
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
Determine which of the following three propositions are true:

1. If a line $l$ is perpendicular to two lines within plane $\alpha$, then $l$ is perpendicular to plane $\alpha$.
2. If lines $m$ and $n$ are skew lines, and line $n$ is skew to line $l$, then line $m$ is skew to line $l$.
3. If $m$ is a line, and $\alpha$ and $\beta$ are two planes such that $\alpha \parallel \beta$, and $m \subset \alpha$, then $m \parallel \beta$.

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