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

LogBilinearIdentity

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)

 322def LogBilinearIdentity (G : ℝ → ℝ) (c : ℝ) : Prop :=

proof body

Definition body.

 323  ∀ t u : ℝ,
 324    G (t + u) + G (t - u) = 2 * G t + 2 * G u + c * G t * G u
 325
 326/-- A classified log-coordinate cost: parabolic, hyperbolic, trigonometric,
 327or zero. This is the algebraic target left after the smoothness/affine-forcing
 328analysis has been done. -/

used by (10)

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

depends on (15)

Lean names referenced from this declaration's body.