  We continue the development of the infinitesimal deformation theory of
pasting diagrams of k-linear categories begun in Yetter, D.N. "On Deformations
of Pasting Diagrams", Theory and Applications of Categories 22 (2009) 24-53. In
that paper, the standard result that all obstructions are cocycles was
established only for the elementary, composition-free parts of pasting
diagrams. In the present work we give a proof for pasting diagrams in general.
As tools we use (1) the method developed by Shrestha, in his Kansas State
University doctoral dissertation, of representing formulas for obstructions,
along with the corresponding cocycle and cobounding conditions by suitably
labeled polygons, giving a rigorous exposition of the previously heuristic
method, and (2) deformations of pasting diagrams in which some cells are
required to be deformed trivially.
