For example imagine the situation where i have one unspent output valued at 0.5 XMR
In another wallet i also have another unspent output valued at 0.5 XMR
even thought these outputs share the same values they have different history's
when i construct a range proof for these outputs separately will the range proof be the same? or does the range proof generate uniquely based on the output you are using?
By same i mean that the data the range proof is constructed from is an exact match in the two cases with no data differing.