"proved a theorem" is a correct and usable phrase in written English.
You can use this phrase when referring to a mathematical statement that has been shown to be true through a logical argument or proof. For example, "In 1829, Évariste Galois proved a theorem that solved a longstanding problem in mathematics."
Further, Duverney [18] proved a theorem that gives a criterion for the sums of infinite series to be transcendental.
Later on, Wardowski and Van Dung [18] gave the idea of F-weak contraction and proved a theorem concerning F-weak contraction.
In (Rocky Mt. J. Math. 38 801-807, 2008), we proved a theorem dealing with an application of quasi-σ-power increasing sequences.
In a 2001 paper co-authored with Alessandra Carbone, now at the Université Pierre et Marie Curie in Paris, for example, Gromov proved a theorem on the virtual certainty of unicellular life in pond water: Within a mathematical framework that stipulates what it takes for a random arrangement of chemicals to be considered living, they found, the "live" states vastly outnumber the "dead" ones.
Using the generalized minimax theorem, Huang and Shen proved a theorem of existence and uniqueness of solution for the equation [14] under the weaker conditions than those in [13].
Recently Lal [9] has proved a theorem on the degree of approximation of a function f belonging to the Lipα ( 0 < α ≤ 1 ) class by C 1 ⋅ N p summability method of its Fourier series.
In both cases – finding a joke or proving a theorem – intuition tells you if your time is being invested in a profitable area".
When you try to prove a theorem, you can almost be totally lost to knowing exactly where you want to go.
This paper first presents and proves a theorem to find the optimal solution of a special case of SRFLP.
We prove a theorem on Hill stability, which is an essential strengthening of Theorem 2 from Sosnitskii (2014a).
We prove a theorem characterizing Gaussian functions and we prove a strict superaddivity property of the Fisher information.
