Quellcode-Bibliothek

^© Kompilation durch diese Firma

[Weder Korrektheit noch Funktionsfähigkeit der Software werden zugesichert.]

Datei: products_subgroups.prf Sprache: Lisp

Original von: PVS^©

(products_subgroups
(IMP_normal_subgroups_TCC1 0
  (IMP_normal_subgroups_TCC1-1 nil 3529777527
   ("" (rewrite "fullset_is_group") nil nil)
   ((fullset_is_group formula-decl nil products_subgroups nil)) nil))
(HK_subgroup 0
  (HK_subgroup-1 nil 3524766271
   ("" (skosimp*)
    (("" (lemma "subgroup_def")
      (("" (inst?)
        (("" (prop)
          (("1" (hide (-1 2 3))
            (("1" (expand "nonempty?")
              (("1" (expand "empty?")
                (("1" (expand "member")
                  (("1" (inst -1 "one")
                    (("1" (expand "prod")
                      (("1" (inst 1 "one" "one")
                        (("1" (rewrite "one_left") nil nil)
                         ("2" (typepred "N!1")
                          (("2" (expand* "group?" "monoid?" "monad?")
                            (("2" (flatten)
                              (("2"
                                (expand "member")
                                (("2" (propax) nil nil))
                                nil))
                              nil))
                            nil))
                          nil)
                         ("3" (typepred "H!1")
                          (("3" (expand* "group?" "monoid?" "monad?")
                            (("3" (flatten)
                              (("3"
                                (expand "member")
                                (("3" (propax) nil nil))
                                nil))
                              nil))
                            nil))
                          nil))
                        nil))
                      nil))
                    nil))
                  nil))
                nil))
              nil))
            nil)
           ("2" (hide (-1 2 3))
            (("2" (expand* "subset?" "member")
              (("2" (skosimp)
                (("2" (expand "prod")
                  (("2" (skosimp*)
                    (("2" (typepred "h!1" "k!1" "H!1" "N!1")
                      (("2" (expand* "subgroup?" "subset?" "member")
                        (("2" (hide (-3 -5))
                          (("2" (inst -3 "h!1")
                            (("2" (inst -4 "k!1")
                              (("2"
                                (assert)
                                (("2"
                                  (replaces -5)
                                  (("2"
                                    (rewrite "product_in")
                                    nil
                                    nil))
                                  nil))
                                nil))
                              nil))
                            nil))
                          nil))
                        nil))
                      nil))
                    nil))
                  nil))
                nil))
              nil))
            nil)
           ("3" (hide (2 3))
            (("3" (expand "star_closed?")
              (("3" (skosimp)
                (("3" (expand* "member" "prod")
                  (("3" (typepred "x!1" "y!1")
                    (("3" (expand "prod")
                      (("3" (skosimp*)
                        (("3"
                          (inst 1 "h!1 * h!2"
                           "inv(h!2) * k!1 * h!2 * k!2")
                          (("1" (rewrite "assoc")
                            (("1" (rewrite "assoc")
                              (("1"
                                (rewrite "assoc")
                                (("1"
                                  (lemma "assoc")
                                  (("1"
                                    (inst?)
                                    (("1"
                                      (replace -1 1 rl)
                                      (("1"
                                        (rewrite "inv_right")
                                        (("1"
                                          (rewrite "one_right")
                                          (("1"
                                            (replaces -2)
                                            (("1"
                                              (replaces -2)
                                              (("1"
                                                (rewrite "assoc")
                                                nil
                                                nil))
                                              nil))
                                            nil))
                                          nil))
                                        nil))
                                      nil))
                                    nil))
                                  nil))
                                nil))
                              nil))
                            nil)
                           ("2" (hide (-1 -2))
                            (("2" (lemma "nsg_prop2")
                              (("2"
                                (inst -1 "h!2" "k!1" "G!1" "N!1")
                                (("2"
                                  (typepred "k!1" "k!2")
                                  (("2"
                                    (prop)
                                    (("1"
                                      (lemma "product_in")
                                      (("1"
                                        (inst
                                         -1
                                         "N!1"
                                         "inv(h!2) * k!1 * h!2"
                                         "k!2")
                                        (("1" (assert) nil nil))
                                        nil))
                                      nil)
                                     ("2"
                                      (hide-all-but 1)
                                      (("2"
                                        (typepred "h!2" "H!1")
                                        (("2"
                                          (expand*
                                           "subgroup?"
