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Definition: Concept Lattice
 The concepts of a given context are naturally ordered by a subconceptsuperconcept relation:

(A _{ 1 } , B_{1 } ) ≤ (A _{ 2 } ,B _{ 2 } ) : ⇔ A _{ 1 } ⊆A _{ 2 } (⇔ B _{ 2 } ⊆B _{ 1 } )

The ordered set of all formal concepts in (G,M,I) is denoted by Β(G,M,I) and is called concept lattice (Begriffsverband)

A concept lattice consists of the set of concepts of a formal context and the subconceptsuperconcept relation between the concepts