"ARTICLE XIX—Assignment of Player Contracts
A. Consent to Assignment
(1) The contract of a Player with ten or more years of Major
League service, the last five of which have been with one Club,
shall not be assignable to another Major League Club without the
Player’s written consent. At his sole election, however, a Player
may, at the time he signs a multi-year contract with a Club, waive
the right to prevent an assignment of his contract under this Section
A(1), provided that the multi-year contract (a) is signed before the
Player has attained ten or more years of Major League service, the
last five of which have been with one Club, and ( contains a no
trade provision that, at a minimum, limits the Club’s right to assign
the Player’s contract, during each of its years, to no more than sixteen
(16) Clubs designated or subsequently to be designated by the
Player.
(2) (a) The contract of a Player with five or more years of Major
League service, not including service while on the Military List (or
seven or more years of Major League service, including service
while on the Military List), shall not be assigned otherwise than to
another Major League Club, without the Player’s written consent."
The bolded portion of the above CBA excerpt is commonly known as the "veteran's consent" rule.
Subsection (1) directly above it outlines "10/5" rights.