The phrase "a new proof for" is correct and usable in written English.
It can be used when introducing a fresh argument or demonstration supporting a particular theory or statement.
Example: "The mathematician presented a new proof for the longstanding conjecture, which intrigued the audience."
Alternatives: "a novel demonstration of" or "an updated argument for".
On the collaborative blog MathOverflow, mathematicians earn reputation points for contributing to solutions; in another math experiment dubbed the Polymath Project, mathematicians commenting on the Fields medalist Timothy Gower's blog in 2009 found a new proof for a particularly complicated theorem in just six weeks.
We give a new proof for power-type weighted Hardy inequality in the norms of generalized Lebesgue spaces.
In Section 3, we discuss Theorem 9.5 of Veach's thesis and present a new proof for a slightly modified theorem.
Then we give a new proof for the infinite solutions to the problem, having a prescribed number of nodes.
We give a new proof for the existence of a Ck-center manifold at a nonhyperbolic equilibrium point of a finite-dimensional vector field of class Ck.
As a by-product, we obtain a new proof for the existence of multi-window Gabor frames and extend the structure theory of Gabor frames.
Our data provide a new proof of concept for ultrasound simulation of peripheral nerves in 3D-ultrasound multivolumes based on high-resolution ultrasound technology.
As a result we obtain a new proof of Rosenthalʼs theorem for (Haagerup) Lp-spaces.
We will give a new proof of the theorem for the sets J and (J^) in the language of a fixed point theorem.
Using a method of S. Klainerman and M. Machedon, we give a new proof of global existence for the coupled Dirac and Klein Gordon equations in one space dimension.
Besides providing a new proof of this conjecture for the full non-Abelian group action case, our methods lead to a generalization for compact Lie group actions on manifolds that are not symplectic; these manifolds carry an invariant almost complex structure and an abstract moment map.
