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def definition def or abbrev

linearizedDeficit

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formal statement (Lean)

 100def linearizedDeficit {nH nE : ℕ}
 101    (M : LinearizationCoefficients nH nE) (η : EdgePerturbation nE)
 102    (h : Fin nH) : ℝ :=

proof body

Definition body.

 103  - (∑ e : Fin nE, M.dThetadL h e * η.eta e)
 104
 105/-! ## §3. The well-shapedness bundle
 106
 107A `WellShaped` package certifies that:
 108
 1091. The complex is flat at the background.
 1102. Linearization coefficients exist.
 1113. Schläfli's identity holds for those coefficients.
 112
 113This is exactly what Phase C5 needs. -/
 114
 115/-- A complete well-shapedness package for the linearization. -/

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