The phrase "a proof to show" is correct and usable in written English.
It can be used when referring to evidence or a demonstration intended to validate a claim or argument.
Example: "The researcher provided a proof to show the effectiveness of the new treatment in clinical trials."
Alternatives: "evidence to demonstrate" or "a demonstration to prove".
Years later she confessed that if she had had a camcoder, it would have certainly been worth its weight in gold, because she would have taped all my temper tantrums and other mischievous behaviour and have that as a proof to show to other -disbelieving- people.
The police took some of my posters away as a "proof" to show to some "important" guy.
Because the parallelism of the priority queue changes the work flow of the overall A* algorithm, it is necessary to provide a proof to show that GA* is able to compute a global optimal solution.
Also, we give a short proof to show that the vector-valued space of Stepanov-like weighted pseudo almost periodic functions is a Banach space.
We use a simple proof to show that this assumption of Poisson handoff arrival process is not justified for a two-cell wireless network.
This proves that v 0 t)≤v 1 t) on J using Corollary 2. We can do a similar proof to show w 0≥w 1.
Besides that, we give a mathematical proof to show that the new definition is valid, using theoretical results on integer programming.
In case (viii), one can use a similar proof to show that if K 1 < γ 1 C 1, then E 1 is a decreasing function of x and if K 1 > γ 1 C 1, then E 1 is an increasing function of x. □.
Remark The authors left an open problem as a challenge for someone to find an elementary proof to show that the constants appearing in Theorem 1.1 match those appearing in Theorem 1.2.
In this paper an analytical proof to show that the natural frequencies of a cracked beam with a roving body possessing mass and rotary inertia will generally change abruptly as the body passes over a crack, provided that the crack permits differential flexural rotations, is presented.
Particularly, we give an alternative proof to show that the space of Stepanov-like weighted pseudo almost periodic functions is a Banach space.
