$\forall$${\it Pgm}$, ${\it Sem}$:Type, ${\it equiv}$:(${\it Sem}$$\rightarrow$${\it Sem}$$\rightarrow\mathbb{P}$), $S$:(${\it Pgm}$$\rightarrow$${\it Sem}$), $X$:(${\it Sem}$$\rightarrow\mathbb{P}$), ${\it kpr}$:(${\it Sem}$$\rightarrow$${\it Pgm}$). ${\it kpr}$ $\vDash$ $X$ $\in$ $\mathbb{P}$