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

eightTickModel

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)

 135noncomputable def eightTickModel : Model Unit := {

proof body

Definition body.

 136  C := {
 137    Knet := (9/7)^2,
 138    Cproj := 2,
 139    Ceng := 1,
 140    Cdisp := 1,
 141    Knet_nonneg := by norm_num,
 142    Cproj_nonneg := by norm_num,
 143    Ceng_nonneg := by norm_num,
 144    Cdisp_nonneg := by norm_num
 145  },
 146  defectMass := fun _ => 1,
 147  orthoMass := fun _ => 1,
 148  energyGap := fun _ => 4,
 149  tests := fun _ => 1,
 150  projection_defect := by
 151    intro _
 152    -- Need: 1 ≤ (9/7)^2 * 2 * 1
 153    have h : (1 : ℝ) ≤ (9/7)^2 * 2 := by norm_num
 154    linarith,
 155  energy_control := by intro _; norm_num,
 156  dispersion := by intro _; norm_num
 157}
 158
 159/-- The eight-tick coercivity constant is 49/162. -/

used by (2)

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

depends on (13)

Lean names referenced from this declaration's body.