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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
supplementary proof
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "supplementary proof" is correct and usable in written English.
It can be used when referring to additional evidence or documentation that supports a claim or argument. Example: "In order to strengthen our case, we will provide supplementary proof to validate our findings."
✓ Grammatically correct
Science
Alternative expressions(16)
additional evidence
supporting evidence
corroborating evidence
further substantiation
supporting documentation
reinforcing information
substantiating details
confirmatory analysis
supplementary documentation
further confirmation
validating data
independent verification
supplementary validation
additional verification
second opinion
additional proof
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
2 human-written examples
The appearance of C O vibrations at 1100 1000 cm−1, belonging to –CH2OH from EA was a supplementary proof of salt formation.
Science
The CGI scores and BfS scores were defined as secondary outcome measures and systematically reviewed for a supplementary proof.
Science
Human-verified similar examples from authoritative sources
Similar Expressions
56 human-written examples
These can be found in the supplementary documents Proof of NE in SQML and Proof of CBF in SQML.
Science
As τ→0, λ K →λ S and ϕ K →ϕ S. Since λ S is statistically consistent (see Supplementary Material for proof), λ K is statistically consistent as n k →��� and τ→0.
Science
See the Supplementary Material for proofs of Lemma 1 and Theorem 1. Similarly to Theorem 1, we can show that any pairwise tree alignment that does not take joining nodes into account, can also be computed in this time.
Science
If T generates F then for all samples p ∈ [ m ] and mutations j ∈ [ n ], (2) f p j ≥ ∑ v k ∈ δ (v j ) f p k. See the Supplementary Appendix for the proof of the sum condition.
Science
With the feature notation, we define: (6) Assuming strong complementarity slackness, we obtain the following result (see Supplementary Material for detailed proof): T heorem 1 (7) (7) Therefore, if after the corrector step, (and its associated parameter ) must be added to the active set.
Science
It is straightforward to show that for any multiset L of size m, it is always possible to obtain an ε-BTP with k = m − 1 auxiliary nodes (proof in Supplementary Appendix A.3). Also, when ε i = 0 for all 1 ≤ i ≤ m, a BTP exists for L if and only if the corresponding ε-BTP has a solution with k = 0 auxiliary nodes.
Science
Contact: [email protected] Supplementary information: Some counterexamples, proofs of the results not included in this article, and some computational experiments are available at Bioinformatics online.
Science
Section 3 details the mathematical basis for our algorithm and illustrates its application to proportional hazard models using Cox's partial likelihood as loss function (with further detailed proofs as Supplementary Material).
Science
(For proof see the supplementary document Proof of the Falsification Theorem).
Science
Expert writing Tips
Best practice
When using "supplementary proof", ensure it genuinely adds value to the existing argument, rather than merely repeating information.
Common error
Avoid presenting "supplementary proof" as if it's the core evidence. It should always be understood as additional, not primary, support.
Source & Trust
78%
Authority and reliability
4.1/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "supplementary proof" functions as a noun phrase that identifies additional substantiating information. According to Ludwig, it is considered grammatically correct and usable in written English, serving to strengthen existing claims.
Frequent in
Science
100%
Less common in
News & Media
0%
Formal & Business
0%
Encyclopedias
0%
Ludwig's WRAP-UP
The phrase "supplementary proof" is a grammatically sound and usable term, primarily found in scientific contexts. Ludwig indicates its role as providing additional evidence to bolster an existing argument. While not a frequently used phrase, it serves the purpose of adding credibility and assurance to the primary evidence. Alternatives such as "additional evidence" or "supporting evidence" may be used interchangeably depending on the specific nuance required. It's important to use "supplementary proof" judiciously, ensuring it genuinely enhances the argument without overshadowing the primary evidence.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
additional evidence
Focuses on the 'evidence' aspect, emphasizing that it's an addition.
supporting evidence
Highlights the 'support' function of the evidence.
corroborating evidence
Indicates evidence that confirms or supports a statement or theory.
supplemental validation
Similar to "supplementary proof" but using 'validation' instead of 'proof'.
further substantiation
Emphasizes the act of providing more evidence to prove something.
extra verification
Focuses on the 'verification' aspect, implying an additional check.
reinforcing data
Focuses on data that strengthens or supports a claim.
secondary confirmation
Highlights that the confirmation is not primary but still adds value.
auxiliary confirmation
Highlights the 'auxiliary' nature of the confirmation, meaning it's providing additional support.
backup documentation
Emphasizes documentary support that serves as a reserve.
FAQs
What does "supplementary proof" mean?
The phrase "supplementary proof" refers to additional evidence presented to support a claim or argument that has already been partially substantiated. It serves to reinforce existing points rather than introduce entirely new ones.
When should I use "supplementary proof" in my writing?
Use "supplementary proof" when you want to strengthen your argument with "additional evidence" without making it the central focus of your reasoning. It's useful for addressing potential counterarguments or providing further reassurance.
Is "supplementary proof" the same as primary evidence?
No, "supplementary proof" is not the same as primary evidence. Primary evidence forms the foundation of an argument, whereas "supplementary proof" acts as "supporting evidence" to bolster existing claims.
What are some alternatives to "supplementary proof"?
You can use alternatives like "additional evidence", "supporting evidence", or "corroborating evidence", depending on the specific nuance you want to convey.
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Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
78%
Authority and reliability
4.1/5
Expert rating
Real-world application tested