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lines changed Original file line number Diff line number Diff line change @@ -33,7 +33,7 @@ open scoped Topology Interval ENNReal
3333variable {X Y ε ε' ε'' E F R : Type *} [MeasurableSpace X] [TopologicalSpace X]
3434variable [MeasurableSpace Y] [TopologicalSpace Y]
3535variable [TopologicalSpace ε] [ContinuousENorm ε] [TopologicalSpace ε'] [ContinuousENorm ε']
36- [TopologicalSpace ε''] [ESeminormedAddMonoid ε'']
36+ [TopologicalSpace ε''] [AddMonoid ε''] [ ESeminormedAddMonoid ε'']
3737 [NormedAddCommGroup E] [NormedAddCommGroup F] {f g : X → ε} {μ ν : Measure X} {s : Set X}
3838
3939namespace MeasureTheory
Original file line number Diff line number Diff line change @@ -31,7 +31,7 @@ variable {f : α → F}
3131
3232section Indicator
3333
34- variable {ε : Type *} [TopologicalSpace ε] [ESeminormedAddMonoid ε]
34+ variable {ε : Type *} [TopologicalSpace ε] [AddMonoid ε] [ ESeminormedAddMonoid ε]
3535 {c : ε} {hf : AEStronglyMeasurable f μ} {s : Set α}
3636 {ε' : Type *} [TopologicalSpace ε'] [ContinuousENorm ε']
3737
Original file line number Diff line number Diff line change @@ -58,7 +58,7 @@ theorem eLpNorm'_le_nnreal_smul_eLpNorm'_of_ae_le_mul' {f : α → ε} {g : α
5858
5959section ESeminormedAddMonoid
6060
61- variable {ε : Type *} [TopologicalSpace ε] [ESeminormedAddMonoid ε]
61+ variable {ε : Type *} [TopologicalSpace ε] [AddMonoid ε] [ ESeminormedAddMonoid ε]
6262
6363/-- If `‖f x‖ₑ ≤ c * ‖g x‖ₑ` a.e., `eLpNorm' f p μ ≤ c * eLpNorm' g p μ` for all `p ∈ (0, ∞)`. -/
6464theorem 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
160160 eLpNorm f p μ ≤ c * eLpNorm g p μ := by
161161 apply eLpNorm_le_nnreal_smul_eLpNorm_of_ae_le_mul' h
162162
163- variable {ε : Type *} [TopologicalSpace ε] [ESeminormedAddMonoid ε] in
163+ variable {ε : Type *} [TopologicalSpace ε] [AddMonoid ε] [ ESeminormedAddMonoid ε] in
164164/-- If `‖f x‖ₑ ≤ c * ‖g x‖ₑ`, then `eLpNorm f p μ ≤ c * eLpNorm g p μ`.
165165
166166This version allows `c = ∞`, but requires `g` to be a.e. strongly measurable. -/
Original file line number Diff line number Diff line change @@ -59,8 +59,8 @@ end IsBoundedSMul
5959section ENormSMulClass
6060
6161variable {𝕜 : Type *} [NormedRing 𝕜]
62- {ε : Type *} [TopologicalSpace ε] [ESeminormedAddMonoid ε] [SMul 𝕜 ε] [ENormSMulClass 𝕜 ε]
63- {c : 𝕜} {f : α → ε}
62+ {ε : Type *} [TopologicalSpace ε] [AddMonoid ε] [ESeminormedAddMonoid ε]
63+ [SMul 𝕜 ε] [ENormSMulClass 𝕜 ε] {c : 𝕜} {f : α → ε}
6464
6565theorem eLpNorm'_const_smul_le' (hq : 0 < q) : eLpNorm' (c • f) q μ ≤ ‖c‖ₑ * eLpNorm' f q μ :=
6666 eLpNorm'_le_nnreal_smul_eLpNorm'_of_ae_le_mul'
Original file line number Diff line number Diff line change @@ -36,7 +36,7 @@ open scoped ENNReal
3636namespace MeasureTheory.VectorMeasure
3737
3838variable {X V : Type *} {mX : MeasurableSpace X}
39- [TopologicalSpace V] [ENormedAddCommMonoid V] [T2Space V]
39+ [TopologicalSpace V] [AddCommMonoid V] [ENormedAddMonoid V] [T2Space V]
4040
4141@[simp]
4242lemma variation_apply (μ : VectorMeasure X V) (s : Set X) :
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