Sentence examples for proved as well from inspiring English sources

Some changed their minds about it when its equivalence with the well-ordering theorem was proved as well as the assertion that any two cardinal numbers c and d are comparable (i.e., that exactly one of c < d, d < c, c = d holds).

The convergence property of this algorithm is proved as well.

Global sliding phase is proved as well as the closed-loop system stability.

A monotonicity result for the Caputo-type fractional difference operator is proved as well.

The existence and uniqueness of the optimal solution is proved, as well as the convergence of the solution sequence.

Ultimate boundedness of the tracking errors is proved, as well as boundedness of the estimation error with arbitrary precision.

The players that returned in 2013 almost all had something to prove as well.

Martin, 24, the top pick in 2000, has plenty to prove as well, working out nearly every day since August.

De Gea has far greater potential than any of that trio; yet plenty to prove as well, starting tomorrow night.

It will do Mr Major's bargaining (and political) power no harm at all if his further thoughts prove, as well they may, positive enough to attract still further thought amongst our partners.

Its formation is not proven as well.