module Snapshot_flyspeck_build_2010_02_12 = struct (* contains hypermap types, so must be loaded late in the build *) let hol_version = "2.20++";; let hol_snapshot = "7_31_09";; let svn_version = 1524;; (* I think, I didn't make a careful record. Definitely pre-1525. *) let the_filetable = [("general/flyspeck_utility.hl", 832); ("general/update_database_310.ml", 832); ("hypermap/hypermap.hl", 832); ("volume/vol1.hl", 737); ("trigonometry/trigonometry.hl", 719); ("general/flyspeck_utility.hl", 717); ("trigonometry/trig2.hl", 717); ("trigonometry/trig1.hl", 708); ("nonlinear/ineqdata3q1h.hl", 707); ("nonlinear/ineq.hl", 707); ("leg/enclosed_def.hl", 707); ("leg/quadratic_root_plus_def.hl", 706); ("leg/abc_of_quadratic_def.hl", 705); ("leg/muR_def.hl", 704); ("leg/collect_geom.hl", 703); ("leg/cayleyR_def.hl", 678); ("leg/affprops.hl", 677); ("leg/AFF_SGN_TAC.hl", 677); ("leg/geomdetail.hl", 677); ("pervasives", 673)];; let the_constants = [ (* ("geomdetail'simplex", `:(real^3->bool)->(real^3->bool)->bool`); *) ("map3", `:real^3->real^3->real^3`); ("canon", `:(A)hypermap->((A)loop->bool)->((A->bool)->bool)->bool`); ("is_flag", `:(A)hypermap->((A->bool)->bool)->bool`); ("is_gen_flag", `:(A)hypermap->(A->bool)->((A->bool)->bool)->bool`); ("edge_nondegenerate", `:(A)hypermap->bool`); ("face_collection", `:(A)hypermap->(A)loop->bool`); ("face_loop", `:(A)hypermap->A->(A)loop`); ("res", `:(A->A)->(A->bool)->A->A`); ("team", `:(A)hypermap->(A)loop->(A->bool)->bool`); ("iso", `:(A)hypermap->(B)hypermap->bool`); ("quotient", `:(A)hypermap->((A)loop->bool)->(A->bool)hypermap`); ("nmap", `:(A)hypermap->((A)loop->bool)->(A->bool)->A->bool`); ("fmap", `:(A)hypermap->((A)loop->bool)->(A->bool)->A->bool`); ("tail", `:(A)hypermap->((A)loop->bool)->A->A`); ("head", `:(A)hypermap->((A)loop->bool)->A->A`); ("choice", `:(A)hypermap->((A)loop->bool)->A->A->bool`); ("support_darts", `:((A)loop->bool)->A->bool`); ("quotient_darts", `:(A)hypermap->((A)loop->bool)->(A->bool)->bool`); ("is_normal", `:(A)hypermap->((A)loop->bool)->bool`); ("atom", `:(A)hypermap->(A)loop->A->A->bool`); ("is_node_going", `:(A)hypermap->(A)loop->A->A->bool`); ("in_path", `:(num->A)->num->A->bool`); ("set_dart_of", `:(num->A)->num->A->bool`); ("contour_of", `:(A)loop->A->num->A`); ("is_loop", `:(A)hypermap->(A)loop->bool`); ("top", `:(A)loop->num`); ("size", `:(A)loop->num`); ("inside", `:A->(A)loop->bool`); ("back", `:(A)loop->A->A`); ("next", `:(A)loop->A->A`); ("dart_of", `:(A)loop->A->bool`); ("tuple_loop", `:(A)loop->(A->bool)#(A->A)`); ("loop", `:(A->bool)#(A->A)->(A)loop`); ("shift_path", `:(num->A)->num->num->A`); ("is_Moebius_contour", `:(A)hypermap->(num->A)->num->bool`); ("is_splitting_component", `:(A)hypermap->A->bool`); ("planar_ind", `:(A)hypermap->real`); ("is_face_split", `:(A)hypermap->A->bool`); ("is_node_split", `:(A)hypermap->A->bool`); ("is_edge_split", `:(A)hypermap->A->bool`); ("is_face_merge", `:(A)hypermap->A->bool`); ("is_node_merge", `:(A)hypermap->A->bool`); ("is_edge_merge", `:(A)hypermap->A->bool`); ("inj_orbit", `:(A->A)->A->num->bool`); ("double_face_walkup", `:(A)hypermap->A->A->(A)hypermap`); ("double_node_walkup", `:(A)hypermap->A->A->(A)hypermap`); ("double_edge_walkup", `:(A)hypermap->A->A->(A)hypermap`); ("face_walkup", `:(A)hypermap->A->(A)hypermap`); ("node_walkup", `:(A)hypermap->A->(A)hypermap`); ("edge_walkup", `:(A)hypermap->A->(A)hypermap`); ("shift", `:(A)hypermap->(A)hypermap`); ("is_face_degenerate", `:(A)hypermap->A->bool`); ("is_node_degenerate", `:(A)hypermap->A->bool`); ("is_edge_degenerate", `:(A)hypermap->A->bool`); ("isolated_dart", `:(A)hypermap->A->bool`); ("is_inj_contour", `:(A)hypermap->(num->A)->num->bool`); ("face_contour", `:(A)hypermap->A->num->A`); ("node_contour", `:(A)hypermap->A->num->A`); ("is_contour", `:(A)hypermap->(num->A)->num->bool`); ("one_step_contour", `:(A)hypermap->A->A->bool`); ("face_path", `:(A)hypermap->A->num->A`); ("node_path", `:(A)hypermap->A->num->A`); ("edge_path", `:(A)hypermap->A->num->A`); ("connected_hypermap", `:(A)hypermap->bool`); ("dart_nondegenerate", `:(A)hypermap->A->bool`); ("dart_degenerate", `:(A)hypermap->A->bool`); ("simple_hypermap", `:(A)hypermap->bool`); ("planar_hypermap", `:(A)hypermap->bool`); ("plain_hypermap", `:(A)hypermap->bool`); ("number_of_components", `:(A)hypermap->num`); ("number_of_faces", `:(A)hypermap->num`); ("number_of_nodes", `:(A)hypermap->num`); ("number_of_edges", `:(A)hypermap->num`); ("set_of_components", `:(A)hypermap->(A->bool)->bool`); ("set_part_components", `:(A)hypermap->(A->bool)->(A->bool)->bool`); ("set_components", `:(A)hypermap->(A->bool)->(A->bool)->bool`); ("face_set", `:(A)hypermap->(A->bool)->bool`); ("node_set", `:(A)hypermap->(A->bool)->bool`); ("edge_set", `:(A)hypermap->(A->bool)->bool`); ("number_of_orbits", `:(A->bool)->(A->A)->num`); ("set_of_orbits", `:(A->bool)->(A->A)->(A->bool)->bool`); ("comb_component", `:(A)hypermap->A->A->bool`); ("is_in_component", `:(A)hypermap->A->A->bool`); ("is_path", `:(A)hypermap->(num->A)->num->bool`); ("go_one_step", `:(A)hypermap->A->A->bool`); ("face", `:(A)hypermap->A->A->bool`); ("node", `:(A)hypermap->A->A->bool`); ("edge", `:(A)hypermap->A->A->bool`); ("face_map", `:(A)hypermap->A->A`); ("node_map", `:(A)hypermap->A->A`); ("edge_map", `:(A)hypermap->A->A`); ("dart", `:(A)hypermap->A->bool`); ("tuple_hypermap", `:(A)hypermap->(A->bool)#(A->A)#(A->A)#(A->A)`); ("hypermap", `:(A->bool)#(A->A)#(A->A)#(A->A)->(A)hypermap`); ("orbit_map", `:(A->A)->A->A->bool`); ("POWER", `:(A->A)->num->A->A`); ("integer_point", `:(real^3->bool)->real^3->bool`); ("map1", `:real^3->real^3->bool`); ("close_hinhcau", `:real^3->real->real^3->bool`); ("set_of_ccube", `:(real^3->bool)->(real^3->bool)->bool`); ("ccube", `:real^3->real^3->bool`); ("vector_to_pair", `:real^3->real#real#real`); ("int_interval", `:real->real->real->bool`); ("map0", `:real^3->real^3->bool`); ("union_of_int_cube", `:real^3->real->real^3->bool`); ("int_ball", `:real^3->real->real^3->bool`); ("union_of_cube", `:real^3->real->real^3->bool`); ("set_of_cube", `:(real^3->bool)->(real^3->bool)->bool`); ("hinhcau", `:real^3->real->real^3->bool`); ("cube", `:real^3->real^3->bool`); ("sol", `:(real^3->bool)->real^