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

clusteringRatio_band

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)

  94theorem clusteringRatio_band :
  95    (0.617 : ℝ) < clusteringRatio ∧ clusteringRatio < 0.622 := by

proof body

Term-mode proof.

  96  unfold clusteringRatio
  97  have h1 := phi_gt_onePointSixOne
  98  have h2 := phi_lt_onePointSixTwo
  99  refine ⟨?_, ?_⟩
 100  · rw [lt_div_iff₀ phi_pos]; linarith
 101  · rw [div_lt_iff₀ phi_pos]; linarith
 102
 103/-! ## §4. Master certificate -/
 104

used by (3)

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

depends on (3)

Lean names referenced from this declaration's body.