Mathematics, 20.11.2019 00:31, vorhees2406

Let a1, a2, an be sets and a = {a1, a2, an}.
[n i=1 ai = a1 ∪ a2 ∪ ∪ an \n i=1 ai = a1 ∩ a2 ∩ ∩ an]
let a, b1, b2, bn be sets.
prove the following theorems (generalized distributive laws for sets).
you may use the distributive law previously given to you as a base case.

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Let a1, a2, an be sets and a = {a1, a2, an}.
[n i=1 ai = a1 ∪ a2 ∪ ∪ an \n i=1 ai = a1 ∩ a...