| import Mathlib | |
| import OAI.Probability.LogConcave.JetEstimates.Bound | |
| namespace OAI | |
| section | |
| section | |
| noncomputable section | |
| open MeasureTheory Filter | |
| open scoped ENNReal NNReal Topology | |
| section UpperProof | |
| open MeasureTheory ProbabilityTheory Filter | |
| open scoped ENNReal NNReal RealInnerProductSpace Topology | |
| open Function MeasureTheory Set Filter | |
| open scoped Topology NNReal | |
| namespace LogConcaveSampling.JetCalculus | |
| variable {E : Type*} [NormedAddCommGroup E] [NormedSpace ℝ E] {ι : Type*} | |
| lemma jet_congr_on_list (v w : ι → E) (l : List ι) (f : E → ℝ) | |
| (h : ∀i∈l,v i=w i) : jet v l f=jet w l f := by | |
| induction l with | |
| | nil => rfl | |
| | cons i l ih => | |
| change dir (v i) (jet v l f) = dir (w i) (jet w l f) | |
| rw [h i (by simp)] | |
| rw [ih (fun j hj => h j (List.mem_cons_of_mem _ hj))] | |
| end LogConcaveSampling.JetCalculus | |
| end UpperProof | |
| end | |
| end | |
| end | |
| end OAI | |