From d3135a69f653034f07b7657486f926a7a20ef3ee Mon Sep 17 00:00:00 2001
From: Jason Gross <jgross@mit.edu>
Date: Thu, 1 Jun 2017 23:59:55 -0400
Subject: Strip trailing whitespace

With
```bash
bash ./etc/coq-scripts/formatting/strip-trailing-whitespace.sh
```
---
 src/Curves/Edwards/Pre.v                | 2 +-
 src/Curves/Montgomery/Affine.v          | 2 +-
 src/Curves/Montgomery/AffineInstances.v | 4 ++--
 src/Curves/Montgomery/AffineProofs.v    | 4 ++--
 src/Curves/Weierstrass/Affine.v         | 2 +-
 src/Curves/Weierstrass/AffineProofs.v   | 2 +-
 6 files changed, 8 insertions(+), 8 deletions(-)

(limited to 'src/Curves')

diff --git a/src/Curves/Edwards/Pre.v b/src/Curves/Edwards/Pre.v
index 244acc9b5..9f5d5cfab 100644
--- a/src/Curves/Edwards/Pre.v
+++ b/src/Curves/Edwards/Pre.v
@@ -43,4 +43,4 @@ Section Edwards.
     Lemma onCurve_add : onCurve ((x1*y2  +  y1*x2)/(1 + d*x1*x2*y1*y2)) ((y1*y2 - a*x1*x2)/(1 - d*x1*x2*y1*y2)).
     Proof using Type*. pose proof denominator_nonzero. Field.fsatz. Qed.
   End Addition.
-End Edwards.
\ No newline at end of file
+End Edwards.
diff --git a/src/Curves/Montgomery/Affine.v b/src/Curves/Montgomery/Affine.v
index 70e8a3f6f..bfd7dce60 100644
--- a/src/Curves/Montgomery/Affine.v
+++ b/src/Curves/Montgomery/Affine.v
@@ -62,4 +62,4 @@ Module M.
       Next Obligation. Proof. destruct P; cbv; break_match; trivial; fsatz. Qed.
     End MontgomeryWeierstrass.
   End MontgomeryCurve.
-End M.
\ No newline at end of file
+End M.
diff --git a/src/Curves/Montgomery/AffineInstances.v b/src/Curves/Montgomery/AffineInstances.v
index ef5ccd578..049a7695b 100644
--- a/src/Curves/Montgomery/AffineInstances.v
+++ b/src/Curves/Montgomery/AffineInstances.v
@@ -19,7 +19,7 @@ Module M.
     Local Notation "0" := Fzero.
     Local Notation "1" := Fone.
     Local Notation "4" := (1+1+1+1).
-      
+
     Global Instance MontgomeryWeierstrassIsomorphism
            {a b: F}
            (b_nonzero : b <> 0)
@@ -40,7 +40,7 @@ Module M.
         (M.add(char_ge_3:=char_ge_3)(b_nonzero:=b_nonzero))
         M.zero
         (M.opp(b_nonzero:=b_nonzero))
-        
+
         (M.of_Weierstrass(Haw:=reflexivity _)(Hbw:=reflexivity _)(b_nonzero:=b_nonzero))
         (M.to_Weierstrass(Haw:=reflexivity _)(Hbw:=reflexivity _)(b_nonzero:=b_nonzero)).
     Proof.
diff --git a/src/Curves/Montgomery/AffineProofs.v b/src/Curves/Montgomery/AffineProofs.v
index 4601c3b66..588605c35 100644
--- a/src/Curves/Montgomery/AffineProofs.v
+++ b/src/Curves/Montgomery/AffineProofs.v
@@ -13,7 +13,7 @@ Module M.
     Context {F Feq Fzero Fone Fopp Fadd Fsub Fmul Finv Fdiv}
             {field:@Algebra.Hierarchy.field F Feq Fzero Fone Fopp Fadd Fsub Fmul Finv Fdiv}
             {Feq_dec:Decidable.DecidableRel Feq}.
-      
+
     Local Infix "=" := Feq : type_scope. Local Notation "a <> b" := (not (a = b)) : type_scope.
     Local Infix "+" := Fadd. Local Infix "*" := Fmul.
     Local Infix "-" := Fsub. Local Infix "/" := Fdiv.
@@ -74,7 +74,7 @@ Module M.
         (M.add(char_ge_3:=_3)(b_nonzero:=_4))
         M.zero
         (M.opp(b_nonzero:=_7))
-        
+
         (M.of_Weierstrass(Haw:=Haw)(Hbw:=Hbw)(b_nonzero:=_5))
         (M.to_Weierstrass(Haw:=Haw)(Hbw:=Hbw)(b_nonzero:=_6)).
     Proof.
diff --git a/src/Curves/Weierstrass/Affine.v b/src/Curves/Weierstrass/Affine.v
index 3a48bf998..cdcb1bec7 100644
--- a/src/Curves/Weierstrass/Affine.v
+++ b/src/Curves/Weierstrass/Affine.v
@@ -17,4 +17,4 @@ Module W.
       cbv [W.coordinates]; break_match; trivial; fsatz.
     Qed.
   End W.
-End W.
\ No newline at end of file
+End W.
diff --git a/src/Curves/Weierstrass/AffineProofs.v b/src/Curves/Weierstrass/AffineProofs.v
index 3401d7b31..2faac22eb 100644
--- a/src/Curves/Weierstrass/AffineProofs.v
+++ b/src/Curves/Weierstrass/AffineProofs.v
@@ -35,7 +35,7 @@ Module W.
            {char_ge_12:@Ring.char_ge F Feq Fzero Fone Fopp Fadd Fsub Fmul 12%positive} (* FIXME: shouldn't need we need 4, not 12? *)
            {discriminant_nonzero:id(4*a*a*a + 27*b*b <> 0)}
       : commutative_group(eq:=W.eq(a:=a)(b:=b))(op:=W.add(char_ge_3:=char_ge_3))(id:=W.zero)(inv:=W.opp).
-    Proof using Type. 
+    Proof using Type.
       Time
         cbv [W.opp W.eq W.zero W.add W.coordinates proj1_sig];
           repeat match goal with
-- 
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