for f, g being nonpair-yielding FinSequence
for n being Nat holds
( InputVertices ((n + 1) -BitAdderStr (f,g)) = (InputVertices (n -BitAdderStr (f,g))) \/ ((InputVertices (BitAdderWithOverflowStr ((f . (n + 1)),(g . (n + 1)),(n -BitMajorityOutput (f,g))))) \ {(n -BitMajorityOutput (f,g))}) & InnerVertices (n -BitAdderStr (f,g)) is Relation & InputVertices (n -BitAdderStr (f,g)) is without_pairs )