In plain English
FAR 52.209-10, Prohibition on Contracting with Inverted Domestic Corporations, is a contract clause prescribed at FAR 9.108-5(b), most recently dated Nov 2015. The complete official text is reproduced below, verbatim, from GSA's published FAR source files.
Its text contains no sentence requiring insertion into subcontracts; see the flowdown section below for what that does and does not mean.
Does it flow down to subcontracts?
No flowdown mandate found in the clause text
We scanned the full clause text and found no sentence directing the contractor to insert this clause into subcontracts. That is a statement about the text, not legal advice: a prime contractor may still flow terms down contractually, an agency supplement (DFARS, VAAR, …) may add requirements, and clauses listed below (if any) may order this clause into subcontracts from the outside.
Where it's prescribed
As prescribed in 9.108-5(b), insert the following clause:
Prescribing reference: FAR 9.108-5(b).
The official text, verbatim
As prescribed in 9.108-5(b), insert the following clause:
Prohibition on Contracting with Inverted Domestic Corporations (Nov 2015)
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(a) Definitions. As used in this clause-
Inverted domestic corporation means a foreign incorporated entity that meets the definition of an inverted domestic corporation under 6 U.S.C. 395(b), applied in accordance with the rules and definitions of 6 U.S.C. 395(c).
Subsidiary means an entity in which more than 50 percent of the entity is owned-
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(1) Directly by a parent corporation; or
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(2) Through another subsidiary of a parent corporation.
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(b) If the contractor reorganizes as an inverted domestic corporation or becomes a subsidiary of an inverted domestic corporation at any time during the period of performance of this contract, the Government may be prohibited from paying for Contractor activities performed after the date when it becomes an inverted domestic corporation or subsidiary. The Government may seek any available remedies in the event the Contractor fails to perform in accordance with the terms and conditions of the contract as a result of Government action under this clause.
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(c) Exceptions to this prohibition are located at 9.108-2.
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(d) In the event the Contractor becomes either an inverted domestic corporation, or a subsidiary of an inverted domestic corporation during contract performance, the Contractor shall give written notice to the Contracting Officer within five business days from the date of the inversion event.
(End of clause)