Propulsion system including a turbine engine

A propulsion system comprising:

• a first turbine engine comprising:
• a first turbo-engine including a first low-pressure shaft and one or more first engine bearings;
• a first propulsor including a first propulsor shaft;
• a first gearbox assembly including a first gear assembly, the first propulsor shaft being drivingly coupled to the first low-pressure shaft through the first gear assembly;
• and
• a first electric machine that powers the first propulsor when the first turbo-engine is shut down;
• a first electric power supply;
• and
• a first lubrication system configured to supply a lubricant to at least one of the one or more first engine bearings or the first gear assembly, the first electric power supply configured to power the first lubrication system to supply the lubricant;
• a second turbine engine comprising:
• a second turbo-engine including a second low-pressure shaft and one or more second engine bearings;
• a second propulsor including a second propulsor shaft;
• a second gearbox assembly including a second gear assembly, the second propulsor shaft being drivingly coupled to the second low-pressure shaft through the second gear assembly;
• and
• a second electric machine that powers the second propulsor when the second turbo-engine is shut down, the second electric machine in direct electrical communication with the first lubrication system, and the second electric machine configured to directly power the first lubrication system to supply the lubricant when the first turbine engine is shut down.