Package unit-def: Definition of the unit type
Information
| name | unit-def |
| version | 1.4 |
| description | Definition of the unit type |
| author | Joe Hurd <joe@gilith.com> |
| license | HOLLight |
| provenance | HOL Light theory extracted on 2011-09-21 |
| requires | bool |
| show | Data.Bool |
Files
- Package tarball unit-def-1.4.tgz
- Theory file unit-def.thy (included in the package tarball)
Defined Type Operator
- Data
- Unit
- Data.Unit.unit
- Unit
Defined Constant
- Data
- Unit
- Data.Unit.()
- Unit
Theorem
⊦ ∀v. v = Data.Unit.()
Input Type Operators
- →
- bool
Input Constants
- =
- select
- Data
- Bool
- ∀
- ∧
- ⇒
- ∃
- ¬
- F
- T
- Bool
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)