True (⊤)

The logical constant representing truth - always true

⊤ means "true" or "tautology"
The Logical Constant True

True (⊤) is a logical constant that always has the truth value true, regardless of any other conditions.

Properties:

  • • Always evaluates to true
  • • P ∨ ⊤ is always true (regardless of P)
  • • P ∧ ⊤ simplifies to just P

Related Concepts

Understanding this concept connects to these important logical concepts: