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theorem proved term proof

deficit_eq

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formal statement (Lean)

  99theorem deficit_eq (h : SimplicialHingeData) :
 100    h.deficit = 2 * Real.pi - h.totalTheta := rfl

proof body

Term-mode proof.

 101
 102end SimplicialHingeData
 103
 104/-! ## §2. Variational data
 105
 106For Schläfli's identity we need derivatives of `θ_h` with respect to each
 107edge length `L_e`. We package these as a matrix of real numbers, one per
 108(hinge, edge) pair. The identity below constrains this matrix. -/
 109
 110/-- A matrix of deficit-angle derivatives: `dThetadL h e` is intended
 111    to be `∂(totalTheta h) / ∂(len e)`. -/

depends on (23)

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