Sentence examples for end of the proof from inspiring English sources

This is the end of the proof.

That's the end of the proof.

And, that's the end of the proof.

But that is impossible and that's the end of the proof because the sum of this Xi-hat is equal to this sum.

And so, that's the end of the proof because we've checked that for this special case, when we have only an x component and a vertically simple region, things work.

End of the proof of Theorem 1.1.

We leave the description for calculating the second sum in (4) for the end of this proof.

We will prove the correctness of (26) in the end of this proof.

We ended up with a huge truck full of plant debris at the end of the day - proof of our hard work!

From now to the end of the present proof, we fix such constants ε1, ε2, ε3 and ρ.

So one is, look at the end of the day, the proof is in the pudding.