Used and loved by millions
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
for the full proof
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "for the full proof" is not correct in standard written English.
It seems to be a misinterpretation or a mix-up of terms, possibly intending to refer to "full proof" or "foolproof." Example: "The design of the product is foolproof, ensuring that anyone can use it without making mistakes."
⚠ May contain grammatical issues
Science
News & Media
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
3 human-written examples
For the full proof, see Proposition 8 in Book 13 of "Euclid's Elements," translated by T. L. Heath, edited by D. Densmore (Green Lion Press, 2002).
News & Media
See the Appendix for the full proof.
This result appeared in physics [12, 26, 47] and is now supported by full mathematical rigor (see [48], Chap. 6, for the general setting and [49], Sect. 4 for the full proof); we shall use the same methods to derive non-Euclidean pinwheel densities in Sect.
Human-verified similar examples from authoritative sources
Similar Expressions
57 human-written examples
The full proof for the general case is outside the scope of this manuscript*1.
Science
Since there are too many changes required for the proof of [[1], Theorem 1], we present the full proof of Theorem 1 as follows.
For completeness of our explanations, we present the full proofs here.
Science
References are given to the full proofs of these three results in [ 10].
Science
Over the years several related proofs were published, but the first full proof of Gödel's original result was given only in 1994 by Sam Buss in his 'On Gödel's theorems on lengths of proofs I: Number of lines and speedups for arithmetic.' (Buss 1994).
Science
The strategy discussed the modeling and analysis techniques to safety critical computer based systems using Petri net for full proof design.
Science
Again, for space, we omit a full proof, but the lemma is intuitive: to go up one cost class you should only change the cost class used for one of the subderivations.
Science
This analysis can be viewed as an exploratory step in the endeavor of searching for full proofs in (more general) nonlinear systems.
Expert writing Tips
Best practice
When referring to a complete and thorough mathematical or logical demonstration, use phrases like "complete proof", "detailed proof", or "rigorous proof" for clarity and precision.
Common error
Be cautious about using the phrase "for the full proof" as it's not a standard English construction. Instead, consider whether you mean "complete proof" (a thorough demonstration) or "foolproof" (something guaranteed not to fail).
Source & Trust
77%
Authority and reliability
2.8/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "for the full proof" functions as a prepositional phrase, often used to introduce a reference to where a complete demonstration or explanation can be found. However, as Ludwig indicates, the phrasing itself isn't standard.
Frequent in
Science
67%
News & Media
33%
Formal & Business
0%
Less common in
Encyclopedias
0%
Wiki
0%
Reference
0%
Ludwig's WRAP-UP
In summary, while the phrase "for the full proof" appears in some contexts, it is not considered standard English. Ludwig's AI suggests it may be a misinterpretation, and recommends alternatives such as "complete proof" or "detailed proof". Usage is rare and primarily found in scientific or news-related articles. To enhance clarity and grammatical correctness, it is better to use alternatives like "for the complete proof" or "for the detailed proof" in your writing. While the intention is understood, choosing more conventional phrasing improves communication.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
for the complete proof
Replaces "full" with "complete" to emphasize thoroughness.
for the entire proof
Substitutes "full" with "entire" to convey the comprehensive nature of the proof.
for the detailed proof
Replaces "full" with "detailed" to highlight the level of specification in the proof.
for the exhaustive proof
Substitutes "full" with "exhaustive" to emphasize the comprehensive and thorough nature of the proof.
for the rigorous proof
Replaces "full" with "rigorous" to highlight the stringent and precise nature of the proof.
for the foolproof method
Changes the noun from "proof" to "method" and modifies the adjective to "foolproof" to suggest an infallible process.
for the unassailable proof
Uses "unassailable" instead of "full", indicating that the proof cannot be challenged.
for the conclusive proof
Replaces "full" with "conclusive" to indicate the proof settles the matter.
for the definitive proof
Replaces "full" with "definitive" to suggest the proof is authoritative and final.
for a comprehensive demonstration
Changes the noun to demonstration and emphasizes the full scope of the explanation.
FAQs
What does "complete proof" mean?
A "complete proof" refers to a demonstration or argument that leaves no gaps or uncertainties, thoroughly establishing the truth of a statement or theorem. It is often used in mathematical or logical contexts.
Is it better to say "full proof" or "complete proof"?
"Complete proof" is generally preferred over "full proof" because it's more grammatically sound and widely accepted in standard English. "Full proof" might be misinterpreted or sound unnatural.
What's a "foolproof method"?
A "foolproof method" is a process or technique designed to be completely effective and reliable, leaving no room for error or failure. It is designed so even someone unskilled can succeed.
How can I ensure my evidence is "unassailable proof"?
To make your evidence "unassailable proof", ensure it is verifiable, consistent, and comprehensive. Address any potential counterarguments and provide a clear chain of reasoning to support your claims.
Editing plus AI, all in one place.
Stop switching between tools. Your AI writing partner for everything—polishing proposals, crafting emails, finding the right tone.
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
77%
Authority and reliability
2.8/5
Expert rating
Real-world application tested