Yes, in my studies of AGI and the human mind and brain, i see this logic all the time. Even in temporal patterns. Like i have this noisy sine wave pattern with a recorded length of ten seconds. Take a pure un noisy sine wave of ten seconds long, "the simple pattern", and subtract the two to get out just the noise. Then check it for any sub patterns. Could keep going down to atomic vibrations. Both given sine waves are in phase. I see this in jpeg image compression, too.
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