However, because the production press employs not the original flat plates but curved duplicates made from them, and because ink and paper specifications are highly variable, exact duplication of production results in a proofing operation is difficult.
A flurry of activity in the remarkably leak-proof operation began on Feb. 16, when his office charged 13 Russian nationals and three Russian companies with conspiracy to interfere in the election.
To count as a finitary consistency proof, the operation itself must be acceptable from the finitist standpoint, and the proofs required must use only finitarily acceptable principles.
Semantical completeness enables the easy and enlightening movement between syntactical, proof theoretic, operations and reasoning in terms of models.
To cope, Australian industry needs to start "heat-proofing" its operations and sporting authorities need to rethink when and for how long competitions are played outside, says Elizabeth Hanna, president of health sector organisation, the Climate and Heath Alliance, and a researcher at the Australian National University.
Surgeons may attempt risky operations on patients if they have maximally solid proof that the operation is indicated.
Mr Poroshenko optimistically called the operation proof that the West is now ready to help defend Ukraine.
The arrests are also, the source claimed, proof that the operation is flourishing despite being under considerable pressure.
To the intervention's champions, this is no doubt regarded as proof of the operation's great success: We toppled a tyrant, assisted our European allies, and squandered neither American lives nor domestic political capital in the process.
But until now, Dr. Walsh said, doctors could offer no proof that the operation affected the course of the cancer, because it can progress so quickly -- or slowly -- that surgery might be useless.
What is required for a consistency proof is an operation which, given a formal derivation, transforms such a derivation into one of a special form, plus proofs that the operation in fact does this and that proofs of the special kind cannot be proofs of an inconsistency.
