The case was decided by the High Court, and is therefore at the lowest possible level in the hierarchy of English Courts. Permission to appeal was declined - though Mr Wheeler has said that he will apply directly for such permission from the Court of Appeal.
The law report discuss some very important constitutional issues, and all students of Constitutional Law ought to read this case (particularly from paragraph 45 onwards about 'The implications of the privileges and role of Parliament. It is available at http://www.bailii.org/ew/cases/EWHC/Admin/2008/1409.html
A V Dicey (Defender of the Sovereignty of Parliament)