Package list-quant-def: Definition of list quantifiers

Information

namelist-quant-def
version1.28
descriptionDefinition of list quantifiers
authorJoe Hurd <joe@gilith.com>
licenseHOLLight
provenanceHOL Light theory extracted on 2012-02-10
requiresbool
list-def
showData.Bool
Data.List

Files

Defined Constants

Theorems

p. all p []

p. ¬exists p []

p h t. all p (h :: t) p h all p t

p h t. exists p (h :: t) p h exists p t

Input Type Operators

Input Constants

Assumptions

() = λp. p ((select) p)

() = λp. p = λx.

t. (t ) t

t. (t ) ¬t

() = λp q. p q p

() = λp q. (λf. f p q) = λf. f

() = λp. q. (x. p x q) q

p. (x. y. p x y) y. x. p x (y x)

NIL' CONS'.
    fn. fn [] = NIL' a0 a1. fn (a0 :: a1) = CONS' a0 a1 (fn a1)