## Subbundles and Cosubbundles

Hello,

I have a question about subbundles of tangent bundles. If i have a subbundle E of TM and a local frame $X_1,..,X_n$ of TM ,s.t. $X_1,..,X_{n-q}$ is a local frame of E.

Is it right, that the dual frame $w_1,...,w_n$ of TM* has the property that $w_1,....,w_{n-q}$ forms a frame for E*?

Thank you.