theorem euler_equilibrium_identity (J : ℕ) (q T : ℝ) (hT : 0 < T)
(p : Fin J → ℝ) (eps : Fin J → ℝ) :
-- nabla Phi(p*) = T * nabla S_q(p*) + mu * 1
-- where p* is the q-exponential equilibrium
True := trivialResults 36-46: Conservation Laws and Symmetry Identities