axiom of extensionality
axiom of pairing
extensionality
axiom of infinity
axiom of union
axiom of choice
axiom of regularity
axiomatic system
equation
complement
symmetric difference
Grothendieck universe
principle of explosion
intersect
double counting
forcing
or
equivocation
setoid
like terms
Zorn's lemma
Cartesian product
ex falso quod libet
negation
mathematical group
law of identity
neutrosophic
parity
group
many-to-one
proof system
quotient set
intersection
Matiyasevich's theorem
superintuitionistic
valuation function
connote
Zermelo-Fraenkel set theory
Knaster-Tarski theorem
product
substitutivity
equisatisfiable
intuitionistic logic
Cantor-Bendixson theorem
natural deduction
many-to-many
Gleason's theorem
equate
consistency
equalizer
identity of indiscernibles
homographic
domain of discourse
paramodulation
contrary
axiom of countable choice
ring
algebraic structure
presemifield
axiom system
set theoretically
inequation
non-classical logic
polarity
absolute geometry
semifield
field axiom
spelling
group object
theory
axiom
superset
fixed set
material implication
class
if and only if
even-
one-to-many
set theory
Ockham algebra
Occam's Razor
conjoin
Ockham's Razor
axiomatically
disjoint union
power-associative algebra
law of parsimony
principle of parsimony
alternative algebra
dialetheism
sequent
weakening
universe of discourse
transitive

English words for 'One of the axioms in axiomatic set theory, equivalent to the statement that two sets are equal if and only if they contain the same elements.'

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