
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 four propositions:  
① Tossing a coin twice, let event A be "both tosses result in heads" and event B be "both tosses result in tails", then events A and B are complementary events;  
② In proposition ①, events A and B are mutually exclusive events;  
③ Among 10 products, there are 3 defective ones. If 3 products are randomly selected, let event A be "at most 2 of the selected products are defective" and event B be "at least 2 of the selected products are defective", then events A and B are mutually exclusive events;  
④ If events A and B satisfy $P(A) + P(B) = 1$, then A and B are complementary events;  
⑤ If A and B are mutually exclusive events, then $\overline{A} \cup \overline{B}$ is a certain event;  
Identify all the false propositions among the above.\_\_\_\_\_\_\_\_\_\_\_\_(Write down the numbers of all false propositions)

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