Section PShCat_char_morph_unique.
Context
{C : Category}
{F G : PreSheaf C}
(N : @Monic (PShCat C) F G)
(M : (G –≻ (Sieve_PreSheaf C))%nattrans)
(hpb : is_PullBack
(mono_morphism N) (t_morph (PSh_Terminal C) F)
M (True_PreSheaf_morphism C)
).

Theorem PShCat_char_morph_unique : M = (PShCat_char_morph N).