The Hamiltonian formulation of Mimetic Gravity is formulated. Although there
are two more equations than those of general relativity, these are proved to be
the constraint equation and the conservation of energy-momentum tensor. The
Poisson brackets are then computed and closure is proved. At the end,
Wheeler-DeWitt equation was solved for a homogeneous and isotropic universe.
This was done first for a vanishing potential where agreement with the dust
case was shown, and then for a constant potential
