Replace deprecated base::NonThreadSafe in components/password_manager in favor of SequenceChecker.

components/password_manager/core/browser/password_syncable_service.h

Index: components/password_manager/core/browser/password_syncable_service.h
diff --git a/components/password_manager/core/browser/password_syncable_service.h b/components/password_manager/core/browser/password_syncable_service.h
index 6eb21079a6f6f5450746a7aeb6e64c158ca883ea..50ab358c080cb0bb022d7b2daf579e35948c8d73 100644
--- a/components/password_manager/core/browser/password_syncable_service.h
+++ b/components/password_manager/core/browser/password_syncable_service.h
@@ -10,7 +10,7 @@
 #include <vector>
 
 #include "base/macros.h"
-#include "base/threading/non_thread_safe.h"
+#include "base/sequence_checker.h"
 #include "components/password_manager/core/browser/password_store_change.h"
 #include "components/sync/model/sync_change.h"
 #include "components/sync/model/sync_data.h"
@@ -32,8 +32,7 @@ namespace password_manager {
 class PasswordStoreSync;
 
 // The implementation of the SyncableService API for passwords.
-class PasswordSyncableService : public syncer::SyncableService,
-                                public base::NonThreadSafe {
+class PasswordSyncableService : public syncer::SyncableService {
  public:
   // Since the constructed |PasswordSyncableService| is typically owned by the
   // |password_store|, the constructor doesn't take ownership of the
@@ -113,6 +112,8 @@ class PasswordSyncableService : public syncer::SyncableService,
   // True if processing sync changes is in progress.
   bool is_processing_sync_changes_;
 
+  SEQUENCE_CHECKER(sequence_checker_);
+
   DISALLOW_COPY_AND_ASSIGN(PasswordSyncableService);
 };