Package unit-def: unit-def

Information

Files

• Package tarball unit-def-1.2.tgz
• Theory file unit-def.thy (included in the package tarball)

Defined Type Operator

• Data
  • Unit
    • Data.Unit.unit

Defined Constant

• Data
  • Unit
    • Data.Unit.()

Theorem

⊦ ∀v. v = Data.Unit.()

Input Type Operators

• →
• bool

Input Constants

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

Assumptions

⊦ T

⊦ (∃) = λP. P ((select) P)

⊦ ∀t. (∀x. t) ⇔ t

⊦ (∀) = λp. p = λx. T

⊦ ∀x. x = x ⇔ T

⊦ (⇒) = λp q. p ∧ q ⇔ p

⊦ (∧) = λp q. (λf. f p q) = λf. f T T

⊦ (∃) = λP. ∀q. (∀x. P x ⇒ q) ⇒ q

⊦ ∀t. ((T ⇔ t) ⇔ t) ∧ ((t ⇔ T) ⇔ t) ∧ ((F ⇔ t) ⇔ ¬t) ∧ ((t ⇔ F) ⇔ ¬t)