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

T5_cost_uniqueness_on_pos

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)

 164theorem T5_cost_uniqueness_on_pos {F : ℝ → ℝ} [JensenSketch F] :
 165  ∀ {x : ℝ}, 0 < x → F x = Jcost x :=

proof body

Tactic-mode proof.

 166by
 167  intro x hx
 168  have hAgree : AgreesOnExp F := by
 169    intro t
 170    exact le_antisymm (JensenSketch.axis_upper (F:=F) t) (JensenSketch.axis_lower (F:=F) t)
 171  exact (agree_on_exp_extends (F:=F) hAgree) hx
 172

depends on (9)

Lean names referenced from this declaration's body.