New posts in proof-explanation

Each atom of the measure μ is equivalent to a singleton.

probability-theory measure-theory solution-verification proof-explanation

Help understanding a proof for "if a prime number $p$ divides $ab$ for $a,b \in \mathbb{N}$, then $p$ divides $a$ or $p$ divides $b$"

elementary-number-theory prime-numbers proof-explanation

Does $A\subset(\overline A)^0$ hold in this situation?

general-topology elementary-set-theory proof-explanation

Confused by proof of the irrationality of root 2: if $p^2$ is divisible by $2$, then so is $p$.

elementary-number-theory discrete-mathematics proof-explanation

Euclid's Lemma in a PID: irreducibles are prime: $ \pi\mid ab\Rightarrow \pi\mid a\,$ or $\pi\mid b$

abstract-algebra number-theory ring-theory proof-explanation principal-ideal-domains

Prove that $\lim_{n\to\infty}a_n\le \lim_{n\to\infty}b_n$

real-analysis sequences-and-series proof-verification alternative-proof proof-explanation

Proving that the kernel of a homomorphism is exactly equal to a normal subgroup $A'$

group-theory proof-explanation normal-subgroups group-homomorphism

$H_1 ,H_2 \unlhd \, G$ with $H_1 \cap H_2 = \{1_G\} $. Prove every two elements in $H_1, H_2$ commute

abstract-algebra group-theory abelian-groups proof-explanation normal-subgroups

Clarification needed for proof of Theorem $17.2$ from Munkres Topology regarding necessary and sufficient conditions for a set to be closed.

general-topology elementary-set-theory intuition proof-explanation

Confusion concerning Lemma 1.12 in Wiles's proof of Fermat's Last Theorem

linear-algebra proof-explanation representation-theory galois-theory galois-representations

The "assumption" in proof by induction

proof-writing induction proof-explanation fake-proofs

Overlapping hemispheres [closed]

calculus probability geometry probability-theory proof-explanation

Proof of Cauchy's functional equation

real-analysis proof-explanation functional-equations

Proof that the continuous image of a compact set is compact [duplicate]

real-analysis analysis proof-explanation compactness

Proof of multiple equivalences.

logic solution-verification proof-explanation

Understanding a proof of: If $N\unlhd G$ s.t. $N$ and $G/N$ are solvable, then $G$ is solvable.

group-theory proof-explanation normal-subgroups quotient-group solvable-groups

Quotient field operations are well-defined: fleshing out Vinberg's sketch

abstract-algebra proof-explanation fractions equivalence-relations

Why the isometry $h(v)=Av+w$ is a rotation around $P$ when $\det A=1$

linear-algebra geometry proof-explanation isometry

Clarifying a step in the bisection proof of Weierstrass-Bolzano Theorem

real-analysis sequences-and-series elementary-set-theory proof-explanation quantifiers

For $a,b$ coprime, there exists positive integers $x,y$ such that $ax-by=1$

elementary-number-theory proof-explanation problem-solving pigeonhole-principle