Extending proof nets to include a treatment of the additive connectives has various technical presentations, none of which appears canonical and satisfactory.
This result was originally obtained by Broyden in [9] in a different way for Algorithm 3, but we extended the proof of Galantai [12] for Algorithm 1.
Irvine's Impac Mortgage, a publicly traded nonbank lender, nearly went bust during the housing crisis because it specialized in Alt-A mortgages, loans extended without proof of income or assets.
Phase IV finally extended the proof of concept to the multicentre level by achieving certification and recertification of numerous other breast centres in Germany, the total number of DKG/DGS-certified breast centres reaching 175 by mid 2008.
Extending our proof-of concept study on 26 patients with acute tubulointerstitial rejection [ 10], we started out to refine and standardize the sample processing and analysis [ 13].
33 We sought to corroborate and extend our proof-of-pathogenesis studies of the p.G367D mutation by evaluating the effects of in vivo loss of function of the Drosophila adducin homolog (hts/Df, an hts hypomorph).
Proof Directly extend the proof of Theorem 2 and Corollary 1. □ Directly extend the proof of Theorem 2 and Corollary 1. □ The solution to the identification problem in Figure 2 when q ≥ 2, G2 → Y2(t ), t=0,…, q, and dim(G2) ≥ q involves an unusual use of IV.
Proofs of parts (i) and (ii) come from extending the proof of Kim et al. (2006), which shows (ii) is true in the special case where ; that of part (iii) comes from applying Theorem 2 of Robins and Wang (2000).
The idea of the proof follows to a certain extend the proof of Theorem 5.1 in [2].
In particular, Kuroda [398, 399] was able to extend the proof of Theorem 15.1 to (alpha > 1).
