I am looking for a reference stating that

>Any minimal graph $z=f(x,y)$ over a convex domain $D$ is area-minimizing.

* 5.4.18 in Federer's "Geometric measure theory" and Lemma 1.1. in Colding--Minicozzi's "A Course in Minimal Surfaces" state that it is true *with respect to $D\times \mathbb R$*.

* 6.1 in Morgan's  "Geometric measure theory" states it right, but (at least formally) the proof works only for oriented surfaces.