let a, b, n be Nat; :: thesis: (GenFib a,b,n) + (GenFib a,b,(n + 1)) = GenFib a,b,(n + 2)
(GenFib a,b,n) + (GenFib a,b,(n + 1)) =
GenFib a,b,((n + 1) + 1)
by Th32
.=
GenFib a,b,(n + 2)
;
hence
(GenFib a,b,n) + (GenFib a,b,(n + 1)) = GenFib a,b,(n + 2)
; :: thesis: verum