let a, b, n be Nat; :: thesis: (GenFib a,b,(n + 1)) + (GenFib a,b,(n + 2)) = GenFib a,b,(n + 3)
(GenFib a,b,(n + 1)) + (GenFib a,b,(n + 2)) =
GenFib a,b,(((n + 1) + 1) + 1)
by Th32
.=
GenFib a,b,(n + 3)
;
hence
(GenFib a,b,(n + 1)) + (GenFib a,b,(n + 2)) = GenFib a,b,(n + 3)
; :: thesis: verum