlib.
 Require Import AST Memory Separation.
 Require Import Bounds.
+Require Import Lia.
 
 Local Open Scope sep_scope.
 
@@ -71,15 +72,15 @@ Local Opaque Z.add Z.mul sepconj range.
   set (ol :=  align (size_callee_save_area b ocs) 8).
   set (ostkdata := align (ol + 4 * b.(bound_local)) 8).
   replace (size_chunk Mptr) with w by (rewrite size_chunk_Mptr; auto).
-  assert (0 < w) by (unfold w; destruct Archi.ptr64; omega).
+  assert (0 < w) by (unfold w; destruct Archi.ptr64; lia).
   generalize b.(bound_local_pos) b.(bound_outgoing_pos) b.(bound_stack_data_pos); intros.
-  assert (0 <= 4 * b.(bound_outgoing)) by omega.
-  assert (4 * b.(bound_outgoing) <= olink) by (apply align_le; omega).
-  assert (olink + w <= oretaddr) by (unfold oretaddr; omega).
-  assert (oretaddr + w <= ocs) by (unfold ocs; omega).
+  assert (0 <= 4 * b.(bound_outgoing)) by lia.
+  assert (4 * b.(bound_outgoing) <= olink) by (apply align_le; lia).
+  assert (olink + w <= oretaddr) by (unfold oretaddr; lia).
+  assert (oretaddr + w <= ocs) by (unfold ocs; lia).
   assert (ocs <= size_callee_save_area b ocs) by (apply size_callee_save_area_incr). 
-  assert (size_callee_save_area b ocs <= ol) by (apply align_le; omega).
-  assert (ol + 4 * b.(bound_local) <= ostkdata) by (apply align_le; omega).
+  assert (size_callee_save_area b ocs <= ol) by (apply align_le; lia).
+  assert (ol + 4 * b.(bound_local) <= ostkdata) by (apply align_le; lia).
 (* Reorder as:
      outgoing
      back link
@@ -92,11 +93,11 @@ Local Opaque Z.add Z.mul sepconj range.
   rewrite sep_swap45.
 (* Apply range_split and range_split2 repeatedly *)
   unfold fe_ofs_arg.
-  apply range_split_2. fold olink; omega. omega.
-  apply range_split. omega.
-  apply range_split. omega.
-  apply range_split_2. fold ol. omega. omega.
-  apply range_drop_right with ostkdata. omega.
+  apply range_split_2. fold olink; lia. lia.
+  apply range_split. lia.
+  apply range_split. lia.
+  apply range_split_2. fold ol. lia. lia.
+  apply range_drop_right with ostkdata. lia.
   eapply sep_drop2. eexact H.
 Qed.
 
@@ -112,16 +113,16 @@ Proof.
   set (ocs := oretaddr + w).
   set (ol :=  align (size_callee_save_area b ocs) 8).
   set (ostkdata := align (ol + 4 * b.(bound_local)) 8).
-  assert (0 < w) by (unfold w; destruct Archi.ptr64; omega).
+  assert (0 < w) by (unfold w; destruct Archi.ptr64; lia).
   generalize b.(bound_local_pos) b.(bound_outgoing_pos) b.(bound_stack_data_pos); intros.
-  assert (0 <= 4 * b.(bound_outgoing)) by omega.
-  assert (4 * b.(bound_outgoing) <= olink) by (apply align_le; omega).
-  assert (olink + w <= oretaddr) by (unfold oretaddr; omega).
-  assert (oretaddr + w <= ocs) by (unfold ocs; omega).
+  assert (0 <= 4 * b.(bound_outgoing)) by lia.
+  assert (4 * b.(bound_outgoing) <= olink) by (apply align_le; lia).
+  assert (olink + w <= oretaddr) by (unfold oretaddr; lia).
+  assert (oretaddr + w <= ocs) by (unfold ocs; lia).
   assert (ocs <= size_callee_save_area b ocs) by (apply size_callee_save_area_incr). 
-  assert (size_callee_save_area b ocs <= ol) by (apply align_le; omega).
-  assert (ol + 4 * b.(bound_local) <= ostkdata) by (apply align_le; omega).
-  split. omega. apply align_le. omega. 
+  assert (size_callee_save_area b ocs <= ol) by (apply align_le; lia).
+  assert (ol + 4 * b.(bound_local) <= ostkdata) by (apply align_le; lia).
+  split. lia. apply align_le. lia. 
 Qed.
 
 Lemma frame_env_aligned:
@@ -140,11 +141,11 @@ Proof.
   set (ocs := oretaddr + w).
   set (ol :=  align (size_callee_save_area b ocs) 8).
   set (ostkdata := align (ol + 4 * b.(bound_local)) 8).
-  assert (0 < w) by (unfold w; destruct Archi.ptr64; omega).
+  assert (0 < w) by (unfold w; destruct Archi.ptr64; lia).
   replace (align_chunk Mptr) with w by (rewrite align_chunk_Mptr; auto).
   split. apply Z.divide_0_r.
-  split. apply align_divides; omega.
-  split. apply align_divides; omega.
-  split. apply align_divides; omega.
-  apply Z.divide_add_r. apply align_divides; omega. apply Z.divide_refl.
+  split. apply align_divides; lia.
+  split. apply align_divides; lia.
+  split. apply align_divides; lia.
+  apply Z.divide_add_r. apply align_divides; lia. apply Z.divide_refl.
 Qed.