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Show that $(A\cup B)\times C=(A\times C)\cup (B\times C)$

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#elementary-set-theory
113
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Equality of finite sets with $A \subseteq B$ and $|A|=|B|$

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#elementary-set-theory #proof-verification #alternative-proof
452
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Computing limit of sequence of sets defined on indicator function

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#probability #sequences-and-series #limits #measure-theory #elementary-set-theory
405
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Logic and set theory - proofs of theorems

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#elementary-set-theory #logic #reference-request
51
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Can I refer to the interval $[0,1]$ as an uncountable union of singletones?

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#measure-theory #elementary-set-theory
69
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Is $R$ symmetric and transitive?

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#elementary-set-theory #proof-verification #relations
102
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Valid Set builder notations for simple set.

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#elementary-set-theory #logic #notation #quantifiers
743
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Can we find an injection from the set of irrational numbers to a list of rational numbers that terminate

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#elementary-set-theory
166
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Conditional Probability Equality Proof

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#probability #elementary-set-theory
1.3k
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How to derive the set notation from regular expressions?

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#elementary-set-theory #regular-language
37
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Prove or disprove: If $(X,<)$ is well-ordered then $Y'=\{x\in X : f(x)< x\}=\emptyset$

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#elementary-set-theory
69
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Understanding a proposition about $\mathcal R$-section in ordered sets (VERY EDITED)

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#elementary-set-theory
109
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Clarifying a part of Caratheodory's theorem proof

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#measure-theory #elementary-set-theory #proof-explanation
76
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Proposed definition of a countable set

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#elementary-set-theory
253
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Set-theoretical definition of function evaluation

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#elementary-set-theory

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