Sentence examples for the proof begins from inspiring English sources

The proof begins with the crucial lemma.

The proof begins from another disjunctive proposition inspired by Anselm's Proslogion.

Thus the proof begins with the concept and reality of existence and of God and ends with it.

Then we obtain p = G p, p = W n p and J r n p = p for all n ≥ 0. By using Lemma 4.2 and the same argument as in the proof beginning of the proof of Theorem 4.1, we have { x n }, { y n }, { G x n }, { G y n }, { f ( y n ) } are bounded sequences.

The 1991 Australian film "Proof" begins with a series of photographs that are sensual shards, pictures that reveal only pieces of a world and convey a desperation that the rest of the film sets out to explore with economy, intelligence and humor.

"I never expected to have a play on Broadway," said Mr. Auburn, whose "Proof" began Off Broadway at the nonprofit Manhattan Theater Club.

As the law became firmly established, however, its strict rules of proof began to cause hardship.

We sketch the proof here, beginning with runtime.

The proof, which Hales began working on last year, builds on his earlier work showing that equal-volume bubbles in a wet foam will form a regular lattice.

Proof Begin by selecting the number η 1 such that η 1 ∫ 0 1 γ ∗ G ( 1, q s ) a ( s ) d q s > 1. (3.6).

Choosing δ < 0 at the <span class="lh lhl">beginning of the proof, we get the existence result provided that (5) and (6) hold.