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nil)
("2"
(hide-all-but 3)
(("2" (grind) nil nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2" (hide 2)
(("2" (flatten)
(("2"
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(("2"
(hide -1)
(("2"
(case
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(("1"
(replace -1)
(("1"
(hide -1)
(("1"
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:exclude
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nil
nil))
nil))
nil)
("2"
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(("2"
(expand "horizontal_tca")
(("2"
(cross-mult 1)
(("2" (grind) nil nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("3" (ground) nil nil)
("4" (hide 2) (("4" (ground) nil nil)) nil))
nil))
nil))
nil)
("2" (hide-all-but 1) (("2" (grind) nil nil))
nil))
nil))
nil))
nil)
("2" (hide-all-but 1)
(("2" (expand "CA_cyl_conflict_ever?")
(("2" (rewrite "cd3d_ever" :dir rl)
(("2" (rewrite "cd3d_ever" :dir rl)
(("2" (expand "conflict?")
(("2" (ground)
(("1" (skosimp*)
(("1" (inst + "nnt!1")
(("1" (grind) nil nil)) nil))
nil)
("2" (skosimp*)
(("2" (inst + "nnt!1")
(("2" (grind) nil nil)) nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2" (hide 2)
(("2" (expand "zero")
(("2" (expand "vect2")
(("2" (rewrite "vx_distr_sub")
(("2" (rewrite "vy_distr_sub")
(("2" (rewrite "vy_distr_sub")
(("2" (rewrite "vx_distr_sub")
(("2" (ground) nil nil)) nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((zero const-decl "Vector" vectors_2D "vectors/")
(Vector type-eq-decl nil vectors_2D "vectors/")
(Vector type-eq-decl nil vectors_3D "vectors/")
(vect2 const-decl "Vect2" vect_3D_2D "vectors/")
(Vect3 type-eq-decl nil vectors_3D_def "vectors/")
(Vect2 type-eq-decl nil vectors_2D_def "vectors/")
(neg_nzv application-judgement "Nz_vector" vectors_3D "vectors/")
(zero const-decl "Vector" vectors_3D "vectors/")
(Nz_vect3 type-eq-decl nil vectors_3D "vectors/")
(horizontal_tca const-decl "real" definitions nil)
(Nz_vect2 type-eq-decl nil vectors_2D "vectors/")
(* const-decl "Vector" vectors_3D "vectors/")
(+ const-decl "Vector" vectors_3D "vectors/")
(neg_neg formula-decl nil vectors_3D "vectors/")
(sqv const-decl "nnreal" vectors_2D "vectors/")
(sqv_cont name-judgement "continuous_vr_fun" vect_cont_2D
"vect_analysis/")
(* const-decl "real" vectors_2D "vectors/")
(* const-decl "Vector" vectors_2D "vectors/")
(+ const-decl "Vector" vectors_2D "vectors/")
(sq const-decl "nonneg_real" sq "reals/")
(sq_nz_pos application-judgement "posreal" sq "reals/")
(conflict? const-decl "bool" space_3D nil)
(cd3d_ever formula-decl nil cd3d_ever nil)
(vx_distr_sub formula-decl nil vectors_3D "vectors/")
(vy_distr_sub formula-decl nil vectors_3D "vectors/"))
shostak))
(vertical_los_crit_CA_independent_TCC1 0
(vertical_los_crit_CA_independent_TCC1-1 nil 3562944353
("" (skosimp*) (("" (replace -5) (("" (assert) nil nil)) nil)) nil)
((dot_zero_right formula-decl nil vectors_2D "vectors/")
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil))
nil))
(vertical_los_crit_CA_independent_TCC2 0
(vertical_los_crit_CA_independent_TCC2-1 nil 3562944353
("" (skosimp*) (("" (replace -5) (("" (assert) nil nil)) nil)) nil)
((dot_zero_right formula-decl nil vectors_2D "vectors/")
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil))
nil))
(vertical_los_crit_CA_independent 0
(vertical_los_crit_CA_independent-1 nil 3520096277
("" (skeep)
(("" (lemma "vs_bound_crit_indep")
(("" (expand "vertical_los_crit_CA?")
(("" (expand "vertical_los_criterion?")
