Let U=C{z1,z2,z3}

Then for the following curves in $U$, we have that $$ \gamma \sim \gamma_{1}-\gamma_{2}+\gamma_{3} $$ Furthermore, for any $f$ holomorphic in $U$, we have: $$ \oint_{g}fdz=\oint_{\gamma_{1}}fdz-\oint_{\gamma_{2}}fdz+\oint_{\gamma_{3}}fdz $$
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