Full employment and proof of their ability had given the new generation greater self-confidence.

This proof does not give a simple procedure for determining whether a set is Borel.

Soon afterwards gave a substantially simpler proof, proving a more powerful result.

If these results are not carefully established in advance, the proof may give rise to circular reasoning.

Even if they are already certain, some proof could give them bargaining power in a divorce or custody settlement, they may reason.

A constructive proof of the theorem would give an actual example, such as:

An elementary proof of the theorem is given below, taken from and .

What proof could Densholm give that he had been on the telephone when her uncle died?

A proof gives a reason why a rule in mathematics is correct.

It means that no proof has been giving about anyone wiping the floor with anything.