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The rules can be expressed in English as:

The negation of a conjunction is the disjunction of the negations.

The negation of a disjunction is the conjunction of the negations.

The rules can be expressed in formal-languagewith two propositions P and Q as:

where:

  • ¬ is the negation operator (NOT)
  • is the conjunction operator (AND)
  • is the disjunction operator (OR)
  • ⇔ is a metalogic-1symbol meaning "can be replaced in a formal-proofwith"
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