recognition /
Geometry /
Geometry.DeficitLinearization /
explainer
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formal statement (Lean)
100 def 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
107 A `WellShaped` package certifies that:
108
109 1. The complex is flat at the background.
110 2. Linearization coefficients exist.
111 3. Schläfli's identity holds for those coefficients.
112
113 This is exactly what Phase C5 needs. -/
114
115 /-- A complete well-shapedness package for the linearization. -/
used by (3)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (20)
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