 y" := (plus x y).

Lemma bigA_distr_bigA (I J : finType) F :
  \big[*%M/1]_(i : I) \big[+%M/0]_(j : J) F i j
  = \big[+%M/0]_(f : {ffun I -> J}) \big[*%M/1]_i F i (f i).
Admitted.

End Distributivity.
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