lemma
proved
term proof
coordRay_coordRay
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formal statement (Lean)
29@[simp] lemma coordRay_coordRay (x : Fin 4 → ℝ) (μ : Fin 4) (s t : ℝ) :
30 coordRay (coordRay x μ s) μ t = coordRay x μ (s + t) := by
proof body
Term-mode proof.
31 funext ν; simp [coordRay]; ring
32
33/-- Directional derivative `∂_μ f(x)` via real derivative along the coordinate ray. -/