therefore the proof

USAGE SUMMARY

The phrase "therefore the proof" is correct and usable in written English.
It can be used when concluding an argument or reasoning, indicating that what follows is a demonstration or evidence supporting a previous statement. Example: "We have established that the hypothesis is valid; therefore the proof will be presented in the following section."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

59 human-written examples

Therefore, the proof of Lemma 3.4 is completed.

Journal of Inequalities and Applications

Therefore the proof is finished.

Journal of Inequalities and Applications

Therefore, the proof is completed.

Journal of Inequalities and Applications

Therefore, the proof is omitted.

Advances in Difference Equations

Therefore, the proof of (3.13) is completed.

Journal of Inequalities and Applications

(3.61) Therefore, the proof is completed.

Journal of Inequalities and Applications

Therefore, the proof follows from Theorem 1.

Fixed Point Theory and Applications

Therefore the proof of Theorem 1.1 follows.

Boundary Value Problems

end{aligned} Therefore, the proof is completed.

Journal of Inequalities and Applications

Therefore, the proof has been completed.

Journal of Inequalities and Applications

Human-verified similar examples from authoritative sources

Similar Expressions

1 human-written examples

Therefore, the proof is concluded.

EURASIP Journal on Advances in Signal Processing

Expert writing Tips

Best practice

Use "therefore the proof" to clearly signal the conclusion of a logical argument, especially in academic or scientific writing. This phrase is a strong indicator that what follows is the direct result of the preceding reasoning.

Common error

Avoid using "therefore the proof" in informal or casual writing, as it can sound overly formal and stilted. Opt for simpler alternatives like "so the evidence" or "thus it's proven" in less formal settings.

Linguistic Context

The phrase "therefore the proof" functions as a conjunctive adverbial phrase, signaling a logical consequence or conclusion. It introduces the final, demonstrative part of an argument, confirming what has been previously stated. As Ludwig AI tells us, the phrase is correct and usable in written English.

Expression frequency: Very common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

The phrase "therefore the proof" is a grammatically correct and frequently used expression, predominantly in formal and scientific writing. It serves as a conjunctive adverbial phrase to signal a logical conclusion or confirmation, indicating that what follows is the definitive demonstration of a previously stated claim. Ludwig AI confirms its correct usage in written English.

While highly effective in academic and scientific contexts due to its clarity and precision, it should be used sparingly in more informal settings to avoid sounding overly stilted. As such, consider related alternatives like "hence the demonstration" or "thus the evidence" in less formal communications.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

hence the demonstration

Emphasizes the act of showing or proving something, rather than the completed proof itself.

thus the evidence

Focuses on the evidence presented as a consequence of prior statements.

consequently, the justification

Highlights the logical link to support an argument.

it follows that the verification

Implies a step-by-step progression leading to a confirmed result.

accordingly, the validation

Indicates agreement or conformity, suggesting the confirmation is appropriate.

in consequence, the confirmation

Highlights the result being a direct effect or outcome.

wherefore the validation

A more formal way of indicating the reason for a validation.

subsequently, the verification

Focuses on something that happens or exists after something else

ergo the confirmation

Classical and more formal expression to highlight the result being a logical consequence.

that's why the demonstration

Emphasizes the act of showing or proving something, expressing a casual explanation of why a demonstration is necessary.

FAQs

How can I use "therefore the proof" in a sentence?

Use "therefore the proof" to introduce the conclusive part of an argument. For example: "We have shown that the conditions are met; therefore the proof is now complete."

What phrases are similar to "therefore the proof"?

Alternatives include "hence the demonstration", "thus the evidence", or "consequently the justification", which offer similar logical transitions.

Is "therefore the proof" suitable for all types of writing?

While grammatically correct, "therefore the proof" is best suited for formal writing, especially in scientific or academic contexts. Simpler phrases may be more appropriate for informal communication.

What makes "therefore the proof" effective in academic writing?

Its direct and explicit nature. By using "therefore the proof", you provide a transparent connection, guiding the reader from the premise to the conclusion.