Sentence examples for a proof can be from inspiring English sources

A proof can be found in [14, lemme 4.2.33].

This is not always straightforward as a proof can be presented in different ways.

Indeed, the remaining steps of such a proof can be carried out in CL, though the details are beyond the scope of this brief entry.

There is 'version control' so that new versions of a proof can be uploaded and reviewers can see old versions and new versions together for comparison.

Next, suppose that f and g are continuous, then a proof can be completed along the lines of the proof of Theorem 2 of [16].

That a proof can be expressed in more elementary steps is in principle very beneficial since this allows a mathematician to request a proof assistant justify its steps in terms of simpler ones.

Then, there are L square rank one matrices given as A1, A2,..., A L, such that A = A1 + A2 +... + A L and an alternative proof can be derived for such matrices.

A detailed proof can be found in[5].

A detailed proof can be found in [19].

A similar proof can be found in [15].

A beautiful proof can be found in [8].