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/top,util,horizontal_dist_convexity,vertical_dist_convexity,definitions,gs_only,horizontal,trk_only,line_solutions,horizontal_criteria,predicate_coordination_2D,opt_trk_gs,horizontal_criterion_line,tangent_line,trk_line,gs_line,opt_line,horizontal_cr,repulsive,horizontal_los_criterion,horizontal_los,old_horiz_los_criterion,circle_optimum_2D,wedge_optimum_2D,vertical_los_criterion,vertical,space_3D,definitions_3D,vertical_los_crit_CA,cd3d,circle_criterion,vz_criteria,cd_vertical,Lookahead,omega_2D,cd2d,cd3d_ever,cd2d_ever,omega_v2,horizontal_sq_dtca,cd2d_inf,cd3d_inf,bands_util,track,gs_bands_2D,trk_bands_2D,bands_2D,fseqs_aux_2D,vertical_criterion,predicate_coordination,circle_solutions,criteria_3D,gs_circle,trk_circle,opt_vertical,vs_only,vs_circle,vertical_cr,cd_sphere,delay_3D,tca_3D,tca_3D_interval,cr3d,vs_bands,bands_3D,bands_1D,fseqs_aux_vertical,repulsive_iterative,losr_iterative,kb,flightplan,cd3d_si,cd3d_ii,bands_si
trig/taylor_help,sincos_def,acos,atan2,asin,trig_inverses,trig_basic,atan,sincos
vect_analysis/cont_vect2_real,vect2_metric_space,limit_vect2_vect2,vect2_cont_comp,limit_real_vect2,vect2_cont_dot,vect_fun_ops_rv,limit_vect2_real,vect_deriv_2D,cont_vect2_vect2,cont_real_vect2,deriv_real_vect2,vect2_Heine,vect_cont_2D
structures/sort_array,for_iterate,permutations,min_array_def,fseqs_ops,min_seq,sort_seq,max_array_def,below_arrays,fseqs,seqs,fsq,concat_arrays,sort_seq_lems,permutations_fseq,max_seq,sort_fseq,permutations_seq,sort_array_def
reals/real_fun_preds,bound_defs,factorial,binomial,sigma_below_sub,abs_lems,poly_rew,sign,sign3,sqrt_exists,root,polynomials,harmonic_polynomials,convex_functions,quadratic_2b,real_fun_ops,sigma_below,bounded_reals,intervals_real,quad_minmax,quadratic,real_fun_props,sigma_upto,sigma_swap,min_max,real_facts,connected_set,product,sigma,sqrt,reals_complete_more,sq,sigma_nat
trig_fnd/trig_values,atan_approx,sincos_def,trig_ineq,acos,sincos_phase,atan2,asin,trig_inverses,trig_basic,tan_quad,sincos_quad,atan,sincos,atan_values,to2pi
analysis/lim_of_functions,derivatives,open_sets,interm_value_thm,real_fun_continuity_equiv,continuous_lambda,convex_function_props,convergence_functions,sequence_props,cross_metric_spaces,derivatives_alt,indefinite_integral,derivative_props,continuity_ms_def,metric_spaces,continuity_of_max_min,real_metric_space,partitions_scaf,uniform_continuity,prelude_sets_aux,integral_prep,integral_cont,metric_spaces_def,step_fun_def,integral,integral_split_scaf,integral_def,integral_pulse,continuous_functions_props,derivatives_def,top_sequences,epsilon_lemmas,continuity_ms,integral_bounded,inverse_continuous_functions,continuity_props,integral_cont_scaf,lim_of_composition,real_fun_supinf,step_fun_scaf,cross_metric_real_fun,chain_rule,cross_metric_cont,deriv_domain,taylors,integral_split,polynomial_deriv,sqrt_derivative,continuous_functions_more,fundamental_theorem,continuity_interval,restrict2_deriv,continuous_functions,deriv_domain_def,real_fun_on_compact_sets,integral_step,interval_minmax,cross_metric_uniform_continuity,finite_sets_aux,unif_cont_fun,composition_continuous,ms_composition_cont,metric_space_real_fun,convergence_sequences,monotone_subsequence,deriv_domains,convergence_ops,compactness,derivative_inverse,nth_derivatives,step_fun_props
