
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:

1. The monotonically increasing interval of the function $y=\sin (-2x+ \frac {π}{3})$ is $[-kπ- \frac {π}{12},-kπ+ \frac {5π}{12}](k∈Z)$.
2. To obtain the graph of the function $y=\cos (x- \frac {π}{6})$, move all points on the graph of $y=\sin x$ to the left by $\frac {π}{3}$ units.
3. The function $f(x)=2\cos ^{2}x-2a\cos x+3$ has a minimum value of $g(a)=5+2a$ when $a\leqslant -2$.
4. The function $y=\sin ωx(ω > 0)$ has at least 100 minimum values on $[0,1]$, then $ω\geqslant \frac {399}{2}π.$
5. The domain of the function $y=\lg (1-\tan x)$ is $(kπ- \frac {π}{2},kπ+ \frac {π}{4})(k∈Z)$.

Fill in the blanks with the sequence numbers of all correct propositions.

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