Translations for irremediably in French

Here are paragraphs from public domain books translated:

Victor rested his head on his hands and reflected. He felt that he was lost, irremediably lost, and, at the same time, a sense of weariness and depression overcame him. He murmured, faintly:	Victor s’étreignit la tête de ses deux mains et réfléchit. Il se sentait perdu, en effet, irrémédiablement perdu, et, en même temps, une grande fatigue l’envahissait, un immense besoin de repos et d’abandon. Il murmura :
The Extraordinary Adventures of Arsene Lupin, Gentleman Burglar, by Maurice Leblanc	Arsène Lupin gentleman-cambrioleur, de Maurice Leblanc