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Plain-language statement
Conditional multidistance is unchanged when both the random variables and their conditioning variables are reindexed along an equality . As with ordinary multidistance, the value does not depend on the chosen equal presentation of the finite index type.
Source project: Polynomial Freiman-Ruzsa project
Person-level attribution pending.
multiDist_of_cast
Plain-language statement
Multidistance is unchanged when a finite family of random variables is reindexed along an equality . This says that the quantity depends on the family, not on the particular equal presentation of its finite index type.
Source project: Polynomial Freiman-Ruzsa project
Person-level attribution pending.
ProbabilityTheory.iIndepFun.sum_elim
Plain-language statement
Two internally independent families remain jointly independent after they are combined over a disjoint union, provided the two family-valued random variables are independent of one another.
Source project: Polynomial Freiman-Ruzsa project
Person-level attribution pending.