Package bool-int-or-dist: bool-int-or-dist

Information

Files

• Package tarball bool-int-or-dist-1.0.tgz
• Theory file bool-int-or-dist.thy (included in the package tarball)

Theorems

⊦ ∀p q r. p ∧ (q ∨ r) ⇔ p ∧ q ∨ p ∧ r

⊦ ∀p q r. (p ∨ q) ∧ r ⇔ p ∧ r ∨ q ∧ r

Input Type Operators

• →
• bool

Input Constants

• =
• Data
  • Bool
    • ∀
    • ∧
    • ⇒
    • ∨
    • T

Assumptions

⊦ T

⊦ (∀) = λP. P = λx. T

⊦ (⇒) = λp q. p ∧ q ⇔ p

⊦ (∧) = λp q. (λf. f p q) = λf. f T T

⊦ (∨) = λp q. ∀r. (p ⇒ r) ⇒ (q ⇒ r) ⇒ r