Package list-length-def: list-length-def
Information
| name | list-length-def |
| version | 1.12 |
| description | list-length-def |
| author | Joe Hurd <joe@gilith.com> |
| license | HOLLight |
| provenance | HOL Light theory extracted on 2011-09-21 |
| show | Data.Bool |
Files
- Package tarball list-length-def-1.12.tgz
- Theory file list-length-def.thy (included in the package tarball)
Defined Constant
- Data
- List
- Data.List.length
- List
Theorem
⊦ Data.List.length Data.List.[] = 0 ∧
∀h t.
Data.List.length (Data.List.:: h t) =
Number.Natural.suc (Data.List.length t)
Input Type Operators
- →
- bool
- Data
- List
- Data.List.list
- List
- Number
- Natural
- Number.Natural.natural
- Natural
Input Constants
- =
- select
- Data
- Bool
- ∀
- ∧
- ⇒
- ∃
- T
- List
- Data.List.::
- Data.List.[]
- Bool
- Number
- Natural
- Number.Natural.suc
- Number.Natural.zero
- Natural
Assumptions
⊦ T
⊦ (∃) = λP. P ((select) P)
⊦ (∀) = λp. p = λx. T
⊦ (⇒) = λp q. p ∧ q ⇔ p
⊦ (∧) = λp q. (λf. f p q) = λf. f T T
⊦ ∀NIL' CONS'.
∃fn.
fn Data.List.[] = NIL' ∧
∀a0 a1. fn (Data.List.:: a0 a1) = CONS' a0 a1 (fn a1)