(("" (flatten)
((""
(inst - "dv_to_ec(vertical_decision_vect)(s, v)" "nv" "s"
"v")
(("" (assert) nil nil)) nil))
nil))
nil))
nil))
nil))
nil)
((H formal-const-decl "posreal" vertical_los_crit_CA nil)
(D formal-const-decl "posreal" vertical_los_crit_CA 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 nonempty-type-from-decl nil reals 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)
(boolean nonempty-type-decl nil booleans nil)
(number nonempty-type-decl nil numbers nil)
(vs_bound_crit_indep formula-decl nil vertical_los_criterion nil)
(vertical_los_criterion? const-decl "bool" vertical_los_criterion
nil)
(vertical_decision_vect_antisymmetric name-judgement
"Decision_Vector" vertical_los_crit_CA 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)
(numfield nonempty-type-eq-decl nil number_fields nil)
(- const-decl "[numfield -> numfield]" number_fields nil)
(Sign type-eq-decl nil sign "reals/")
(Vect3 type-eq-decl nil vectors_3D_def "vectors/")
(IMPLIES const-decl "[bool, bool -> bool]" booleans nil)
(Vector type-eq-decl nil vectors_3D "vectors/")
(zero const-decl "Vector" vectors_3D "vectors/")
(AND const-decl "[bool, bool -> bool]" booleans nil)
(- const-decl "Vector" vectors_3D "vectors/")
(Decision_Vector nonempty-type-eq-decl nil vertical_los_crit_CA
nil)
(dv_to_ec const-decl "Sign" vertical_los_crit_CA nil)
(vertical_decision_vect const-decl
"{vq: Vect3 | (s /= zero OR v /= zero) IMPLIES vq /= zero}"
vertical_los_crit_CA 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)
(dv_to_ec_antisymmetric application-judgement
"Vertical_Strategy[D, H]" vertical_los_crit_CA nil)
(real_times_real_is_real application-judgement "real" reals nil)
(real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(vertical_los_crit_CA? const-decl "bool" vertical_los_crit_CA nil))
shostak))
(vertical_los_crit_CA_independent_strong_TCC1 0
(vertical_los_crit_CA_independent_strong_TCC1-1 nil 3562945349
("" (skosimp*) (("" (replace -4) (("" (assert) nil nil)) nil)) nil)
((dot_zero_right formula-decl nil vectors_2D "vectors/")
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil))
nil))
(vertical_los_crit_CA_independent_strong_TCC2 0
(vertical_los_crit_CA_independent_strong_TCC2-1 nil 3562945349
("" (skosimp*) (("" (replace -4) (("" (assert) nil nil)) nil)) nil)
((dot_zero_right formula-decl nil vectors_2D "vectors/")
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil))
nil))
(vertical_los_crit_CA_independent_strong 0
(vertical_los_crit_CA_independent_strong-1 nil 3562945351
("" (skeep)
(("" (lemma "vertical_los_crit_CA_independent")
(("" (inst?)
(("" (assert)
(("" (assert)
(("" (name "epsi" "dv_to_ec(vertical_decision_vect)(s, v)")
(("" (replace -1)
(("" (expand "dv_to_ec" -1)
(("" (expand "vertical_decision_vect" -1)
(("" (lift-if)
(("" (split -1)
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(hide-all-but (-1 1))
(("1" (ground) nil nil))
nil)
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(replace -1)
(("2"
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(("2"
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(("1"
(case "sign(s`z) = 1")
(("1"
(replace -1)
(("1"
(replace -2)
(("1"
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(("1"
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(("1"
(case "NOT v`z>=0")
(("1"
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nil
nil))
nil)
("2"
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(("2"
(expand "sign")
(("2"
(case "v = zero")
(("1"
(replace -1)
(("1"
(assert)
nil
nil))
nil)
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(case
"sqv(v)=0")
(("1"
(lemma
"vectors_3D.sqv_eq_0")
(("1"
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nil
nil))
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(("2"
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(("1"
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(rewrite
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nil
nil))
nil))
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(case
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(("1"
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nil
nil)
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(("2"
(case
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(("1"
(lemma
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(("1"
(inst
-
"v")
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nil
nil))
nil))
nil)
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(assert)
(("2"
(replace
-1)
(("2"
(assert)
(("2"
(rewrite
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(("2"
(rewrite
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(("2"
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(("2"
(rewrite
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(("2"
(assert)
(("2"
(replace
-4)
(("2"
(assert)
(("2"
(mult-by
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(("1"
(assert)
(("1"
(expand
"abs")
(("1"
(propax)
nil
nil))
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(invoke
(case
"%1")
(!
1
2))
(("1"
(assert)
nil
nil)
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(hide
2)
(("2"
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"horizontal_tca"
1)
(("2"
(cross-mult
1)
(("2"
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(lemma
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nil
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("2"
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(("2" (assert) nil nil))
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(("2"
(case "sign(s`z) = sign(v`z)")
(("1"
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(("1"
(hide 3)
(("1"
(case
"epsi * (s + horizontal_tca((vect2(s)), vect2(v)) * v)`z >=0")
(("1"
(typepred "epsi")
(("1"
(expand "abs")
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(lift-if)
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nil
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nil)
("2"
(hide 4)
(("2"
(case
"FORALL (egr:real): sign(egr)*egr >= 0")
(("1"
(inst-cp - "v`z")
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(inst - "s`z")
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(("1"
(mult-by
--> --------------------
--> maximum size reached
--> --------------------
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Ziele
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