measure_theory.measure.outer_measure ⟷ Mathlib.MeasureTheory.OuterMeasure.Basic

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

@@ -173,7 +173,7 @@ protected theorem union (m : OuterMeasure α) (s₁ s₂ : Set α) : m (s₁ ∪
 #align measure_theory.outer_measure.union MeasureTheory.OuterMeasure.union
 -/
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:641:2: warning: expanding binder collection (t «expr ⊆ » s) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:642:2: warning: expanding binder collection (t «expr ⊆ » s) -/
 #print MeasureTheory.OuterMeasure.null_of_locally_null /-
 /-- If a set has zero measure in a neighborhood of each of its points, then it has zero measure
 in a second-countable space. -/
@@ -769,7 +769,7 @@ end Basic
 
 section OfFunction
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:339:40: warning: unsupported option eqn_compiler.zeta -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:340:40: warning: unsupported option eqn_compiler.zeta -/
 set_option eqn_compiler.zeta true
 
 variable {α : Type _} (m : Set α → ℝ≥0∞) (m_empty : m ∅ = 0)
@@ -862,7 +862,7 @@ theorem ofFunction_eq_sSup : OuterMeasure.ofFunction m m_empty = sSup {μ | ∀
 #align measure_theory.outer_measure.of_function_eq_Sup MeasureTheory.OuterMeasure.ofFunction_eq_sSup
 -/
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:641:2: warning: expanding binder collection (u «expr ⊆ » «expr ∪ »(s, t)) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:642:2: warning: expanding binder collection (u «expr ⊆ » «expr ∪ »(s, t)) -/
 #print MeasureTheory.OuterMeasure.ofFunction_union_of_top_of_nonempty_inter /-
 /-- If `m u = ∞` for any set `u` that has nonempty intersection both with `s` and `t`, then
 `μ (s ∪ t) = μ s + μ t`, where `μ = measure_theory.outer_measure.of_function m m_empty`.

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

@@ -194,7 +194,7 @@ theorem exists_mem_forall_mem_nhds_within_pos [TopologicalSpace α] [SecondCount
     (m : OuterMeasure α) {s : Set α} (hs : m s ≠ 0) : ∃ x ∈ s, ∀ t ∈ 𝓝[s] x, 0 < m t :=
   by
   contrapose! hs
-  simp only [nonpos_iff_eq_zero, ← exists_prop] at hs 
+  simp only [nonpos_iff_eq_zero, ← exists_prop] at hs
   exact m.null_of_locally_null s hs
 #align measure_theory.outer_measure.exists_mem_forall_mem_nhds_within_pos MeasureTheory.OuterMeasure.exists_mem_forall_mem_nhds_within_pos
 -/
@@ -215,7 +215,7 @@ theorem iUnion_of_tendsto_zero {ι} (m : OuterMeasure α) {s : ι → Set α} (l
       _ ≤ m (s k) + m (S \ s k) := (m.union _ _)
       _ ≤ M + m (S \ s k) := add_le_add_right (le_iSup _ k) _
   have B : tendsto (fun k => M + m (S \ s k)) l (𝓝 (M + 0)) := tendsto_const_nhds.add h0
-  rw [add_zero] at B 
+  rw [add_zero] at B
   exact ge_of_tendsto' B A
 #align measure_theory.outer_measure.Union_of_tendsto_zero MeasureTheory.OuterMeasure.iUnion_of_tendsto_zero
 -/
@@ -472,7 +472,7 @@ theorem coe_iSup {ι} (f : ι → OuterMeasure α) : ⇑(⨆ i, f i) = ⨆ i, f
 #print MeasureTheory.OuterMeasure.sup_apply /-
 @[simp]
 theorem sup_apply (m₁ m₂ : OuterMeasure α) (s : Set α) : (m₁ ⊔ m₂) s = m₁ s ⊔ m₂ s := by
-  have := iSup_apply (fun b => cond b m₁ m₂) s <;> rwa [iSup_bool_eq, iSup_bool_eq] at this 
+  have := iSup_apply (fun b => cond b m₁ m₂) s <;> rwa [iSup_bool_eq, iSup_bool_eq] at this
 #align measure_theory.outer_measure.sup_apply MeasureTheory.OuterMeasure.sup_apply
 -/
 
