Prove That the Distributive Law Is True for All $n \geq 3$

question 18

Essay

Prove that the distributive law $A _ { 1 } \cap \left( A _ { 2 } \cup \cdots \cup A _ { n } \right) = \left( A _ { 1 } \cap A _ { 2 } \right) \cup \cdots \cup \left( A _ { 1 } \cap A _ { n } \right)$ is true for all $n \geq 3$

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