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Merge pull request #674 from Chessing234/ex-10-2-6-closed-interval
fix: Exercise 10.2.6 should bound |f x - f y| on the closed interval
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Analysis/Section_10_2.lean

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@@ -106,7 +106,7 @@ theorem lipschitz_bound {M a b:ℝ} (hM: M > 0) (hab: a < b) {f:ℝ → ℝ}
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(hcont: ContinuousOn f (.Icc a b))
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(hderiv: DifferentiableOn ℝ f (.Ioo a b))
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(hlip: ∀ x ∈ Set.Ioo a b, |derivWithin f (.Ioo a b) x| ≤ M)
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{x y:ℝ} (hx: x ∈ Set.Ioo a b) (hy: y ∈ Set.Ioo a b) :
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{x y:ℝ} (hx: x ∈ Set.Icc a b) (hy: y ∈ Set.Icc a b) :
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|f x - f y| ≤ M * |x - y| := by
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sorry
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