
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 about a prism:
① If two lateral faces are perpendicular to the base, then the prism is a right prism;
② If the sections through opposite lateral edges are both perpendicular to the base, then the prism is a right prism;
③ If all four lateral faces are pairwise congruent, then the prism is a right prism;
④ If the four diagonals of the prism are pairwise equal, then the prism is a right prism.
Among these, the true propositions are     (write down the numbers of all true propositions).

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