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

IsEquilibrium

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)

 507def IsEquilibrium {N : ℕ} (c : Configuration N) : Prop :=

proof body

Definition body.

 508  IsVariationalSuccessor c c
 509
 510/-- **Theorem (Equilibrium Characterization)**:
 511    A configuration is at equilibrium iff it minimizes total defect
 512    over its feasible set — iff it is the unique minimizer.
 513
 514    For log-charge = 0, this is the unity configuration (all entries = 1).
 515    For general log-charge σ, this is the uniform configuration
 516    (all entries = exp(σ/N)). -/

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.