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NoneMoreplp127
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Co-authored-by: Aaron Liu <aaronliu2008@outlook.com>
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Mathlib/Topology/DerivedSet.lean

Lines changed: 2 additions & 2 deletions
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@@ -48,8 +48,8 @@ lemma derivedSet_mono (A B : Set X) (h : A ⊆ B) : derivedSet A ⊆ derivedSet
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/-- The relative derived set operator viewed as a monotone self-map of `Set X`. -/
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def relDerivedSet : Set X →o Set X where
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toFun := fun s => derivedSet s ∩ s
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monotone' := fun _ _ h ↦ Set.inter_subset_inter (derivedSet_mono _ _ h) (h)
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toFun s := derivedSet s ∩ s
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monotone' s t h := Set.inter_subset_inter (derivedSet_mono s t h) h
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@[simp] lemma relDerivedSet_apply (A : Set X) : relDerivedSet A = derivedSet A ∩ A := rfl
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