Package list-member-def: list-member-def

Information

namelist-member-def
version1.12
descriptionlist-member-def
authorJoe Hurd <joe@gilith.com>
licenseHOLLight
provenanceHOL Light theory extracted on 2011-09-21
showData.Bool

Files

Defined Constant

Theorem

(x. Data.List.member x Data.List.[] F)
  x h t.
    Data.List.member x (Data.List.:: h t) x = h Data.List.member x t

Input Type Operators

Input Constants

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

() = λP. q. (x. P x q) q

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