Newton's First Law is treated as an independent principle that defines inertial frames, not as a corollary of the Second Law.
Pourciau, The principia’s second law (as newton un- derstood it) from galileo to laplace, Archive for History of Exact Sciences 74, 183 (2020)
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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.