pm#partial_ordering_relation_type  binary_relation that is reflexive, antisymmetric and transitive
  subtype:  pm#total_ordering_relation_type  partial_ordering_relation that is a trichotomizing_relation
  instance:  pm#partial_ordering_relation  pm#total_ordering_relation  pm#inferior_or_equal_to  pm#superior_or_equal_to  pm#generalizing_type  pm#specializing_type  pm#constitution  pm#part  pm#wnMember  pm#sub_collection  sumo#subclass  sumo#subrelation  sumo#sub_attribute  sumo#part  sumo#sub_collection  sumo#less_than_or_equal_to  sumo#greater_than_or_equal_to  sumo#sub_list  sumo#initial_list  sumo#subsumes_content_class  sumo#subsumes_content_instance  sumo#temporal_part  sumo#before_or_equal  sumo#sub_process  sumo#sub_organization  sumo#geometric_part
  equal:  sumo#partial_ordering_relation (pm)
  supertype:  pm#reflexive_relation_type  a relation is reflexive if (?REL ?INST ?INST) for all ?INST
     supertype:  pm#binary_relation_type  all binary relation types are instance of that object
        supertype:  pm#relation_type  there are three kinds of relation(_types): pm#predicate_type, pm#function_type and sumo#list; both predicates and functions denote sets of ordered n-tuples; the difference between these two classes is that predicates cover formula-forming operators, while functions cover term-forming operators; a list, on the other hand, is a particular ordered n-tuple
           supertype:  pm#1st_order_type__1stordertype__type1  all 1st order types are implicitely or explicitely instance of that 2nd-order type
              supertype:  pm#type  second-order type or more
                 supertype:  pm#non_spatial_collection__nonspatialcollection__true_collection  something gathering separated things (entities/situations) and that is not a spatial object
                    supertype:  pm#non_spatial_object_that_is_not_an_attribute_or_quality_or_measure
                       supertype:  pm#non_spatial_object__nonspatialobject  abstraction or description content/medium/container (a description medium that has some spatial feature is both instance of sumo#object and pm#non_spatial_object
                          supertype:  pm#entity  something that can be "involved" in a situation
                             supertype:  pm#thing__something___T__t___3D_or_4D_thing_or_anything_else  any category (type or individual) is instance of this type; any type is also a subtype of this type
                          supertype:  cyc#intangible  The collection of things that are not physical -- are not made of, or encoded in, matter. Every cyc#Collection is a cyc#intangible (even if its instances are tangible), and so are some cyc#individuals.  Caution: do not confuse `tangibility' with `perceivability' -- humans can perceive light even though it's intangible--at least in a sense.
                             supertype:  cyc#partially_intangible__partiallyintangible  The collection of things that either are wholly intangible (see cyc#Intangible) or have at least one intangible (i.e. immaterial) part (see cyc#intangibleParts). This includes intangible individuals, such as instances of cyc#Number-General  or cyc#Agreement, as well as non-individuals (all of which are intangible), i.e. instances of cyc#SetOrCollection.  It also includes things that have both tangible and intangible components (see cyc#CompositeTangibleAndIntangibleObject),  such as a printed copy of a newspaper (as its information content is intangible) or a person (as her mental states are intangible).
                                supertype:  pm#thing__something___T__t___3D_or_4D_thing_or_anything_else  any category (type or individual) is instance of this type; any type is also a subtype of this type
                    supertype:  pm#collection  something gathering separated things (entities/situations)
                       supertype:  pm#divisible_entity__divisibleentity  many classifications under this category are application-dependant
                          supertype:  pm#entity  something that can be "involved" in a situation
                          supertype:  pm#divisible_thing__divisiblething
                             supertype:  pm#thing__something___T__t___3D_or_4D_thing_or_anything_else  any category (type or individual) is instance of this type; any type is also a subtype of this type
                 supertype:  sumo#abstract__entity_without_spatial_feature  e.g., knowledge, motivation, measure; properties or qualities as distinguished from any particular embodiment of the properties/qualities in a physical medium; instances of sumo#abstract can be said to exist in the same sense as mathematical objects such as sets and relations, but they cannot exist at a particular place or time without some physical encoding or embodiment
                    supertype:  pm#non_spatial_object__nonspatialobject  abstraction or description content/medium/container (a description medium that has some spatial feature is both instance of sumo#object and pm#non_spatial_object
  supertype:  pm#antisymmetric_relation_type  when for distinct ?INST1 and ?INST2, (?REL ?INST1 ?INST2) implies not (?REL ?INST2 ?INST1), that is, for all ?INST1 and ?INST2, (?REL ?INST1 ?INST2) and (?REL ?INST2 ?INST1) imply that ?INST1 and ?INST2 are identical; it is possible for an antisymmetric relation to be a reflexive relation
     supertype:  pm#binary_relation_type  all binary relation types are instance of that object
  supertype:  pm#transitive_relation_type  a binary_relation ?REL is transitive if (?REL ?INST1 ?INST2) and (?REL ?INST2 ?INST3) imply (?REL ?INST1 ?INST3), for all ?INST1, ?INST2, and ?INST3
     supertype:  pm#binary_relation_type  all binary relation types are instance of that object

No statement uses or specializes pm#partial_ordering_relation_type; click here to add one.