
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
Among the following four propositions, indicate the sequence number(s) of the true proposition(s).

1. For all $n \in \mathbb{R}$, $n^2 \geq n$;
2. For all $n \in \mathbb{R}$, $n^2 < n$;
3. For all $n \in \mathbb{R}$, there exists an $m \in \mathbb{R}$ such that $m^2 < n$;
4. There exists an $n \in \mathbb{R}$ such that for all $m \in \mathbb{R}$, $mn = m$.

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