Quelle rr_rel.prf Sprache: Lisp

(rr_rel
(g_conistent_with_RR 0
  (g_conistent_with_RR-1 nil 3571750987
   ("" (skolem!)
    (("" (prop)
      (("" (expand "RR")
        (("" (prop)
          (("" (expand "rel_extension")
            (("" (prop)
              (("1" (typepred "le_T!1")
                (("1" (expand "equivalence?")
                  (("1" (prop)
                    (("1" (expand "reflexive?") (("1" (inst?) nil nil))
                      nil))
                    nil))
                  nil))
                nil)
               ("2" (typepred "le_T!1")
                (("2" (expand "equivalence?")
                  (("2" (prop)
                    (("2" (expand "symmetric?")
                      (("2" (inst?) (("2" (prop) nil nil)) nil)) nil))
                    nil))
                  nil))
                nil)
               ("3" (typepred "le_T!1")
                (("3" (expand "equivalence?")
                  (("3" (prop)
                    (("3" (expand "reflexive?") (("3" (inst?) nil nil))
                      nil))
                    nil))
                  nil))
                nil)
               ("4" (typepred "le_U!1")
                (("4" (expand "equivalence?")
                  (("4" (prop)
                    (("4" (expand "reflexive?") (("4" (inst?) nil nil))
                      nil))
                    nil))
                  nil))
                nil))
              nil))
            nil))
          nil))
        nil))
      nil))
    nil)
   ((reflexive? const-decl "bool" relations nil)
    (U formal-nonempty-type-decl nil rr_rel nil)
    (boolean nonempty-type-decl nil booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (T formal-nonempty-type-decl nil rr_rel nil)
    (PRED type-eq-decl nil defined_types nil)
    (equivalence? const-decl "bool" relations nil)
    (equivalence type-eq-decl nil relations nil)
    (symmetric? const-decl "bool" relations nil)
    (rel_extension const-decl "set[[[T, U], [T, U]]]"
     relation_extension nil)
    (RR const-decl "set[[T, U]]" rr_rel nil))
   shostak))
(f_conistent_with_RR 0
  (f_conistent_with_RR-1 nil 3572336662
   ("" (skolem!)
    (("" (prop)
      (("" (expand "RR")
        (("" (expand "rel_extension")
          (("" (prop)
            (("1" (typepred "le_T!1")
              (("1" (expand "equivalence?")
                (("1" (prop)
                  (("1" (expand "reflexive?") (("1" (inst?) nil nil))
                    nil))
                  nil))
                nil))
              nil)
             ("2" (typepred "le_U!1")
              (("2" (expand "equivalence?")
                (("2" (prop)
                  (("2" (expand "symmetric?")
                    (("2" (inst?) (("2" (prop) nil nil)) nil)) nil))
                  nil))
                nil))
              nil)
             ("3" (typepred "le_U!1")
              (("3" (expand "equivalence?")
                (("3" (prop)
                  (("3" (expand "reflexive?") (("3" (inst?) nil nil))
                    nil))
                  nil))
                nil))
              nil)
             ("4" (typepred "le_U!1")
              (("4" (expand "equivalence?")
                (("4" (prop)
                  (("4" (expand "reflexive?") (("4" (inst?) nil nil))
                    nil))
                  nil))
                nil))
              nil)
             ("5" (typepred "le_T!1")
              (("5" (expand "equivalence?")
                (("5" (prop)
                  (("5" (expand "reflexive?") (("5" (inst?) nil nil))
                    nil))
                  nil))
                nil))
              nil)
             ("6" (typepred "le_U!1")
              (("6" (expand "equivalence?")
                (("6" (prop)
                  (("6" (expand "symmetric?")
                    (("6" (inst?) (("6" (prop) nil nil)) nil)) nil))
                  nil))
                nil))
              nil)
             ("7" (typepred "le_U!1")
              (("7" (expand "equivalence?")
                (("7" (prop)
                  (("7" (expand "reflexive?") (("7" (inst?) nil nil))
                    nil))
                  nil))
                nil))
              nil)
             ("8" (typepred "le_U!1")
              (("8" (expand "equivalence?")
                (("8" (prop)
                  (("8" (expand "symmetric?")
                    (("8" (inst?) (("8" (prop) nil nil)) nil)) nil))
                  nil))
                nil))
              nil))
            nil))
          nil))
        nil))
      nil))
    nil)
   ((rel_extension const-decl "set[[[T, U], [T, U]]]"
     relation_extension nil)
    (symmetric? const-decl "bool" relations nil)
    (equivalence type-eq-decl nil relations nil)
    (equivalence? const-decl "bool" relations nil)
    (PRED type-eq-decl nil defined_types nil)
