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

dAlembert_to_ODE_hypothesis_neg

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)

 249def dAlembert_to_ODE_hypothesis_neg (H : ℝ → ℝ) : Prop :=

proof body

Definition body.

 250  H 0 = 1 → Continuous H → (∀ t u, H (t+u) + H (t-u) = 2 * H t * H u) →
 251    deriv (deriv H) 0 = -1 → ∀ t, deriv (deriv H) t = -H t
 252
 253/-- cos satisfies the d'Alembert smoothness hypothesis. -/

used by (3)

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

depends on (2)

Lean names referenced from this declaration's body.