Sentence examples for implication of the proof from inspiring English sources

An implication of the proof of Lemma 1 is that the change of coordinates from (T^{-1}) to the normal form T̃ flips the horizontal axis about the origin, and maps (locally) each vertical semi-axis into itself (see Corollary 1).

Carefully consider the implications of the proof above; are there any problems with it?

This is a clear instance of the clause for implication in the Proof Interpretation.

Now we prove the converse implication to finish the proof.

The paradox of the proof Caroline Chen | Project Wordsworth | 10 May 2013.

Sketch of the proof: The proof is essentially identical to the proofs of Propositions 4.1 and 4.4.

See Methods for sketch of the proof.

Offer them some of the proof candy.

Most of all, he is at pains to present the implications of Gödel's proof for theories of the human mind (and of artificial intellects).

This workshop will consider the implications of combining proofs and consensus.

Many clips of well-known debate shows such as Crossfire and Larry King Live are shown, with participants discussing the implications of the message, asking whether it is proof of the existence of alien life or of God, and whether science is encroaching upon religious ground by, as one believer puts it, "talking to your god for you".