Question is unclear. What about the warrant is incomplete, and how would they know it?
If the affidavit in support of the warrant application is incomplete the warrant should never have been issued. However, if the judge's signature appears on the warrant it can be considered legal.
If you are referring to the copy that the resident was given by the searching officers/agents - it is not necessary that the entire document be given to the resident - only enough to show that the correct address/location was being served. In fact it is not even a settled matter of law that the resident must be given or shown, a copy of the warrant. Many agencies do so, however, as information to the resident or as a 'public relations' matter.
If the validity of the warrant is in question, it can be raised in court as a defense against unlawful search and seizure. If upheld, any evidence seized at the time of the warrant service will be excluded from trial as "fruit of the poisoned tree."
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