theorem
proved
term proof
proper_time_sq_pos_of_timelike
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formal statement (Lean)
259theorem proper_time_sq_pos_of_timelike (v : Displacement) (h : interval v < 0) :
260 0 < proper_time_sq v := by
proof body
Term-mode proof.
261 rw [proper_time_sq_eq_neg_interval]; linarith
262
263/-- **The velocity parameter**: v² = |Δx|²/(Δt)². -/