Package bool-ext: Extensional boolean theorems
Information
| name | bool-ext |
| version | 1.8 |
| description | Extensional boolean theorems |
| author | Joe Hurd <joe@gilith.com> |
| license | HOLLight |
| provenance | HOL Light theory extracted on 2011-11-12 |
| requires | axiom-extensionality bool-def bool-int |
| show | Data.Bool |
Files
- Package tarball bool-ext-1.8.tgz
- Theory file bool-ext.thy (included in the package tarball)
Theorems
⊦ ∀f g. (∀x. f x = g x) ⇔ f = g
⊦ ∀f g. (∀x. f x = g x) ⇒ f = g
Input Type Operators
- →
- bool
Input Constants
- =
- Data
- Bool
- ∀
- ∧
- ⇒
- ⊤
- Bool
Assumptions
⊦ ⊤
⊦ ∀t. t ⇒ t
⊦ ∀t. (λx. t x) = t
⊦ (∀) = λp. p = λx. ⊤
⊦ (⇒) = λp q. p ∧ q ⇔ p
⊦ (∧) = λp q. (λf. f p q) = λf. f ⊤ ⊤