axiom of union
axiom of pairing
axiom of infinity
axiom of extensionality
axiom of regularity
lot
set theoretically
hyperconnection
axiom of choice
partition
counion
axiom of power set
quotient set
discrete topology
extensionality
connection
Zorn's lemma
set theory
sethood
Grothendieck universe
absolute complement
symmetric difference
intraset
intersection
cover
algebraic structure
set
sets
NBG
quintuplicate
multialgebra
superset
subset
union
hyperoperator
abstract universal
order tree
universal set
cofinite topology
chain
ring
overlap
hyperstructure
order type
combinatorial
group
Zermelo set theory
sum
mathematical group
singleton set
stabilizer subgroup
set-theoretic
join
determinate
principal ultrafilter
superintuitionistic
collection
universe of discourse
multiset
σ-compact
family
propositional logic
trivial topology
automorphism group
propositional calculus
block design
base
singleton
non-empty
Zermelo-Fraenkel set theory
four
power set
direct product
product
forcing
setwise
Cartesian product
isochron
monoallelic
two
Poincaré-Birkhoff-Witt theorem
member
pairing
Alexandrov topology
small category
domain
interset
lump
algebra
mathematical structure
equivalence class
for all
quasivariety
carrier set

English words for 'One of the axioms in axiomatic set theory, equivalent to the statement that a union exists for any set, containing exactly all the elements contained within the sets within that set.'

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