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