Apply Stone- Weierstrass Theorem
138054
Proving that $\int_0^1 f(x)e^{nx}\,{\rm d}x = 0$ for all $n\in\mathbb{N}_0$ implies $f(x) = 0$
56446
A kind of converse of Lagrange's Theorem
51546
Geometrical Interpertation of Cauchy's Mean Value Theorem
61640
Prove c exists for f:[0,1] -> R
58562
How can we prove that $D(f)\backsimeq\operatorname{Spec} A_f$?
72717
Use Mittag-Leffler to prove Weierstrass Factorization Theorem
58189
Bolzano-Weierstrass Theorem Proof Abbott (Ax. of Choice)
61799
Prove that $\Vert f(b)-f(a)-f'(a)(b-a) \Vert\leq \sup_{x\in [a,b]} \Vert f''(x)\Vert\Vert b-a\Vert^2$
149500
Regarding Periods of Weierstrass $\wp$ function
121271
Stirling's Approximation Proof
134199
Holomorphic function mapping a set onto a straight line
109200
Baby Rudin theorem 2.41
24478
What is the name of this theorem, and are there any caveats?
58087
Riemann rearrangement theorem
57528
Hartshorne Theorem 8.17
115712
Application of Derivatives rigorous proof
148247
Prove the existence of an analytic function