let G1 be _Graph; :: thesis: for G2 being removeDParallelEdges of G1 holds G1 .componentSet() = G2 .componentSet()
let G2 be removeDParallelEdges of G1; :: thesis: G1 .componentSet() = G2 .componentSet()
for v1 being Vertex of G1
for v2 being Vertex of G2 st v1 = v2 holds
G1 .reachableFrom v1 = G2 .reachableFrom v2 by Th101;
hence G1 .componentSet() = G2 .componentSet() by Th37; :: thesis: verum