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Mathlib/MeasureTheory/Function/LocallyIntegrable.lean

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@@ -33,7 +33,7 @@ open scoped Topology Interval ENNReal
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variable {X Y ε ε' ε'' E F R : Type*} [MeasurableSpace X] [TopologicalSpace X]
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variable [MeasurableSpace Y] [TopologicalSpace Y]
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variable [TopologicalSpace ε] [ContinuousENorm ε] [TopologicalSpace ε'] [ContinuousENorm ε']
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[TopologicalSpace ε''] [ESeminormedAddMonoid ε'']
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[TopologicalSpace ε''] [AddMonoid ε''] [ESeminormedAddMonoid ε'']
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[NormedAddCommGroup E] [NormedAddCommGroup F] {f g : X → ε} {μ ν : Measure X} {s : Set X}
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namespace MeasureTheory

Mathlib/MeasureTheory/Function/LpSeminorm/Indicator.lean

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@@ -31,7 +31,7 @@ variable {f : α → F}
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section Indicator
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variable {ε : Type*} [TopologicalSpace ε] [ESeminormedAddMonoid ε]
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variable {ε : Type*} [TopologicalSpace ε] [AddMonoid ε] [ESeminormedAddMonoid ε]
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{c : ε} {hf : AEStronglyMeasurable f μ} {s : Set α}
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{ε' : Type*} [TopologicalSpace ε'] [ContinuousENorm ε']
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Mathlib/MeasureTheory/Function/LpSeminorm/Monotonicity.lean

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@@ -58,7 +58,7 @@ theorem eLpNorm'_le_nnreal_smul_eLpNorm'_of_ae_le_mul' {f : α → ε} {g : α
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section ESeminormedAddMonoid
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variable {ε : Type*} [TopologicalSpace ε] [ESeminormedAddMonoid ε]
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variable {ε : Type*} [TopologicalSpace ε] [AddMonoid ε] [ESeminormedAddMonoid ε]
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/-- If `‖f x‖ₑ ≤ c * ‖g x‖ₑ` a.e., `eLpNorm' f p μ ≤ c * eLpNorm' g p μ` for all `p ∈ (0, ∞)`. -/
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theorem eLpNorm'_le_mul_eLpNorm'_of_ae_le_mul {f : α → ε} {c : ℝ≥0∞} {g : α → ε'} {p : ℝ}
@@ -160,7 +160,7 @@ theorem eLpNorm_le_mul_eLpNorm_of_ae_le_mul' {f : α → ε} {g : α → ε'} {c
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eLpNorm f p μ ≤ c * eLpNorm g p μ := by
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apply eLpNorm_le_nnreal_smul_eLpNorm_of_ae_le_mul' h
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variable {ε : Type*} [TopologicalSpace ε] [ESeminormedAddMonoid ε] in
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variable {ε : Type*} [TopologicalSpace ε] [AddMonoid ε] [ESeminormedAddMonoid ε] in
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/-- If `‖f x‖ₑ ≤ c * ‖g x‖ₑ`, then `eLpNorm f p μ ≤ c * eLpNorm g p μ`.
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This version allows `c = ∞`, but requires `g` to be a.e. strongly measurable. -/

Mathlib/MeasureTheory/Function/LpSeminorm/SMul.lean

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@@ -59,8 +59,8 @@ end IsBoundedSMul
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section ENormSMulClass
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variable {𝕜 : Type*} [NormedRing 𝕜]
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{ε : Type*} [TopologicalSpace ε] [ESeminormedAddMonoid ε] [SMul 𝕜 ε] [ENormSMulClass 𝕜 ε]
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{c : 𝕜} {f : α → ε}
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{ε : Type*} [TopologicalSpace ε] [AddMonoid ε] [ESeminormedAddMonoid ε]
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[SMul 𝕜 ε] [ENormSMulClass 𝕜 ε] {c : 𝕜} {f : α → ε}
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theorem eLpNorm'_const_smul_le' (hq : 0 < q) : eLpNorm' (c • f) q μ ≤ ‖c‖ₑ * eLpNorm' f q μ :=
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eLpNorm'_le_nnreal_smul_eLpNorm'_of_ae_le_mul'

Mathlib/MeasureTheory/VectorMeasure/Variation/Basic.lean

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@@ -36,7 +36,7 @@ open scoped ENNReal
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namespace MeasureTheory.VectorMeasure
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variable {X V : Type*} {mX : MeasurableSpace X}
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[TopologicalSpace V] [ENormedAddCommMonoid V] [T2Space V]
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[TopologicalSpace V] [AddCommMonoid V] [ENormedAddMonoid V] [T2Space V]
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@[simp]
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lemma variation_apply (μ : VectorMeasure X V) (s : Set X) :

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