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The phrase "a complementary proof for" is correct and usable in written English.
It can be used when discussing an additional proof that supports or enhances a primary proof in a mathematical or logical context.
Example: "In addition to the main theorem, I will present a complementary proof for the validity of the conjecture."
Alternatives: "an additional proof for" or "a supporting proof for".
Exact(1)
In what follows, we shall give a complementary proof for the main result in [1] by giving a proof of (2.4).
Similar(59)
In this paper, we give a complementary proof on the paper 'Existence and uniqueness of anti-periodic solutions for prescribed mean curvature Rayleigh equations'.
To do it, Li and Wang in [16] gave a complementary proof.
In this paper, we shall give a complementary proof to correct the errors.
We believe that our in vitro results provide an important complementary proof to our in vivo findings and should not be removed from the manuscript.
By then, Mr. Dowling owned the Carlyle and planned a complementary structure for the site across Madison.
As a complementary job for a writer, it's wonderful.
Use a vibrant accent in a complementary tone for the perfect contrast piece.
REDD+ should be seen as a complementary way for all sectors to move towards deep decarbonisation.
Proof: It is enough to have a proof for a single column appended from the right.
Proof: Again, it is enough to have a proof for a single column added from the right.
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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