corollary from

USAGE SUMMARY

The phrase "corollary from" is correct and usable in written English.
It is typically used in academic or formal contexts to indicate a conclusion or result that logically follows from a previously established statement or principle. Example: "The corollary from this theorem is that all angles in a triangle sum up to 180 degrees."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

37 human-written examples

Finally, a dizzy-making corollary from the other side of the tracks: "Palaces" ($3.99, marked down from $39.95 ), a custom-published book, presents rooms designed by Perla Lichi, a South Florida decorator who frequently works in Dubai and has a client base of "V.I.P. Emirati," as her publicist put it, as well as royalty and professional athletes.

The New York Times

Then we get the following corollary from Theorem 2.2.

Boundary Value Problems

We first deduce the following corollary from Theorem 3.4.

Fixed Point Theory and Applications

First, we derive the following corollary from Theorem 3.5.

Fixed Point Theory and Applications

We can give the following corollary from Corollary 5.

Journal of Inequalities and Applications

Now we give two theorems and a corollary from [2].

Journal of Inequalities and Applications

Human-verified similar examples from authoritative sources

Similar Expressions

23 human-written examples

Some other corollaries from the problem-equation inversion invariance are given.

Journal of Sound and Vibration

Furthermore, we also have the following corollaries from Theorem 4.2.

Fixed Point Theory and Applications

We can obtain the following corollaries from our main theorem.

Mathematical Sciences

We also derive some corollaries from our theorems.

Journal of Inequalities and Applications

Hence, we can obtain the following two corollaries from Corollaries 2.1 and 2.2.

Journal of Inequalities and Applications

Expert writing Tips

Best practice

Use "corollary from" in formal writing, particularly when discussing mathematical theorems, scientific findings, or logical arguments. It is less appropriate in informal contexts.

Common error

Avoid using "corollary from" when the connection between the original statement and the conclusion is weak or unclear. A corollary should be a direct and obvious consequence, not a tangential observation.

Linguistic Context

The phrase "corollary from" functions as a prepositional phrase that introduces a direct consequence or logical extension of a preceding statement, theorem, or principle. Ludwig confirms its correctness and usability in written English.

Expression frequency: Uncommon

Frequent in

Science

80%

News & Media

10%

Formal & Business

10%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "corollary from" is a formal construction used to indicate that a statement or conclusion follows logically and directly from a preceding statement or theorem. Ludwig confirms its correct usage. It's most commonly found in scientific and academic writing, where it serves to establish a clear chain of reasoning. When using this phrase, ensure that the connection between the original statement and the corollary is unambiguous. While grammatically sound, it's less appropriate in informal contexts. Alternatives like "follows from" or "is a consequence of" can be used to express a similar meaning.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

follows from

Focuses on the logical sequence or derivation.

is a logical consequence of

Explicitly states the logical relationship.

is deduced from

Focuses on the logical inference or deduction.

is a consequence of

Emphasizes the result as a direct outcome.

is inferred from

Highlights the act of drawing a conclusion based on evidence.

results from

Highlights the origin or cause leading to the result.

is a direct result of

Stresses the immediacy and straightforwardness of the connection.

derives from

Suggests a more complex or indirect origin.

arises from

Emphasizes the emergence or origination.

stems from

Implies an origin that is a root or source.

FAQs

How is "corollary from" typically used in academic writing?

In academic writing, "corollary from" is used to introduce a proposition that follows easily and directly from a previously proven theorem or established fact. It indicates a logical consequence that requires little or no additional proof.

What are some alternatives to "corollary from" that I can use in my writing?

You can use alternatives like "follows from", "is a consequence of", or "results from" to express a similar relationship of consequence or derivation.

Is "corollary from" suitable for informal writing?

While grammatically correct, "corollary from" is more suited to formal or academic writing. In informal contexts, simpler phrases like "because of that" or "as a result" may be more appropriate.

How does "corollary from" differ from "based on"?

"Corollary from" indicates a direct logical consequence, whereas "based on" implies a foundation or starting point. A statement might be based on data or evidence, but a corollary is a deduction that logically stems from a proven statement.