Indeed this can be strengthened to establish that if \(X \rightarrow X'\) is provable, and \(X\) has a positive designated subformula occurrence in \(F\), while \(F'\) replaces that occurrence with \(X'\), then \(F \rightarrow F '\) is provable.
The histological results indicated that 13 individuals (including that with a positive DRE outcome) were prostate cancer positive (designated hereinafter "CAP"), and 22 were found to be negative for prostate cancer by the biopsy procedure [designated hereinafter "BN" (biopsy negative)].
Also hierarchical clustering analysis of the 329 basal-like cancers revealed the earlier defined PAMR1high, GRPhigh, UBDlow ('nuclear CSPP1 positive' designated as Basal_3) and PAMR1low, GRPlow, UBDhigh ('nuclear CSPP1 negative', Basal_1) subgroups, but apart from these a third cluster group characterised by PAMR1low, GRPlow, UBDlow expression was evident (designated as Basal_2).
We identified three positives (designated SRF2, LAB20 and LAB25) as being highly active against both substrates.
HER2-positive tumors are ER-positive (designated luminal B-like, HER2-overexpressing) or ER-negative (designated non-luminal, HER2-enriched) [ 37].
The sequences obtained in this study were assembled and submitted to GenBank under the accession number KC962433.> The PCR results confirmed that one of five samples was TGEV-positive, designated TGEV-HX; the other four samples were TGEV-negative and all five samples were PEDV-negative.
A second targeting knockdown was designed as a positive control, designated 'control-KD', and targeted IKBKB [NCBI accession number: NM_001099935].
A gram positive bacterium (designated strain SRKP-3) that potentially accumulated polyhydroxyalkanoates (PHAs) was isolated from brackish water.
One of the positive clones designated as pSJC88 with insert size of ~41 Kb was selected for sequencing and further characterization.
Supernatants after centrifugation were used as a positive control (designated Cell lysate in Fig. 4E and 4D).
