even rigol says "break the rules"!

btw. why would anyone be surprised to see this scope has less bandwidth when u use 4 or 3 channels?

you have that data in scope datasheet on rigol web
Analog channel: 1 GSa/s (single-channel),
500 MSa/s (dual-channel), 250 MSa/s (three/four-channel)
and simillar goes for memory depth. more channels=less bandw. and memory depth.
you're not looking at a system that has 4 totally separate processors where each has 1gs samplign rate. you're looking at system with 4 inputs but just one part that is doing all that 1gs processing....so when you use all 4 inputs bandwidth falls to 1/4th.
beyond 25mhz on 4 ch sure u can use it, but you don't know what you'll be looking at ie which alias of what....

long time ago i had some nice illustrations of aliasing that would really make this very clear to pascal_sweden (and maybe others) but who's gonna find those now?

but he could just imagine a grid of vertical lines(ie sampling) layed over the sinusoid signal(signal to be sampled), and then what will happen when few sinusoid periods span just 2 vertical lines and you never know at which signal amplitude you'll take that sample.
and how you can't really reconstruct that signal (you sampled) because you lack denseness of that vert. grid...
edit/added/found that aliasing illustration...

alan2k, if you saw this
you'll see dave uses 1/10th rule of thumb, ie for example 250ms/s equals 25mhz analog bandwidth...
pascal, you would probably use "insert image" tags and then put image url (that you just uploaded to forum) in it...ie

(i've put
https://www.eevblog.com/forum/testgear/new-rigol-ds1054z-oscilloscope/?action=dlattach;attach=112665
in img tags)