I agree with @Aaron Stevens. There are no built in assumptions of constant pressure or temperature in these definitions.

The Hemlholtz free energy, Gibbs free energy, Enthalpy and Internal Energy are sometimes referred to as thermodynamic potentials. For a discussion of these check out

http://hyperphysics.phy-astr.gsu.edu/hbase/thermo/helmholtz.html

Hope this helps.

I agree with this answer. There are no built in assumptions of constant pressure or temperature in these definitions.

The Hemlholtz free energy, Gibbs free energy, Enthalpy and Internal Energy are sometimes referred to as thermodynamic potentials. For a discussion of these check out

http://hyperphysics.phy-astr.gsu.edu/hbase/thermo/helmholtz.html

Hope this helps.