let ap, bm, cp be non pair set ; for x, y, z being set holds InputVertices (BitGFA1Str (ap,bm,cp)) misses InnerVertices (BitGFA2Str (x,y,z))
let x, y, z be set ; InputVertices (BitGFA1Str (ap,bm,cp)) misses InnerVertices (BitGFA2Str (x,y,z))
set S1 = BitGFA1Str (ap,bm,cp);
InputVertices (BitGFA1Str (ap,bm,cp)) is without_pairs
by GFACIRC1:67;
hence
InputVertices (BitGFA1Str (ap,bm,cp)) misses InnerVertices (BitGFA2Str (x,y,z))
by FACIRC_1:5, GFACIRC1:96; verum