theorem
Lemma2112.ell_eq_one_iff_principal
{C : Type u_1}
{F : Type u_2}
{k : Type u_3}
[Field k]
[Field F]
[Algebra k F]
[RiemannRochData C F k]
(D : CurveDivisor C)
(hdeg : (CurveDivisor.degree C) D = 0)
:
(Lemma 21.12) A divisor $D$ of degree $0$ has $\ell(D) = 1$ iff $D$ is principal.