Is ZFC with existence of Grothendieck universe (variant: Grothendieck universe containing every given set) provable in ZFC to be equiconsistent with ZFC?
If not, what else it may be equiconsistent with? (And in which formalistic it may be proved?)
Is ZFC with existence of Grothendieck universe (variant: Grothendieck universe containing every given set) provable in ZFC to be equiconsistent with ZFC?
If not, what else it may be equiconsistent with? (And in which formalistic it may be proved?)