Forum:Mobius + Bottomless trap hole

Lets say my opponent has a "Bottomless Trap Hole" face-down. I summon Mobius, The Frost Monarch" and activate his effect to destroy the face-down "Bottomless Trap Hole". Can my opponent use "Bottomless Trap Hole" against the summon of my Mobius, or does the effect of Mobius destroy the face-down card before it is activated?