
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given the function $f(x) = \frac {x}{\ln x} - ax$.  
(I) If the function $f(x)$ is decreasing on $(1, +\infty)$, find the minimum value of the real number $a$;  
(II) Given that $f'(x)$ represents the derivative of $f(x)$, if there exist $x_1$ and $x_2 \in [e, e^2]$ (where $e$ is the base of the natural logarithm) such that $f(x_1) - f'(x_2) \leqslant a$ is satisfied, find the range of values for the real number $a$.

Present the answer in LaTex format: \boxed{Your answer}
user