Newton's First Law is treated as an independent principle that defines inertial frames, not as a corollary of the Second Law.
Pfister, Newton’s first law revisited, Foundations of Physics Letters 17, 49 (2004)
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Newtons First Law Is Not a Special Case of the Second Law
Newton's First Law is treated as an independent principle that defines inertial frames, not as a corollary of the Second Law.