3->real`); ("volume_prop_fix", `:((real^3->bool)->real)->bool`); ("eventually_radial_norm", `:real^A->(real^A->bool)->bool`); ("radial_norm", `:real->real^A->(real^A->bool)->bool`); ("parallel", `:real^N->real^N->bool`); ("unknown", `:bool`); ("arg_diff", `:real^2->real^2->real`); ("pl_angle", `:real^2->real`); ("polar_cycle_on", `:(real^2->real^2)->(real^2->bool)->bool`); ("polar_le", `:real^2->real^2->bool`); ("polar_lt", `:real^2->real^2->bool`); ("tri_itv", `:real->bool`); ("real_itv", `:real->real->real->bool`); ("sinV", `:real^A->real^A->real`); ("cosV", `:real^A->real^A->real`); ("atan2_temp", `:real#real->real`); ("enclosed", `:real->real->real->real->real->real->real->real->real->real`); ("quadratic_root_plus", `:real#real#real->real`); ("abc_of_quadratic", `:(real->real)->real#real#real`); ("muR", `:real->real->real->real->real->real->real->real->real->real->real`); ("muy_v", `:real^N->real^N->real^N->real^N->real^N->real->real`); ("muy_delta", `:real->real->real->real->real->real->real`); ("det_vec3", `:real^3->real^3->real^3->real`); ("condA", `:real^3->real^3->real^3->real^3->real->real->real->real->real->A->bool`); ("coplanar_alt", `:(real^A->bool)->bool`); ("cayleytr", `:real->real->real->real->real->real->real->real->real->real->real`); ("delta_x14", `:real->real->real->real->real->real->real`); ("delta_x13", `:real->real->real->real->real->real->real`); ("delta_x12", `:real->real->real->real->real->real->real`); ("coef3", `:real^N->real^N->real^N->real^N->real`); ("coef2", `:real^N->real^N->real^N->real^N->real`); ("coef1", `:real^N->real^N->real^N->real^N->real`); ("c_coef", `:real->real->real->real->real->real`); ("b_coef", `:real->real->real->real->real->real`); ("cm3_ups_x", `:real^3->real^3->real^3->real`); ("plane_3p", `:real^3->real^3->real^3->real^3->bool`); ("delta_x34", `:real->real->real->real->real->real->real`); ("plane_norm", `:(real^A->bool)->bool`); ("ups_x_pow2", `:real->real->real->real`); ("max_real3", `:real->real->real->real`); ("max_real", `:real->real->real`); ("eta_v", `:real^N->real^N->real^N->real`); ("delta", `:real->real->real->real->real->real->real`); ("chi", `:real->real->real->real->real->real->real`); ("rho_ij", `:real->real->real->real->real->real->real`); ("cayleyR", `:real->real->real->real->real->real->real->real->real->real->real`); ("min_dist", `:real^3->(real^3->bool)->bool`); ("e_plane", `:real^N->real^N->real^N->bool`); ("near2t0", `:real^A->(real^A->bool)->real^A->bool`); ("near", `:real^N->real->(real^N->bool)->real^N->bool`); ("VC_INFI", `:(real^3->bool)->real^3->bool`); ("VC", `:real^3->(real^3->bool)->real^3->bool`); ("lambda_y", `:real^3->(real^3->bool)->real^3->bool`); ("lambda_x", `:real^3->(real^3->bool)->real^3->bool`); ("VC_INFI_trg", `:(real^3->bool)->real^3->bool`); ("VC_trg", `:real^3->(real^3->bool)->real^3->bool`); ("unobstructed", `:real^3->real^3->(real^3->bool)->bool`); ("obstruct", `:real^3->real^3->(real^3->bool)->bool`); ("conv", `:(real^A->bool)->real^A->bool`); ("obstructed", `:real^3->real^3->(real^3->bool)->bool`); ("barrier", `:(real^3->bool)->(real^3->bool)->bool`