ThmDex – An index of mathematical definitions, results, and conjectures.
▼ Set of symbols
▼ Alphabet
▼ Deduction system
▼ Theory
▼ Zermelo-Fraenkel set theory
▼ Set
▼ Binary cartesian set product
▼ Binary relation
▼ Map
▼ Empty map
▼ Collection
▼ Ring element collection
▼ Ring element combination
▼ Formal linear combination
▼ Standard formal linear combination
▼ Set of standard formal linear combinations
▼ Linearly independent set
Definition D2043
Set of linearly independent sets
Results
▶ Vector space always has a linearly independent subset
▶ Vector space always has an inclusion-maximal linearly independent set