Sentence examples for a proof which from inspiring English sources

The phrase "a proof which" is correct and usable in written English.
It can be used when referring to a specific proof in a mathematical or logical context, often to introduce a description or explanation of that proof.
Example: "The mathematician presented a proof which demonstrated the validity of the theorem."
Alternatives: "a proof that" or "a proof demonstrating".

Exact(12)

"But I came across this idea of spectral evidence, the concept that a dream or a vision can be a proof, which fascinates me, and without being explicit, that has entered into my idea of the ballet".

Next, by a proof which is similar to that of Lemma 2.4 in [40], we can show that (2.12) holds.

However, to make our paper self-contained we include a proof which also guides us how to prove the other results in this section.

The other element is a strategy of searching for a proof, which determines a way the premises are selected in a reasoning process.

In this reflection, Brouwer introduced the notion of the "fully analysed" or "canonical" form of a proof, which would be adopted much later by Martin-Löf and by Dummett.

Linear particles offer a very fine-grained perception of the way pieces of information are combined in a proof (which is one of the main points of Substructural Logic).

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Similar(48)

"Germany has tabled an accusation without any proof, which is something totally illegal and in gross violation of the E.U.'s common agricultural policy".

Here, we provide our key result via a special proof which is a general case of Theorem 2.1.

In this paper, we prove the stability of the cubic functional equation in random normed spaces by an alternative proof which provides a better estimation.

A way to prove this statement is to write an indirect proof, which is basically a proof that involves indirect reasoning.

This will require a different proof, which issketched below.

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