| List of basic operations |
| Operation |
Arguments |
Result |
Kind |
Description |
Examples |
See also |
| antecedent |
Conditional registration |
Attribute |
contextual |
Attributes occurring in antecedent of a given conditional registration |
|
positive antecedent,
negative antecedent,
consequent,
cluster
|
| antonym |
Attribute notation or Predicate notation
|
the same |
filtering |
Notation which is antonymous |
|
synonym, opposite
|
| article |
Library item |
Article |
classifying |
Article of the argument |
|
|
| artoccur |
Article |
Library item |
selecting |
Library items in which occurs at least one constructor from given article |
|
occur |
| associativity |
Functor |
the same |
filtering |
Functor which is associative |
|
|
| asymmetry |
Predicate |
the same |
filtering |
Predicate which is asymmetric |
|
|
| baseterm ref |
Term adjective registration |
Constructor (or Number!) |
contextual |
Constructors occurring in a term whose adjectives are registered |
|
|
| basetype ref |
Conditional registration or Existential registration
|
Constructor |
contextual |
Constructors occurring in a type with which adjectives are registred |
|
|
| by ref |
Theorem
or Scheme
or Registration
|
Theorem |
contextual |
Theorems used in proofs of given theorem or scheme or correctness conditions of given registration |
|
|
| cluster |
Registration |
Attribute |
contextual |
Attributes registered in given registration |
|
antecedent,
consequent,
negative cluster,
positive cluster
|
| commutativity |
Functor |
the same |
filtering |
Functor which is commutative |
|
|
| connectedness |
Predicate |
the same |
filtering |
Predicate which is connected |
|
|
| consequent |
Conditional registration |
Attribute |
contextual |
Attributes occurring in consequent of a given conditional registration |
|
positive consequent,
negative consequent,
antecedent,
cluster
|
| constructor |
Notation or
Definiens
|
Constructor |
converting |
Constructor denoted by given notation or definendum of given definiens |
|
notation,
definiens
|
| copy |
Constructor |
Constructor |
|
Copies of given constructor if original |
|
redef,
origin
|
| definiens |
Constructor |
Definiens * |
|
Definientia of given constractor |
dfs |
|
| definition |
Constructor |
Constructor |
|
|
|
|
| deftype-ref |
Constructor |
Constructor |
|
|
|
|
| direct |
Constructor |
Constructor |
|
|
|
|
| direct-notation |
Constructor |
Constructor |
|
|
|
|
| expandable-ref |
Constructor |
Constructor |
|
|
|
|
| extoccur |
Constructor |
Library item |
selecting |
Library items in which occurs given constructor or its copy |
|
ref,
occur,
artoccur
|
| idempotence |
Functor |
the same |
filtering |
Functor which is idempotent |
|
|
| intypeattr |
Constructor |
Constructor |
|
|
|
|
| involutiveness |
Functor |
the same |
filtering |
Functor which is involution |
|
|
| irreflexivity |
Predicate |
the same |
filtering |
Predicate which is irreflexive |
|
|
| keyword |
Constructor |
Constructor |
|
|
|
|
| loci-ref |
Constructor |
Constructor |
|
|
|
|
| mainfunc |
Constructor |
Constructor |
|
|
|
|
| mainmode |
Constructor |
Constructor |
|
|
|
|
| mothertype-ref |
Constructor |
Constructor |
|
|
|
|
| negative antecedent |
Conditional registration |
Attribute |
contextual |
Attributes occurring negatively in antecedent of a given conditional registration |
|
positive antecedent,
antecedent,
consequent,
cluster
|
| negative cluster |
Registration |
Attribute |
contextual |
Attributes occurring negatively in given registration |
|
consequent,
antecedent,
positive cluster,
cluster
|
| negative consequent |
Conditional registration |
Attribute |
contextual |
Attributes occurring negatively in consequent of a given conditional registration |
|
positive consequent,
antecedent,
consequent,
cluster
|
| negative-intypeattr |
Constructor |
Constructor |
|
|
|
|
| negative-ref |
Constructor |
Constructor |
|
|
|
|
| notation |
Constructor |
Constructor |
|
|
|
|
| occur |
Constructor |
Library item |
selecting |
Library items in which occurs given constructor |
|
ref,
artoccur,
extoccur
|
| opposite |
Constructor |
Constructor |
|
|
|
|
| opposite-notation |
Constructor |
Constructor |
|
|
|
|
| origin |
Constructor |
Constructor |
|
Origin of given constructor |
|
redef,
copy
|
| outtypeattr |
Constructor |
Constructor |
|
|
|
|
| parameter-ref |
Constructor |
Constructor |
|
|
|
|
| positive antecedent |
Conditional registration |
Attribute |
contextual |
Attributes occurring positively in antecedent of a given conditional registration |
|
antecedent,
negative antecedent,
consequent,
cluster
|
| positive cluster |
Registration |
Attribute |
contextual |
Attributes occurring positively in given registration |
|
antecedent,
consequent,
negative cluster,
cluster
|
| positive consequent |
Conditional registration |
Attribute |
contextual |
Attributes occurring positively in consequent of a given conditional registration |
|
antecedent,
negative consequent,
consequent,
cluster
|
| positive-intypeattr |
Constructor |
Constructor |
|
|
|
|
| positive-ref |
Constructor |
Constructor |
|
|
|
|
| positive-occur |
Constructor |
Constructor |
|
|
|
|
| prefix-ref |
Constructor |
Constructor |
|
|
|
|
| premise-ref |
Constructor |
Constructor |
|
|
|
|
| projectivity |
Functor |
the same |
filtering |
Functor which is projective |
|
|
| redef |
Constructor |
Constructor |
|
Origin and its copies of given constructor |
|
origin,
copy
|
| ref |
Library item |
Constructor |
selecting |
Constructors which occur in given item |
|
occur |
| reflexivity |
Predicate |
the same |
filtering |
Predicate which is reflexive |
|
|
| symbol |
Constructor |
Constructor |
|
|
|
|
| symmetry |
Predicate |
the same |
filtering |
Predicate which is symmetric |
|
|
| synonym |
Notation |
the same |
filtering |
Notation which is synonymous |
|
antonym |
| termtype-ref |
Constructor |
Constructor |
|
|
|
|
| texmacro |
Constructor |
Constructor |
|
|
|
|
| thesis-ref |
Constructor |
Constructor |
|
|
|
|
| transitivity |
Predicate |
the same |
filtering |
Predicate which is transitive |
|
|
| translation |
Constructor |
Constructor |
|
|
|
|
| universe-ref |
Constructor |
Constructor |
|
|
|
|
| visible |
Constructor |
Constructor |
|
|
|
|
| vocabulary |
Symbol |
Article |
classifying |
Vocabulary (article) of the argument |
|
|