Quelle lattices.prf Sprache: Lisp

(lattices
(finite_set_is_tightly_bounded 0
  (finite_set_is_tightly_bounded-1 nil 3314557049
   ("" (skolem!)
    (("" (typepred "<=")
      (("" (expand* "tightly_bounded?" "lattice?")
        (("" (prop)
          (("1" (expand "upper_semilattice?")
            (("1" (flatten) (("1" (inst?) nil nil)) nil)) nil)
           ("2" (expand "lower_semilattice?")
            (("2" (flatten) (("2" (inst?) nil nil)) nil)) nil))
          nil))
        nil))
      nil))
    nil)
   ((<= formal-const-decl "(lattice?[T])" lattices nil)
    (lattice? const-decl "bool" bounded_orders nil)
    (pred type-eq-decl nil defined_types nil)
    (T formal-type-decl nil lattices nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (boolean nonempty-type-decl nil booleans nil)
    (set type-eq-decl nil sets nil)
    (is_finite const-decl "bool" finite_sets nil)
    (finite_set type-eq-decl nil finite_sets nil)
    (empty? const-decl "bool" sets nil)
    (non_empty_finite_set type-eq-decl nil finite_sets nil)
    (upper_semilattice? const-decl "bool" bounded_orders nil)
    (lower_semilattice? const-decl "bool" bounded_orders nil)
    (tightly_bounded? const-decl "bool" bounded_orders nil))
   nil))
(add_preserves_tightly_bounded 0
  (add_preserves_tightly_bounded-1 nil 3314627436
   ("" (skolem-typepred)
    (("" (expand "tightly_bounded?") (("" (ground) nil nil)) nil)) nil)
   ((add_preserves_greatest_bounded_below application-judgement
     "(LAMBDA (S: set[T]): greatest_bounded_below?(S, <=))" lattices
     nil)
    (add_preserves_bounded_below application-judgement
     "(LAMBDA (S: set[T]): bounded_below?(S, <=))" lattices nil)
    (add_preserves_least_bounded_above application-judgement
     "(LAMBDA (S: set[T]): least_bounded_above?(S, <=))" lattices nil)
    (add_preserves_bounded_above application-judgement
     "(LAMBDA (S: set[T]): bounded_above?(S, <=))" lattices nil)
    (<= formal-const-decl "(lattice?[T])" lattices nil)
    (lattice? const-decl "bool" bounded_orders nil)
    (tightly_bounded? const-decl "bool" bounded_orders nil)
    (pred type-eq-decl nil defined_types nil)
    (set type-eq-decl nil sets nil)
    (T formal-type-decl nil lattices nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (boolean nonempty-type-decl nil booleans nil))
   nil))
(union_preserves_tightly_bounded 0
  (union_preserves_tightly_bounded-1 nil 3314627436
   ("" (skolem-typepred)
    (("" (expand "tightly_bounded?") (("" (ground) nil nil)) nil)) nil)
   ((union_preserves_greatest_bounded_below application-judgement
     "(LAMBDA (S: set[T]): greatest_bounded_below?(S, <=))" lattices
     nil)
    (union_preserves_bounded_below application-judgement
     "(LAMBDA (S: set[T]): bounded_below?(S, <=))" lattices nil)
    (union_preserves_least_bounded_above application-judgement
     "(LAMBDA (S: set[T]): least_bounded_above?(S, <=))" lattices nil)
    (union_preserves_bounded_above application-judgement
     "(LAMBDA (S: set[T]): bounded_above?(S, <=))" lattices nil)
    (<= formal-const-decl "(lattice?[T])" lattices nil)
    (lattice? const-decl "bool" bounded_orders nil)
    (tightly_bounded? const-decl "bool" bounded_orders nil)
    (pred type-eq-decl nil defined_types nil)
    (set type-eq-decl nil sets nil)
    (T formal-type-decl nil lattices nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (boolean nonempty-type-decl nil booleans nil))
   nil)))

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Beweissystem der NASA

Beweissystem Isabelle

NIST Cobol Testsuite

Cephes Mathematical Library

Wiener Entwicklungsmethode

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