  Density functional theory has become the workhorse of quantum physics,
chemistry, and materials science. Within these fields, a broad range of
applications needs to be covered. These applications range from solids to
molecular systems, from organic to inorganic chemistry, or even from electrons
to other fermions such as protons or muons. This is emphasized by the plethora
of density functional approximations that have been developed for various
cases. In this work, a new local hybrid exchange-correlation density functional
is constructed from first principles, promoting generality and transferability.
We show that constraint satisfaction can be achieved even for admixtures with
full exact exchange, without sacrificing accuracy. The performance of the new
functional for electronic structure theory is assessed for thermochemical
properties, excitation energies, M\"ossbauer isomer shifts, NMR spin-spin
coupling constants, NMR shieldings and shifts, magnetizabilities, EPR hyperfine
coupling constants, and EPR g-tensors. The new density functional shows a
robust performance throughout all tests and is numerically robust only
requiring small grids for converged results. Additionally, the functional can
be easily generalized to arbitrary fermions as shown for electron-proton
correlation energies. Therefore, we outline that density functionals generated
in this way are general purpose tools for quantum mechanical studies.