                                           "subset?"
                                           "member")
                                          (("2"
                                            (inst?)
                                            (("2" (assert) nil nil))
                                            nil))
                                          nil))
                                        nil))
                                      nil))
                                    nil))
                                  nil))
                                nil))
                              nil))
                            nil)
                           ("3" (hide -)
                            (("3" (typepred "h!1" "h!2")
                              (("3" (rewrite "product_in") nil nil))
                              nil))
                            nil))
                          nil))
                        nil))
                      nil))
                    nil))
                  nil))
                nil))
              nil))
            nil)
           ("4" (hide (2 3))
            (("4" (expand "inv_closed?")
              (("4" (skosimp)
                (("4" (expand "member")
                  (("4" (expand "prod")
                    (("4" (typepred "x!1")
                      (("4" (expand "prod")
                        (("4" (skosimp)
                          (("4"
                            (inst 1 "inv(h!1)"
                             "h!1 * inv(k!1) * inv(h!1)")
                            (("1" (replaces -1)
                              (("1"
                                (rewrite "inv_star")
                                (("1"
                                  (rewrite "assoc")
                                  (("1" (rewrite "assoc") nil nil))
                                  nil))
                                nil))
                              nil)
                             ("2" (lemma "nsg_prop")
                              (("2"
                                (inst -1 "h!1" "inv(k!1)" "G!1" "N!1")
                                (("2"
                                  (prop)
                                  (("1"
                                    (hide-all-but 1)
                                    (("1"
                                      (typepred "h!1" "H!1")
                                      (("1"
                                        (expand*
                                         "subgroup?"
                                         "subset?"
                                         "member")
                                        (("1"
                                          (inst?)
                                          (("1" (assert) nil nil))
                                          nil))
                                        nil))
                                      nil))
                                    nil)
                                   ("2"
                                    (hide-all-but 1)
                                    (("2"
                                      (typepred "k!1")
                                      (("2"
                                        (rewrite "inv_in")
                                        nil
                                        nil))
                                      nil))
                                    nil))
                                  nil))
                                nil))
                              nil)
                             ("3" (hide -)
                              (("3"
                                (typepred "h!1")
                                (("3" (rewrite "inv_in") nil nil))
                                nil))
                              nil))
                            nil))
                          nil))
                        nil))
                      nil))
                    nil))
                  nil))
                nil))
              nil))
            nil))
          nil))
        nil))
      nil))
    nil)
   ((one formal-const-decl "T" products_subgroups nil)
    (* formal-const-decl "[T, T -> T]" products_subgroups nil)
    (T formal-type-decl nil products_subgroups nil)
    (subgroup_def formula-decl nil group "algebra/")
    (nonempty? const-decl "bool" sets nil)
    (member const-decl "bool" sets nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (monad? const-decl "bool" monad_def "algebra/")
    (monoid? const-decl "bool" monoid_def "algebra/")
    (one_left formula-decl nil group "algebra/")
    (N!1 skolem-const-decl "subgroup[T, *, one](G!1)"
     products_subgroups nil)
    (H!1 skolem-const-decl "subgroup[T, *, one](G!1)"
     products_subgroups nil)
    (G!1 skolem-const-decl "group[T, *, one]" products_subgroups nil)
    (empty? const-decl "bool" sets nil)
    (subset? const-decl "bool" sets nil)
    (product_in formula-decl nil group "algebra/")
    (star_closed? const-decl "bool" groupoid_def "algebra/")
    (h!1 skolem-const-decl "(H!1)" products_subgroups nil)
    (h!2 skolem-const-decl "(H!1)" products_subgroups nil)
    (k!2 skolem-const-decl "(N!1)" products_subgroups nil)
    (k!1 skolem-const-decl "(N!1)" products_subgroups nil)
    (inv const-decl "{y | x * y = one AND y * x = one}" group
     "algebra/")
    (= const-decl "[T, T -> boolean]" equalities nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (one_right formula-decl nil group "algebra/")
    (inv_right formula-decl nil group "algebra/")
    (assoc formula-decl nil group "algebra/")
    (nsg_prop2 formula-decl nil normal_subgroups "algebra/")
    (normal_subgroup type-eq-decl nil normal_subgroups "algebra/")
    (normal_subgroup? const-decl "boolean" normal_subgroups "algebra/")
    (inv_closed? const-decl "bool" group "algebra/")
    (nsg_prop formula-decl nil normal_subgroups "algebra/")
    (inv_in formula-decl nil group "algebra/")
    (inv_left formula-decl nil group "algebra/")
    (left_identity formula-decl nil monad "algebra/")
    (inv_star formula-decl nil group "algebra/")
    (k!1 skolem-const-decl "(N!1)" products_subgroups nil)
    (h!1 skolem-const-decl "(H!1)" products_subgroups nil)
    (subgroup type-eq-decl nil group "algebra/")
    (subgroup? const-decl "bool" group_def "algebra/")
    (prod const-decl "set[T]" products_subgroups nil)
    (group nonempty-type-eq-decl nil group "algebra/")
    (group? const-decl "bool" group_def "algebra/")
    (set type-eq-decl nil sets nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (boolean nonempty-type-decl nil booleans nil))
   shostak))
(HK_subgroup_permute 0
  (HK_subgroup_permute-1 nil 3524767805
   ("" (skosimp)
    (("" (prop)
      (("1" (decompose-equality 1)
        (("1" (iff)
          (("1" (prop)
            (("1" (expand "subgroup?")
