Sentence examples for assumed proof from inspiring English sources

The phrase "assumed proof" is correct and usable in written English.
It can be used in contexts related to logic, mathematics, or argumentation where a proof is taken for granted without being explicitly demonstrated.
Example: "In this theorem, we will start with an assumed proof of the initial conditions to simplify our analysis."
Alternatives: "presumed proof" or "accepted proof".

Exact(1)

Although assumed, proof of the direct emergence of epithelial CSCs from an NSC population is not available, and the identity of the cells that acquire the molecular lesions initiating chemical carcinogenesis remains undefined (Perez-Losada and Balmain 2003).

Similar(59)

Assuming proofs are returned quickly, the article should be published online (the official version) within 3-5 weeks.

This reasoning is also petitio principii (a proposition which requires proof is assumed without proof).

many opinions of this Court indicate that it has long been assumed that proof of a criminal charge beyond a reasonable doubt is constitutionally required.

In higher branches of mathematics, such as analysis and linear algebra the commutativity of well-known operations (such as addition and multiplication on real and complex numbers) is often used (or implicitly assumed) in proofs.

May it logically be said that Joe Bennight's relationship with Cathy Bennight was harmed in this instance but Jennifer's relationship with the same person was not, assuming the proof showed a normal family relationship?

Furthermore, and assuming the proof tree can be brought to completion, branches eventually end up with atoms and the presence of axioms can be quickly determined.

But unless and until it can be proven that an unborn child is not a living human being, can we justify assuming without proof that it isn't?

Or perhaps they assume without proof that most of the latter have been co-opted into organismal roles: in any case they do not even implicitly engage with MLS theory.

(Indeed, Condorcet's original proof assumed homogeneity).

Under such circumstances it is a higher order effect (the interaction) that is assumed zero until proof to the contrary is available.

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