analysis_ax/continuous_functions_props,derivatives,nth_derivatives,deriv_domain,deriv_domains,continuous_functions,taylors,derivative_props,deriv_domain_def,derivatives_def
finite_sets/func_composition,finite_sets_minmax,finite_sets_inductions,finite_sets_card_eq,finite_sets_below
vectors/vectors_3D_def,closest_approach_2D,parallel_2D,vect2_fun_ops,perpendicular_2D,det_2D,vectors_3D,lines_2D,law_cos_pos_2D,distance_2D,linear_transformations_2D,vectors_2D,vect_3D_2D,vectors_2D_def,basis_2D
ints/factorial,max_below
top:util,horizontal_dist_convexity,vertical_dist_convexity,definitions,gs_only,trk_only,opt_trk_gs,horizontal,horizontal_criteria,horizontal_criterion_line,line_solutions,tangent_line,predicate_coordination_2D,trk_line,gs_line,opt_line,horizontal_cr,repulsive,horizontal_los_criterion,horizontal_los,vertical_los_criterion,vertical_los_crit_CA,cd_vertical,omega_v2,horizontal_sq_dtca,cd2d,cd2d_inf,cd3d_inf,bands_util,gs_bands_2D,track,trk_bands_2D,bands_2D,vertical,vz_criteria,space_3D,circle_criterion,vertical_criterion,circle_solutions,predicate_coordination,criteria_3D,gs_circle,trk_circle,opt_vertical,vs_only,vs_circle,vertical_cr,cd3d,cd_sphere,delay_3D,tca_3D,tca_3D_interval,cr3d,vs_bands,bands_3D,repulsive_iterative,losr_iterative,kb,flightplan,cd3d_si,cd3d_ii,bands_si,fseqs_aux_2D,fseqs_aux_vertical
util:reals@sign,reals@sqrt
horizontal_dist_convexity:analysis@convex_function_props,vectors@vectors_2D
vertical_dist_convexity:analysis@convex_function_props,vectors@vectors_3D
definitions:vectors@vectors_2D,vectors@det_2D,vectors@closest_approach_2D,reals@quad_minmax
gs_only:reals@min_max,vectors@vectors_2D,vectors@det_2D,reals@quadratic_2b,horizontal
horizontal:reals@sign,reals@quadratic_2b,reals@quad_minmax,vectors@det_2D,vectors@closest_approach_2D,definitions,vectors@parallel_2D,horizontal_dist_convexity
trk_only:vectors@vectors_2D,vectors@det_2D,reals@quadratic_2b,horizontal,line_solutions
line_solutions:horizontal_criteria,vectors@linear_transformations_2D
horizontal_criteria:predicate_coordination_2D,horizontal
predicate_coordination_2D:definitions
opt_trk_gs:definitions,horizontal
horizontal_criterion_line:horizontal_criteria,tangent_line,vectors@linear_transformations_2D
tangent_line:line_solutions,vectors@parallel_2D
trk_line:trk_only,tangent_line
gs_line:gs_only,tangent_line
opt_line:opt_trk_gs,tangent_line
horizontal_cr:gs_line,trk_line,opt_line
repulsive:horizontal,predicate_coordination_2D,vectors@basis_2D
horizontal_los_criterion:repulsive
horizontal_los:vectors@perpendicular_2D,horizontal,old_horiz_los_criterion,gs_only,trk_only,opt_trk_gs,circle_optimum_2D,wedge_optimum_2D
old_horiz_los_criterion:definitions,predicate_coordination_2D
circle_optimum_2D:vectors@vectors_2D,horizontal,vectors@law_cos_pos_2D,vectors@basis_2D,analysis@interm_value_thm,analysis@continuous_lambda
