pm#total_ordering_relation_type  partial_ordering_relation that is a trichotomizing_relation
  instance:  pm#total_ordering_relation
  equal:  sumo#total_ordering_relation (pm)
  supertype:  pm#partial_ordering_relation_type  binary_relation that is reflexive, antisymmetric and transitive
     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
  supertype:  pm#trichotomizing_relation_type  binary_relation such that all ordered pairs consisting of distinct individuals are element of this binary_relation
     supertype:  pm#binary_relation_type  all binary relation types are instance of that object

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