    (T formal-nonempty-type-decl nil rr_rel nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (boolean nonempty-type-decl nil booleans nil)
    (U formal-nonempty-type-decl nil rr_rel nil)
    (reflexive? const-decl "bool" relations nil)
    (RR const-decl "set[[T, U]]" rr_rel nil))
   shostak))
(RR_functional_conditional_equal_RR2 0
  (RR_functional_conditional_equal_RR2-1 nil 3572452560
   ("" (assert)
    (("" (skolem!)
      (("" (prop)
        (("1" (expand "RR2")
          (("1" (prop)
            (("1" (expand "RR")
              (("1" (prop)
                (("1" (expand "rel_extension")
                  (("1" (prop)
                    (("1" (expand "rel_inv_extension2")
                      (("1" (expand "rel_extension")
                        (("1" (prop) nil nil)) nil))
                      nil))
                    nil))
                  nil)
                 ("2" (expand "rel_extension")
                  (("2" (prop)
                    (("2" (expand "rel_inv_extension2")
                      (("2" (expand "rel_extension")
                        (("2" (prop)
                          (("1" (typepred "le_T!1")
                            (("1" (expand "equivalence?")
                              (("1"
                                (prop)
                                (("1"
                                  (expand "symmetric?")
                                  (("1"
                                    (inst?)
                                    (("1" (prop) nil nil))
                                    nil))
                                  nil))
                                nil))
                              nil))
                            nil)
                           ("2" (typepred "le_T!1")
                            (("2" (expand "equivalence?")
                              (("2"
                                (prop)
                                (("2"
                                  (expand "symmetric?")
                                  (("2"
                                    (inst?)
                                    (("2" (prop) nil nil))
                                    nil))
                                  nil))
                                nil))
                              nil))
                            nil)
                           ("3" (typepred "le_T!1")
                            (("3" (expand "equivalence?")
                              (("3"
                                (prop)
                                (("3"
                                  (expand "symmetric?")
                                  (("3"
                                    (inst?)
                                    (("3" (prop) nil nil))
                                    nil))
                                  nil))
                                nil))
                              nil))
                            nil)
                           ("4" (typepred "le_T!1")
                            (("4" (expand "equivalence?")
                              (("4"
                                (prop)
                                (("4"
                                  (expand "symmetric?")
                                  (("4"
                                    (inst?)
                                    (("4" (prop) nil nil))
                                    nil))
                                  nil))
                                nil))
                              nil))
                            nil))
                          nil))
                        nil))
                      nil))
                    nil))
                  nil)
                 ("3" (expand "rel_extension")
                  (("3" (prop)
                    (("3" (expand "rel_inv_extension2")
                      (("3" (expand "rel_extension")
                        (("3" (prop)
                          (("1" (typepred "le_U!1")
                            (("1" (expand "equivalence?")
                              (("1"
                                (prop)
                                (("1"
                                  (expand "symmetric?")
                                  (("1"
                                    (inst?)
                                    (("1" (prop) nil nil))
                                    nil))
                                  nil))
                                nil))
                              nil))
                            nil)
                           ("2" (typepred "le_U!1")
                            (("2" (expand "equivalence?")
                              (("2"
                                (prop)
                                (("2"
                                  (expand "symmetric?")
                                  (("2"
                                    (inst
                                     -2
