Second De Morgan’s Law
Second De Morgan’s law states that “The complement of intersection of two sets is equal to the union of the complements of each set.”
Let A and B be two sets, then mathematically First De Morgan’s Law is given as:
(A ∩ B)’ = A’ ∪ B’
Where
- U represents the Union operation between sets,
- ∩ represents intersection operation between sets, and
- ‘ represents complement operation on a set.
It is also called De Morgan’s Law of Intersection.
De Morgan’s Law – Theorem, Proofs, Formula & Examples
De Morgan’s law is the most common law in set theory and Boolean algebra as well as set theory. In this article, we will learn about De Morgan’s law, De Morgan’s law in set theory, and De Morgan’s law in Boolean algebra along with its proofs, truth tables, and logic gate diagrams. The article also includes the solved De Morgan’s Law Example and FAQs on De Morgan’s law. Let us learn about De Morgan’s law.
Table of Content
- What is De Morgan’s Law
- De Morgan’s Law in Set Theory
- First De Morgan’s Law
- Second De Morgan’s Law
- Proof Using Algebra of Sets
- De Morgan’s Law in Boolean Algebra
- De Morgan’s Law Formula
- Solved Examples on De Morgan’s Law
- Logic Applications of De Morgan’s Law