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

baryon_loading_decreasing

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)

  33theorem baryon_loading_decreasing (R₀ : ℝ) (hR : 0 < R₀) (z₁ z₂ : ℝ)
  34    (hz₁ : -1 < z₁) (hz₂ : -1 < z₂) (h : z₁ < z₂) :
  35    baryon_loading R₀ z₂ < baryon_loading R₀ z₁ := by

proof body

Term-mode proof.

  36  unfold baryon_loading
  37  apply div_lt_div_of_pos_left (by linarith) (by linarith) (by linarith)
  38
  39/-- **SOUND SPEED**: c_s = c/√(3(1+R))
  40    In units c=1: c_s = 1/√(3(1+R)). -/

depends on (1)

Lean names referenced from this declaration's body.