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dd14c26 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 | import Mathlib
import OAI.Probability.LogConcave.Numerics.RowGaussian
namespace OAI
section
noncomputable section
namespace LogConcaveSampling.MeanTree
open MeasureTheory
variable {X : Type*} [MeasurableSpace X] {d : ℕ}
lemma centerValues_mono {F : Point d → ℝ} {Q Q' : ℝ} (h : Q≤Q') (E : MeanTree X d) (x : X) :
centerValues F Q E x → centerValues F Q' E x := by
induction E with | node k b hb a r C ih =>
intro he i
exact ⟨(he i).1.trans h,ih i (he i).2⟩
end LogConcaveSampling.MeanTree
end
end
end OAI
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