detailed proof that

USAGE SUMMARY

The phrase "detailed proof that" is correct and usable in written English.
You can use it when referring to specific evidence or arguments that support a claim or assertion in a formal or academic context. Example: "The researcher provided detailed proof that the new drug significantly improves patient outcomes."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

2 human-written examples

At the International Congress of  Mathematicians at Heidelberg, 1904, Gyula (Julius) König proposed a very detailed proof that the cardinality of the continuum cannot be any of Cantor's alephs.

SEP

Russian officials called the action an "unfriendly" provocation inspired by Western powers; the Poles said they had detailed proof that the Russians were spying.

The New York Times

Human-verified similar examples from authoritative sources

Similar Expressions

57 human-written examples

In addition, a detailed proof is given that the space time Galerkin least squares discretization together with the proposed stabilization operators satisfies a coercivity condition for the linearized form of the equations.

Computer Methods in Applied Mechanics and Engineering

The main idea of the proof is similar to that of Proposition 3.1, where the interval (I=[a,+infty)) is replaced by (I= -infty,+I= -inftyFor completeness, we now give its detailed proof. Note that the results of Propositions 4.1 and 4.2 and Theorem 4.2 in [22] still hold for every (zinrho(H_{1})caprho(tilde{H}_{1,r})).

Advances in Difference Equations

Need proof that's closer to home?

Science Magazine

In this paper we present the detailed proof of concept study that led to the development of a farmer operated not invasive pregnancy detection device.

BMC Veterinary Research

It seems clear from this passage that the only thing Darwin could have been surprised about was how quickly Wallace completed a promised "detailed proof" of the theory that did, in fact, loosely parallel Darwin's and result in the 1858 essay sent to Darwin in the spring.

Forbes

Rather, it is often only by providing an explicit, detailed proof for a result that the assumptions on which it depends become evident and, thus, its range of applicability established.

SEP

Mr. Chagnon contends that his detailed observations of Yanomami violence offer proof that human nature is inherently antagonistic.

The New York Times

The detailed proof of the second main theorem, that of the convergence of the network equations to the mean-field limit, is given in the Appendix.

The Journal of Mathematical Neuroscience

In 1931 von Neumann gave a detailed proof (of a conjecture by Stone) that the canonical commutation relations (CCRs) for position coordinates and their conjugate momentum coordinates in configuration space fix the representation of these two sets of operators in Hilbert space up to unitary equivalence (von Neumann's uniqueness theorem).

SEP

Expert writing Tips

Best practice

When using "detailed proof that", ensure the subsequent details are genuinely substantial and directly support the claim. Avoid superficial details that don't strengthen the argument.

Common error

Avoid using "detailed proof that" when the evidence is circumstantial or incomplete. Overstating the strength of the evidence can undermine your credibility.

Linguistic Context

The phrase "detailed proof that" functions as a noun phrase that introduces evidence or argumentation intended to support a claim or assertion. It signifies that the evidence is not only present but also thoroughly elaborated. As Ludwig AI confirms, this phrase is usable in written English.

Expression frequency: Rare

Frequent in

Science

60%

News & Media

30%

Formal & Business

10%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "detailed proof that" is a grammatically sound phrase used to introduce thorough and substantial evidence supporting a claim. While Ludwig AI confirms its usability, it's relatively rare in occurrence and leans towards formal contexts such as scientific and academic writing. When employing this phrase, ensure that the subsequent details genuinely strengthen your argument and avoid overstating the strength of your evidence. Consider alternatives like "thorough evidence demonstrating that" or "comprehensive substantiation confirming that" depending on the specific nuance you want to convey.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

thorough evidence demonstrating that

Replaces "proof" with "evidence" and "detailed" with "thorough", while adding "demonstrating" for emphasis on the act of proving.

comprehensive substantiation confirming that

Uses stronger words like "substantiation" and "confirming" to indicate a more rigorous validation.

exhaustive justification establishing that

Emphasizes the completeness of the justification and its role in establishing a fact.

definitive verification showing that

Highlights the finality and conclusiveness of the verification.

irrefutable validation confirming that

Focuses on the impossibility of disproving the validation.

solid argument proving that

Shifts the focus to the strength of the argument as proof.

compelling reasoning indicating that

Highlights the persuasive nature of the reasoning.

substantial confirmation suggesting that

Implies a strong degree of confirmation, but stops short of absolute certainty.

extensive documentation corroborating that

Emphasizes the breadth of documentation that supports the claim.

unequivocal demonstration revealing that

Focuses on the clarity and lack of ambiguity in the demonstration.

FAQs

How can I use "detailed proof that" in a sentence?

You can use "detailed proof that" to introduce evidence or arguments that strongly support a claim. For example, "The researcher presented "detailed proof that" the new treatment is effective."

What are some alternatives to saying "detailed proof that"?

Alternatives include "thorough evidence demonstrating that", "comprehensive substantiation confirming that", or "exhaustive justification establishing that depending on the context".

What distinguishes "detailed proof that" from "proof that"?

"Detailed proof that" implies a more thorough and elaborate presentation of evidence compared to simply "proof that". The former suggests a deeper dive into the supporting information.

Is "detailed proof that" suitable for all types of writing?

While grammatically correct, "detailed proof that" is best suited for formal or academic writing where a rigorous presentation of evidence is expected. In more casual contexts, simpler phrases like "evidence that" may be more appropriate.