Wow - an amazing and incredibly insightful response. Thank you for this. Would you mind if I shared your insight on my blog? The explanation you provided is sublime :)
It is the most common way of explaining an aspect of the relationship between Atman (the individual self) and Brahman (Universal Self) in Advaita Vedanta school of Hinduism. https://www.indianetzone.com/38/ayam_atma_brahma.htm