OAI/Analysis/BernoulliCone/CompactZeroFiber.lean
1 declarations, 0 contain sorry, 0 declared as axioms
- lemma
OAI.Bernoulli.Foliation.eventually_near_zero_fiberline 14Source documentation
Compact zero-fiber control. No convergence of the selected root is needed.
lemma eventually_near_zero_fiber {K:Set E} (hK:IsCompact K) {f g:E→ℝ} {C:ℝ} (hf:∀x∈K,ContinuousAt f x) (hg:∀x∈K,ContinuousAt g x) (hzero:∀x∈K,f x=0 → g x<C) : ∀ᶠ t:ℝ in 𝓝 0,∀x∈K,f x=t → g x<C := by …