presuppose [presupposed, presupposing, presupposes]◼◼◼(to assume some truth without proof) verb [UK: ˌpriː.sə.ˈpəʊz] [US: ˌpriː.səˈpoʊz]
assume [assumed, assuming, assumes]◼◼◻(to suppose to be true) verb [UK: ə.ˈsjuːm] [US: ə.ˈsuːm]Note that this theorem does not assume the existence of such an object. = Notez bien que ce théorème ne présuppose pas l'existence d'un tel objet.