Package list-quant-def: list-quant-def

Information

namelist-quant-def
version1.10
descriptionlist-quant-def
authorJoe Hurd <joe@gilith.com>
licenseHOLLight
provenanceHOL Light theory extracted on 2011-07-20
showData.Bool

Files

Defined Constants

Theorems

(P. Data.List.all P Data.List.[] T)
  P h t. Data.List.all P (Data.List.:: h t) P h Data.List.all P t

(P. Data.List.exists P Data.List.[] F)
  P h t.
    Data.List.exists P (Data.List.:: h t) P h Data.List.exists P 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)