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

question 27

Short Answer

Prove that all 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 $n \geq 3$

---

Definitions:

Diamond Frame

The conventional design for bicycle frames, characterized by two triangles forming a diamond shape.

Twist Frame

A term possibly related to structures or vehicles that refers to a frame designed to accommodate or resist torsional forces or twisting motion.

Snowplow

A vehicle or device equipped with a large blade at the front used to remove snow from surfaces such as roads and driveways.

Shear Forces

Forces that cause parts of a material to slide past one another in opposite directions, related to the internal forces acting on a structure.