Statements (23)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:algebra
lattice partially ordered set |
gptkbp:atomsAre |
singleton subsets
|
gptkbp:cardinality |
2^n (if the underlying set has n elements)
|
gptkbp:complementOperation |
set complement
|
gptkbp:definedIn |
power set of a set
|
gptkbp:hasBottomElement |
empty set
|
gptkbp:hasTopElement |
the set itself
|
https://www.w3.org/2000/01/rdf-schema#label |
Power set lattice
|
gptkbp:isAtomicLattice |
true
|
gptkbp:isBooleanAlgebra |
true
|
gptkbp:isCompleteLattice |
true
|
gptkbp:isDistributive |
true
|
gptkbp:isModularLattice |
true
|
gptkbp:joinOperation |
set union
|
gptkbp:meetOperation |
set intersection
|
gptkbp:orderRelation |
set inclusion
|
gptkbp:usedIn |
gptkb:logic
gptkb:set_theory gptkb:order_theory |
gptkbp:bfsParent |
gptkb:Distributive_lattice
|
gptkbp:bfsLayer |
7
|