a pair of transformation rules that are both valid rules of inference

In propositional logic and boolean algebra, De Morgan's laws are a pair of transformation rules that are both valid rules of inference.

a pair of transformation rules

In propositional logic and boolean algebra, De Morgan's laws are a pair of transformation rules that are both valid rules of inference.

In propositional logic and Boolean algebra as De Morgan's theorem,[4

In propositional logic and Boolean algebra, De Morgan's laws,[1][2][3] also known as De Morgan's theorem,[4] are a pair of transformation rules that are both valid rules of inference.

This equivalence

This equivalence is called De Morgan’s Law.

that (A ∪ B)′ =

For example, one of De Morgan's laws states that (A ∪ B)′ =

logic rules

De Morgan’s laws codify logic rules for conjunctions: ‘and’, ‘or’, ‘nor’, and the adverb ‘not’.

formal logic regarding the negation of pairs of logical operators

De Morgan's laws apply to formal logic regarding the negation of pairs of logical operators.

a powerful example of refactoring applied to if statements

De Morgan laws are a powerful example of refactoring applied to if statements.

electrical and computer engineering

In electrical and computer engineering, De Morgan's laws are commonly written as:

In propositional logic and Boolean algebra as De Morgan's theorem,[4

In propositional logic and Boolean algebra, De Morgan's laws,[1][2][3] also known as De Morgan's theorem,[4] are a pair of transformation rules that are both valid rules of inference.

De Morgan

De Morgan introduced De Morgan's laws and the Centuries's greatest contribution is as a reformer of mathematical logic.

and disjunctions of propositions through negation

In propositional logic, De Morgan's Laws relate conjunctions and disjunctions of propositions through negation.

the three basic set operations Union,

De Morgan’s laws relate the three basic set operations Union, Intersection and Complement.

the interpretation of expressions involving the boolean operators

De Morgan’s laws define the interpretation of expressions involving the boolean operators: and, or, not.

the Or operators

De Morgan's Laws are based on the relationship between the And and the Or operators.

transformation rules for two of the basic operators of logic: conjunction and disjunction

De Morgan‘s laws are merely transformation rules for two of the basic operators of logic: conjunction and disjunction.

the structure of the sentence

De Morgan's Law lay down the structure of the sentence as opposed to the content.

of set theory that are now known as 'de Morgan's laws'

De Morgan proposes two laws of set theory that are now known as 'de Morgan's laws'.

a similar structure for logical propositions

De Morgan's Laws follow a similar structure for logical propositions.

which enable us to convert circuits between NAND and NOR quite easily

These are examples of De Morgan’s Laws, which enable us to convert circuits between NAND and NOR quite easily, but also introduces a notion of ‘Negative Logic’.