Newbetuts

Critique my proof of: Suppose $A$, $B$, and $C$ are sets, and $A\setminus B \subseteq C$. Then $A\setminus C \subseteq B$.

"The following are equivalent"

If $f(x + y) \leq yf(x) + f(f(x))$ for all real numbers $x$ and $y$, then prove that $f(x) = 0$ for all $x ≤ 0$.

Integers minimizing sum of square roots given a sum constraint

Is this argument valid for showing given integers $n>1$ and $2^m > 3^n$, $(2^m - 3^n) \nmid 3^n - 2^n$

Proving a theorem, what is meant by sufficiency and necessity?

Proof that there are infinitely many primes congruent to 3 modulo 4

Prove that $\int_0^\pi\frac{\cos x \cos 4x}{(2-\cos x)^2}dx=\frac{\pi}{9} (2160 - 1247\sqrt{3})$

What is the symbolic form of "there does not exist a largest natural number "

$\sigma$-algebra generated by a subcollection

Do powers of 256 all end by 6 and if so, how to prove it? [duplicate]

Critique my proof of: P → (Q → R). Then ¬R → (P → ¬Q)

Prove that a set consisting of a sequence and its limit point is closed

Proof: Show there is set of $n+1$ points in $\mathbb{R}^n$ such that distance between any two distinct points is $1$?

Prove $ x^n-1=(x-1)(x^{n-1}+x^{n-2}+...+x+1)$

Proving that: $\forall n \in \mathbb{N} :|f^{(n)}(x)|\leq \frac{1}{n+1}$

New posts in proof-writing

Proving $\lfloor 2x \rfloor = \lfloor x \rfloor + \lfloor x+0.5\rfloor$

$T \in \text{Hom}V $ is nilpotent implies $I - T$ invertible [duplicate]

Proof of uniqueness of identity element of addition of vector space

Infinite limit proof

Critique my proof of: Suppose $A$, $B$, and $C$ are sets, and $A\setminus B \subseteq C$. Then $A\setminus C \subseteq B$.

"The following are equivalent"

If $f(x + y) \leq yf(x) + f(f(x))$ for all real numbers $x$ and $y$, then prove that $f(x) = 0$ for all $x ≤ 0$.

Integers minimizing sum of square roots given a sum constraint

Is this argument valid for showing given integers $n>1$ and $2^m > 3^n$, $(2^m - 3^n) \nmid 3^n - 2^n$

Proving a theorem, what is meant by sufficiency and necessity?

Proof that there are infinitely many primes congruent to 3 modulo 4

Prove that $\int_0^\pi\frac{\cos x \cos 4x}{(2-\cos x)^2}dx=\frac{\pi}{9} (2160 - 1247\sqrt{3})$

What is the symbolic form of "there does not exist a largest natural number "

$\sigma$-algebra generated by a subcollection

Do powers of 256 all end by 6 and if so, how to prove it? [duplicate]

Critique my proof of: P → (Q → R). Then ¬R → (P → ¬Q)

Prove that a set consisting of a sequence and its limit point is closed

Proof: Show there is set of $n+1$ points in $\mathbb{R}^n$ such that distance between any two distinct points is $1$?

Prove $ x^n-1=(x-1)(x^{n-1}+x^{n-2}+...+x+1)$

Proving that: $\forall n \in \mathbb{N} :|f^{(n)}(x)|\leq \frac{1}{n+1}$