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Let $A$ be a regular ring of dimension $d$ essentially of finite type over aninfinite field $k$ of characteristic $\neq 2$. Let $P$ be a projective$A$-module of rank $n$ with $2n\geq d+3$. Let $I$ be an ideal of $A[T]$ ofheight $n$ and $\phi:P[T]\twoheadrightarrow I/I^2$ be a surjection. If$\phi\otimes A(T)$ has a surjective lift $\theta :P[T]\otimesA(T)\twoheadrightarrow IA(T)$, then $\phi$ has a surjective lift$\Phi:P[T]\twoheadrightarrow I$.

Monic Inversion Principle and Complete intersection