wedge_optimum_2D:vectors@vectors_2D,horizontal,vectors@law_cos_pos_2D,vectors@basis_2D,analysis@interm_value_thm,analysis@continuous_lambda,reals@quad_minmax
vertical_los_criterion:vertical,space_3D
vertical:reals@sq,reals@sign,reals@abs_lems,definitions,vertical_dist_convexity
space_3D:util,definitions_3D,trk_only,horizontal,vertical
definitions_3D:definitions,vectors@vect_3D_2D
vertical_los_crit_CA:definitions_3D,vertical_los_criterion,cd3d,cd3d_ever
cd3d:circle_criterion,cd_vertical,omega_2D,util
circle_criterion:space_3D,horizontal_criteria,vz_criteria
vz_criteria:vertical
cd_vertical:vertical,util,Lookahead,reals@min_max
Lookahead:
omega_2D:cd2d,horizontal_criteria,vect_analysis@vect2_Heine,analysis@metric_space_real_fun,analysis@ms_composition_cont,analysis@continuity_of_max_min,analysis@convex_function_props
cd2d:horizontal,vect_analysis@vect_cont_2D,vect_analysis@vect2_cont_dot,vectors@det_2D,tangent_line,Lookahead
cd3d_ever:cd2d_ever,omega_2D,space_3D,util
cd2d_ever:reals@sign,reals@quadratic_2b,reals@quad_minmax,vectors@vectors_2D,horizontal
omega_v2:omega_2D,analysis@continuity_of_max_min,analysis@metric_space_real_fun
horizontal_sq_dtca:vect_analysis@vect_deriv_2D,tangent_line
cd2d_inf:horizontal,vect_analysis@vect_cont_2D,vect_analysis@vect2_cont_dot,vectors@det_2D,tangent_line
cd3d_inf:circle_criterion,omega_2D,cd2d,util,cd2d_inf
bands_util:definitions_3D,track
track:trig_fnd@to2pi,definitions
gs_bands_2D:analysis@interm_value_thm,vect_analysis@vect2_cont_dot,omega_v2,gs_line,line_solutions,bands_util
trk_bands_2D:analysis@interm_value_thm,vect_analysis@vect2_cont_dot,trig_fnd@sincos,omega_v2,trk_line,line_solutions,bands_util
bands_2D:gs_bands_2D,trk_bands_2D,fseqs_aux_2D
fseqs_aux_2D:structures@sort_fseq,structures@fseqs_ops,trig_fnd@to2pi
vertical_criterion:predicate_coordination,circle_criterion,analysis@interm_value_thm
predicate_coordination:definitions_3D
circle_solutions:circle_criterion
criteria_3D:vertical_criterion,horizontal_criterion_line
gs_circle:gs_only,circle_solutions,vertical_criterion
trk_circle:trk_only,circle_solutions,vertical_criterion
opt_vertical:opt_trk_gs,vertical_criterion
vs_only:circle_criterion
vs_circle:vs_only,circle_solutions,vertical_criterion
vertical_cr:vs_circle,gs_circle,trk_circle,opt_vertical
cd_sphere:reals@sign,reals@quadratic_2b,reals@quad_minmax,vectors@vectors_3D
delay_3D:cd3d
tca_3D:circle_criterion,cd_vertical,omega_2D,util,analysis@metric_space_real_fun,analysis@real_fun_continuity_equiv,analysis@continuity_of_max_min
tca_3D_interval:tca_3D,cd3d
cr3d:horizontal_cr,vertical_cr,criteria_3D
vs_bands:cd_vertical,util,reals@connected_set
bands_3D:bands_2D,bands_1D,cd3d,bands_util
bands_1D:vs_bands,fseqs_aux_vertical
fseqs_aux_vertical:structures@sort_fseq,structures@fseqs_ops,trig_fnd@to2pi
repulsive_iterative:repulsive
losr_iterative:repulsive,reals@sign3,trig@sincos
kb:repulsive,track,trig_fnd@trig_values,trig_fnd@atan_values,horizontal,tangent_line
flightplan:definitions_3D,finite_sets@finite_sets_minmax
cd3d_si:cd3d,flightplan
cd3d_ii:flightplan,cd3d_si
bands_si:cd3d_si,bands_3D
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