); ("Q_SYS", `:(real^3->bool)->(real^3->bool)->bool`); ("anchor_points", `:real^3->real^3->(real^3->bool)->real^3->bool`); ("anchor", `:real^3->real^3->real^3->(real^3->bool)->bool`); ("isolated_pai", `:(real^3->bool)->(real^3->bool)->(real^3->bool)->bool`); ("isolated_qua", `:(real^3->bool)->(real^3->bool)->bool`); ("interior_pos", `:real^3->real^3->real^3->real^3->real^3->(real^3->bool)->bool`); ("conflicting_dia", `:real^3->real^3->real^3->real^3->real^3->(real^3->bool)->bool`); ("adjacent_pai", `:real^3->real^3->real^3->real^3->real^3->(real^3->bool)->bool`); ("quartered_oct", `:real^3->real^3->real^3->real^3->real^3->real^3->(real^3->bool)->bool`); ("strict_qua2", `:(real^3->bool)->(real^3->bool)->(real^3->bool)->bool`); ("strict_qua", `:(real^3->bool)->(real^3->bool)->bool`); ("diagonal", `:real^3->real^3->(real^3->bool)->(real^3->bool)->bool`); ("quarter", `:(real^3->bool)->(real^3->bool)->bool`); ("quasi_reg_tet", `:(real^3->bool)->(real^3->bool)->bool`); ("simplex", `:(real^3->bool)->(real^3->bool)->bool`); ("quasi_tri", `:(real^3->bool)->(real^3->bool)->bool`); ("t0", `:real`); ("voro2", `:real^3->(real^3->bool)->real^3->bool`); ("voronoi2", `:real^3->(real^3->bool)->real^3->bool`); ("d3", `:real^3->real^3->real`); ("centered_pac", `:(real^3->bool)->real^3->bool`); ("center_pac", `:(real^3->bool)->real^3->bool`); ("packing_trg", `:(real^3->bool)->bool`); ("border", `:(real^A->bool)->real^A->bool`); ("conv_trg", `:(real^A->bool)->real^A->bool`); ("conv0_2", `:(real^A->bool)->real^A->bool`); ("voronoi_trg", `:real^A->(real^A->bool)->real^A->bool`); ("ineq", `:(real#real#real)list->bool->bool`); ("abc_param", `:real^A->real^A->real^A->B->real#real#B`); ("make_point", `:real^3->real^3->real^3->real^3->real->real->real->real^3`); ("ortho0", `:real^A->real^A->real^A->real^A->real^A->bool`); ("rcone_lt", `:real^A->real^A->real->real^A->bool`); ("eventually_radial", `:real^A->(real^A->bool)->bool`); ("radial", `:real->real^A->(real^A->bool)->bool`); ("null_equiv", `:(real^3->bool)#(real^3->bool)->bool`); ("packing", `:(real^3->bool)->bool`); ("azim_cycle", `:(real^3->bool)->real^3->real^3->real^3->real^3`); ("projection", `:real^A->real^A->real^A`); ("cyclic_set", `:(real^A->bool)->real^A->real^A->bool`); ("polar_cycle", `:(real#real->bool)->real#real->real#real`); ("cyclic_order", `:real#real->real#real->real#real->bool`); ("radius", `:real#real->real`); ("directed_angle", `:real#real->real#real->real`); ("beta", `:real->real->real`); ("euler_p", `:real^A->real^A->real^A->real^A->real`); ("xlist", `:real^A->real^A->real^A->real^A->real#real#real#real#real#real`); ("ylist", `:real^A->real^A->real^A->real^A->real#real#real#real#real#real`); ("orientation", `:(real^A->bool)->real^A->(real->bool)->bool`); ("radV", `:(real^A->bool)->real`); ("circumcenter", `:(real^A->bool)->real^A`); ("bis_lt", `:real^A->real^A->real^A->bool`); ("bis_le", `:real^A->real^A->real^A->bool`); ("bis", `:real^A->real^A->real^A->bool`); ("open_half_space", `:(real^A->bool)->bool`); ("closed_half_space", `:(real^A->bool)->bool`); ("open_half_plane", `:(real^A->bool)->bool`); ("closed_half_plane", `:(real^A->bool)->bool`); ("line", `:(real^A->bool)->bool`); ("voronoi_le", `:real^A->(real^A->bool)->real^A->bool`); ("voronoi", `:real^A->(real^A->bool)->real^A->bool`); ("aff", `:(real^A->bool)->real^A->bool`); ("rad2_x", `:real->real->real->real->real->real->real`); ("dihR", `:real->real->real->real`); ("solR", `:real->real->real->real`); ("volR", `:real->real->real->real`); ("arclength", `:real->real->real->real`); ("vol_x", `:real->real->real->real->real->real->real`); ("tauq", `:real->real->real->real->real->real->real->real->real->real`); ("taum", `:real->real->real->real->real->real->real`); ("lnazim", `:real->real->real->real->real->real->real`); ("rhazim", `:real->real->real->real->real->real->real`); ("rho", `:real->real`); ("ly", `:real->real`); ("const1", `:real`); ("interp", `:real->real->real->real->real->real`); ("sol_y", `:real->real->real->real->real->real->real`); ("sol_x", `:real->real->real->real->real->real->real`); ("dih3_x", `:real->real->real->real->real->real->real`); ("dih2_x", `:real->real->real->real->real->real->real`); ("dih3_y", `:real->real->real->real->real->real->real`); ("dih2_y", `:real->real->real->real->real->real->real`); ("dih_y", `:real->real->real->real->real->real->real`); ("dih_x", `:real->real->real->real->real->real->real`); ("chi_x", `:real->real->real->real->real->real->real`); ("rho_x", `:real->real->real->real->real->real->real`); ("eta_y", `:real->real->real->real`); ("eta_x", `:real->real->real->real`); ("ups_x", `:real->real->real->real`); ("delta_x6", `:real->real->real->real->real->real->real`); ("delta_x4", `:real->real->real->real->real->real->real`); ("delta_y", `:real->real->real->real->real->real->real`); ("pi_rt18", `:real`); ("sqrt2", `:real`); ("sqrt8", `:real`); ("atn2", `:real#real->real`); ("SDIFF", `:(A->bool)->(A->bool)->A->bool`); ("vol_ball_wedge", `:real^3->real^3->real^3->real^3->real->real`); ("vol_rect", `:real^A->real^B->real`); ("vol_conv", `:real^A->real^A->real^A->real^A->real`); ("vol_conic_cap_wedge", `:real^3->real^3->real^3->real^3->real->real->real`); ("vol_frustt_wedge", `:real^3->real^3->real^3->real^3->real->real->real`); ("vol_solid_triangle", `:real^A->real^A->real^A->real^A->real->real`); ("primitive", `:(real^3->bool)->bool`); ("circular_cone", `:(real^3->bool)->bool`); ("c_cone", `:real^3#real^3#real->real^3->bool`); ("sphere", `:(real^3->bool)->bool`); ("rect", `:real^3->real^3->real^3->bool`); ("solid_triangle", `:real^A->(real^A->bool)->real->real^A->bool`); ("cone0", `:real^A->(real^A->bool)->real^A->bool`); ("cone", `:real^A->(real^A->bool)->real^A->bool`); ("dihV", `:real^A->real^A->real^A->real^A->real`); ("opposite", `:real^N->real^N->(real^N->bool)->bool`); ("wedge", `:real^3->real^3->real^3->real^3->real^3->bool`); ("azim", `:real^3->real^3->real^3->real^3->real`); ("arcV", `:real^A->real^A->real^A->real`); ("orthonormal", `:real^3->real^3->real^3->bool`); ("conic_cap", `:real^A->real^A->real->real->real^A->bool`); ("ellipsoid", `:real^3->real->real^3->bool`); ("normball", `:real^A->real->real^A->bool`); ("scale", `:real^3->real