
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 $a$ and $b$ represent lines, and $\alpha$ represents a plane, then the correct statement(s) among the following is(are)  
(1) If $b \subset \alpha$ and $a \parallel \alpha$, then $a \parallel b$;  
(2) If $b \subset \alpha$ and $a \parallel b$, then $a \parallel \alpha$;  
(3) If the angle formed by $a$ and $b$ with $\alpha$ is equal, then $a \parallel b$;  
(4) If $a \parallel b$ and $a \perp \alpha$, then $b \perp \alpha$.

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