
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 $\alpha$ and $\beta$ are two different planes, and $m$ and $n$ are two different lines, consider the following propositions:  
① If $m$ and $n$ are parallel to the same plane, then $m$ and $n$ are parallel;  
② If $m \perp \alpha$ and $n \parallel \alpha$, then $m \perp n$;  
③ If $\alpha$ and $\beta$ are not parallel, then there is no line in $\alpha$ that is parallel to $\beta$;  
④ If $\alpha \cap \beta = n$ and $m \parallel n$, then $m \parallel \alpha$ and $m \parallel \beta$;  
⑤ If $m \parallel n$ and $\alpha \parallel \beta$, then the angle formed by $m$ and $\alpha$ is equal to the angle formed by $n$ and $\beta$.  
Among these propositions, the true ones are \_\_\_\_\_\_ . (Fill in the numbers of all correct propositions)

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