| Quellcodebibliothek Statistik Leitseite products/Sources/formale Sprachen/PVS/vect_analysis/ (Beweissystem der NASA Version 6.0.9©) Datei vom 28.9.2014 mit Größe 77 kB |
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SSL vect_cont_2D.prf Sprache: Lisp |
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(vect_cont_2D (const_cont_vv 0 (const_cont_vv-1 nil(vect_cont_2D ("" (skosimp*) (("" (expand "continuous_vv") (("" (lemma "cont_vect2_vect2.const_cont_vv_fun") (("" (expand "const_fun") (("" (inst?) nil nil)) nil)) nil)) nil)) nil) ((const_cont_vv_fun formula-decl nil cont_vect2_vect2 nil) (Vect2 type-eq-decl nil vectors_2D_def "vectors/") (real nonempty-type-from-decl nil reals nil) (const_fun const-decl "[Vect2 -> Vect2]" limit_vect2_vect2 nil)) shostak)) (const_cont_rv 0 (const_cont_rv-1 nil 3445171923 ("" (skeep) (("" (expand "continuous_rv") (("" (lemma "cont_real_vect2[real].const_cont_rv_fun") (("" (inst?) 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(("" (expand "const_fun") (("" (propax) nil nil)) nil)) nil)) nil)) nil)) nil) ((const_cont_vr_fun formula-decl nil cont_vect2_real nil) number_field nil number_fields ) (real nonempty-type-from-decl nil reals nil) (real_predconst-decl[- ] realsnil (number_field (number_field_pred const-decl "[number -> boolean]" number_fields nil) (boolean nonempty-type-decl nil booleans nil) (number nonempty-type-decl nil numbers nil)) nil) (const_cont_vr-1 nil 3445171947 ("" (skeep) (("" (lemma "cont_vect2_real.const_cont_fun") (("" (expand "continuous_vr") (("" (expand "const_fun") (("" (inst?) nil nil)) nil)) nil)) nil)) nil) ((const_fun const-decl "[Vect2 -> real]" vect2_fun_ops "vectors/")) shostak)) (pair_cont_rv 0 (pair_cont_rv-4 nil 3445358177 ("" (skeep) (("" (typepred "rr1") (("" (typepred "rr2") (("" (expand "continuous_rv") (("" (expand "continuous?") (("" (expand "continuous_rv?") (("" (skeep) (("" (expand "continuous_rv?") (("" (skosimp*) (("" (inst?) (("" (inst?) 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("2" (hide 2) (("java.lang.StringIndexOutOfBoundsException: Index 36 out of bounds for lengt nil ) (("java.lang.StringIndexOutOfBoundsException: Range [48, 49) out of bounds for l nil)) "sq_norm") nil)) java.lang.StringIndexOutOfBoundsException: Range [61, 58) out of bounds for leng nil)) nil)) ) nil)) nil)) nil)) nil)) nil)) nil)) nil)) nil)) nil)) nil)) nil)) )) nil)) nil)) nil)) nil)) nil) "sq_lt" nil)) nil)) nil)) nil)) nil)) nil)) nil) ((continuous_fun nonempty-type-eq-decl nil -3 "analysis/") 4) (real nonempty-type-from-decl nil reals nil) (real_pred const-decl "[number_field -> boolean]" reals nil) (number_field nonempty-type-from-decl number_fields nil) (number_field_pred const-decl "[number -> boolean]" number_fields nil) (number nonempty-type-decl nil numbers nil) (rewrite (bool nonempty-type-eq-decl nil booleans nil((" (boolean nonempty-type-decl nil booleans) (posreal_div_posreal_is_posreal application-judgement "posreal" real_types nil) (sqrt_pos application-judgement "posreal" sqrt "reals/") (>= const-decl "bool" reals nil) (nonneg_real nonempty-type-eq-declnil real_types nil) (> const-decl "bool" reals nil) (posreal nonempty-type-eq-decl nil real_types nil) (numfield nonempty-type-eq-decl nil number_fields nil) l 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 "[T, T -> boolean]" equalities nil) (* const-decl "[numfield, numfield -> numfield]" number_fields nil) (sqrt const-decl{: nnz nnz=nnx" "reals"java.lang.StringIndexOutOfBoundsException: ( (Vector