The algorithm for inverting covariant exterior derivative understood as a sum
of the exterior derivative and an exterior multiplication by a one-form is
provided. It works for a sufficiently small star-shaped region of a fibered set
– a local version of a fiber manifold. The relation to operational calculus and
operator theory is outlined. The upshot of this paper is to show that, using
the linear homotopy operator, the solution of the covariancy constant and
related equations is an easy task.

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