A_{1} [<< ... [<< A_{n} <==> A_{1} [ || ] ... [ || ] A_{n} = A_{n}
x € A_{1} [ || ] ... [ || ] A_{n}
x € A_{n} [ || ] ... [ || ] A_{n}
x € A_{n}
x € A_{1} [ || ] ... [ || ] A_{n}
A_{1} [<< ... [<< A_{n} <==> A_{1} [ & ] ... [ & ] A_{n} = A_{1}
x € A_{1} [ & ] ... [ & ] A_{n}
x € A_{1}
x € A_{1} [ & ] ... [ & ] A_{n}
{a_{m},...,a_{i}}
}a_{m},...,a_{i}{
[ || ]-[ i = m --> n ][ {a_{m},..., a_{i}} ] = {a_{m},...,a_{n}}
[ & ]-[ i = m --> n ][ }a_{m},...,a_{i}{ ] = }a_{m},...,a_{n}{
x = a_{m} ==> ...(n+(-m))... ==> ( x = a_{m} || ... || x = a_{n}
x != a_{m} <== ...(n+(-m))... <== ( x != a_{m} & ... & x != a_{n}
{a_{i}}
}a_{i}{
[ || ]-[ i = m --> n ][ {a_{i}} ] = {a_{m},...,a_{n}}
[ & ]-[ i = m --> n ][ }a_{i}{ ] = }a_{m},...,a_{n}{
{a_{i},b_{i}}
}a_{i},b_{i}{
[ || ]-[ i = m --> n ][ {a_{i},b_{i}} ] = {a_{m},...,a_{n}} [ || ] {b_{m},...,b_{n}}
[ & ]-[ i = m --> n ][ }a_{i},b_{i}{ ] = }a_{m},...,a_{n}{ [ & ] }b_{m},...,b_{n}{
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