Taking suprema on a set-equality
14162
How can I prove $\sup(A+B)=\sup A+\sup B$ if $A+B=\{a+b\mid a\in A, b\in B\}$
64320
Prove that if $0<a<Pr(A)$ then there exists $B\subset A$ such that $Pr(B)=a$
107234
Is the mean of equal length subsets always equal to the mean of the set?
25874
Showing that a certain map is not flat by explicit counterexample
49994
Deduction of $\forall y \exists x (x=y)$
100565
Property of sup of a set of numbers
152856
Using $p\supset q$ instead of $p\implies q$
142886
Find set with maximal cardinality given constraints
128111
Why is a deductive closure an intersection of maximally consistent sets?
127596
Composition of equivalence relations
76863
How to show $ \sup \inf g(x,y) \leq \inf \sup g(x,y)$?
34677
Sequence Converging to Supremum
152817
Proving $\sup B=\inf A$
71133
prove inequlity about cardinality power sets
84609
Unary intersection of the empty set
1521
Supremum and Infimum
47820
How can I show a supremum of a set is also its limit point?