
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 $m$, $n$, and $l$ are lines, and $\alpha$, $\beta$ are planes, among the following propositions, the correct one is (Fill in the number):
① If $l$ is perpendicular to two lines within plane $\alpha$, then $l \perp \alpha$;
② If $l$ is parallel to $\alpha$, then there can be an infinite number of lines within $\alpha$ parallel to $l$;
③ If $m \subset \alpha$, $l \subset \beta$, and $l \perp m$, then $\alpha \perp \beta$;
④ If $m \perp n$, and $n \perp l$ then $m \parallel l$;
⑤ If $m \subset \alpha$, $l \subset \beta$, and $\alpha \parallel \beta$, then $m \parallel l$.

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