Package bool-choice-exists: bool-choice-exists

Information

Files

• Package tarball bool-choice-exists-1.0.tgz
• Theory file bool-choice-exists.thy (included in the package tarball)

Theorem

⊦ (∃) = λP. P ((select) P)

Input Type Operators

• →
• bool

Input Constants

• =
• Data
  • Bool
    • ∀
    • ∧
    • ⇒
    • ∃
    • select
    • T

Assumptions

⊦ T

⊦ ∀t. (λx. t x) = t

⊦ (∀) = λP. P = λx. T

⊦ (⇒) = λp q. p ∧ q ⇔ p

⊦ ∀P x. P x ⇒ P ((select) P)

⊦ (∧) = λp q. (λf. f p q) = λf. f T T

⊦ (∃) = λP. ∀q. (∀x. P x ⇒ q) ⇒ q

⊦ ∀f g. (∀x. f x = g x) ⇒ f = g