If two subsets $S,T\subseteq G$ have sum of cardinalities greater than $|G|$, then $S+T=G$
7121
If $G$ is a finite group and $|G| < |A| + |B|$, then $G=AB$.
51617
What is the proof that the total number of subsets of a set is $2^n$?
77902
If $A,B,$ and $C$ are sets, then $A\times(B-C)$ = $(A \times B)$ $-$ $(A \times C)$.
95373
Additive set function on a semiring of sets
144360
For any sets $A$ and $B$, show that $(B\smallsetminus A)\cup A=B \iff A\subseteq B$.
142267
If two sets have the same cardinality, then so do their power sets. Converse can't be answered?
140668
Union of $2$ set $A, B$ where $ A$ is a subset of $B$
83714
$A \in B$ vs. $A \subset B$ for proofs
93157
If $A \subseteq B$, does $\mbox{dist}(x,\partial A) \le \mbox{dist}(x, \partial B)$ hold for all $x \in A$
23764
Proving that $A+A \not\subset 2A $ using a particular definition for sum of sets
44214
The number of subsets of a set of cardinality $n$
134120
Prove statement with a counter-example: For all sets S, T and V, V ∪ (S ∩ T) = (V ∪ S) ∩ T is false
72256
Prove there exists two sub-sets of indices $I,J\subseteq [2n]$ such that $\sum_{i\in I}a_i=\sum_{j\in J}b_j$
7112
Product of sets and supremum
144787
Show that the set of all infinite subsets of $\mathbb{N}$ has cardinality greater than $\mathbb{N}$
106325
Question about Cardinality
136735
Why is the cardinality of set S is 3^n, where S is the collection of all ordered pairs of disjoint subset of {1,2,3,...,n} where n is non negative.