a strict proof of

USAGE SUMMARY

The phrase "a strict proof of" is correct and usable in written English.
It can be used when discussing the need for a definitive or rigorous demonstration of a claim or theory. Example: "The mathematician provided a strict proof of the theorem, leaving no room for doubt."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

7 human-written examples

We will give a strict proof of Theorem 1.1 in this section.

Advances in Difference Equations

We give a strict proof of the local stability in this section.

Advances in Difference Equations

In this paper, corresponding to a May cooperative system, we give a strict proof of an affirmative answer which is without any conditions.

Advances in Difference Equations

Although references [27, 28] proposed a SEIR model with hesitating mechanism, neither could serve as a strict proof of globally asymptotically stability of rumor-free equilibrium and the permanence of the rumor.

Advances in Difference Equations

Yuste and Acedo [14] developed an explicit scheme and gave a strict proof of the stability of the explicit scheme, and then Yuste [15] analyzed the weighted average finite difference scheme by the von Neumann method.

Boundary Value Problems

For five analytes, lysine, phosphorus, potassium, vitamin B6 and vitamin E, equivalence was more likely than not, but a strict proof of equivalence cannot be given.

BMC Biotechnology

Human-verified similar examples from authoritative sources

Similar Expressions

53 human-written examples

Then, a strict proof is presented for a necessary and sufficient condition on the existence of a unique optimal positive definite solution to this equation.

Acta Automatica Sinica

In this paper, we will get the strict proof of analysis of a kind of extension of Young inequality with the approximation method.

Journal of Inequalities and Applications

Strict proof of identity may not be needed for some customers, given the small sums involved.

The Economist

"Maternity leave or any other leave of absence often prevents a person from obtaining a mortgage," said John Councilman, president of AMC Mortgage in Fallston, Md ."There are some who long for the days when such strict proof of income was not required".

The New York Times

But until now, we have not found its strict proof of analysis.

Journal of Inequalities and Applications

Expert writing Tips

Best practice

When employing the phrase "a strict proof of", ensure that the evidence presented is not only accurate but also adheres to the highest standards of logical rigor and validity.

Common error

Avoid using "a strict proof of" when the evidence is merely suggestive or preliminary. Ensure that the demonstration meets established criteria for soundness and completeness before claiming a strict proof.

Linguistic Context

The phrase "a strict proof of" functions as a noun phrase, typically acting as the object of a verb. It signifies the existence or provision of a demonstration that adheres to rigorous standards of logical validity and completeness. This means there is evidence of something being definitively proven.

Expression frequency: Uncommon

Frequent in

Science

60%

News & Media

20%

Encyclopedias

20%

Less common in

Wiki

0%

Formal & Business

0%

Social Media

0%

Ludwig's WRAP-UP

In summary, the phrase "a strict proof of" is a noun phrase used to describe a rigorous and conclusive demonstration of a claim or statement. According to Ludwig, it is grammatically correct and most commonly found in scientific, news, and encyclopedia contexts, reflecting its formal tone. When using this phrase, ensure that the evidence presented is accurate, logically sound, and meets high standards of validity. Some alternatives include "a rigorous proof of", "a definitive proof of", and "a formal proof of", each offering slight nuances in meaning while maintaining the core concept of a rigorous demonstration.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a rigorous proof of

Replaces "strict" with "rigorous", emphasizing the thoroughness and exactness of the proof.

a definitive proof of

Substitutes "strict" with "definitive", highlighting the conclusive nature of the proof.

a formal proof of

Uses "formal" instead of "strict", focusing on adherence to established rules and conventions in the proof.

a conclusive demonstration of

Replaces "proof" with "demonstration", shifting from a formal proof to an act of showing or illustrating something clearly and convincingly, and replaces "strict" with "conclusive".

a stringent verification of

Changes "proof" to "verification", implying a process of confirming accuracy, and "strict" to "stringent" to maintain the sense of rigorousness.

an exacting substantiation of

Replaces both "strict" and "proof" with "exacting" and "substantiation" respectively, intensifying the demand for precision and evidence.

irrefutable evidence for

Shifts from "proof" to "evidence", changing the focus to undeniable support for a claim and using "irrefutable" to emphasize the strength of the evidence.

compelling validation of

Substitutes "proof" with "validation", indicating confirmation of correctness, and "strict" with "compelling" to stress the convincing nature of the validation.

ironclad confirmation of

Replaces "proof" with "confirmation", focusing on establishing certainty, and "strict" with "ironclad" to denote unbreakability or invulnerability.

unquestionable justification for

Replaces "proof" with "justification", shifting the emphasis to reasons that defend or vindicate something, and "strict" with "unquestionable" to indicate certainty and lack of doubt.

FAQs

How is "a strict proof of" used in academic writing?

In academic writing, "a strict proof of" is used to assert that a claim or theorem has been demonstrated rigorously and conclusively, typically involving mathematical or logical arguments. It implies that the proof leaves no room for doubt or alternative interpretations.

What are some alternatives to "a strict proof of"?

You can use alternatives like "a rigorous proof of", "a definitive proof of", or "a formal proof of" depending on the context.

When is it appropriate to use the phrase "a strict proof of"?

It is appropriate to use "a strict proof of" when you can confidently assert that a statement or claim has been rigorously demonstrated and is free from logical flaws or counterexamples. This is most common in mathematics, logic, and theoretical sciences.

What differentiates "a strict proof of" from a regular proof?

The term "a strict proof of" implies a higher standard of rigor and completeness compared to a general proof. It suggests that the demonstration adheres to the most demanding criteria of validity and leaves no possibility for ambiguity or uncertainty.