              (("1" (flatten)
                (("1" (lemma "inv_in")
                  (("1" (inst -1 "prod(H!1, K!1)" "x!1")
                    (("1" (expand "prod" (-1 1))
                      (("1" (skosimp)
                        (("1" (typepred "h!1" "k!1")
                          (("1" (lemma "inv_in")
                            (("1" (copy -1)
                              (("1"
                                (inst -1 "H!1" "h!1")
                                (("1"
                                  (inst -2 "K!1" "k!1")
                                  (("1"
                                    (inst 1 "inv(k!1)" "inv(h!1)")
                                    (("1"
                                      (lemma "inv_star")
                                      (("1"
                                        (inst?)
                                        (("1"
                                          (replace -1 1 rl)
                                          (("1"
                                            (replace -6 1 rl)
                                            (("1"
                                              (rewrite "inv_inv")
                                              nil
                                              nil))
                                            nil))
                                          nil))
                                        nil))
                                      nil))
                                    nil))
                                  nil))
                                nil))
                              nil))
                            nil))
                          nil))
                        nil))
                      nil))
                    nil))
                  nil))
                nil))
              nil)
             ("2" (expand "prod" -1)
              (("2" (skosimp*)
                (("2" (typepred "h!1" "k!1")
                  (("2" (lemma "inv_in")
                    (("2" (copy -1)
                      (("2" (inst -1 "H!1" "k!1")
                        (("2" (inst -2 "K!1" "h!1")
                          (("2" (case "prod(H!1, K!1)(inv(h!1 * k!1))")
                            (("1" (expand "subgroup?")
                              (("1"
                                (flatten)
                                (("1"
                                  (lemma "inv_in")
                                  (("1"
                                    (inst
                                     -1
                                     "prod(H!1, K!1)"
                                     "inv(h!1 * k!1)")
                                    (("1"
                                      (rewrite "inv_inv")
                                      (("1" (assert) nil nil))
                                      nil))
                                    nil))
                                  nil))
                                nil))
                              nil)
                             ("2" (hide (-6 2))
                              (("2"
                                (expand "prod")
                                (("2"
                                  (inst 1 "inv(k!1)" "inv(h!1)")
                                  (("2" (rewrite "inv_star") nil nil))
                                  nil))
                                nil))
                              nil))
                            nil))
                          nil))
                        nil))
                      nil))
                    nil))
                  nil))
                nil))
              nil))
            nil))
          nil))
        nil)
       ("2" (lemma "subgroup_def")
        (("2" (inst?)
          (("2" (prop)
            (("1" (hide (-1 2 3))
              (("1" (expand "nonempty?")
                (("1" (expand "empty?")
                  (("1" (inst -1 "one")
                    (("1" (expand "member")
                      (("1" (expand "prod")
                        (("1" (inst 1 "one" "one")
                          (("1" (rewrite "one_left") nil nil)
                           ("2" (typepred "K!1")
                            (("2" (expand* "group?" "monoid?" "monad?")
