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"straightforward proof" is correct and usable in written English.
You can use it when you want to refer to evidence that is easy to understand and clearly demonstrates a point. For example, "The straightforward proof submitted by the plaintiff was sufficient enough to convince the jury of their innocence."
Exact(8)
More straightforward proof of Lancaster's lifetime achievement, as they say on the awards shows, is on view at the Walter Reade Theater through May 18, in the Film Society of Lincoln Center's retrospective, "American Dreamer: Burt Lancaster".
The straightforward proof of (14) is given in the Appendix section.
In this article we give a straightforward proof of refined inequalities between Lorentz spaces and Besov spaces and we generalize previous results of H. Bahouri and A. Cohen [2].
In this work, a straightforward proof is presented to demonstrate that, for an isotropic hyperelastic solid, the just-mentioned stress strain pair τ and h are derivable from two dual scalar potentials with respect to each other.
The present paper is concerned with expounding an altogether new method specifically designed to provide a straightforward proof that there is no possible solution for some family of systems of Diophantine linear equations which share the same dependent terms while differing in its independent terms.
Furthermore, we give some bounds on total restrained domination number of graphs with diameter 3. Finally, we present some bounds for total restrained domination number of some planar graphs with diameter 2 and γ-set of cardinality 2. We begin with the following result that has a straightforward proof.
Similar(52)
Finally Dedekind indicates how, along such lines, explicit and straightforward proofs of various facts about the real numbers can be given, including ones that had been accepted without satisfactory proof so far.
We omit the straightforward proofs that the MWVR and MWER problems are in NP.
Proof Straightforward.
This is not always straightforward as a proof can be presented in different ways.
The other procedure is straightforward from the proof of Theorem 1, so it is omitted.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com