:: deftheorem defines IncSpace-like INCSP_1:def 18 :
for IT being IncStruct holds
( IT is IncSpace-like iff ( IT is with_non-trivial_lines & IT is linear & IT is up-2-rank & IT is with_non-empty_planes & IT is planar & IT is with_<=1_plane_per_3_pts & IT is with_lines_inside_planes & IT is with_planes_intersecting_in_2_pts & IT is up-3-dimensional & IT is inc-compatible ) );