Supreme is the fifth named story arc in Daredevil Vol 5.
After a fight with the Munition Militia, where, using help from Echo, and Luke Cage, Daredevil doesn't physically intervene, Matt Murdock has Daredevil called in as a witness. The judge believes Daredevil is Daredevil, after the Munition Militia attack the courtroom and are stopped by him. This sets precedent for vigilantes to testify without revealing their identities.
In preparation for the appeal Matt speaks to Jennifer in a Lawyer Bar, who warns him that Legal is a legal force to be reckoned with. Tombstone assaults the bar and is fought back against by Hulk, Jennifer's alter ego.
Legal wins the appeals case and Matt takes the case to the Supreme Court, where supreme legal precedent may be set. Matt wins the case 4 to 3 and takes solace in the changes he's made for the betterment of justice.