  We provide a systematic effective lagrangian description of the phenomenology
of the lightest top-partners in composite Higgs models. Our construction is
based on symmetry, on selection rules and on plausible dynamical assumptions.
The structure of the resulting simplified models depends on the quantum numbers
of the lightest top partner and of the operators involved in the generation of
the top Yukawa. In all cases the phenomenology is conveniently described by a
small number of parameters, and the results of experimental searches are
readily interpreted as a test of naturalness. We recast presently available
experimental bounds on heavy fermions into bounds on top partners: LHC has
already stepped well inside the natural region of parameter space.
