TNF and Alzheimer disease: S‐HFpEF patients with recent ADHF admissions tended to have higher levels of pro‐inflammatory biomarkers than S‐HFpEF patients without recent admissions and, with the exception of TNF‐α, levels of pro‐inflammatory biomarkers were significantly higher in AD‐HFpEF patients than S‐HFpEF patients with recent ADHF admissions.