
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 that $m$ and $n$ are distinct lines, and $\alpha$ and $\beta$ are non-coincident planes, consider the following propositions:
1. If $\alpha \parallel \beta$, $m \subseteq \alpha$, and $n \subseteq \beta$, then $m \parallel n$.
2. If $m$, $n \subseteq \alpha$, $m \parallel \beta$, and $n \parallel \beta$, then $\alpha \parallel \beta$.
3. If $m \perp \alpha$, $n \perp \beta$, and $m \parallel n$, then $\alpha \parallel \beta$.
4. If $m$ and $n$ are skew lines, and $m \parallel \alpha$, $m \parallel \beta$, $n \parallel \alpha$, and $n \parallel \beta$, then $\alpha \parallel \beta$.

Among the above propositions, identify the sequence numbers of the true propositions.

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