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lemma proved term proof

eta_deriv_zero

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formal statement (Lean)

 122lemma eta_deriv_zero (μ ν κ : Fin 4) (x : Fin 4 → ℝ) :
 123    partialDeriv_v2 (fun y => eta y (fun _ => 0) (fun i => if i.val = 0 then μ else ν)) κ x = 0 := by

proof body

Term-mode proof.

 124  apply partialDeriv_v2_const (c := eta x (fun _ => 0) (fun i => if i.val = 0 then μ else ν))
 125  intro y; unfold eta; rfl
 126
 127/-- Christoffel symbols vanish for the Minkowski metric. -/

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