Stemming from the Pythagorean Identity ${\sin }^{2}z+{\cos }^{2}z=1$ and Hörmander's $L^2$-solution of the Cauchy-Riemann's equation $\overline{\mathrm{\partial }}u=f$ on $\mathbb{C}$, this article demonstrates a corona-type principle which exists as a somewhat unexpected extension of the analytic Hilbert's Nullstellensatz on $\mathbb{C}$ to the quadratic Fock-Sobolev spaces on $\mathbb{C}$.