the proof is now complete

USAGE SUMMARY

The phrase "the proof is now complete" is correct and usable in written English.
It can be used in academic or formal contexts, particularly when concluding a mathematical or logical argument. Example: "After presenting all necessary steps and justifications, I can confidently state that the proof is now complete."

✓ Grammatically correct

Science

News & Media

Wiki

Human-verified examples from authoritative sources

Exact Expressions

5 human-written examples

This means T is monotone and the proof is now complete.

Journal of Inequalities and Applications

(2.21) Since the Hilbert space (H^{1}) is dense in (L_{2}^[0,L]), the proof is now complete.

Advances in Difference Equations

Since there are infinitely many solutions which satisfy (26) with the choice of m taken with (27), the proof is now complete.

Boundary Value Problems

The curve (partial Omega) does not have an inflection point at (z_0) when the quadratic term in the Taylor expansion of (gamma (t)) is non-zero, that is begin{aligned} mathrm{Re}bigg ( e^{pm ipi /4} frac{(log f)"' z_0)}{(log f)"(z_0)^{3/2}}bigg )ne 0. end{aligned}The proof is now complete.

Complex Analysis and its Synergies

So U ( t ) > 0 on t ∈ [ t 1, ∞ ) T and consequently, ( z ( t ) t ) Δ = t z Δ ( t ) − z ( t ) t σ ( t ) = − U ( t ) t σ ( t ) < 0, t ∈ [ t 1, ∞ ) T, and we find that z ( t ) / t is strictly decreasing on t ∈ [ t 1, ∞ ) T. The proof is now complete. □. In this section we give some new oscillation criteria for (1). Theorem 3.1 Assume that (2), (5), and (10) hold.

Advances in Difference Equations

Human-verified similar examples from authoritative sources

Similar Expressions

55 human-written examples

The proof is now completed.

Bulletin of Mathematical Sciences

Thus the proof is now completed.

Advances in Difference Equations

The proof is now completed by applying Lemma 2.5.

Journal of Inequalities and Applications

Therefore it is also the case that f : F δ ( g ) → F δ ( g ), and thus f i ∘ g j ( p ) = g ∘ f i ∘ g j − 1 ( p ) for all i, j ≥ 0. The proof is now completed as in the first proof.

Fixed Point Theory and Applications

The proof is now finished.

Advances in Difference Equations

The proof is now clear, though.

Huffington Post

Expert writing Tips

Best practice

Ensure that all steps of the proof have been explicitly shown before stating "the proof is now complete" to maintain credibility.

Common error

Avoid using "the proof is now complete" if there are still unresolved elements or assumptions in your argument. Prematurely declaring the proof complete can undermine your analysis.

Linguistic Context

The phrase "the proof is now complete" serves as a declarative statement, typically used to formally announce the end of a demonstration. Ludwig AI indicates that it is a valid phrase used in academic or formal context.

Expression frequency: Rare

Frequent in

Science

80%

News & Media

10%

Wiki

10%

Less common in

Formal & Business

0%

Encyclopedias

0%

Social Media

0%

Ludwig's WRAP-UP

In summary, "the proof is now complete" is a declarative phrase used to signal the conclusion of a logical argument or mathematical demonstration. As Ludwig AI confirms, it is grammatically correct and most frequently found in scientific and academic contexts. While alternatives like "the demonstration is now complete" or "the argument is now concluded" exist, "the proof is now complete" clearly indicates the successful completion of a rigorous verification process. Remember to use this phrase judiciously and ensure that all steps in the proof have been explicitly shown before making this statement.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

the demonstration is now complete

Replaces "proof" with "demonstration", implying a more visual or practical conclusion.

the argument is now concluded

Substitutes "proof" with "argument" and "complete" with "concluded", focusing on the end of a reasoning process.

the theorem is now proven

Replaces "proof" with "theorem" and "complete" with "proven", appropriate in mathematical contexts.

the evidence is conclusive

Shifts the focus to the strength of the evidence rather than the completion of a proof.

the case is now closed

Implies a final decision or resolution, often used in legal or investigative contexts.

the analysis is finalized

Focuses on the completion of an analytical process.

the investigation is over

Suggests the termination of an investigative procedure.

we have reached a conclusion

Indicates the attainment of a final judgment or understanding.

the task is accomplished

Highlights the successful completion of a specific task or objective.

the matter is settled

Implies that a dispute or issue has been resolved.

FAQs

How can I use "the proof is now complete" in a sentence?

You can use "the proof is now complete" at the end of a mathematical or logical argument to signal that the demonstration has been successfully concluded. For example, 'After demonstrating all the necessary steps, "the proof is now complete"'.

What are some alternatives to "the proof is now complete"?

Some alternatives include "the demonstration is now complete", "the argument is now concluded", or "the theorem is now proven" depending on the context.

Is it appropriate to use "the proof is now complete" in formal writing?

Yes, "the proof is now complete" is appropriate in formal writing, especially in academic or scientific contexts where logical arguments are presented.

What does "the proof is now complete" imply?

"The proof is now complete" indicates that all necessary steps and justifications have been provided to establish the truth of a statement or theorem.