  It is known that the balance laws of hyperelasticity (Green elasticity),
i.e., conservation of mass and balance of linear and angular momenta, can be
derived using the first law of thermodynamics by postulating its invariance
under rigid body motions of the Euclidean ambient space -- the
Green-Naghdi-Rivlin theorem. In the case of a non-Euclidean ambient space,
covariance of the energy balance -- its invariance under arbitrary
diffeomorphisms of the ambient space -- gives all the balance laws and the
Doyle-Ericksen formula -- the Marsden-Hughes theorem. In this note, we show
that the constitutive equations as well as the balance laws of hyperelasticity
can be derived using the first and second laws of thermodynamics without
assuming any invariance.