^3->real^3`); ("frustt", `:real^A->real^A->real->real->real^A->bool`); ("frustum", `:real^N->real^N->real->real->real->real^N->bool`); ("rcone_eq", `:real^A->real^A->real->real^A->bool`); ("rcone_ge", `:real^A->real^A->real->real^A->bool`); ("rcone_gt", `:real^A->real^A->real->real^A->bool`); ("rconesgn", `:(real->real->bool)->real^A->real^A->real->real^A->bool`); ("delta_x", `:real->real->real->real->real->real->real`); ("conv0", `:(real^A->bool)->real^A->bool`); ("aff_le", `:(real^A->bool)->(real^A->bool)->real^A->bool`); ("aff_lt", `:(real^A->bool)->(real^A->bool)->real^A->bool`); ("aff_ge", `:(real^A->bool)->(real^A->bool)->real^A->bool`); ("aff_gt", `:(real^A->bool)->(real^A->bool)->real^A->bool`); ("sgn_le", `:real->bool`); ("sgn_lt", `:real->bool`); ("sgn_ge", `:real->bool`); ("sgn_gt", `:real->bool`); ("affsign", `:(real->bool)->(real^A->bool)->(real^A->bool)->real^A->bool`); ("lin_combo", `:(real^N->bool)->(real^N->real)->real^N`); ("pad2d3d", `:real^2->real^3`); ("plane", `:(real^A->bool)->bool`); ("slice", `:num->real->(real^A->bool)->real^B->bool`); ("pushin", `:num->B->B^A->B^C`); ("dropout", `:num->real^N->real^M`); ("real_measure", `:(real->bool)->real`); ("real_measurable", `:(real->bool)->bool`); ("has_real_measure", `:(real->bool)->real->bool`); ("absolutely_real_integrable_on", `:(real->real)->(real->bool)->bool`); ("real_negligible", `:(real->bool)->bool`); ("real_integral", `:(real->bool)->(real->real)->real`); ("real_integrable_on", `:(real->real)->(real->bool)->bool`); ("has_real_integral", `:(real->real)->real->(real->bool)->bool`); ("closed_real_interval", `:(real#real)list->real->bool`); ("open_real_interval", `:real#real->real->bool`); ("is_realinterval", `:(real->bool)->bool`); ("real_differentiable_on", `:(real->real)->(real->bool)->bool`); ("higher_real_derivative", `:num->(real->real)->real->real`); ("real_derivative", `:(real->real)->real->real`); ("real_differentiable", `:(real->real)->(real)net->bool`); ("has_real_derivative", `:(real->real)->real->(real)net->bool`); ("real_continuous_on", `:(real->real)->(real->bool)->bool`); ("real_continuous", `:(A->real)->(A)net->bool`); ("at_neginfinity", `:(real)net`); ("at_posinfinity", `:(real)net`); ("atreal", `:real->(real)net`); ("real_summable", `:(num->bool)->(num->real)->bool`); ("real_infsum", `:(num->bool)->(num->real)->real`); ("real_sums", `:(num->real)->real->(num->bool)->bool`); ("--->", `:(A->real)->real->(A)net->bool`); ("real_compact", `:(real->bool)->bool`); ("real_bounded", `:(real->bool)->bool`); ("euclideanreal", `:(real)topology`); ("real_closed", `:(real->bool)->bool`); ("real_open", `:(real->bool)->bool`); ("measure", `:(real^A->bool)->real`); ("measurable", `:(real^A->bool)->bool`); ("has_measure", `:(real^A->bool)->real->bool`); ("*_c", `:(A->bool)->(B->bool)->A#B->bool`); ("+_c", `:(A->bool)->(B->bool)->A+B->bool`); ("ordinal", `:(A#A->bool)->bool`); ("linseg", `:(A#A->bool)->A->A#A->bool`); ("inseg", `:(A#A->bool)->(A#A->bool)->bool`); ("woset", `:(A#A->bool)->bool`); ("chain", `:(A#A->bool)->(A->bool)->bool`); ("poset", `:(A#A->bool)->bool`); 