pith. machine review for the scientific record. sign in
theorem proved term proof

balanced_has_minimum_cost

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)

  98theorem balanced_has_minimum_cost (e : RecognitionEvent) :
  99    infoCost balancedEvent ≤ infoCost e := by

proof body

Term-mode proof.

 100  unfold infoCost balancedEvent
 101  rw [Jcost_unit0]
 102  exact Jcost_nonneg e.ratio_pos
 103
 104/-- **THEOREM IC-001.6**: The balanced state is the unique minimum.
 105    It is the only state where no additional information is encoded. -/

used by (1)

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

depends on (17)

Lean names referenced from this declaration's body.