OAI/Analysis/Mahler/GlobalPlanarMonotonicity.lean
1 declarations, 0 contain sorry, 0 declared as axioms
- theorem
OAI.SymmetricMahler.strictMonoOn_planarPrimitive_globalline 11Source documentation
The original primitive is strictly increasing on every entire actual vertical section, including across its possible zero derivative at the origin.
theorem strictMonoOn_planarPrimitive_global {m : ℕ} (hm : 0 < m) {q : ℝ} (hq : q ∈ Ioo (-1 : ℝ) 1) : StrictMonoOn (planarPrimitive m q) (verticalFiber q) := by …Mentions: OAI.SymmetricMahler.planarPrimitive, OAI.SymmetricMahler.verticalFiber