  A new technique is developed for the derivation of the Wess-Zumino-Witten
terms of gauged chiral lagrangians. We start in D=5 with a pure (mesonless)
Yang-Mills theory, which includes relevant gauge field Chern-Simons terms. The
theory is then compactified, and the effective D=4 lagrangian is derived using
lattice techniques, or ``deconstruction,'' where pseudoscalar mesons arise from
the lattice Wilson links. This yields the WZW term with the correct Witten
coefficient by way of a simple heuristic argument. We discover a novel WZW term
for singlet currents, that yields the full Goldstone-Wilczek current, and a
U(1) axial current for the skyrmion, with the appropriate anomaly structures. A
more detailed analysis is presented of the dimensional compactification of
Yang-Mills in D=5 into a gauged chiral lagrangian in D=4, heeding the
consistency of the D=4 and D=5 Bianchi identities. These dictate a novel
covariant derivative structure in the D=4 gauge theory, yielding a field
strength modified by the addition of commutators of chiral currents. The
Chern-Simons term of the pure D=5 Yang-Mills theory then devolves into the
correct form of the Wess-Zumino-Witten term with an index (the analogue of
N_{colors}=3) of N=D=5. The theory also has a Skyrme term with a fixed
coefficient.
