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Original file line number Diff line number Diff line change
Expand Up @@ -10,6 +10,8 @@ public import Mathlib.MeasureTheory.Measure.ProbabilityMeasure
public import Mathlib.Probability.Independence.Basic
public import Mathlib.Probability.Independence.Conditional

import Mathlib.Probability.Kernel.CompProdEqIff

/-!
# Lemmas about conditional distributions

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Original file line number Diff line number Diff line change
Expand Up @@ -119,15 +119,15 @@ lemma IsAlgEnvSeq.memLp_noiseSum_increment [BorelSpace 𝓨]
{m : ℕ} (k : 𝓐) (h : IsAlgEnvSeq O A Y alg env P) {p : ℝ≥0∞} (hp1 : 1 ≤ p) (hp_top : p ≠ ∞)
(hY : MemLp (Y m) p P) :
MemLp ({ω | A m ω = k}.indicator (fun ω ↦ Y m ω - env.means O A Y (A m ω) m ω)) p P := by
refine (hY.sub ?_).indicator (h.measurable_action _ (measurableSet_singleton k))
refine (hY.sub ?_).indicator (h.measurable_action _ (measurableSet_singleton k)).nullMeasurableSet
exact h.memLp_means_action hp1 hp_top hY

lemma IsAlgEnvSeq.memLp_meanSum_increment [BorelSpace 𝓨]
{m : ℕ} (k : 𝓐) (h : IsAlgEnvSeq O A Y alg env P) {p : ℝ≥0∞} (hp1 : 1 ≤ p) (hp_top : p ≠ ∞)
(hY : MemLp (Y m) p P) :
MemLp ({ω | A m ω = k}.indicator (fun ω ↦ env.means O A Y (A m ω) m ω)) p P := by
exact (h.memLp_means_action hp1 hp_top hY).indicator
(h.measurable_action _ (measurableSet_singleton k))
(h.measurable_action _ (measurableSet_singleton k)).nullMeasurableSet

lemma IsAlgEnvSeq.memLp_noiseSum [BorelSpace 𝓨]
(h : IsAlgEnvSeq O A Y alg env P) {p : ℝ≥0∞} (hp1 : 1 ≤ p) (hp_top : p ≠ ∞)
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24 changes: 12 additions & 12 deletions lake-manifest.json
Original file line number Diff line number Diff line change
Expand Up @@ -5,27 +5,27 @@
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Expand All @@ -35,7 +35,7 @@
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Expand All @@ -45,7 +45,7 @@
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Expand All @@ -55,7 +55,7 @@
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Expand All @@ -65,7 +65,7 @@
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Expand All @@ -75,7 +75,7 @@
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Expand All @@ -85,7 +85,7 @@
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Expand All @@ -105,7 +105,7 @@
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4 changes: 2 additions & 2 deletions lakefile.toml
Original file line number Diff line number Diff line change
Expand Up @@ -12,12 +12,12 @@ weak.linter.mathlibStandardSet = true
[[require]]
name = "verso"
git = "https://github.com/leanprover/verso"
rev = "v4.35.0-rc2"
rev = "v4.35.0-rc3"

[[require]]
name = "mathlib"
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rev = "f35c415953ee34a1ad5b022fe2ed97c3c77c4093"
rev = "dd56d02cb7a58fa066c4a2c7fddec3cbb59ae8df"

[[lean_lib]]
name = "LeanMachineLearning"
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