Abstract: The invention relates to a brake system for a motor vehicle, a method for operating such a brake system, as well as a motor vehicle with such a brake system, wherein the brake system comprises a primary system and a secondary system that are each designed to automatically brake the motor vehicle to a standstill and then secure it at a standstill according to an emergency function. At least the primary system is designed to perform the emergency function when a fault occurs in a vehicle function designed to autonomously control or remotely control the motor vehicle. The secondary system is configured to perform the emergency function when an additional fault occurs in the primary system.