List questions from solution-verification

35

Views

How does $P(x_{0}) \land \forall y \forall z ((P(y) \land P(z) \rightarrow y=z) \land P(y)$ imply $y=x_{0}$

Published on 14 Apr 2026 - 8:26

81

Views

Finite product of homotopy classes.

Published on 05 May 2026 - 2:22

73

Views

Should I prove the map is bijective?

Published on 11 Apr 2026 - 23:24

48

Views

immersion $\circ$ embedding is again embedding

Published on 11 Apr 2026 - 15:20

67

Views

Galois group of $x^3+t^2x-t^3$ over $\mathbb{C}(t)$

Published on 16 Apr 2026 - 12:26

90

Views

Prove $A\cap (X \setminus A) =\emptyset$ and $(A\cap B)\cap C=A\cap (B\cap C)$

Published on 15 Apr 2026 - 19:48

137

Views

Dubious proof in Halmos's book: Two similar ordinal numbers are always equal

Published on 14 Apr 2026 - 14:20

99

Views

Prove that for any $a,b,c,d\in\mathbb{R}$, $[a,b]\sim[c,d]$

Published on 17 Apr 2026 - 10:18

51

Views

verification of Sup X <= Inf Y

Published on 09 Apr 2026 - 14:45

24

Views

Extension With an Element Has Different Images Under Automorphism Generates the Extension

Published on 16 Apr 2026 - 2:24

37

Views

Another proof of the portmanteau theorem

Published on 11 Apr 2026 - 15:34

112

Views

$k:A\to 0$ implies $A\cong 0$

Published on 16 May 2026 - 12:23

54

Views

If $a<b$ and $c<d$, then $[a,b]$ and $[c,d]$ have the same cardinality

Published on 16 Apr 2026 - 12:56

42

Views

Limit of progressing root

Published on 11 Apr 2026 - 18:01

66

Views

How to approach basic probability problem

Published on 11 Apr 2026 - 5:53

List Question

How does $P(x_{0}) \land \forall y \forall z ((P(y) \land P(z) \rightarrow y=z) \land P(y)$ imply $y=x_{0}$

Finite product of homotopy classes.

Should I prove the map is bijective?

immersion $\circ$ embedding is again embedding

Galois group of $x^3+t^2x-t^3$ over $\mathbb{C}(t)$

Prove $A\cap (X \setminus A) =\emptyset$ and $(A\cap B)\cap C=A\cap (B\cap C)$

Dubious proof in Halmos's book: Two similar ordinal numbers are always equal

Prove that for any $a,b,c,d\in\mathbb{R}$, $[a,b]\sim[c,d]$

verification of Sup X <= Inf Y

Extension With an Element Has Different Images Under Automorphism Generates the Extension

Another proof of the portmanteau theorem

$k:A\to 0$ implies $A\cong 0$

If $a<b$ and $c<d$, then $[a,b]$ and $[c,d]$ have the same cardinality

Limit of progressing root

How to approach basic probability problem

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