The phrase "and proof for" is not correct in standard written English.
It may be intended to indicate a need for evidence or verification, but it lacks clarity and proper grammatical structure.
Example: "The study presents findings and proof for the effectiveness of the new treatment."
Alternatives: "and evidence for" or "and verification of".
It is a source of deep satisfaction that his mother completed reading his book, and proof for him that he has achieved the accessibility he clearly craves.
We can simplify this definition by observing that all three cited areas are types of being: objective reality obviously is, but so is knowledge, and so also are meaning, consciousness, value and proof, for example.
The great thing about Lumos Labs and what they're doing with Lumosity is that they have scientific studies and proof for you to read about so you don't feel like they're just taking your money.
In this note, we demonstrate that the author (a) ignored the consistency of the definition to straight edges, and also (b) did not give a perfect scheme and proof for the shape preserving subdivision.
The Mint sold the silver sets, in both uncirculated and proof, for more than a decade before ending sales at the end of 1986.
Although SFGR have been reported in Southeast Asia and proof for their presence in Indonesia is accumulating (2, 12 ), these rickettsia were not identified as a cause of AUF in the present study.
I had just started eighth grade in my all-girls school, and we were introduced to geometry and, in particular, to theorems and proofs for the first time.
Data were entered into an Excel (Microsoft Office 2011) database and proofed for entry errors.
We were not able to find these corrected statements and proofs for a bifurcation from infinity anywhere in the literature.
The caries-preventive benefits of fluoride are well-known established and proofed for decades [ 3].
In preparation for analyses, data were entered into an Excel spreadsheet and proofed for data-entry errors.
