Package bool-int-quant-triv: bool-int-quant-triv

Information

Files

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

Theorems

⊦ ∀t. (∀x. t) ⇔ t

⊦ ∀t. (∃x. t) ⇔ t

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. (∀x. P x ⇒ q) ⇒ q