
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 $m$, $n$, $p$ represent three non-coincident lines, and $\alpha$, $\beta$, $\gamma$ represent three non-coincident planes. Among the following statements, the correct ones are \_\_\_\_\_\_. (Write down the numbers of all correct statements.)

① If $m \perp p$ and $m \parallel n$, then $n \perp p$;  
② If $m \parallel \beta$, $n \parallel \beta$, $m \subset \alpha$, $n \subset \alpha$, then $\alpha \parallel \beta$;  
③ If $\alpha \perp \gamma$, $\beta \perp \gamma$, $\alpha \cap \beta = m$, then $m \perp \gamma$;  
④ If $\alpha \parallel \beta$, $m \subset \alpha$, $n \subset \beta$, then $m \parallel n$.

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