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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 24 25 26 27 28 29 30 31 32 33 34 35 36 | 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.TensorEnergy
open scoped Classical
universe u
def AllSplitBound {S : Type u} [Fintype S] {d : ℕ}
(T : (S → Fin d) → ℝ) (M : ℝ) : Prop :=
∀(I O : Type u) [Fintype I] [Fintype O] [DecidableEq I] [DecidableEq O] [Nonempty I] [Nonempty O]
(e : S ≃ I ⊕ O),
Bound (fun (o : O → Fin d) (i : I → Fin d) => T (fun s => Sum.elim i o (e s))) (M^2)
end LogConcaveSampling.TensorEnergy
end UpperProof
end
end
end
end OAI
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