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chore(measure_theory/borel_space): add some simp attrs (#5075)
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src/measure_theory/borel_space.lean

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@@ -271,9 +271,9 @@ end
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section preorder
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variables [preorder α] [order_closed_topology α] {a b : α}
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lemma is_measurable_Ici : is_measurable (Ici a) := is_closed_Ici.is_measurable
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lemma is_measurable_Iic : is_measurable (Iic a) := is_closed_Iic.is_measurable
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lemma is_measurable_Icc : is_measurable (Icc a b) := is_closed_Icc.is_measurable
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@[simp] lemma is_measurable_Ici : is_measurable (Ici a) := is_closed_Ici.is_measurable
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@[simp] lemma is_measurable_Iic : is_measurable (Iic a) := is_closed_Iic.is_measurable
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@[simp] lemma is_measurable_Icc : is_measurable (Icc a b) := is_closed_Icc.is_measurable
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instance nhds_within_Ici_is_measurably_generated :
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(𝓝[Ici b] a).is_measurably_generated :=
@@ -309,11 +309,15 @@ end partial_order
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section linear_order
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variables [linear_order α] [order_closed_topology α] {a b : α}
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lemma is_measurable_Iio : is_measurable (Iio a) := is_open_Iio.is_measurable
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lemma is_measurable_Ioi : is_measurable (Ioi a) := is_open_Ioi.is_measurable
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lemma is_measurable_Ioo : is_measurable (Ioo a b) := is_open_Ioo.is_measurable
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lemma is_measurable_Ioc : is_measurable (Ioc a b) := is_measurable_Ioi.inter is_measurable_Iic
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lemma is_measurable_Ico : is_measurable (Ico a b) := is_measurable_Ici.inter is_measurable_Iio
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@[simp] lemma is_measurable_Iio : is_measurable (Iio a) := is_open_Iio.is_measurable
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@[simp] lemma is_measurable_Ioi : is_measurable (Ioi a) := is_open_Ioi.is_measurable
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@[simp] lemma is_measurable_Ioo : is_measurable (Ioo a b) := is_open_Ioo.is_measurable
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@[simp] lemma is_measurable_Ioc : is_measurable (Ioc a b) :=
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is_measurable_Ioi.inter is_measurable_Iic
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@[simp] lemma is_measurable_Ico : is_measurable (Ico a b) :=
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is_measurable_Ici.inter is_measurable_Iio
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instance nhds_within_Ioi_is_measurably_generated :
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(𝓝[Ioi b] a).is_measurably_generated :=

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