Prove that T is not a contraction.
99726
Proving that a function is not a contraction
100121
Assume that $(\text{X}, T)$ is compact and Hausdorff. Prove that a comparable but different topological space $(\text{X},T')$ is not.
87570
Prove that if a function's average is nondecreasing then the function is nondecreasing.
11259
Prove $R\times S$ is not an integral domain
79686
How can I prove these statements?
130253
Differentiating $\mbox{tr} (ABA^TC)$ w.r.t. $A$
84004
Prove there is no contraction mapping from compact metric space onto itself
139841
Proving $A\setminus(B\setminus C)$ is not equal to $(A\setminus B)\setminus C$
118996
Prove that $T$ is an orthogonal projection
155170
Proving $\sin(x^2)$ Continuous but Not Uniformly Continuous with non-standard Definition
69046
Proof of $\mathbb{Q}$ is not cyclic
35115
Questions on how to prove that a set of connectives is NOT functionally complete
132386
Show that $(\mathbb{Q}^*,\cdot)$ and $(\mathbb{R}^*,\cdot)$ aren't cyclic
125668
A proof that BS(1,2) is not polycyclic
35953
Prove that a function is not injective
80279
Show that $S + T$ and $aT$ are linear
107389
Show that the vector space of real functions is not finitely spanned