Sentence examples for for proofs of from inspiring English sources

13.2, for proofs of this and similar facts.

For proofs of all the Propositions, see the Appendix.

For proofs of these facts, see [7, 44].

For proofs of similar results see Ehrenfeucht and Mycieleski 1971, and Parikh 1971.

This is done by searching for proofs of X ⊢ A in a Gentzen system.

For proofs of these results, at least for the Kuratowski measure of noncompactness, see, for instance, [11] and [12].

The intermediary asked for proof-of-life questions that only Padnos could answer.

(Even voting equity, in a way, for proof-of-stake chains).

A device has been designed and tested with a drive laser for proof-of-principle demonstration.

An extensive numerical analysis has been carried out for proof-of-concept purposes.

For proof-of-concept, concentration gradients of covalently immobilized proteins were also assembled.