@@ -915,7 +915,7 @@ theorem comap_ofFunction {β} (f : β → α) (h : Monotone m ∨ Surjective f)
   · rw [comap_apply, of_function_apply, of_function_apply]
     refine' iInf_mono' fun t => ⟨fun k => f ⁻¹' t k, _⟩
     refine' iInf_mono' fun ht => _
-    rw [Set.image_subset_iff, preimage_Union] at ht 
+    rw [Set.image_subset_iff, preimage_Union] at ht
     refine' ⟨ht, ENNReal.tsum_le_tsum fun n => _⟩
     cases h
     exacts [h (image_preimage_subset _ _), (congr_arg m (h.image_preimage (t n))).le]
@@ -1222,7 +1222,7 @@ theorem f_iUnion {s : ℕ → Set α} (h : ∀ i, is_caratheodory (s i)) (hd : P
   rw [ENNReal.tsum_eq_iSup_nat]
   refine' iSup_le fun n => _
   have := @is_caratheodory_sum _ m _ h hd univ n
-  simp at this ; simp [this]
+  simp at this; simp [this]
   exact m.mono (Union₂_subset fun i _ => subset_Union _ i)
 #align measure_theory.outer_measure.f_Union MeasureTheory.OuterMeasure.f_iUnion
 -/
@@ -1787,7 +1787,7 @@ theorem inducedOuterMeasure_exists_set {s : Set α} (hs : inducedOuterMeasure m
   conv at this =>
     lhs
     rw [induced_outer_measure_eq_infi _ msU m_mono]
-  simp only [iInf_lt_iff] at this 
+  simp only [iInf_lt_iff] at this
   rcases this with ⟨t, h1t, h2t, h3t⟩
   exact
     ⟨t, h1t, h2t, le_trans (le_of_eq <| induced_outer_measure_eq' _ msU m_mono h1t) (le_of_lt h3t)⟩
@@ -1844,7 +1844,7 @@ theorem extend_mono {s₁ s₂ : Set α} (h₁ : MeasurableSet s₁) (hs : s₁
   have :=
     extend_union MeasurableSet.empty m0 MeasurableSet.iUnion mU disjoint_sdiff_self_right h₁
       (h₂.diff h₁)
-  rw [union_diff_cancel hs] at this 
+  rw [union_diff_cancel hs] at this
   rw [← extend_eq m]
   exact le_iff_exists_add.2 ⟨_, this⟩
 #align measure_theory.extend_mono MeasureTheory.extend_mono
@@ -1990,7 +1990,7 @@ theorem exists_measurable_superset_eq_trim (m : OuterMeasure α) (s : Set α) :
   simp only [trim_eq_infi]; set ms := ⨅ (t : Set α) (st : s ⊆ t) (ht : MeasurableSet t), m t
   by_cases hs : ms = ∞
   · simp only [hs]
-    simp only [iInf_eq_top] at hs 
+    simp only [iInf_eq_top] at hs
     exact ⟨univ, subset_univ s, MeasurableSet.univ, hs _ (subset_univ s) MeasurableSet.univ⟩
   · have : ∀ r > ms, ∃ t, s ⊆ t ∧ MeasurableSet t ∧ m t < r :=
       by
@@ -2005,7 +2005,7 @@ theorem exists_measurable_superset_eq_trim (m : OuterMeasure α) (s : Set α) :
     refine' ⟨⋂ n, t n, subset_Inter hsub, MeasurableSet.iInter hm, _⟩
     have : tendsto (fun n : ℕ => ms + n⁻¹) at_top (𝓝 (ms + 0)) :=
       tendsto_const_nhds.add ENNReal.tendsto_inv_nat_nhds_zero
-    rw [add_zero] at this 
+    rw [add_zero] at this
     refine' le_antisymm (ge_of_tendsto' this fun n => _) _
     · exact le_trans (m.mono' <| Inter_subset t n) (hm' n).le
     · refine' iInf_le_of_le (⋂ n, t n) _
@@ -2044,7 +2044,7 @@ theorem trim_binop {m₁ m₂ m₃ : OuterMeasure α} {op : ℝ≥0∞ → ℝ
     (h : ∀ s, m₁ s = op (m₂ s) (m₃ s)) (s : Set α) : m₁.trim s = op (m₂.trim s) (m₃.trim s) :=
   by
   rcases exists_measurable_superset_forall_eq_trim ![m₁, m₂, m₃] s with ⟨t, hst, ht, htm⟩
-  simp only [Fin.forall_fin_succ, Matrix.cons_val_zero, Matrix.cons_val_succ] at htm 
+  simp only [Fin.forall_fin_succ, Matrix.cons_val_zero, Matrix.cons_val_succ] at htm
   rw [← htm.1, ← htm.2.1, ← htm.2.2.1, h]
 #align measure_theory.outer_measure.trim_binop MeasureTheory.OuterMeasure.trim_binop
 -/
@@ -2090,7 +2090,7 @@ theorem trim_iSup {ι} [Countable ι] (μ : ι → OuterMeasure α) : trim (⨆
   obtain ⟨t, hst, ht, hμt⟩ :=
     exists_measurable_superset_forall_eq_trim
       (Option.elim' (⨆ i, μ (PLift.down i)) (μ ∘ PLift.down)) s
-  simp only [Option.forall, Option.elim'] at hμt 
+  simp only [Option.forall, Option.elim'] at hμt
   simp only [iSup_apply, ← hμt.1, ← hμt.2]
 #align measure_theory.outer_measure.trim_supr MeasureTheory.OuterMeasure.trim_iSup
 -/
@@ -2104,7 +2104,7 @@ theorem restrict_trim {μ : OuterMeasure α} {s : Set α} (hs : MeasurableSet s)
   refine' le_antisymm (fun t => _) (le_trim_iff.2 fun t ht => _)
   · rw [restrict_apply]
     rcases μ.exists_measurable_superset_eq_trim (t ∩ s) with ⟨t', htt', ht', hμt'⟩
-    rw [← hμt']; rw [inter_subset] at htt' 
+    rw [← hμt']; rw [inter_subset] at htt'
     refine' (mono' _ htt').trans _
     rw [trim_eq _ (hs.compl.union ht'), restrict_apply, union_inter_distrib_right, compl_inter_self,
       Set.empty_union]

