LavaScornedOven

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A fresh math enthusiast

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6 Questions

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3	Naive set theory equality proof
3	Prove transitivity of $\forall X( X\subseteq A\setminus\{a, b\}\rightarrow(X\cup \{a\}\in\mathcal{F}\rightarrow X\cup\{b\}\in\mathcal{F}))$
3	Stuck with proof for $\forall A\forall B(\mathcal{P}(A)\cup\mathcal{P}(B)=\mathcal{P}(A\cup B)\rightarrow A\subseteq B \vee B\subseteq A)$
1	Uniqueness proof for $\forall A\in\mathcal{P}(U)\exists!B\in\mathcal{P}(U)(C\setminus A=C\cap B)$
1	Finding a mistake in the incorrect proof for $(S\setminus T)\circ R\subseteq (S\circ R)\setminus(T\circ R)$

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168 Reputation

+15	Prove transitivity of $\forall X( X\subseteq A\setminus\{a, b\}\rightarrow(X\cup \{a\}\in\mathcal{F}\rightarrow X\cup\{b\}\in\mathcal{F}))$
+5	Finding a mistake in the incorrect proof for $(S\setminus T)\circ R\subseteq (S\circ R)\setminus(T\circ R)$
+5	Uniqueness proof for $\forall A\in\mathcal{P}(U)\exists!B\in\mathcal{P}(U)(C\setminus A=C\cap B)$
+5	Stuck with proof for $\forall A\forall B(\mathcal{P}(A)\cup\mathcal{P}(B)=\mathcal{P}(A\cup B)\rightarrow A\subseteq B \vee B\subseteq A)$

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0 Answers

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5 Tags

0 elementary-set-theory × 6	0 relations × 2
0 proof-writing × 3	0 quantifiers
0 proof-strategy × 2

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	Stack Overflow	378 rep	128
$Mathematics Stack Exchange$	Mathematics	168 rep	5

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