What does it mean for two definitions (of the reals) to be equivalent?
48028
True Definition of the Real Numbers
80209
If $X,Y$ are equivalence relations, so is $X \times Y$
21374
What is exactly the difference between a definition and an axiom?
32180
Why is "$A$ unless $B$" equivalent to $A \lor B$?
152976
Real Analysis: open and closed sets
76351
Equivalence of continuity definitions
18334
Equivalence between CH and existence of certain sets in $\mathbb{R}^2$
18287
Distinction between equality, logical equivalence and biconditionality.
83130
How are these definitions of the limit superior and limit inferior equivalent?
83842
Alternate proofs (other than diagonalization and topological nested sets) for uncountability of the reals?
15312
Show that $R \cap R^{−1}$ is an equivalence relation on $X$?
98630
For all $x,y\in\mathbb{R}$ define that $x\equiv y$ if $x^{2}=y^{2} $; prove $\equiv$ is an equivalence relation.
115295
Why are the two dot product definitions equal?
100844
How should I understand "$A$ unless $B$"?
17022
Definable real numbers
52293
The equivalence of definitions Riemann integral
28021
Showing that these two definitions of $\gcd(a,b)$ are equivalent