Power Set of Intersection Equals Intersection of Power Sets | Set Theory скачать в хорошем качестве

Power Set of Intersection Equals Intersection of Power Sets | Set Theory

We'll prove that P(A intersect B) = P(A) intersect P(B). That is, the power set of an intersection is the intersection of the power sets! Just as beautiful as we would hope! We prove this the usual way, first proving P(A intersect B) is a subset of P(A) intersect P(B) and then that P(A) intersect P(B) is a subset of P(A intersect B). It's all in the definitions! And the beauty of nature! #SetTheory #MathOutside What are Power Sets:    • What is a Power Set? | Set Theory, Subsets...   Set Intersection:    • What is an Intersection? (Set Theory)   Another Power Set Subset Proof:    • Proof: If A is a Subset of B then P(A) is ...   ★DONATE★ ◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits:   / wrathofmathlessons   ◆ Donate on PayPal: https://www.paypal.me/wrathofmath Thanks to Robert Rennie and Barbara Sharrock for their generous support on Patreon! Thanks to Crayon Angel, my favorite musician in the world, who upon my request gave me permission to use his music in my math lessons: https://crayonangel.bandcamp.com/ Follow Wrath of Math on... ● Instagram:   / wrathofmathedu   ● Facebook:   / wrathofmath   ● Twitter:   / wrathofmathedu   My Music Channel:    / @emery3050