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

vacuum_climate_zero_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)

  47theorem vacuum_climate_zero_cost {N : ℕ} :
  48    climateJCost (fun _ : Fin N => (0 : ℝ)) = 0 := by

proof body

Term-mode proof.

  49  unfold climateJCost
  50  apply Finset.sum_eq_zero
  51  intro i _
  52  simp [Cost.Jcost_unit0]
  53
  54/-- **MASTER THEOREM**: the vacuum state is the global J-cost
  55    minimum of climate phase space. -/

used by (2)

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

depends on (18)

Lean names referenced from this declaration's body.