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theorem proved tactic proof

energy2_nonneg_pointwise

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formal statement (Lean)

  89theorem energy2_nonneg_pointwise
  90  [inst : HasHodge α] (h : inst.n - 2 = 2) (M : Medium α) (hadm : Admissible (α:=α) M) (ω : DForm α 2)

proof body

Tactic-mode proof.

  91  : ∀ s, 0 ≤ energy2 (α:=α) ω h s := by
  92  intro s
  93  have hpsd := HasHodge.star2_psd (α:=α) h ω s
  94  simp [energy2]
  95  exact hpsd
  96
  97/-- PEC boundary descriptor (edges where tangential E vanishes). -/

depends on (12)

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