So I just learned that complex numbers cannot be ordered from Total ordering on complex numbers.
Now, does this mean that 4 - 3i < 4 + 4i isn't true? I haven't really seen any concrete examples and I don't even get what the proof means, but I know it makes sense - I just can't relate to it.
In short, what are some concrete examples of this theorem? What is also a walkthrough of the theorem?