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3 changes: 1 addition & 2 deletions LMLTutorial/Pages/Martingales.lean
Original file line number Diff line number Diff line change
Expand Up @@ -93,8 +93,7 @@ example {Y : ℕ → Ω → ℝ} (hY : Submartingale Y 𝓕 P)
∀ᵐ ω ∂P, Tendsto (Y · ω) atTop (𝓝 (𝓕.limitProcess Y P ω)) := by
classical
suffices ∃ g, StronglyMeasurable[⨆ n, 𝓕 n] g ∧ ∀ᵐ ω ∂P, Tendsto (Y · ω) atTop (𝓝 (g ω)) by
rw [Filtration.limitProcess, dif_pos this]
exact (Classical.choose_spec this).2
exact Filtration.HasLimitProcess.ae_tendsto_limitProcess this
set g' : Ω → ℝ := fun ω ↦ if h : ∃ c, Tendsto (Y · ω) atTop (𝓝 c) then h.choose else 0
have hle : ⨆ n, 𝓕 n ≤ mΩ := sSup_le fun m ⟨n, hn⟩ ↦ hn ▸ 𝓕.le _
have hg' : ∀ᵐ ω ∂P.trim hle, Tendsto (Y · ω) atTop (𝓝 (g' ω)) := by
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4 changes: 2 additions & 2 deletions lake-manifest.json
Original file line number Diff line number Diff line change
Expand Up @@ -5,10 +5,10 @@
"type": "git",
"subDir": null,
"scope": "leanprover-community",
"rev": "dd56d02cb7a58fa066c4a2c7fddec3cbb59ae8df",
"rev": "7d6757bc18680044fc0ff6efc8ee20494b408556",
"name": "mathlib",
"manifestFile": "lake-manifest.json",
"inputRev": "master",
"inputRev": "7d6757bc18680044fc0ff6efc8ee20494b408556",
"inherited": false,
"configFile": "lakefile.lean"},
{"url": "https://github.com/leanprover/verso",
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2 changes: 1 addition & 1 deletion lakefile.toml
Original file line number Diff line number Diff line change
Expand Up @@ -17,7 +17,7 @@ rev = "v4.35.0-rc3"
[[require]]
name = "mathlib"
scope = "leanprover-community"
rev = "dd56d02cb7a58fa066c4a2c7fddec3cbb59ae8df"
rev = "7d6757bc18680044fc0ff6efc8ee20494b408556"

[[lean_lib]]
name = "LeanMachineLearning"
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