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

@@ -415,11 +415,11 @@ instance MeasureTheory.OuterMeasure.instPartialOrder : PartialOrder (OuterMeasur
 #align measure_theory.outer_measure.outer_measure.partial_order MeasureTheory.OuterMeasure.instPartialOrder
 -/
 
-#print MeasureTheory.OuterMeasure.OuterMeasure.orderBot /-
-instance OuterMeasure.orderBot : OrderBot (OuterMeasure α) :=
+#print MeasureTheory.OuterMeasure.orderBot /-
+instance MeasureTheory.OuterMeasure.orderBot : OrderBot (OuterMeasure α) :=
   { OuterMeasure.instBot with
     bot_le := fun a s => by simp only [coe_zero, Pi.zero_apply, coe_bot, zero_le] }
-#align measure_theory.outer_measure.outer_measure.order_bot MeasureTheory.OuterMeasure.OuterMeasure.orderBot
+#align measure_theory.outer_measure.outer_measure.order_bot MeasureTheory.OuterMeasure.orderBot
 -/
 
 #print MeasureTheory.OuterMeasure.univ_eq_zero_iff /-
@@ -443,7 +443,7 @@ instance : SupSet (OuterMeasure α) :=
               ENNReal.tsum_le_tsum fun i => le_iSup₂ m hm }⟩
 
 instance : CompleteLattice (OuterMeasure α) :=
-  { OuterMeasure.orderBot,
+  { MeasureTheory.OuterMeasure.orderBot,
     completeLatticeOfSup (OuterMeasure α) fun ms =>
       ⟨fun m hm s => le_iSup₂ m hm, fun m hm s => iSup₂_le fun m' hm' => hm hm' s⟩ with }
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/b1abe23ae96fef89ad30d9f4362c307f72a55010

