Frame of Reference moving at Constant Velocity relative to Inertial Frame is Inertial Frame

Theorem

Let $F_1$ be a frame of reference.

Let $F_2$ be an inertial frame of reference.

Let $F_1$ be moving at constant velocity relative to $F_2$.

Then $F_1$ is an inertial frame of reference.

Proof

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Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): frame of reference
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): frame of reference