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(H formal-const-decl "posreal" space_3D nil )
(Vector type-eq-decl nil vectors_2D "vectors/" )
(nnreal type-eq-decl nil real_types nil )
(sqv const-decl "nnreal" vectors_2D "vectors/" )
(Vect2 type-eq-decl nil vectors_2D_def "vectors/" )
(vect2 const-decl "Vect2" vect_3D_2D "vectors/" )
(sq const-decl "nonneg_real" sq "reals/" )
(D formal-const-decl "posreal" space_3D nil )
(Sp_vect3 type-eq-decl nil space_3D nil )
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil )
(int_abs_is_nonneg application-judgement "{j: nonneg_int | j >= i}"
real_defs nil )
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil )
(* const-decl "real" vectors_2D "vectors/" )
(posreal_times_posreal_is_posreal application-judgement "posreal"
real_types nil )
(zero const-decl "Vector" vectors_3D "vectors/" ))
nil ))
(verticalCoordinationConflict_TCC1 0
(verticalCoordinationConflict_TCC1-1 nil 3470498979
("" (subtype-tcc) nil nil )
((boolean nonempty-type-decl nil booleans nil )
(bool nonempty-type-eq-decl nil booleans nil )
(NOT const-decl "[bool -> bool]" booleans nil )
(number nonempty-type-decl nil numbers nil )
(number_field_pred const-decl "[number -> boolean]" 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 )
(>= const-decl "bool" reals nil )
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(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 )
(real_minus_real_is_real application-judgement "real" reals nil )
(vect2 const-decl "Vect2" vect_3D_2D "vectors/" )
(* const-decl "real" vectors_2D "vectors/" )
(sqv const-decl "nnreal" vectors_2D "vectors/" )
(sq const-decl "nonneg_real" sq "reals/" )
(zero const-decl "Vector" vectors_3D "vectors/" )
(real_times_real_is_real application-judgement "real" reals nil )
(posreal_times_posreal_is_posreal application-judgement "posreal"
real_types nil )
(real_plus_real_is_real application-judgement "real" reals nil ))
nil ))
(verticalCoordinationConflict_asymm 0
(verticalCoordinationConflict_asymm-2 "" 3504835285
("" (skeep)
(("" (expand "verticalCoordinationConflict" )
(("" (rewrite "vz_neg" )
(("" (rewrite "vect2_neg" )
(("" (rewrite "vect2_neg" )
(("" (rewrite "sqv_neg" )
(("" (rewrite "sqv_neg" )
(("" (rewrite "neg_dot_neg" )
(("" (rewrite "vz_neg" )
(("" (rewrite "sqv_eq_0" :dir rl)
(("" (rewrite "sqv_eq_0" :dir rl)
((""
(case "v`z = 0 OR
vect2(v) = zero OR
sq(vect2(s) * vect2(v)) + sq(D) * sqv(vect2(v)) -
sqv(vect2(s)) * sqv(vect2(v))
< 0
OR
eq (v`z,
sq(vect2(s) * vect2(v)) + sq(D) * sqv(vect2(v)) -
sqv(vect2(s)) * sqv(vect2(v)),
s`z * sqv(vect2(v)) - v`z * (vect2(s) * vect2(v)))")
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(lemma "vectors_3D.sqv_eq_0" )
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(inst - "s" )
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nil ))
nil ))
nil ))
nil ))
nil ))
nil )
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(lemma
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(inst - "s" )
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(assert )
nil
nil ))
nil ))
nil ))
nil )
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(flatten)
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(("1" (assert ) nil nil )
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(replace -1)
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(assert )
nil
nil ))
nil )
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("4"
(lemma "eq_neg" )
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(inst?)
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nil
nil )
("2"
(assert )
nil
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
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nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
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(("2" (assert )
(("2"
(case
"gt(v`z,
sq(vect2(s) * vect2(v)) + sq(D) * sqv(vect2(v)) -
sqv(vect2(s)) * sqv(vect2(v)),
s`z * sqv(vect2(v)) - v`z * (vect2(s) * vect2(v)))")
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(assert )
nil
nil ))
nil ))
nil ))
nil )
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(lemma
"break_symmetry_neg" )
(("2"
(inst - "v" )
nil
nil ))
nil ))
nil ))
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nil
nil ))
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(lemma "eq_neg" )
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(inst?)
