does po 125 and po 171 go hand and hand?

Question

Car shakes when idling, no thrust, loses power and sometimes stalls
At a light

Answer 1

P0125 Insufficient coolant temperature for closed loop operation

P0171 Fuel trim lean Bank 1

For P0125 check for any coolant leaks or low coolant level, this code mostly set when there is low coolant level , P0171 is lean code condition vacuum leak are mostly the cause for this code and the condition of the car shaking and stalls, They do not go habd in hand they are separate condtion that the engine has