                              (("2"
                                (flatten)
                                (("2"
                                  (hide-all-but (-2 1))
                                  (("2"
                                    (expand "member")
                                    (("2" (propax) nil nil))
                                    nil))
                                  nil))
                                nil))
                              nil))
                            nil)
                           ("3" (typepred "H!1")
                            (("3" (expand* "group?" "monoid?" "monad?")
                              (("3"
                                (flatten)
                                (("3"
                                  (hide-all-but (-2 1))
                                  (("3"
                                    (expand "member")
                                    (("3" (propax) nil nil))
                                    nil))
                                  nil))
                                nil))
                              nil))
                            nil))
                          nil))
                        nil))
                      nil))
                    nil))
                  nil))
                nil))
              nil)
             ("2" (hide (-1 2 3))
              (("2" (expand* "subset?" "member")
                (("2" (skosimp)
                  (("2" (expand "prod")
                    (("2" (skosimp*)
                      (("2" (typepred "h!1" "k!1")
                        (("2" (typepred "H!1" "K!1")
                          (("2"
                            (expand* "subgroup?" "subset?" "member")
                            (("2" (hide (-1 -3))
                              (("2"
                                (inst -1 "h!1")
                                (("2"
                                  (inst -2 "k!1")
                                  (("2"
                                    (assert)
                                    (("2"
                                      (replaces -5)
                                      (("2"
                                        (rewrite "product_in")
                                        nil
                                        nil))
                                      nil))
                                    nil))
                                  nil))
                                nil))
                              nil))
                            nil))
                          nil))
                        nil))
                      nil))
                    nil))
                  nil))
                nil))
              nil)
             ("3" (hide (2 3))
              (("3" (expand "star_closed?")
                (("3" (skosimp)
                  (("3" (expand "member")
                    (("3" (typepred "x!1" "y!1")
                      (("3" (expand "prod" (-1 -2))
                        (("3" (skosimp*)
                          (("3" (replaces -1)
                            (("3" (replaces -1)
                              (("3"
                                (rewrite "assoc")
                                (("3"
                                  (lemma "assoc")
                                  (("3"
                                    (inst?)
                                    (("3"
                                      (replace -1 1 rl)
                                      (("3"
                                        (hide -1)
                                        (("3"
                                          (decompose-equality -1)
                                          (("3"
                                            (inst -1 "k!1 * h!2")
                                            (("3"
                                              (iff)
                                              (("3"
                                                (prop)
                                                (("1"
                                                  (hide -2)
                                                  (("1"
                                                    (expand "prod" -1)
                                                    (("1"
                                                      (skosimp*)
                                                      (("1"
                                                        (replaces -1)
                                                        (("1"
                                                          (expand
                                                           "prod")
                                                          (("1"
                                                            (inst
                                                             1
                                                             "h!1 * h!3"
                                                             "k!3 * k!2")
                                                            (("1"
                                                              (rewrite
                                                               "assoc")
                                                              (("1"
                                                                (rewrite
                                                                 "assoc")
                                                                nil
                                                                nil))
                                                              nil)
                                                             ("2"
                                                              (typepred
                                                               "k!3"
                                                               "k!2")
                                                              (("2"
                                                                (rewrite
                                                                 "product_in")
                                                                nil
                                                                nil))
                                                              nil)
                                                             ("3"
                                                              (typepred
                                                               "h!3"
                                                               "h!1")
                                                              (("3"
                                                                (rewrite
                                                                 "product_in")
                                                                nil
                                                                nil))
                                                              nil))
                                                            nil))
                                                          nil))
                                                        nil))
                                                      nil))
                                                    nil))
                                                  nil)
                                                 ("2"
                                                  (hide (2 3))
                                                  (("2"
                                                    (expand "prod")
                                                    (("2"
                                                      (inst?)
