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Datei: intersections_2D.pvs   Sprache: Lisp

Original von: PVS©

(intersections_2D
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    (real_minus_real_is_real application-judgement "real" reals nil)
    (+ const-decl "Vector" vectors_2D nil)
    (* const-decl "Vector" vectors_2D nil)
    (- const-decl "Vector" vectors_2D nil)
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    (IFF const-decl "[bool, bool -> bool]" booleans nil)
    (number nonempty-type-decl nil numbers nil)
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    (numfield nonempty-type-eq-decl nil number_fields nil)
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    (Vect2 type-eq-decl nil vectors_2D_def nil)
    (Nz_vect2 type-eq-decl nil vectors_2D nil)
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    (- const-decl "Vector" vectors_2D nil)
    (det const-decl "real" det_2D nil)
    (real_times_real_is_real application-judgement "real" reals nil))
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    (* const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (- const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (numfield nonempty-type-eq-decl nil number_fields nil)
    (Line2D type-eq-decl nil lines_2D nil)
    (Nz_vect2 type-eq-decl nil vectors_2D nil)
    (Vect2 type-eq-decl nil vectors_2D_def nil)
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    (both_sides_times1 formula-decl nil real_props nil)
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    (nonzero_real nonempty-type-eq-decl nil reals nil)
    (L0!1 skolem-const-decl "Line2D" intersections_2D nil)
    (= const-decl "[T, T -> boolean]" equalities nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (zero_times3 formula-decl nil real_props nil)
    (nz_norm_gt_0 application-judgement "posreal" vectors_2D nil)
    (norm_xy_eq_0 formula-decl nil vectors_2D nil)
    (zero const-decl "Vector" vectors_2D nil)
    (Vector type-eq-decl nil vectors_2D nil)
    (mult_divides1 application-judgement "(divides(n))" divides nil)
    (even_times_int_is_even application-judgement "even_int" integers
     nil)
    (nnint_times_nnint_is_nnint application-judgement "nonneg_int"
     integers nil)
    (det const-decl "real" det_2D nil)
    (- const-decl "Vector" vectors_2D nil)
    (real_plus_real_is_real application-judgement "real" reals nil)
    (real_times_real_is_real application-judgement "real" reals nil)
    (real_minus_real_is_real application-judgement "real" reals nil))
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 (intersect_not_parallel 0
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          nil))
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    (real_minus_real_is_real application-judgement "real" reals nil)
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    (parallel? const-decl "bool" vectors_2D nil))
   shostak))
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    (id const-decl "(bijective?[T, T])" identity nil)
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    (IMPLIES const-decl "[bool, bool -> bool]" booleans nil)
    (= const-decl "[T, T -> boolean]" equalities nil)
    (- const-decl "Vector" vectors_2D nil)
    (Vect2 type-eq-decl nil vectors_2D_def nil)
    (Nz_vect2 type-eq-decl nil vectors_2D nil)
    (Line2D type-eq-decl nil lines_2D nil)
    (number nonempty-type-decl nil numbers nil)
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    (numfield nonempty-type-eq-decl nil number_fields nil)
    (nznum nonempty-type-eq-decl nil number_fields nil)
    (/ const-decl "[numfield, nznum -> numfield]" number_fields nil)
    (IFF const-decl "[bool, bool -> bool]" booleans nil)
    (+ const-decl "Vector" vectors_2D nil)
    (* const-decl "Vector" vectors_2D nil)
    (real_minus_real_is_real application-judgement "real" reals nil)
    (+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (nonzero_real nonempty-type-eq-decl nil reals nil)
    (both_sides_times1 formula-decl nil real_props nil)
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   ((Line2D type-eq-decl nil lines_2D nil)
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    (Vect2 type-eq-decl nil vectors_2D_def nil)
    (Vector type-eq-decl nil vectors_2D nil)
    (+ const-decl "Vector" vectors_2D nil)
    (* const-decl "Vector" vectors_2D nil))
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    (Nz_vect2 type-eq-decl nil vectors_2D nil)
    (Vect2 type-eq-decl nil vectors_2D_def nil)
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    (real nonempty-type-from-decl nil reals nil)
    (add_move_right formula-decl nil vectors_2D nil)
    (+ const-decl "Vector" vectors_2D nil)
    (real_plus_real_is_real application-judgement "real" reals nil)
    (real_minus_real_is_real application-judgement "real" reals nil)
    (det const-decl "real" det_2D nil)
    (* const-decl "[numfield, numfield -> numfield]" number_fields nil)
    (numfield nonempty-type-eq-decl nil number_fields nil)
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    (number nonempty-type-decl nil numbers nil)
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    (Nz_vect2 type-eq-decl nil vectors_2D nil)
    (Vector type-eq-decl nil vectors_2D nil)
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--> --------------------

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--> --------------------

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