(("2"
(assert )
nil
nil ))
nil ))
nil ))
nil ))
nil )
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(flatten)
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(("2"
(rewrite
"eq_correct_1" )
(("2"
(rewrite
"gt_correct_1" )
(("2"
(rewrite
"gt_correct_1" )
(("2"
(assert )
nil
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
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nil ))
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nil ))
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nil ))
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nil ))
nil ))
nil ))
nil )
((sq_nz_pos application-judgement "posreal" sq "reals/" )
(nnreal_times_nnreal_is_nnreal application-judgement "nnreal"
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(Vector type-eq-decl nil vectors_3D "vectors/" )
(Vect3 type-eq-decl nil vectors_3D_def "vectors/" ))
shostak)
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(("" (rewrite "vect2_neg" )
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((sq_nz_pos application-judgement "posreal" sq "reals/" )
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(* const-decl "real" vectors_2D "vectors/" )
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(Vector type-eq-decl nil vectors_3D "vectors/" )
(Vect3 type-eq-decl nil vectors_3D_def "vectors/" ))
nil ))
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nil ))
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(/ const-decl "[numfield, nznum -> numfield]" number_fields nil )
(nznum nonempty-type-eq-decl nil number_fields nil )
(sqv const-decl "nnreal" vectors_2D "vectors/" )
(nnreal type-eq-decl nil real_types nil )
(nonzero_real nonempty-type-eq-decl nil reals nil )
(div_cancel3 formula-decl nil real_props nil )
(real_div_nzreal_is_real application-judgement "real" reals nil )
(> const-decl "bool" reals nil )
(horizontal_tca const-decl "real" definitions nil )
(Nz_vect2 type-eq-decl nil vectors_2D "vectors/" )
(NOT const-decl "[bool -> bool]" booleans nil )
(real_plus_real_is_real application-judgement "real" reals nil )
(/= const-decl "boolean" notequal nil )
(zero const-decl "Vector" vectors_3D "vectors/" )
(break_symmetry_neg formula-decl nil definitions_3D nil )
(Nz_vect3 type-eq-decl nil vectors_3D "vectors/" )
(- const-decl "Vector" vectors_3D "vectors/" )
(minus_odd_is_odd application-judgement "odd_int" integers nil )
(sign const-decl "Sign" sign "reals/" )
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil )
(sign_neg_clos application-judgement "Sign" sign "reals/" )
(minus_real_is_real application-judgement "real" reals nil )
(vz_neg formula-decl nil vectors_3D "vectors/" )
(Vector type-eq-decl nil vectors_3D "vectors/" )
(real_times_real_is_real application-judgement "real" reals nil )
(boolean nonempty-type-decl nil booleans nil )
(bool nonempty-type-eq-decl nil booleans nil )
(OR const-decl "[bool, bool -> bool]" booleans nil )
(number nonempty-type-decl nil numbers nil )
(number_field_pred const-decl "[number -> boolean]" 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 )
(>= const-decl "bool" reals nil )
(numfield nonempty-type-eq-decl nil number_fields nil )
(* const-decl "[numfield, numfield -> numfield]" number_fields nil )
(Vector type-eq-decl nil vectors_2D "vectors/" )
(* const-decl "real" vectors_2D "vectors/" )
(Vect3 type-eq-decl nil vectors_3D_def "vectors/" )
(Vect2 type-eq-decl nil vectors_2D_def "vectors/" )
(vect2 const-decl "Vect2" vect_3D_2D "vectors/" )
(= const-decl "[T, T -> boolean]" equalities nil )
(zero const-decl "Vector" vectors_2D "vectors/" ))
nil )
(vs_los_vertical_strategy-1 nil 3478949740
("" (judgement-tcc) nil nil ) nil nil )))
Messung V0.5 in Prozent C=100 H=100 G=100
¤ Dauer der Verarbeitung: 0.347 Sekunden
(vorverarbeitet am 2026-04-28)
¤
*© Formatika GbR, Deutschland