                                                      nil
                                                      nil))
                                                    nil))
                                                  nil))
                                                nil))
                                              nil))
                                            nil))
                                          nil))
                                        nil))
                                      nil))
                                    nil))
                                  nil))
                                nil))
                              nil))
                            nil))
                          nil))
                        nil))
                      nil))
                    nil))
                  nil))
                nil))
              nil)
             ("4" (hide (2 3))
              (("4" (expand* "inv_closed?" "member")
                (("4" (skosimp*)
                  (("4" (typepred "x!1")
                    (("4" (expand "prod" -1)
                      (("4" (skosimp*)
                        (("4" (replaces -1)
                          (("4" (rewrite "inv_star")
                            (("4" (decompose-equality -1)
                              (("4"
                                (inst -1 "inv(k!1) * inv(h!1)")
                                (("4"
                                  (iff)
                                  (("4"
                                    (prop)
                                    (("4"
                                      (hide (2 3))
                                      (("4"
                                        (expand "prod")
                                        (("4"
                                          (inst
                                           1
                                           "inv(k!1)"
                                           "inv(h!1)")
                                          (("1"
                                            (typepred "h!1")
                                            (("1"
                                              (rewrite "inv_in")
                                              nil
                                              nil))
                                            nil)
                                           ("2"
                                            (typepred "k!1")
                                            (("2"
                                              (rewrite "inv_in")
                                              nil
                                              nil))
                                            nil))
                                          nil))
                                        nil))
                                      nil))
                                    nil))
                                  nil))
                                nil))
                              nil))
                            nil))
                          nil))
                        nil))
                      nil))
                    nil))
                  nil))
                nil))
              nil))
            nil))
          nil))
        nil))
      nil))
    nil)
   ((h!1 skolem-const-decl "(K!1)" products_subgroups nil)
    (k!1 skolem-const-decl "(H!1)" products_subgroups nil)
    (inv_in formula-decl nil group "algebra/")
    (NOT const-decl "[bool -> bool]" booleans nil)
    (inv_star formula-decl nil group "algebra/")
    (inv_inv formula-decl nil group "algebra/")
    (h!1 skolem-const-decl "(H!1)" products_subgroups nil)
    (k!1 skolem-const-decl "(K!1)" products_subgroups nil)
    (inv const-decl "{y | x * y = one AND y * x = one}" group
     "algebra/")
    (= const-decl "[T, T -> boolean]" equalities nil)
    (AND const-decl "[bool, bool -> bool]" booleans nil)
    (x!1 skolem-const-decl "T" products_subgroups nil)
    (G!1 skolem-const-decl "group[T, *, one]" products_subgroups nil)
    (H!1 skolem-const-decl "subgroup[T, *, one](G!1)"
     products_subgroups nil)
    (K!1 skolem-const-decl "subgroup[T, *, one](G!1)"
     products_subgroups nil)
    (T formal-type-decl nil products_subgroups nil)
    (boolean nonempty-type-decl nil booleans nil)
    (subgroup type-eq-decl nil group "algebra/")
    (subgroup? const-decl "bool" group_def "algebra/")
    (group nonempty-type-eq-decl nil group "algebra/")
    (group? const-decl "bool" group_def "algebra/")
    (one formal-const-decl "T" products_subgroups nil)
    (* formal-const-decl "[T, T -> T]" products_subgroups nil)
    (prod const-decl "set[T]" products_subgroups nil)
    (set type-eq-decl nil sets nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (k!1 skolem-const-decl "(K!1)" products_subgroups nil)
    (h!1 skolem-const-decl "(H!1)" products_subgroups nil)
    (inv_closed? const-decl "bool" group "algebra/")
    (k!2 skolem-const-decl "(K!1)" products_subgroups nil)
    (k!3 skolem-const-decl "(K!1)" products_subgroups nil)
    (h!3 skolem-const-decl "(H!1)" products_subgroups nil)
    (h!1 skolem-const-decl "(H!1)" products_subgroups nil)
    (assoc formula-decl nil group "algebra/")
    (star_closed? const-decl "bool" groupoid_def "algebra/")
    (product_in formula-decl nil group "algebra/")
    (subset? const-decl "bool" sets nil)
    (empty? const-decl "bool" sets nil)
    (member const-decl "bool" sets nil)
    (one_left formula-decl nil group "algebra/")
    (monoid? const-decl "bool" monoid_def "algebra/")
    (monad? const-decl "bool" monad_def "algebra/")
    (nonempty? const-decl "bool" sets nil)
    (subgroup_def formula-decl nil group "algebra/"))
   shostak))
(H_K_are_subgroups 0
  (H_K_are_subgroups-1 nil 3524768409
   ("" (skosimp)
    (("" (prop)
      (("1" (lemma "subgroup_def")
        (("1" (inst?)
