The generalized norm of the Poincaré conjecture was initiated with the extension of Henri Poincaré,s conjecture for n-dimensions. Steps have been taken thoroughly to prove the same from dimension-1 to dimension ≥5. Perelman closed the proof for dimension-3 thereby solving the millennium prize problem. Michael Freedman showed the validation in dimension-4 and Stephen Smale showed the validation in dimension ≥5. This paper would introduce a step-by-step proof taking Kan-fibration and Kan-complex being channeled from orders of Whitehead group, C-isomorphism, for any boundary manifold that implies a disjoint union among two n-dimensional manifolds for inclusion maps satisfying the vanishing torsion for a categorical correspondence on h-cobordism and Whitehead groups.