Naj bo ▫$D \Subset \mathbb{C}^N$▫ območje z gladkim robom in končnega 1-tipa v točki ▫$p \in bD$▫. Če ima ▫$\overline{D}$▫ bazo Steinovih Rungejevih okolic in če obstaja analitičen disk, ki seka ...▫$\overline{D}$▫ natanko v točki ▫$p$▫, potem za vsako odprto Riemannovo ploskev ▫$S$▫ obstaja prava holomorfna preslikava iz ▫$S$▫ v ▫$\mathbb{C}^N$▫, ki seka ▫$\overline{D}$▫ natanko v točki ▫$p$▫.
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