non, cf. extrait du gatherer :
01/12/2004 Any restrictions on the mana in your mana pool aren’t copied. For example, if you have [Colorless] [White] [White] [Black] with no restrictions on it in your mana pool and [Blue] [Blue] [Blue] that can be used only to cast artifact spells, you’ll end up with [Colorless] [Colorless] [White] [White] [White] [White] [Black] [Black] , [Blue] [Blue] [Blue] that can be used only to cast artifact spells, and [Blue] [Blue] [Blue] that can be used for anything.