Agree or disagree

Suppose Field[x, y] = {m[x, y], n[x, y]} has exactly two singularities in the region R enclosed by a closed curve C. Also suppose thatC1is a closed curve running totally within R. If Field[x, y] has no sinks, sources, or singularities between C andSubscript[C, 1], then the net flow of Field[x, y] across C equals the net flow of Field[x, y] acrossC1.