Prove if there is no strictly decreasing sequence of elements in linear order A, then A is well ordered
49621
Proof of "well-founded iff there is no sequence $x_n$ s.t. $(x_{n+1}, x_n) \in R$"
1577
Order of nontrivial elements is 2 implies Abelian group
146421
How to prove a total order has a unique minimal element
7214
Does linear ordering need the Axiom of Choice?
150983
Rearrangement of sequences with limit $0$
65168
Proof of sequence inequality
13390
Recursive Monotone Decreasing Sequence Proof ${x_{k}} = \frac{1}{2}\left({x_{k-1}+\frac{a}{{x_{k-1}}}}\right)$
107641
Show that an infinite set of families are linearly independent
104500
find a sequence converging to zero but not the element of lp space for every 1<_p<infinity
5089
An element of a group has the same order as its inverse
3217
Construction of uncountably many non-isomorphic linear (total) orderings of natural numbers
16971
Prove that no ordinal is an element of itself
7843
Show that order of $a^k$
43024
Well-ordered sets, properties of an element that is not largest in the set
33008
Linear order where every initial segment is finite
98634
What is a counterexample for If $x\in\overline{A},$ $x$ is not necessarily a limit of a sequence in $A$?
86926
Why isn't this a well ordering of $\{A\subseteq\mathbb N\mid A\text{ is infinite}\}$?