          (("1" (assert)
            (("1" (hide (-1 2))
              (("1" (prop)
                (("1" (typepred "H!1")
                  (("1" (hide -1)
                    (("1" (lemma "subgroup_def")
                      (("1" (inst?) (("1" (assert) nil nil)) nil))
                      nil))
                    nil))
                  nil)
                 ("2" (expand* "subset?" "member")
                  (("2" (skosimp)
                    (("2" (expand "prod")
                      (("2" (inst 1 "x!1" "one")
                        (("1" (rewrite "one_right") nil nil)
                         ("2" (typepred "K!1")
                          (("2"
                            (expand* "group?" "monoid?" "monad?"
                             "member")
                            (("2" (assert) nil nil)) nil))
                          nil))
                        nil))
                      nil))
                    nil))
                  nil)
                 ("3" (typepred "H!1")
                  (("3" (hide -1)
                    (("3" (lemma "subgroup_def")
                      (("3" (inst?) (("3" (assert) nil nil)) nil))
                      nil))
                    nil))
                  nil)
                 ("4" (typepred "H!1")
                  (("4" (hide -1)
                    (("4" (lemma "subgroup_def")
                      (("4" (inst?) (("4" (assert) nil nil)) nil))
                      nil))
                    nil))
                  nil))
                nil))
              nil))
            nil))
          nil))
        nil)
       ("2" (lemma "subgroup_def")
        (("2" (inst?)
          (("2" (assert)
            (("2" (hide (-1 2))
              (("2" (prop)
                (("1" (typepred "K!1")
                  (("1" (hide -1)
                    (("1" (lemma "subgroup_def")
                      (("1" (inst?) (("1" (assert) nil nil)) nil))
                      nil))
                    nil))
                  nil)
                 ("2" (expand* "subset?" "member")
                  (("2" (skosimp)
                    (("2" (expand "prod")
                      (("2" (inst 1 "one" "x!1")
                        (("1" (rewrite "one_left") nil nil)
                         ("2" (typepred "H!1")
                          (("2"
                            (expand* "group?" "monoid?" "monad?"
                             "member")
                            (("2" (assert) nil nil)) nil))
                          nil))
                        nil))
                      nil))
                    nil))
                  nil)
                 ("3" (typepred "K!1")
                  (("3" (hide -1)
                    (("3" (lemma "subgroup_def")
                      (("3" (inst?) (("3" (assert) nil nil)) nil))
                      nil))
                    nil))
                  nil)
                 ("4" (typepred "K!1")
                  (("4" (hide -1)
                    (("4" (lemma "subgroup_def")
                      (("4" (inst?) (("4" (assert) nil nil)) nil))
                      nil))
                    nil))
                  nil))
                nil))
              nil))
            nil))
          nil))
        nil))
      nil))
    nil)
   ((boolean nonempty-type-decl nil booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (set type-eq-decl nil sets nil)
    (group? const-decl "bool" group_def "algebra/")
    (group nonempty-type-eq-decl nil group "algebra/")
    (prod const-decl "set[T]" products_subgroups nil)
    (subgroup? const-decl "bool" group_def "algebra/")
    (subgroup type-eq-decl nil group "algebra/")
    (member const-decl "bool" sets nil)
    (subset? const-decl "bool" sets nil)
    (monad? const-decl "bool" monad_def "algebra/")
    (monoid? const-decl "bool" monoid_def "algebra/")
    (one_right formula-decl nil group "algebra/")
    (K!1 skolem-const-decl "subgroup[T, *, one](G!1)"
     products_subgroups nil)
    (x!1 skolem-const-decl "T" products_subgroups nil)
    (H!1 skolem-const-decl "subgroup[T, *, one](G!1)"
     products_subgroups nil)
    (G!1 skolem-const-decl "group[T, *, one]" products_subgroups nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (subset_is_partial_order name-judgement "(partial_order?[set[T]])"
     sets_lemmas nil)
    (subgroup_def formula-decl nil group "algebra/")
    (T formal-type-decl nil products_subgroups nil)
    (* formal-const-decl "[T, T -> T]" products_subgroups nil)
    (one formal-const-decl "T" products_subgroups nil)
    (one_left formula-decl nil group "algebra/")
    (x!1 skolem-const-decl "T" products_subgroups nil))
   shostak)))

¤ Dauer der Verarbeitung: 0.20 Sekunden (vorverarbeitet) ¤

Download des Quellennavigators
Download des sprechenden Kalenders
in der Quellcodebibliothek suchen

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.