Cleanup of SkyBinding, and resultant yak shaving.

sky/examples/widgets/spinning_mixed.dart

 // Copyright 2015 The Chromium Authors. All rights reserved.
 // Use of this source code is governed by a BSD-style license that can be
 // found in the LICENSE file.
 
 import 'dart:sky' as sky;
 
-import 'package:sky/app/scheduler.dart';
+import 'package:sky/base/scheduler.dart';
 import 'package:sky/rendering/box.dart';
 import 'package:sky/rendering/flex.dart';
+import 'package:sky/rendering/sky_binding.dart';
 import 'package:sky/widgets/basic.dart';
 import 'package:sky/widgets/raised_button.dart';
 import 'package:sky/widgets/widget.dart';
 import 'package:vector_math/vector_math.dart';
 
 import '../lib/solid_color_box.dart';
 import '../../tests/resources/display_list.dart';
 
 // Solid colour, RenderObject version
 void addFlexChildSolidColor(RenderFlex parent, sky.Color backgroundColor, { int flex: 0 }) {
@@ skipping 67 matching lines @@
   RenderProxyBox proxy = new RenderProxyBox();
   new RenderBoxToWidgetAdapter(proxy, builder); // adds itself to proxy
 
   addFlexChildSolidColor(flexRoot, const sky.Color(0xFFFF00FF), flex: 1);
   flexRoot.add(proxy);
   addFlexChildSolidColor(flexRoot, const sky.Color(0xFF0000FF), flex: 1);
 
   transformBox = new RenderTransform(child: flexRoot, transform: new Matrix4.identity());
   RenderPadding root = new RenderPadding(padding: new EdgeDims.all(20.0), child: transformBox);
 
-  WidgetSkyBinding.skyBinding.root = root;
+  SkyBinding.instance.root = root;
   addPersistentFrameCallback(rotate);
 }