Package axiom-choice: Axiom of Choice
Information
| name | axiom-choice |
| version | 1.8 |
| description | Axiom of Choice |
| author | Joe Leslie-Hurd <joe@gilith.com> |
| license | MIT |
| provenance | HOL Light theory extracted on 2014-10-30 |
| checksum | 2178247da99e65a9a2e0a1093adbff512d1539d9 |
| requires | bool-def |
| show | Data.Bool |
Files
- Package tarball axiom-choice-1.8.tgz
- Theory source file axiom-choice.thy (included in the package tarball)
Theorem
⊦ ∀p x. p x ⇒ p ((select) p)
External Type Operators
- →
- bool
External Constants
- =
- select
- Data
- Bool
- ∀
- ∧
- ⇒
- ⊤
- Bool
Assumptions
⊦ AXIOM OF CHOICE
⊦ ⊤ ⇔ (λp. p) = λp. p
⊦ (∀) = λp. p = λx. ⊤
⊦ (⇒) = λp q. p ∧ q ⇔ p
⊦ (∧) = λp q. (λf. f p q) = λf. f ⊤ ⊤