OAI/GroupTheory/PolycyclicRecognition/Algebra/TemplateThickeningLimit.lean
1 declarations, 0 contain sorry, 0 declared as axioms
Removing the final height-template enlargement
- theorem
OAI.PolycyclicRecognition.SupportDatum.le_templateSupport_of_thickeningsline 18Source documentation
An exponent bounded by every positive thickening is bounded by the original compact template.
theorem le_templateSupport_of_thickenings {E : Set W} (hE : IsCompact E) (hne : E.Nonempty) {p : ℝ} (h : ∀ ε : ℝ, 0 < ε → p ≤ D.templateSupport (E + closedBall 0 ε)) : p ≤ D.templateSupport E := by …