let a, b, n be Element of NAT ; (GenFib (a,b,(n + 2))) + (GenFib (a,b,(n + 3))) = GenFib (a,b,(n + 4))
(GenFib (a,b,(n + 2))) + (GenFib (a,b,(n + 3))) =
GenFib (a,b,((((n + 1) + 1) + 1) + 1))
by Th32
.=
GenFib (a,b,(n + 4))
;
hence
(GenFib (a,b,(n + 2))) + (GenFib (a,b,(n + 3))) = GenFib (a,b,(n + 4))
; verum