Proof for indexed family of sets and intervals in real analysis
99464
Proof Concerning Indexed family of Sets and Intervals
151686
A proof that the Cantor set is Perfect
141618
Is every real valued function on an interval a sum of two functions with Intermediate Value Property?
121366
Intervals and cardinality
155311
How to get a set $E$ such that $0<\mu(E\cap I)<\mu(E)$ for all interval $I$?
52388
The equivalence of open-set definition of continuous mappings to the $\epsilon-\delta$ definition
50037
Proving that kernels of evaluation maps are generated by the $x_i - a_i$
107641
Show that an infinite set of families are linearly independent
82628
Cardinality of a set of closed intervals
158882
Prove the existence of some weird family of sets
91736
Explicit homeomorphism between open and closed rational intervals?
119858
Proof: Every convergent sequence of real numbers is bounded
116009
Proving that if a set is both open and closed then it is equal to the real numbers
117478
Prove that $\mathbb{R}$ and the interval $(0, \infty)$ have the same cardinality.
146664
The union of two linearly independent subsets
108394
Proof of that every interval is connected
61747
Proof of exchange principle in set theory