Sentence examples for proving the lemma from inspiring English sources

a contradiction proving the lemma.

Frege can establish Theorem 5 by proving the Lemma on Successors and by showing that the successor of a natural number is itself a natural number.

We start with proving the lemma for later use in this section.

Notice also that ( log n ( m ) ) 1 − p < ( 2 log m ) 1 − p. So by the Borel-Cantelli lemma and the second statement of Lemma 2.2, we have ∑ m = n 0 ∞ P ( | μ n ( m ) ( 2 ) | > ε ) < ∞, proving the lemma.

Therefore, we have the recursion proving the lemma.

Szemerédi proved the lemma in a restricted form at first and then generally in 1978.

which proves the lemma.

This proves the lemma completely.

So we prove the lemma.

Thus, we proved the lemma.

We have thus proved the lemma.