In this article, we give a very short proof (Theorem 3.4) that, under the hypotheses of the initial conditions of the millennium problem about the Navier-Stokes equations, there cannot be shaped in finite time, velocities blow-ups to infinite (singularities). We utilize the existing CKN theory of possible blow-ups, in particular, type I and type II, and we prove by reduction to contradiction that neither of the two types of blow-ups can appear in finite time blow-ups because this would mean that a blow-up or singularity will happen in a 3D region too. The proof is based on the non-compressible of the fluid, which implies that the 1D integrals on paths of the pressure forces is path-independent (conservative vector field) and that the initial energy is finite. ​