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fix: malformed doc closers in Section_9_4.lean #591

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teorth merged 3 commits into from
Jul 17, 2026
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fix: malformed doc closers in Section_9_4.lean #591

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fix: malformed doc closers in Section_9_4.lean
Chessing234 Jul 15, 2026
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ci: retrigger
Chessing234 Jul 15, 2026
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ci: retry after runner disk error
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12 changes: 6 additions & 6 deletions Analysis/Section_9_4.lean
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Original file line number Diff line number Diff line change
Expand Up @@ -29,7 +29,7 @@ theorem ContinuousWithinAt.iff (X:Set ℝ) (f: ℝ → ℝ) (x₀:ℝ) :
#check continuousOn_univ
#check continuousWithinAt_univ

/-- Example 9.4.2 --/
/-- Example 9.4.2. -/
example (c x₀:ℝ) : ContinuousWithinAt (fun x ↦ c) .univ x₀ := by sorry

example (c x₀:ℝ) : ContinuousAt (fun x ↦ c) x₀ := by sorry
Expand All @@ -38,18 +38,18 @@ example (c:ℝ) : ContinuousOn (fun x:ℝ ↦ c) .univ := by sorry

example (c:ℝ) : Continuous (fun x:ℝ ↦ c) := by sorry

/-- Example 9.4.3 --/
/-- Example 9.4.3. -/
example : Continuous (fun x:ℝ ↦ x) := by sorry

/-- Example 9.4.4 --/
/-- Example 9.4.4. -/
example {x₀:ℝ} (h: x₀ ≠ 0) : ContinuousAt Real.sign x₀ := by sorry

example :¬ ContinuousAt Real.sign 0 := by sorry

/-- Example 9.4.5 --/
/-- Example 9.4.5. -/
example (x₀:ℝ) : ¬ ContinuousAt f_9_3_21 x₀ := by sorry

/-- Example 9.4.6 --/
/-- Example 9.4.6. -/
noncomputable abbrev f_9_4_6 (x:ℝ) : ℝ := if x ≥ 0 then 1 else 0

example {x₀:ℝ} (h: x₀ ≠ 0) : ContinuousAt f_9_4_6 x₀ := by sorry
Expand All @@ -68,7 +68,7 @@ theorem ContinuousWithinAt.tfae (X:Set ℝ) (f: ℝ → ℝ) (x₀:ℝ) :
].TFAE := by
sorry

/-- Remark 9.4.8 --/
/-- Remark 9.4.8. -/
theorem _root_.Filter.Tendsto.comp_of_continuous {X:Set ℝ} {f: ℝ → ℝ} {x₀:ℝ}
(h_cont: ContinuousWithinAt f X x₀) {a: ℕ → ℝ} (ha: ∀ n, a n ∈ X)
(hconv: Filter.atTop.Tendsto a (nhds x₀)):
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