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The version of the impossibility just proved requires nevertheless many other assumptions, from closure under expansions and revisions to consistency.
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Mechanical testing proved required high ultimate strength and yield stress and ductility.
The offence, which is complex to prove, requires 12 people or more to be engaged in a common purpose.
The district attorney, Charles J. Hynes, acknowledged that manslaughter charges in construction cases were hard to prove, requiring that prosecutors show that the defendant could have foreseen the danger and continued anyway.
As the many talented performers who have fallen on various awards show stages over the years proved, hosting requires a specific and rarefied skill set.
Previous functional verifications of system software were all based on interactive theorem proving, requiring substantial human effort complemented by expert proven knowledge.
Perjury is hard to prove: it requires the prosecution to demonstrate that the defendant not only lied, but did so knowingly.
As philanthropy constantly searches for optimal impact, tech nonprofits would be non-starters, stuck in a loop: proving impact requires a product, building a product requires money, money requires proving impact, which requires a product.
Under the law, proving fraud requires the S.E.C. to either show what was on the executives' minds or at least establish they were reckless.
The aircraft made its first flight in September 1946, but proved to require extensive modifications to meet the Soviet Air Forces' requirements.
Notching out the beast's ears proved to require a delicate touch I haven't yet mastered: one is freakishly larger than the other.
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