let x1, x2, x3, x4, x5, x6, x7 be non pair set ; :: thesis: InputVertices (STC0Str (x1,x2,x3,x4,x5,x6,x7)) is without_pairs
InputVertices (STC0Str (x1,x2,x3,x4,x5,x6,x7)) = {x1,x2,x3,x4,x5,x6,x7} by ThSTC0S4;
hence InputVertices (STC0Str (x1,x2,x3,x4,x5,x6,x7)) is without_pairs ; :: thesis: verum