Sentence examples for above proposition from inspiring English sources

Since the proof of the above proposition is very similar to that of Proposition 6, we present just an outline of it.

It is also very useful to prove the above proposition.

What does the above proposition mean?

From the above proposition, one directly gets the following assertion.

Proof of the above Proposition can be found in Appendix.

From the above Proposition 2.4, we get the following results.

The above proposition is a try in this direction.

Therefore a signature can be forged from the above proposition.

So the result follows from the above proposition.

From the above proposition, we can derive some interesting results.

All cases are hence given in the above proposition.