
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 a quadratic function $y=x^{2}-4x+n$ ($n$ is a constant), if for any two points $A(x_{1}, y_{1})$ and $B(x_{2}, y_{2})$ on the parabola, $y_{1} \gt y_{2}$, derive the relationship that $x_{1}$ and $x_{2}$ should satisfy.

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