proof is completed

USAGE SUMMARY

The phrase "proof is completed" is correct and usable in written English.
You can use this phrase when you have finished reviewing and verifying a document or task. For example, "I have gone through the report and made all the necessary changes. Proof is completed."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

This proof is completed.

Journal of Inequalities and Applications

Our proof is completed.

Advances in Difference Equations

Therefore, proof is completed.

Journal of Inequalities and Applications

Thus the proof is completed.

Pacific Journal of Mathematics for Industry

Therefore, the proof is completed.

Journal of Inequalities and Applications

Also, The proof is completed.

Journal of Inequalities and Applications

Moreover, the proof is completed.

EURASIP Journal on Wireless Communications and Networking

The proof is completed now.

Journal of Inequalities and Applications

So, the proof is completed.

Journal of Inequalities and Applications

Then the proof is completed.

Pacific Journal of Mathematics for Industry

The uniqueness proof is completed.

Advances in Difference Equations

Expert writing Tips

Best practice

When writing for a general audience, consider alternatives such as "the proof is done" or "the proof is finished" for enhanced clarity.

Common error

Avoid using "proof is completed" in casual conversation or informal writing, as it may sound overly formal or stilted. Opt for simpler alternatives.

Linguistic Context

The phrase "proof is completed" primarily functions as a declarative statement indicating the conclusion of a mathematical or logical demonstration. Ludwig examples showcase this function in various scientific contexts.

Expression frequency: Very common

Frequent in

Science

98%

Formal & Business

1%

News & Media

1%

Less common in

Academia

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, the phrase "proof is completed" is a grammatically correct and frequently used expression, particularly within formal and scientific writing, to denote the conclusion of a logical or mathematical argument. Ludwig AI confirms its correctness and prevalent use in academic contexts. While suitable for formal settings, consider alternative expressions such as "proof is finished" in more casual scenarios. Its primary function is to declare the successful culmination of a demonstration, predominantly in scientific and academic domains. Several authoritative sources, including the "Journal of Inequalities and Applications", commonly employ this phrase.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

Proof is finalized

Indicates the proof has undergone final revisions and is now ready.

Proof is accomplished

Highlights the successful completion of the proof.

Demonstration is completed

Shifts focus to the act of demonstrating something, now finished.

Validation is completed

Emphasizes the validation or verification process as being finished.

Verification is completed

Stresses the verification aspect of confirming something, now done.

Evidence is completed

Emphasizes the gathering and presentation of evidence, now concluded.

Testing is completed

Indicates the completion of a testing process.

Analysis is completed

Focuses on the completion of an analytical process.

Documentation is completed

Highlights the completion of documenting something.

The case is closed

Implies the end of an investigation or argument, not necessarily a mathematical proof.

FAQs

What does "proof is completed" mean in mathematics?

In mathematics, "proof is completed" signifies that a logical argument has successfully demonstrated the truth of a statement or theorem according to established axioms and rules of inference.

What can I say instead of "proof is completed"?

You can use alternatives like "proof is finalized", "proof is accomplished", or "proof is finished" depending on the context.

Is "proof is completed" formal?

Yes, "proof is completed" leans toward formal usage, typically found in academic or scientific papers. Less formal alternatives include "the proof is done" or "the proof is over".

How to use "proof is completed" in a sentence?

Example: "After rigorously verifying each step, the "proof is completed", thereby validating the theorem." Ensure it's used in contexts where a formal demonstration has been concluded.