| Quellcodebibliothek Statistik Leitseite products/Sources/formale Sprachen/PVS/ACCoRD/ (Beweissystem der NASA Version 6.0.9©) Datei vom 28.9.2014 mit Größe 111 kB |
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Quelle cd3d_inf.prfSprache: Lisp |
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const-decl "bool" cd2d nil) (real_div_nzreal_is_real application-judgement "real" reals nil) (nznum nonempty-type-eq-decl nil number_fields nil) (/ const-decl "[numfield, nznum -> numfield]" number_fields nil) (nnreal type-eq-decl nil real_types nil) (<= const-decl "bool" reals nil) (v skolem-const-decl "Vect3" cd3d_inf nil) (s skolem-const-decl "Vect3" cd3d_inf nil) (Lookahead type-eq-decl nil Lookahead nil) (t!1 skolem-const-decl "Lookahead[max(-H - sign(v`z) * s`z, 0), H - sign(v`z) * s`z]" cd3d_inf nil) (sqv_scal formula-decl nil vectors_2D "vectors/") (both_sides_times_pos_ge1_imp formula-decl nil extra_real_props nil) (sq const-decl "nonneg_real" sq "reals/") (+ const-decl "[numfield, numfield -> numfield]" number_fields nil) (sqv const-decl "nnreal" vectors_2D "vectors/") (* const-decl "real" vectors_2D "vectors/") (sq_nz_pos application-judgement "posreal" sq "reals/") (< const-decl "bool" reals nil) (minus_real_is_real application-judgement "real" reals nil) (sq_times formula-decl nil sq "reals/") (sq_div formula-decl nil sq "reals/") (sq_abs formula-decl nil sq "reals/") (vect2_scal formula-decl nil vect_3D_2D "vectors/") (dot_scal_left formula-decl nil vectors_2D "vectors/") (dot_scal_right formula-decl nil vectors_2D "vectors/") (real_plus_real_is_real application-judgement "real" reals nil) (nnreal_plus_nnreal_is_nnreal application-judgement "nnreal" real_types nil) (sqv_cont name-judgement "continuous_vr_fun" vect_cont_2D "vect_analysis/") (sqv_add formula-decl nil vectors_2D "vectors/") (Vector type-eq-decl nil vectors_2D "vectors/") (* const-decl "Vector" vectors_2D "vectors/") (div_mult_pos_le1 formula-decl nil real_props nil) (div_mult_pos_le2 formula-decl nil real_props nil) (mult_divides2 application-judgement "(divides(m))" divides nil) (mult_divides1 application-judgement "(divides(n))" divides nil) (nzint_times_nzint_is_nzint application-judgement "nzint" integers nil) (nzreal_times_nzreal_is_nzreal application-judgement "nzreal" real_types nil) (NOT const-decl "[bool -> bool]" booleans nil) (div_mult_pos_ge1 formula-decl nil real_props nil) (Theta_H const-decl "real" vertical nil) (nzreal nonempty-type-eq-decl nil reals nil) (real_gt_is_strict_total_order name-judgement "(strict_total_order?[real])" real_props nil) (nnreal_times_nnreal_is_nnreal application-judgement "nnreal" real_types nil) (cd2d formula-decl nil cd2d nil) (number nonempty-type-decl nil numbers nil) (boolean nonempty-type-decl nil booleans nil) (number_field_pred const-decl "[number -> boolean]" number_fields nil) (numfield nonempty-type-eq-decl nil number_fields nil) (* const-decl "[numfield, numfield -> numfield]" number_fields nil) (number_field nonempty-type-from-decl nil number_fields nil) (real_pred const-decl "[number_field -> boolean]" reals nil) (real nonempty-type-from-decl nil reals nil) (bool nonempty-type-eq-decl nil booleans nil) (>= const-decl "bool" reals nil) (nonneg_real nonempty-type-eq-decl nil real_types nil) (> const-decl "bool" reals nil) (posreal nonempty-type-eq-decl nil real_types nil) (D formal-const-decl "posreal" cd3d_inf nil) (AND const-decl "[bool, bool -> bool]" booleans nil) (- const-decl "[numfield -> numfield]" number_fields nil) (abs const-decl "{n: nonneg_real | n >= m AND n >= -m}" real_defs nil) (Vect3 type-eq-decl nil vectors_3D_def "vectors/") (max const-decl "{p: real | p >= m AND p >= n}" real_defs nil) (- const-decl "[numfield, numfield -> numfield]" number_fields nil) (H formal-const-decl "posreal" cd3d_inf nil) (rational_pred const-decl "[real -> boolean]" rationals nil) (rational nonempty-type-from-decl nil rationals nil) (integer_pred const-decl "[rational -> boolean]" integers nil) (int nonempty-type-eq-decl nil integers nil) (/= const-decl "boolean" notequal nil) (nzint nonempty-type-eq-decl nil integers nil) (OR const-decl "[bool, bool -> bool]" booleans nil) (= const-decl "[T, T -> boolean]" equalities nil) (Sign type-eq-decl nil sign "reals/") (sign const-decl "Sign" sign "reals/") (real_minus_real_is_real application-judgement "real" reals nil) (real_le_is_total_order name-judgement "(total_order?[real])" real_props nil) (minus_odd_is_odd application-judgement "odd_int" integers nil) (real_lt_is_strict_total_order name-judgement "(strict_total_order?[real])" real_props nil) (real_ge_is_total_order name-judgement "(total_order?[real])" real_props nil)) nil)) (cd3d_inf_correct 0 (cd3d_inf_correct-1 nil 3483963945 ("" (skeep) (("" (expand "cd3d_inf?") 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(("" (ground) nil nil)) nil)) nil)) nil)) nil)) nil) ((cd3d_inf_correct formula-decl nil cd3d_inf nil) (cd3d_inf_complete formula-decl nil cd3d_inf nil) (Vect3 type-eq-decl nil vectors_3D_def "vectors/") (real nonempty-type-from-decl nil reals nil)) nil)))
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2026-05-26