To get Double Defense the intended way, one must get the Golden Gauntlets and lift the rock out of the way to enter the Great Fairy Fountain. Using a Recoil Boost, however, allows one to skip the requirement of Golden Gauntlets, instead just requiring Hover Boots and the ability to crouch stab.
Get into the corner between the cliff and the rock, and align the right hand side of the B button with the edge of the cliff in front of you. Crouch stab the wall, and on the frame that you move backwards (also the second frame that sparks from your sword are visible), equip the Hover Boots. Unpause after equipping the Hover Boots, still holding your shield up and left on the analogue stick. You will then slide into the loading zone and will be able to get Double Defense provided you have Zelda's Lullaby as well as magic.
It is also possible to clip by Supersliding into the corner, as opposed to doing a Recoil Boost.