Sqlite – How to make Entity framework 6 + Sqlite + code first work

I am trying to create a simple project to explore how Entity framework 6 code first with sqlite db provider works, but when I complite my app I get the error:

"The Entity Framework provider type
'System.Data.SQLite.SQLiteProviderServices, System.Data.SQLite.Linq,
Version=1.0.91.0, Culture=neutral, PublicKeyToken=db937bc2d44ff139'
registered in the application config file for the ADO.NET provider
with invariant name 'System.Data.SQLite' could not be loaded. Make
sure that the assembly-qualified name is used and that the assembly is
available to the running application. See
http://go.microsoft.com/fwlink/?LinkId=260882 for more information."

I think that this error has something to do with the app.config file.
Does anyone has a working app.config file for Entity framework 6 + Sqlite 1.0.91?

These are my config file contents:

    <?xml version="1.0"?>
<configuration>
  <configSections>
    <section name="entityFramework" type="System.Data.Entity.Internal.ConfigFile.EntityFrameworkSection, EntityFramework, Version=6.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089" requirePermission="false"/>
    <!-- For more information on Entity Framework configuration, visit http://go.microsoft.com/fwlink/?LinkID=237468 -->
  </configSections>

  <entityFramework>
    <defaultConnectionFactory type="System.Data.Entity.Infrastructure.SqlConnectionFactory, EntityFramework"/>
    <providers>
      <provider invariantName="System.Data.SqlClient" type="System.Data.Entity.SqlServer.SqlProviderServices, EntityFramework.SqlServer"/>
      <provider invariantName="System.Data.SQLite" type="System.Data.SQLite.SQLiteProviderServices, System.Data.SQLite.Linq, Version=1.0.91.0, Culture=neutral, PublicKeyToken=db937bc2d44ff139"/>
    </providers>
  </entityFramework>
  <connectionStrings>
    <add name="BloggingContext" connectionString="Data Source=.\animals.sqlite" providerName="System.Data.SQLite"/>
  </connectionStrings>
  <system.data>
    <DbProviderFactories>
      <remove invariant="System.Data.SQLite"/>
      <add name="SQLite Data Provider" invariant="System.Data.SQLite" description="Data Provider for SQLite" type="System.Data.SQLite.SQLiteFactory, System.Data.SQLite"/>
    </DbProviderFactories>
  </system.data>


<startup><supportedRuntime version="v4.0" sku=".NETFramework,Version=v4.0"/></startup></configuration>