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-rw-r--r--theories/Reals/Cos_plus.v1
-rw-r--r--theories/Reals/Cos_rel.v1
-rw-r--r--theories/Reals/Exp_prop.v1
-rw-r--r--theories/Reals/Machin.v1
-rw-r--r--theories/Reals/Ranalysis2.v1
-rw-r--r--theories/Reals/Ranalysis5.v1
-rw-r--r--theories/Reals/Ratan.v1
-rw-r--r--theories/Reals/Rprod.v1
-rw-r--r--theories/Reals/Rsigma.v1
-rw-r--r--theories/Reals/SeqProp.v1
10 files changed, 10 insertions, 0 deletions
diff --git a/theories/Reals/Cos_plus.v b/theories/Reals/Cos_plus.v
index c296d427d..2cfd2790f 100644
--- a/theories/Reals/Cos_plus.v
+++ b/theories/Reals/Cos_plus.v
@@ -12,6 +12,7 @@ Require Import SeqSeries.
Require Import Rtrigo_def.
Require Import Cos_rel.
Require Import Max.
+Require Import Omega.
Local Open Scope nat_scope.
Local Open Scope R_scope.
diff --git a/theories/Reals/Cos_rel.v b/theories/Reals/Cos_rel.v
index 9c7472fe0..335d5b16a 100644
--- a/theories/Reals/Cos_rel.v
+++ b/theories/Reals/Cos_rel.v
@@ -10,6 +10,7 @@ Require Import Rbase.
Require Import Rfunctions.
Require Import SeqSeries.
Require Import Rtrigo_def.
+Require Import Omega.
Local Open Scope R_scope.
Definition A1 (x:R) (N:nat) : R :=
diff --git a/theories/Reals/Exp_prop.v b/theories/Reals/Exp_prop.v
index 40064fd51..dbf48e61a 100644
--- a/theories/Reals/Exp_prop.v
+++ b/theories/Reals/Exp_prop.v
@@ -15,6 +15,7 @@ Require Import PSeries_reg.
Require Import Div2.
Require Import Even.
Require Import Max.
+Require Import Omega.
Local Open Scope nat_scope.
Local Open Scope R_scope.
diff --git a/theories/Reals/Machin.v b/theories/Reals/Machin.v
index 0166ceda6..311f29098 100644
--- a/theories/Reals/Machin.v
+++ b/theories/Reals/Machin.v
@@ -16,6 +16,7 @@ Require Import Rseries.
Require Import SeqProp.
Require Import PartSum.
Require Import Ratan.
+Require Import Omega.
Local Open Scope R_scope.
diff --git a/theories/Reals/Ranalysis2.v b/theories/Reals/Ranalysis2.v
index b2d9c749f..c66c7b412 100644
--- a/theories/Reals/Ranalysis2.v
+++ b/theories/Reals/Ranalysis2.v
@@ -9,6 +9,7 @@
Require Import Rbase.
Require Import Rfunctions.
Require Import Ranalysis1.
+Require Import Omega.
Local Open Scope R_scope.
(**********)
diff --git a/theories/Reals/Ranalysis5.v b/theories/Reals/Ranalysis5.v
index 0614f3998..3a5f932dd 100644
--- a/theories/Reals/Ranalysis5.v
+++ b/theories/Reals/Ranalysis5.v
@@ -14,6 +14,7 @@ Require Import Fourier.
Require Import RiemannInt.
Require Import SeqProp.
Require Import Max.
+Require Import Omega.
Local Open Scope R_scope.
(** * Preliminaries lemmas *)
diff --git a/theories/Reals/Ratan.v b/theories/Reals/Ratan.v
index 45a703270..dcf2f9709 100644
--- a/theories/Reals/Ratan.v
+++ b/theories/Reals/Ratan.v
@@ -18,6 +18,7 @@ Require Import SeqProp.
Require Import Ranalysis5.
Require Import SeqSeries.
Require Import PartSum.
+Require Import Omega.
Local Open Scope R_scope.
diff --git a/theories/Reals/Rprod.v b/theories/Reals/Rprod.v
index 88c4de239..d5f1994c5 100644
--- a/theories/Reals/Rprod.v
+++ b/theories/Reals/Rprod.v
@@ -12,6 +12,7 @@ Require Import Rfunctions.
Require Import Rseries.
Require Import PartSum.
Require Import Binomial.
+Require Import Omega.
Local Open Scope R_scope.
(** TT Ak; 0<=k<=N *)
diff --git a/theories/Reals/Rsigma.v b/theories/Reals/Rsigma.v
index 76b44d969..ae8074a28 100644
--- a/theories/Reals/Rsigma.v
+++ b/theories/Reals/Rsigma.v
@@ -10,6 +10,7 @@ Require Import Rbase.
Require Import Rfunctions.
Require Import Rseries.
Require Import PartSum.
+Require Import Omega.
Local Open Scope R_scope.
Set Implicit Arguments.
diff --git a/theories/Reals/SeqProp.v b/theories/Reals/SeqProp.v
index 52657b401..7f3282a35 100644
--- a/theories/Reals/SeqProp.v
+++ b/theories/Reals/SeqProp.v
@@ -10,6 +10,7 @@ Require Import Rbase.
Require Import Rfunctions.
Require Import Rseries.
Require Import Max.
+Require Import Omega.
Local Open Scope R_scope.
(*****************************************************************)