Analytic discs in pseudoconvex submanifolds of CN of higher codimension

We prove that a small analytic disc A "attached" to a pseudoconvex submanifold M of C-N and which shares a conormal with M at some boundary point, is in fact contained in M. The proof uses an argument of "reduction to a hypersurface" by a symplectic complex transformation. The result is classical in case cod M = 1 ( cf. e.g. [4]); it is a consequence of Hopf's Lemma applied to a plurisubharmonic defining function of M as in [ 5]. It was already generalized to the higher codimension in [ 8] but under the additional assumption, in the present paper, that A has an analytic "lift" A* in T * X "attached" to T * T-M*X ( i.e. A has "defect" >= 1 in the terminology of [ 6], [ 7]).