Is there a name for this sort of thermo relationship?

${H}_{vap\phantom{\rule{thickmathspace}{0ex}}/\phantom{\rule{thickmathspace}{0ex}}sub\phantom{\rule{thickmathspace}{0ex}}/\phantom{\rule{thickmathspace}{0ex}}cond}({T}^{\prime})-{H}_{vap\phantom{\rule{thickmathspace}{0ex}}/\phantom{\rule{thickmathspace}{0ex}}sub\phantom{\rule{thickmathspace}{0ex}}/\phantom{\rule{thickmathspace}{0ex}}cond}(T)={\int}_{T}^{{T}^{\prime}}\mathrm{\Delta}{C}_{p,m}\phantom{\rule{thickmathspace}{0ex}}dT$

${H}_{vap\phantom{\rule{thickmathspace}{0ex}}/\phantom{\rule{thickmathspace}{0ex}}sub\phantom{\rule{thickmathspace}{0ex}}/\phantom{\rule{thickmathspace}{0ex}}cond}({T}^{\prime})-{H}_{vap\phantom{\rule{thickmathspace}{0ex}}/\phantom{\rule{thickmathspace}{0ex}}sub\phantom{\rule{thickmathspace}{0ex}}/\phantom{\rule{thickmathspace}{0ex}}cond}(T)={\int}_{T}^{{T}^{\prime}}\mathrm{\Delta}{C}_{p,m}\phantom{\rule{thickmathspace}{0ex}}dT$