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

jcost_pos_away_from_one

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)

  63theorem jcost_pos_away_from_one {x : ℝ} (hx : 0 < x) (hne : x ≠ 1) :
  64    0 < Jcost x := Jcost_pos_of_ne_one x hx hne

proof body

Term-mode proof.

  65
  66/-- **F1.1.6**: J(1) = 0 and the second derivative at 1 gives unit curvature.
  67    We state this via the quadratic approximation. -/

used by (3)

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

depends on (6)

Lean names referenced from this declaration's body.