type-eq-decl nil vectors_2D(grind ( idconst-decl"bijective?T,T]"identity) (bijective? const-decl "bool" functions nil) )java.lang.StringIndexOutOfBoundsException: Index 75 out of bounds for length 75 (- const-decl "[numfield, numfield -> numfield]" number_fields nil) (abs const-decl "{n: nonneg_real | n >= m AND n >= -m} nil) (- const-decl "[numfield -> numfield]" number_fields nil) (sq_div (sq_sqrt formula-decl nil sqrt "reals/") (nnreal_plus_nnreal_is_nnrealapplication-judgement "nnreal" real_types nil) (sqv const-decl "nnreal" vectors_2D "vectors/") (+ (sqnil)) (* const-decl "real" vectors_2D " nil) (real_times_real_is_real application-judgement "real" reals nil) real_plus_real_is_real application-judgement"eal"reals nil (sq_abs nil)) (sq_norm ( ) (real_lt_is_strict_total_order name-judgement "(strict_total_order?[real])" real_props nil) (real_ge_is_total_ordernil) real_props nil (AND const-decl "[bool, bool -nil)) (<= const-declnil)) (min const-decl "nil)java.lang.StringIndexOutOfBoundsException: Index 25 out of bo (posreal_min application-judgement "{z: nil)) (continuous? const-decl "bool" continuous_functions "analysis/") (continuous_rv? const-decl "bool" cont_real_vect2 nil) (real_minus_real_is_real application-judgement "real" reals nil) (continuous_rv? const-decl "bool" cont_real_vect2 nil)) nil) (pair_cont_rv-3 nil 3445358131 ("" (skeep) (" (typepred "r1) (("" ( nil) (("" (expand "continuous_rv") ((continuous_funnonempty-type-eq-declnil continuous_functions (("" ( (continuous? const- "" continuous_functionsanalysis) (("" (inst?) 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(("" (assert) (("" (use-with "sq_lt" 1) ) nil (hide 2) "" java.lang.StringIndexOutOfBoundsException: Index 64 out of bounds for length 64 "sq_norm" (("" * real vectors) "sq_lt" realreals) formula-declnil "/java.lang.StringIndexOutOfBoundsException: Range [41, 42) out o )nil ) " ) " java.lang.StringIndexOutOfBoundsException: Index 38 out of bounds for length 38 1 ( "typepred" (("" (hide -3 java.lang.StringIndexOutOfBoundsException: Index 47 out of bounds for length 47 ( " (expand"") (("" (case "sqv((# x := rr1(x!1), y := rr2(x!1) #) - (# x := rr1(x0), y := rr2(x0) #)) = sq(rr1(x!1) - rr1(x0)) + sq(rr2(x!1) - rr2(x0))") (("" (assert) (("1" (replace -1) (("1" (postpone) ( ") (postpone) nil))))))))))))))))))))))))))))))))))))))))))))))))))))))) "java.lang.StringIndex nil) nil nil) (pair_cont_rv-2 nil 34 " (";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" (skeep) ((";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" (typepred "rr1") ((";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" (typepred "rr2") ((";; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" (expand "continuous_rv") ((";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" (expand "continuous?") ((";; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" (skeep) ((";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" (?) ((";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" (inst? ((";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" (expand "continuous?") ((";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" (expand "convergence") ((";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv"(("" (hide (( (flatten) ( (hide -1 -3) ((";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" expand"") ((";;; Proof pair_cont_rv-1 for formula vect_cont_2D.pair_cont_rv" (skosimp*) (("(assert) (inst - "sqrt(epsilon! 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2026-04-02