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("nadd_add", `:nadd->nadd->nadd`); ("nadd_le", `:nadd->nadd->bool`); ("nadd_of_num", `:num->nadd`); ("nadd_eq", `:nadd->nadd->bool`); ("dest_nadd", `:nadd->num->num`); ("mk_nadd", `:(num->num)->nadd`); ("is_nadd", `:(num->num)->bool`); ("dist", `:num#num->num`); ("ASCII", `:bool->bool->bool->bool->bool->bool->bool->bool->char`); ("_16756", `:bool->bool->bool->bool->bool->bool->bool->bool->char`); ("_dest_char", `:char->(bool#bool#bool#bool#bool#bool#bool#bool)recspace`); ("_mk_char", `:(bool#bool#bool#bool#bool#bool#bool#bool)recspace->char`); ("ZIP", `:(A)list->(B)list->(A#B)list`); ("ITLIST2", `:(A->B->C->C)->(A)list->(B)list->C->C`); ("ASSOC", `:A->(A#B)list->B`); ("FILTER", `:(A->bool)->(A)list->(A)list`); ("EL", `:num->(A)list->A`); ("MAP2", `:(A->B->C)->(A)list->(B)list->(C)list`); ("ALL2", `:(A->B->bool)->(A)list->(B)list->bool`); ("MEM", `:A->(A)list->bool`); ("ITLIST", `:(A->B->B)->(A)list->B->B`); ("EX", `:(A->bool)->(A)list->bool`); ("ALL", `:(A->bool)->(A)list->bool`); ("NULL", `:(A)list->bool`); ("REPLICATE", `:num->A->(A)list`); ("LAST", `:(A)list->A`); ("MAP", `:(A->B)->(A)list->(B)list`); ("LENGTH", `:(A)list->num`); ("REVERSE", `:(A)list->(A)list`); ("APPEND", `:(A)list->(A)list->(A)list`); ("TL", `:(A)list->(A)list`); ("HD", `:(A)list->A`); ("ISO", `:(A->B)->(B->A)->bool`); ("CONS", `:A->(A)list->(A)list`); ("NIL", `:(A)list`); ("_dest_list", `:(A)list->(A)recspace`); ("_mk_list", `:(A)recspace->(A)list`); ("SOME", `:A->(A)option`); ("NONE", `:(A)option`); ("_dest_option", `:(A)option->(A)recspace`); ("_mk_option", `:(A)recspace->(A)option`); ("OUTR", `:A+B->B`); ("OUTL", `:A+B->A`); ("INR", `:B->A+B`); ("INL", `:A->A+B`); ("_dest_sum", `:A+B->(A#B)recspace`); ("_mk_sum", `:(A#B)recspace->A+B`); ("FNIL", `:num->A`); ("FCONS", `:A->(num->A)->num->A`); ("CONSTR", `:num->A->(num->(A)recspace)->(A)recspace`); ("BOTTOM", `:(A)recspace`); ("_dest_rec", `:(A)recspace->num->A->bool`); ("_mk_rec", `:(num->A->bool)->(A)recspace`); ("ZRECSPACE", `:(num->A->bool)->bool`); ("ZBOT", `:num->A->bool`); ("ZCONSTR", `:num->A->(num->num->A->bool)->num->A->bool`); ("INJP", `:(num->A->bool)->(num->A->bool)->num->A->bool`); ("INJF", `:(num->num->A->bool)->num->A->bool`); ("INJA", `:A->num->A->bool`); ("INJN", `:num->num->A->bool`); ("NUMRIGHT", `:num->num`); ("NUMLEFT", `:num->bool`); ("NUMSUM", `:bool->num->num`); ("NUMSND", `:num->num`); ("NUMFST", `:num->num`); ("NUMPAIR", `:num->num->num`); ("MEASURE", `:(A->num)->A->A->bool`); ("WF", `:(A->A->bool)->bool`); ("minimal", `:(num->bool)->num`); ("MIN", `:num->num->num`); ("MAX", `:num->num->num`); ("MOD", `:num->num->num`); ("DIV", `:num->num->num`); ("FACT", `:num->num`); ("-", `:num->num->num`); ("ODD", `:num->bool`); ("EVEN", `:num->bool`); (">", `:num->num->bool`); (">=", `:num->num->bool`); ("<", `:num->num->bool`); ("<=", `:num->num->bool`); ("EXP", `:num->num->num`); ("*", `:num->num->num`); ("BIT1", `:num->num`); ("BIT0", `:num->num`); ("+", `:num->num->num`); ("PRE", `:num->num`); ("NUMERAL", `:num->num`); ("SUC", `:num->num`); ("_0", `:num`); ("