Manipulation of Exterior Derivative
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Theorem
For the exterior derivative, the following statements are true:
- $\mathrm d \left({a b}\right) = a \mathrm d b + \left({\mathrm d a}\right) b$
- $\mathrm d \left({a \wedge b}\right) = \mathrm d a \wedge b - a \wedge \mathrm d b$
where $a \wedge b$ is the wedge product.
Proof
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