Sentence examples for the proof of claim from inspiring English sources

The proof of Claim 3.1 is complete.

This completes the proof of Claim 3.1.

This completes the proof of claim (a) and (b).

Finally, we will sketch the proof of claim, implies , if.

This concludes the proof of claim (i) of Proposition 4.2.

end{aligned} This completes the proof of Claim 4.1.

The proof of claims (2) and (3) is similar to that of the corresponding claims of Theorem 6 thanks to Theorem 34.

The proof of the following lemma for a cooperative map is the same as the proof of Claims 1 and 2 [21] for a competitive map, so we skip it.

The proof of the following lemma for a cooperative map is the same as the proof of Claims 1 and 2 in [21] for competitive maps, so we skip it (see Figure 1).

This completes the proof of the claim.

This completes the proof of our claim.