                                     "f!1(g!1(n!1`2))"
                                     "f!1(n!1`1)")
                                    (("2" (prop) nil nil))
                                    nil))
                                  nil))
                                nil))
                              nil))
                            nil))
                          nil))
                        nil))
                      nil))
                    nil))
                  nil))
                nil))
              nil))
            nil))
          nil)
         ("2" (expand "RR")
          (("2" (expand "RR2")
            (("2" (prop)
              (("1" (expand "rel_inv_extension2")
                (("1" (propax) nil nil)) nil)
               ("2" (expand "rel_inv_extension2")
                (("2" (expand "rel_extension")
                  (("2" (prop)
                    (("1" (typepred "le_U!1")
                      (("1" (expand "equivalence?")
                        (("1" (prop)
                          (("1" (expand "symmetric?")
                            (("1"
                              (inst -2 "f!1(n!1`1)" "f!1(g!1(n!1`2))")
                              (("1" (prop) nil nil)) nil))
                            nil))
                          nil))
                        nil))
                      nil)
                     ("2" (typepred "le_U!1")
                      (("2" (expand "equivalence?")
                        (("2" (prop)
                          (("2" (expand "symmetric?")
                            (("2" (inst?) (("2" (prop) nil nil)) nil))
                            nil))
                          nil))
                        nil))
                      nil)
                     ("3" (typepred "le_U!1")
                      (("3" (expand "equivalence?")
                        (("3" (prop)
                          (("3" (expand "symmetric?")
                            (("3" (inst?) (("3" (prop) nil nil)) nil))
                            nil))
                          nil))
                        nil))
                      nil)
                     ("4" (typepred "le_U!1")
                      (("4" (expand "equivalence?")
                        (("4" (prop)
                          (("4" (expand "symmetric?")
                            (("4" (inst?) (("4" (prop) nil nil)) nil))
                            nil))
                          nil))
                        nil))
                      nil))
                    nil))
                  nil))
                nil)
               ("3" (expand "rel_inv_extension2")
                (("3" (expand "rel_extension")
                  (("3" (prop)
                    (("1" (typepred "le_T!1")
                      (("1" (expand "equivalence?")
                        (("1" (prop)
                          (("1" (expand "symmetric?")
                            (("1"
                              (inst -2 "g!1(n!1`2)" "g!1(f!1(n!1`1))")
                              (("1" (prop) nil nil)) nil))
                            nil))
                          nil))
                        nil))
                      nil)
                     ("2" (typepred "le_T!1")
                      (("2" (expand "equivalence?")
                        (("2" (prop)
                          (("2" (expand "symmetric?")
                            (("2" (inst?) (("2" (prop) nil nil)) nil))
                            nil))
                          nil))
                        nil))
                      nil))
                    nil))
                  nil))
                nil))
              nil))
            nil))
          nil))
        nil))
      nil))
    nil)
   ((RR2 const-decl "set[[T, U]]" rr_rel nil)
    (RR const-decl "set[[T, U]]" rr_rel nil)
    (symmetric? const-decl "bool" relations nil)
    (U formal-nonempty-type-decl nil rr_rel nil)
    (boolean nonempty-type-decl nil booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (T formal-nonempty-type-decl nil rr_rel nil)
    (PRED type-eq-decl nil defined_types nil)
    (equivalence? const-decl "bool" relations nil)
    (equivalence type-eq-decl nil relations nil)
    (rel_extension const-decl "set[[[T, U], [T, U]]]"
     relation_extension nil)
    (rel_inv_extension2 const-decl "set[[[T, U], [T, U]]]"
     relation_inverse_extension nil))
   shostak)))

quality91%

¤ Dauer der Verarbeitung: 0.18 Sekunden (vorverarbeitet) ¤

Wurzel

Suchen

Beweissystem der NASA

Beweissystem Isabelle

NIST Cobol Testsuite

Cephes Mathematical Library

Wiener Entwicklungsmethode

Haftungshinweis

Die Informationen auf dieser Webseite wurden nach bestem Wissen sorgfältig zusammengestellt. Es wird jedoch weder Vollständigkeit, noch Richtigkeit, noch Qualität der bereit gestellten Informationen zugesichert.

Bemerkung:

Die farbliche Syntaxdarstellung ist noch experimentell.