pith. machine review for the scientific record. sign in
def definition def or abbrev

SchlaefliIdentity

show as:
view Lean formalization →

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

generate prose now

formal statement (Lean)

 129def SchlaefliIdentity {nH nE : ℕ}
 130    (hinges : Fin nH → SimplicialHingeData)
 131    (M : DeficitDerivativeMatrix nH nE) : Prop :=

proof body

Definition body.

 132  ∀ e : Fin nE,
 133    (∑ h : Fin nH, (hinges h).area * M.dThetadL h e) = 0
 134
 135/-! ## §4. Consequences of Schläfli's identity
 136
 137Schläfli's identity makes the second term of the Regge variation vanish,
 138leaving only the `∂A/∂L · δ` piece. This is what the Regge equations of
 139motion look like. -/
 140
 141/-- Under Schläfli, the `Σ A · dθ/dL` term in the Regge variation is
 142    identically zero. -/

used by (3)

From the project-wide theorem graph. These declarations reference this one in their body.

depends on (20)

Lean names referenced from this declaration's body.