Sentence examples for proofs had from inspiring English sources

Unfortunately, Gödel's work (Gödel 1938) remained unpublished until 1995, by which time the Gödelian logic of explicit proofs had already been rediscovered, and axiomatized as the Logic of Proofs \(\mathsf{LP}\) and supplied with completeness theorems connecting it to both \(\mathsf{S4}\) and classical proofs (Artemov 1995).

The page proofs had been read by 19 August.

The proofs had no credit line identifying Longo as the photographer.

Ms. Roux said the proofs had not been exhibited since the historical society acquired them.

By high school, however, her affinity for solving mathematical problems and working on proofs had shifted her sights.

Several of the researchers said that until now such proofs had been hashed out in colloquiums that required participants to be physically present at an appointed time.

Galley proofs have been available.

As such, transformational proofs have three defining characteristics.

Similar results and proofs have already been published [1].

Different proofs have appeared in unpublished papers, also.

Appendix B: Supporting lemmas and proofs has derivations of moments as well as all proofs.