Framed cobordism of framed submanifolds

Definition

Suppose $M_1$ and $M_2$ are framed submanifolds of a differential manifold $P$. A framed cobordism between $M_1$ and $M_2$ in $P$ is a framed submanifold with boundary $(N,\partial N)$ inside $P\times I$, that provides a cobordism between $M_1\times \{0\}$ and $M_2\times \{1\}$.