
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 $f(x)=e^{x}-ax-1$ ($a > 0$, $e$ is the base of the natural logarithm).  
(1) Find the minimum value of the function $f(x)$.  
(2) If $f(x) \geqslant 0$ holds for any $x \in \mathbb{R}$, find the value of the real number $a$.

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