開曼公司（Cayman Islands company）是在開曼群島注冊并設立的公司實體。對于開曼公司的首任董事任命，通常需要提交一份稱為"首任董事任命書"（First Director Appointment）的文件。

以下是一份簡要的開曼公司首任董事任命書的示例：

[Company Name] [Registered Office Address] [City, Country] [Date]

To: The Directors of [Company Name]

Dear Sir/Madam,

APPOINTMENT OF FIRST DIRECTORS

Pursuant to the Companies Law (as amended) of the Cayman Islands, we, the subscribers, being the initial shareholders of [Company Name], hereby appoint the following individuals as the first directors of the company:

[Director's Name] [Director's Address]

[Director's Name] [Director's Address]

The appointed directors shall hold office until the first annual general meeting of the company and until their successors are duly appointed and qualified.

Please arrange for the necessary filings and registrations to be made with the appropriate authorities to reflect the appointment of the aforementioned directors.

Yours faithfully,

[Shareholder's Name] [Shareholder's Address]

[Shareholder's Signature]

Note: The above is a sample document for illustrative purposes only. The specific content and format may vary depending on the company's requirements and the legal regulations of the Cayman Islands. It is important to consult with legal professionals or company formation agents who specialize in Cayman Islands company incorporation to ensure compliance with the applicable laws and regulations.

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