Translation for 'axiom of extensionality' from English to Polish
 mat. aksjomat {m} ekstensjonalności axiom of extensionality Partial Matches mat. aksjomat {m} ekstensjonalności axiom of extension mat. aksjomat {m} wyboru  axiom of choice  mat. aksjomat {m} determinacji  axiom of determinacy  mat. aksjomat {m} axiom (jak) wiadomo {adv} of course niezależnie od {adv} [+gen.] regardless of niezależnie od {adv} [+gen.] irrespective of łyżka {noun} [+gen.] spoonful of mnóstwo [+gen.] plenty of ze {prep} [+gen.] out of z {prep} [+gen.] out of ze {prep} [+gen.] [materiał] of [material] przekonać o [dok.] to convince (of) przekonywać [niedok.] o [+loc.] to convince of zamiast {prep} [+gen.] instead of polski {adj} of Poland oczywiście {adv} of course z powodu {prep} [+gen.] because of z {prep} [+gen.] [materiał] of [material] jakby {adv} sort of
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Usage Examples English
• According to the axiom of extensionality, the identity of a set is determined by its elements.
• In first-order logic with equality, the axiom of extensionality states that two sets which "contain" the same elements are the same set.
• In axiomatic set theory and the branches of logic, mathematics, and computer science that use it, the axiom of extensionality, or axiom of extension, is one of the axioms of Zermelo–Fraenkel set theory.
• That a set can capture the notion of the extension of anything is the idea behind the axiom of extensionality in axiomatic set theory.
• Note that in this case, the axiom of extensionality must be formulated to apply only to objects that are not urelements.

• In set theory, the axiom of extensionality states that two sets are equal if and only if they contain the same elements.
• The axiom of extensionality implies the empty set is unique (does not depend on [...]).
• Axiom of extensionality. [...] If two classes have the same elements, then they are identical.