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chore(NumberTheory/NumberField/CanonicalEmbedding): deprecate measurableSet_interior_paramSet (#28426)
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Mathlib/NumberTheory/NumberField/CanonicalEmbedding/NormLeOne.lean

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@@ -645,13 +645,8 @@ theorem interior_paramSet :
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interior (paramSet K) = Set.univ.pi fun w ↦ if w = w₀ then Set.Iio 0 else Set.Ioo 0 1 := by
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simp [interior_pi_set Set.finite_univ, apply_ite]
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theorem measurableSet_interior_paramSet :
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MeasurableSet (interior (paramSet K)) := by
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rw [interior_paramSet]
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refine MeasurableSet.univ_pi fun _ ↦ ?_
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split_ifs
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· exact measurableSet_Iio
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· exact measurableSet_Ioo
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@[deprecated (since := "2025-08-26")] alias measurableSet_interior_paramSet :=
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measurableSet_interior
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open scoped Classical in
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theorem closure_paramSet :
@@ -858,7 +853,7 @@ theorem volume_interior_eq_volume_closure :
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refine MeasurableSet.preimage ?_ (continuous_normAtAllPlaces K).measurable
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refine MeasurableSet.image_of_continuousOn_injOn ?_ (continuous_expMapBasis K).continuousOn
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(injective_expMapBasis K).injOn
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exact measurableSet_interior_paramSet K
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exact measurableSet_interior
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refine le_antisymm (measure_mono interior_subset_closure) ?_
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refine (measure_mono (closure_normLeOne_subset K)).trans ?_
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refine le_of_eq_of_le ?_ (measure_mono (subset_interior_normLeOne K))

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