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/top,limit_vect_real,limit_vect,cont_vect,metric_vect,deriv_sigma,deriv_real_vect_def,vect_fun_ops,deriv_dot_prod,deriv_real_vect,deriv_real_vect2,vect_fun_ops_rv,deriv_cont_2D,cont_real_vect2,limit_real_vect2,vect_metric_space,vect3_metric_space,vect3_Heine,limit_vect2_real,limit_vect3_real,limit_vect2_vect2,cont_vect2_real,cont_vect3_real,cont_vect2_vect2,vect2_cont_comp,vect2_cont_comp2,vect2_cont_dot,vect_cont_2D,vect_deriv_2D,vect_chain_rule,four_vects_2D_continuity,vect2_metric_space,vect2_Heine,vect_vect_2D_continuity,deriv_sincos_ax
trig/trig_basic
reals/real_fun_preds,bound_defs,sigma_below_sub,abs_lems,sign,sqrt_exists,root,real_fun_ops,sigma_below,bounded_reals,intervals_real,real_fun_props,min_max,real_facts,sigma,sqrt,reals_complete_more,sq
analysis/continuous_functions_props,metric_spaces,lim_of_functions,derivatives,sqrt_derivative,finite_sets_aux,deriv_domain,open_sets,top_sequences,real_metric_space,real_fun_on_compact_sets,continuous_functions,continuity_interval,uniform_continuity,inverse_continuous_functions,prelude_sets_aux,derivative_props,cross_metric_cont,monotone_subsequence,convergence_ops,derivative_inverse,convergence_functions,deriv_domain_def,epsilon_lemmas,composition_continuous,derivatives_def,compactness,cross_metric_spaces,continuity_ms,continuity_ms_def,cross_metric_real_fun,real_fun_supinf,metric_spaces_def,sequence_props,chain_rule,cross_metric_uniform_continuity,continuous_lambda,lim_of_composition,convergence_sequences,continuity_props,derivatives_alt
finite_sets/finite_sets_minmax,finite_sets_inductions
vectors/vectors_3D_def,vect2_fun_ops,perpendicular_2D,vect3_fun_ops,det_2D,vectors_3D,lines_2D,distance_3D,vectors,distance_2D,vectors_2D,distance,vect_fun_ops,vectors_2D_def
top:limit_vect_real,limit_vect,cont_vect,metric_vect,deriv_sigma,deriv_dot_prod,deriv_real_vect,deriv_real_vect2,deriv_cont_2D,vect_metric_space,vect3_metric_space,vect3_Heine,limit_real_vect2,limit_vect2_real,limit_vect3_real,limit_vect2_vect2,cont_real_vect2,cont_vect2_real,cont_vect3_real,cont_vect2_vect2,vect2_cont_comp,vect2_cont_comp2,vect2_cont_dot,vect_cont_2D,vect_deriv_2D,vect_chain_rule,four_vects_2D_continuity,vect2_metric_space,vect2_Heine,vect_vect_2D_continuity,deriv_sincos_ax
limit_vect_real:vectors@vect_fun_ops,reals@abs_lems,analysis@epsilon_lemmas
limit_vect:vectors@vectors,reals@abs_lems,analysis@epsilon_lemmas
cont_vect:vectors@vectors,limit_vect
metric_vect:vectors@vectors,cont_vect
deriv_sigma:analysis@deriv_domain_def,analysis@derivatives,reals@sigma_below,deriv_real_vect_def,reals@sigma_below_sub
deriv_real_vect_def:analysis@deriv_domain_def,analysis@derivatives,vectors@vectors,vect_fun_ops
vect_fun_ops:vectors@vectors
deriv_dot_prod:analysis@deriv_domain_def,analysis@derivatives,vectors@vectors,deriv_real_vect_def,deriv_sigma
deriv_real_vect:analysis@deriv_domain_def,deriv_real_vect_def,deriv_dot_prod
deriv_real_vect2:analysis@deriv_domain_def,analysis@deriv_domain,analysis@derivatives,vectors@det_2D,vect_fun_ops_rv
vect_fun_ops_rv:vectors@vectors_2D
deriv_cont_2D:analysis@deriv_domain_def,cont_real_vect2,deriv_real_vect2,analysis@derivatives
cont_real_vect2:limit_real_vect2,analysis@continuous_functions,analysis@real_fun_supinf,reals@abs_lems,analysis@epsilon_lemmas
limit_real_vect2:vectors@distance_2D,vect_fun_ops_rv,reals@abs_lems
vect_metric_space:vectors@distance,analysis@metric_spaces
vect3_metric_space:vectors@distance_3D,analysis@metric_spaces
vect3_Heine:vect3_metric_space,analysis@real_metric_space,analysis@cross_metric_real_fun,analysis@continuity_ms
limit_vect2_real:vectors@vect2_fun_ops,reals@abs_lems,analysis@epsilon_lemmas
limit_vect3_real:vectors@vect3_fun_ops,reals@abs_lems,analysis@epsilon_lemmas
limit_vect2_vect2:vectors@vect2_fun_ops,reals@abs_lems,analysis@epsilon_lemmas
cont_vect2_real:limit_vect2_real
cont_vect3_real:limit_vect3_real
cont_vect2_vect2:limit_vect2_vect2
vect2_cont_comp:cont_vect2_real,cont_vect2_vect2,analysis@continuous_lambda,cont_real_vect2
vect2_cont_comp2:cont_vect2_real,cont_real_vect2
vect2_cont_dot:cont_vect2_real,cont_vect2_vect2,analysis@continuous_lambda,cont_real_vect2
vect_cont_2D:analysis@continuous_lambda,vect2_cont_comp,vect2_cont_dot
vect_deriv_2D:analysis@deriv_domain_def,deriv_real_vect2
vect_chain_rule:analysis@deriv_domain_def,analysis@derivative_props,analysis@lim_of_composition,vect_deriv_2D,analysis@chain_rule,vect_fun_ops_rv
four_vects_2D_continuity:vectors@vectors_2D
vect2_metric_space:vectors@distance_2D,analysis@metric_spaces
vect2_Heine:vect2_metric_space,analysis@real_metric_space,analysis@cross_metric_real_fun,analysis@continuity_ms
vect_vect_2D_continuity:vectors@vectors_2D
deriv_sincos_ax:analysis@deriv_domain,trig@trig_basic,analysis@derivatives
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2026-03-28
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