dest_num", `:num->ind`); ("mk_num", `:ind->num`); ("NUM_REP", `:ind->bool`); ("IND_0", `:ind`); ("IND_SUC", `:ind->ind`); ("ONTO", `:(A->B)->bool`); ("ONE_ONE", `:(A->B)->bool`); ("PASSOC", `:((A#B)#C->D)->A#B#C->D`); ("UNCURRY", `:(A->B->C)->A#B->C`); ("CURRY", `:(A#B->C)->A->B->C`); ("SND", `:A#B->B`); ("FST", `:A#B->A`); (",", `:A->B->A#B`); ("REP_prod", `:A#B->A->B->bool`); ("ABS_prod", `:(A->B->bool)->A#B`); ("mk_pair", `:A->B->A->B->bool`); ("_FUNCTION", `:(A->B->bool)->A->B`); ("_MATCH", `:A->(A->B->bool)->B`); ("_GUARDED_PATTERN", `:bool->bool->bool->bool`); ("_UNGUARDED_PATTERN", `:bool->bool->bool`); ("_SEQPATTERN", `:(A->B->bool)->(A->B->bool)->A->B->bool`); ("GEQ", `:A->A->bool`); ("GABS", `:(A->bool)->A`); ("LET_END", `:A->A`); ("LET", `:(A->B)->A->B`); ("one", `:1`); ("one_REP", `:1->bool`); ("one_ABS", `:bool->1`); ("I", `:A->A`); ("o", `:(B->C)->(A->B)->A->C`); ("COND", `:bool->A->A->A`); ("@", `:(A->bool)->A`); ("_FALSITY_", `:bool`); ("?!", `:(A->bool)->bool`); ("~", `:bool->bool`); ("F", `:bool`); ("\\/", `:bool->bool->bool`); ("?", `:(A->bool)->bool`); ("!", `:(A->bool)->bool`); ("==>", `:bool->bool->bool`); ("/\\", `:bool->bool->bool`); ("T", `:bool`); ("=", `:A->A->bool`)];; let the_loaded_files = ["flyspeck_utility.hl"; "update_database_310.ml"; "hypermap.hl"; "vol1.hl"; "trigonometry.hl"; "database2194fe.ml"; "flyspeck_utility.hl"; "trig2.hl"; "trig1.hl"; "ineqdata3q1h.hl"; "ineq.hl"; "enclosed_def.hl"; "quadratic_root_plus_def.hl"; "abc_of_quadratic_def.hl"; "muR_def.hl"; "collect_geom.hl"; "cayleyR_def.hl"; "affprops.hl"; "AFF_SGN_TAC.hl"; "geomdetail.hl"; "snapshot.hl"; "snapshot.hl"; "snapshot.hl"; "snapshot.hl"; "snapshot.hl"; "sphere.hl"; "prove_by_refinement.hl"; "update_database_310.ml"; "database3be71a.ml"; "snapshot.hl"; "print-types.ml"; "flyspeck.ml"; "wlog_examples.ml"; "wlog.ml"; "real.ml"; "measure.ml"; "card.ml"; "wo.ml"; "geom.ml"; "transc.ml"; "canal.ml"; "complex.ml"; "integration.ml"; "analysis.ml"; "dimension.ml"; "convex.ml"; "topology.ml"; "iter.ml"; "floor.ml"; "cross.ml"; "determinants.ml"; "products.ml"; "permutations.ml"; "vectors.ml"; "misc.ml"; "database.ml"; "help.ml"; "define.ml"; "cart.ml"; "iter.ml"; "sets.ml"; "int.ml"; "calc_rat.ml"; "real.ml"; "realarith.ml"; "calc_int.ml"; "realax.ml"; "list.ml"; "ind-types.ml"; "grobner.ml"; "normalizer.ml"; "calc_num.ml"; "wf.ml"; "arith.ml"; "num.ml"; "pair.ml"; "recursion.ml"; "quot.ml"; "meson.ml"; "canon.ml"; "trivia.ml"; "class.ml"; "ind-defs.ml"; "theorems.ml"; "simp.ml"; "itab.ml"; "tactics.ml"; "drule.ml"; "bool.ml"; "equal.ml"; "printer.ml"; "parser.ml"; "preterm.ml"; "nets.ml"; "basics.ml"; "fusion.ml"; "lib.ml"; "sys.ml"];; let the_types = [("loop", 1); ("hypermap", 1); ("net", 1); ("topology", 1); ("3", 0); ("2", 0); ("finite_sum", 2); ("cart", 2); ("finite_image", 1); ("int", 0); ("real", 0); ("hreal", 0); ("nadd", 0); ("char", 0); ("list", 1); ("option", 1); ("sum", 2); ("recspace", 1); ("num", 0); ("ind", 0); ("prod", 2); ("1", 0); ("bool", 0); ("fun", 2)];; let the_overload_skeletons = Snapshot_v220_7_31_2009.the_overload_skeletons;; end;;