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Prove that $g : B \rightarrow A_1 \times \dotsc \times A_n$ is unique

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#elementary-set-theory #proof-verification #relations
906
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Symmetric relation definition - why is this false?

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#elementary-set-theory #relations
222
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Use of the symbol $\lneq$

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#inequality #notation #relations
498
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Reflexive relations problems

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#discrete-mathematics #relations
447
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Composing equivalence relations

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#discrete-mathematics #relations #equivalence-relations
769
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Show that $\leq$ is transitive over the cardinality of sets

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#elementary-set-theory #relations #order-theory #cardinals
99
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Connections between Posets and WQO's

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#combinatorics #relations #order-theory #equivalence-relations
54
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Show that $F: P(\mathbb{N} \times \mathbb{N}) \rightarrow P(\mathbb{N} \times \mathbb{N})$ defined as $F(r) = r \circ r$ is not surjection

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#functions #elementary-set-theory #relations
273
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Is the relation {(2,3),(3,3),(4,2),(5,1)} a function with domain and co-domain {1,2,3,4,5}?

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#discrete-mathematics #relations
431
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Equal equivalence classes proof

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#relations #equivalence-relations
188
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Counting number of mathematical objects and structures

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#combinatorics #functions #elementary-set-theory #relations #big-list
149
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Why does $xRy$, where $R$ is equivalence relation, imply that $[[x]]_R=[[y]]_R$?

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#relations #equivalence-relations
847
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Definition of the domain of a partial function

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#functions #elementary-set-theory #terminology #relations
44
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Check if ρ is an equivalence relation

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#relations #algebraic-groups
65
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Algebraic structures

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#group-theory #relations #abelian-groups

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