Does $A\simeq_\varphi B$ imply $A/{\sim}\,\, \simeq B/\varphi(\sim)$?
37892
If $X$ is homeomorphic to $Y$ then is $X/{\sim}$ homeomorphic to $Y/{\sim'}$?/
71967
cardinality of the set of $ \varphi: \mathbb N \to \mathbb N$ such that $\varphi$ is an increasing sequence
139652
summable square function implies...?
93157
If $A \subseteq B$, does $\mbox{dist}(x,\partial A) \le \mbox{dist}(x, \partial B)$ hold for all $x \in A$
45179
When does the isomorphism $G\simeq \ker(\phi)\times \operatorname{im}(\phi)$? hold?
39708
Proving $(A\le B)\vee (B\le A)$ for sets $A$ and $B$
125966
Why there's a finite $\Gamma '$ such that $\Gamma ' \vDash \varphi$?
18330
Does $R[x] \cong S[x]$ imply $R \cong S$?
155136
$x\in \{\{\{x\}\}\}$ or not?
92975
Does $a^n \mid b^n$ imply $a\mid b$?
67717
$A \oplus B = A \oplus C$ imply $B = C$?
100303
A necessary and sufficient condition for $A\cap(B+C)=(A\cap B)+C$ to hold for submodules
43462
Disprove $\mathcal{P}(A\Delta B) \setminus \{\emptyset\} = \mathcal{P}(A) \Delta\mathcal{P}(B) $. Is my proof good?
141418
When is $\mathbb{F}_p[x]/(x^2-2)\simeq\mathbb{F}_p[x]/(x^2-3)$ for small primes?
75199
$a \equiv b \pmod n$ and $c\equiv d \pmod n$ implies $ac \equiv bd \pmod n$
87265
If $(A-\lambda{I})$ is $\lambda$-equivalent to $(B-\lambda{I})$ then $A$ is similar to $B$
6119
If both $P$ and $Q$ are true , how can I tell that $P$ implies $Q$?