
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 the following propositions:<br/>① If a plane passes through the perpendicular of another plane, then the two planes are perpendicular to each other;<br/>② If two straight lines in a plane are parallel to another plane, then the two planes are parallel to each other;<br/>③ If one of two parallel lines is perpendicular to line $m$, then the other line is also perpendicular to line $m$;<br/>④ If two planes are perpendicular, then a line in one plane that is not perpendicular to their intersection line is also not perpendicular to the other plane.<br/>The numbers of the true propositions are ____.

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