Some of the results in subsection {* Sets *} may be interesting. But your product distribution laws are subsumed by the Sigma_XX_distrib{1,2} laws in Product_Type.thy.
As for indexed products, check the existing HOL/Library/FuncSet.thy for possible overlaps. Larry On 21 Sep 2013, at 03:08, Alessandro Coglio <cog...@kestrel.edu> wrote: > A theory of indexed products, modeled via maps and also modeled via functions. >
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