List questions from proof-writing

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projective hypersurface and lines

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Show that $P(A\cap B) \geq 1-P(A^{c})-P(B^{c})$.

Published on 16 Apr 2018 - 2:00

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How do I show this quantity is greater than or equal to $0$?

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Proof of a set as a subset of the other set

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The sum of two odd numbers is even

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$\{A_n\}$ is a sequence of connected subspace of $X$ s.t. $A_n \cap A_{n+1} \not= \emptyset$ for all $n$. Show that $\cup A_n$ is connected

Published on 29 Mar 2026 - 16:39

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How do I prove that the subset of unfixed transpositions from $A_4$ is normal to $A_4$?

Published on 08 Apr 2026 - 11:15

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Simpler proof that $\det A\neq 0$ if $A$ is invertible?

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Proof that if an LP has a finite optimal solution then it cannot be unbounded for $\mathbf{b}'$

Published on 12 Apr 2026 - 21:00

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Proof-check: Using the definition to find the derivative of $f(x)=\sqrt{x}$.

Published on 12 Apr 2026 - 12:25

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Prove that HM of two natural number is not a natural number

Published on 11 Apr 2026 - 16:05

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Can minuscule chance of failure be useful in a proof?

Published on 11 Apr 2026 - 13:37

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In proving that $\sqrt{a}$ is always irrational, $\forall a\in\left\{\Bbb R^+ : 1< a\neq b^2\right\}$... a different way.

Published on 12 Apr 2026 - 19:15

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Prove that if $A \subset B$ then $R[A] \subset R[B]$

Published on 01 Apr 2026 - 0:40

List Question

The "assumption" in proof by induction

projective hypersurface and lines

Show that $P(A\cap B) \geq 1-P(A^{c})-P(B^{c})$.

How do I show this quantity is greater than or equal to $0$?

Proof of a set as a subset of the other set

The sum of two odd numbers is even

$\{A_n\}$ is a sequence of connected subspace of $X$ s.t. $A_n \cap A_{n+1} \not= \emptyset$ for all $n$. Show that $\cup A_n$ is connected

How do I prove that the subset of unfixed transpositions from $A_4$ is normal to $A_4$?

Simpler proof that $\det A\neq 0$ if $A$ is invertible?

Proof that if an LP has a finite optimal solution then it cannot be unbounded for $\mathbf{b}'$

Proof-check: Using the definition to find the derivative of $f(x)=\sqrt{x}$.

Prove that HM of two natural number is not a natural number

Can minuscule chance of failure be useful in a proof?

In proving that $\sqrt{a}$ is always irrational, $\forall a\in\left\{\Bbb R^+ : 1< a\neq b^2\right\}$... a different way.

Prove that if $A \subset B$ then $R[A] \subset R[B]$

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