Sentence examples for the proof of which from inspiring English sources

He has won many awards for the products he makes, the proof of which hang proudly from the walls.

Instead, the play sets up the film as a metaphor and claims that the public version is doctored, the proof of which is in the unlikely possession of a widow in suburban New Jersey who has two troubled grown children.

Instead, the play purports that the film shown so often in public is a doctored version, the proof of which is in the unlikely possession of a 50-something woman living alone in suburban New Jersey.

Even Dr Haken, who had solved the knot problem finding an algorithm to determine whether a heap of tangled rope could be untangled or had to be cut, the proof of which took three years to write up—announced in 1972 that he was abandoning the map problem.

The main result of this paper is the following result, the proof of which seems nontrivial.

The proof of which is a mild modification of the proofs in [5, 9].

The proofs of which are so numerous that but a handful of any of them cuts out the bewitching tongues of the Munafiqeen (hypocrites).

We have the following lemmas, the proofs of which are straightforward, hence we omit the details.

We then have the following lemmas, the proofs of which can be found in [17].

The main results of this paper are as follows, the proofs of which are given in Section 3.

Then we give two anisotropic interpolation theorems of Musielak-Orlicz type, the proofs of which are given in Section 3.