Quelle vect_trig_3D.prf Sprache: Lisp

(vect_trig_3D
(cos_range 0
  (cos_range-1 nil 3403546047
   ("" (skosimp*)
    (("" (expand "cos")
      (("" (lemma "dot_norm")
        (("" (inst?)
          (("" (prop)
            (("1" (cross-mult 1) (("1" (assert) nil nil)) nil)
             ("2" (cross-mult 1) (("2" (assert) nil nil)) nil))
            nil))
          nil))
        nil))
      nil))
    nil)
   ((nz_norm_gt_0 application-judgement "posreal" vectors_3D nil)
    (posreal_times_posreal_is_posreal application-judgement "posreal"
     real_types nil)
    (cos const-decl "real" vect_trig_3D nil)
    (minus_real_is_real application-judgement "real" reals nil)
    (real nonempty-type-from-decl nil reals nil)
    (Vector type-eq-decl nil vectors_3D nil)
    (boolean nonempty-type-decl nil booleans nil)
    (/= const-decl "boolean" notequal nil)
    (zero const-decl "Vector" vectors_3D nil)
    (Nz_vector type-eq-decl nil vectors_3D nil)
    (real_div_nzreal_is_real application-judgement "real" reals nil)
    (div_mult_pos_le1 formula-decl nil real_props nil)
    (minus_odd_is_odd application-judgement "odd_int" integers nil)
    (div_mult_pos_le2 formula-decl nil real_props nil)
    (* const-decl "real" vectors_3D nil)
    (- const-decl "[numfield -> numfield]" number_fields nil)
    (norm const-decl "nnreal" vectors_3D nil)
    (nnreal type-eq-decl nil real_types nil)
    (* const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (numfield nonempty-type-eq-decl nil number_fields nil)
    (posreal nonempty-type-eq-decl nil real_types nil)
    (> const-decl "bool" reals nil)
    (nonneg_real nonempty-type-eq-decl nil real_types nil)
    (>= const-decl "bool" reals nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (real_pred const-decl "[number_field -> boolean]" reals nil)
    (number_field nonempty-type-from-decl nil number_fields nil)
    (number_field_pred const-decl "[number -> boolean]" number_fields
     nil)
    (number nonempty-type-decl nil numbers nil)
    (nzreal_times_nzreal_is_nzreal application-judgement "nzreal"
     real_types nil)
    (real_le_is_total_order name-judgement "(total_order?[real])"
     real_props nil)
    (minus_nzreal_is_nzreal application-judgement "nzreal" real_types
     nil)
    (dot_norm formula-decl nil vectors_3D nil))
   nil))
(cos_symm 0
  (cos_symm-1 nil 3427044409
   ("" (skeep)
    (("" (expand "cos")
      (("" (lemma "dot_comm")
        (("" (inst?) (("" (assert) nil nil)) nil)) nil))
      nil))
    nil)
   ((cos const-decl "real" vect_trig_3D nil)
    (real nonempty-type-from-decl nil reals nil)
    (Vector type-eq-decl nil vectors_3D nil)
    (boolean nonempty-type-decl nil booleans nil)
    (/= const-decl "boolean" notequal nil)
    (zero const-decl "Vector" vectors_3D nil)
    (Nz_vector type-eq-decl nil vectors_3D nil)
    (real_div_nzreal_is_real application-judgement "real" reals nil)
    (posreal_times_posreal_is_posreal application-judgement "posreal"
     real_types nil)
    (nz_norm_gt_0 application-judgement "posreal" vectors_3D nil)
    (dot_comm formula-decl nil vectors_3D nil))
   shostak)))

quality100%

¤ Dauer der Verarbeitung: 0.16 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.