@@ -1657,7 +1657,7 @@ theorem extend_iUnion_le_tsum_nat' (s : ℕ → Set α) : extend m (⋃ i, s i)
   · rw [extend_eq _ (PU h), congr_arg tsum _]
     · apply msU h
     funext i; apply extend_eq _ (h i)
-  · cases' not_forall.1 h with i hi
+  · cases' Classical.not_forall.1 h with i hi
     exact le_trans (le_iInf fun h => hi.elim h) (ENNReal.le_tsum i)
 #align measure_theory.extend_Union_le_tsum_nat' MeasureTheory.extend_iUnion_le_tsum_nat'
 -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451

@@ -3,10 +3,10 @@ Copyright (c) 2017 Johannes Hölzl. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Mario Carneiro
 -/
-import Mathbin.Analysis.SpecificLimits.Basic
-import Mathbin.MeasureTheory.PiSystem
-import Mathbin.Data.Countable.Basic
-import Mathbin.Data.Fin.VecNotation
+import Analysis.SpecificLimits.Basic
+import MeasureTheory.PiSystem
+import Data.Countable.Basic
+import Data.Fin.VecNotation
 
 #align_import measure_theory.measure.outer_measure from "leanprover-community/mathlib"@"343e80208d29d2d15f8050b929aa50fe4ce71b55"
 
@@ -173,7 +173,7 @@ protected theorem union (m : OuterMeasure α) (s₁ s₂ : Set α) : m (s₁ ∪
 #align measure_theory.outer_measure.union MeasureTheory.OuterMeasure.union
 -/
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (t «expr ⊆ » s) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:641:2: warning: expanding binder collection (t «expr ⊆ » s) -/
 #print MeasureTheory.OuterMeasure.null_of_locally_null /-
 /-- If a set has zero measure in a neighborhood of each of its points, then it has zero measure
 in a second-countable space. -/
@@ -769,7 +769,7 @@ end Basic
 
 section OfFunction
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:334:40: warning: unsupported option eqn_compiler.zeta -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:339:40: warning: unsupported option eqn_compiler.zeta -/
 set_option eqn_compiler.zeta true
 
 variable {α : Type _} (m : Set α → ℝ≥0∞) (m_empty : m ∅ = 0)
@@ -862,7 +862,7 @@ theorem ofFunction_eq_sSup : OuterMeasure.ofFunction m m_empty = sSup {μ | ∀
 #align measure_theory.outer_measure.of_function_eq_Sup MeasureTheory.OuterMeasure.ofFunction_eq_sSup
 -/
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (u «expr ⊆ » «expr ∪ »(s, t)) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:641:2: warning: expanding binder collection (u «expr ⊆ » «expr ∪ »(s, t)) -/
 #print MeasureTheory.OuterMeasure.ofFunction_union_of_top_of_nonempty_inter /-
 /-- If `m u = ∞` for any set `u` that has nonempty intersection both with `s` and `t`, then
 `μ (s ∪ t) = μ s + μ t`, where `μ = measure_theory.outer_measure.of_function m m_empty`.

mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345

@@ -2,17 +2,14 @@
 Copyright (c) 2017 Johannes Hölzl. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Mario Carneiro
-
-! This file was ported from Lean 3 source module measure_theory.measure.outer_measure
-! leanprover-community/mathlib commit 343e80208d29d2d15f8050b929aa50fe4ce71b55
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.SpecificLimits.Basic
 import Mathbin.MeasureTheory.PiSystem
 import Mathbin.Data.Countable.Basic
 import Mathbin.Data.Fin.VecNotation
 
+#align_import measure_theory.measure.outer_measure from "leanprover-community/mathlib"@"343e80208d29d2d15f8050b929aa50fe4ce71b55"
+
 /-!
 # Outer Measures
 
@@ -176,7 +173,7 @@ protected theorem union (m : OuterMeasure α) (s₁ s₂ : Set α) : m (s₁ ∪
 #align measure_theory.outer_measure.union MeasureTheory.OuterMeasure.union
 -/
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:638:2: warning: expanding binder collection (t «expr ⊆ » s) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (t «expr ⊆ » s) -/
 #print MeasureTheory.OuterMeasure.null_of_locally_null /-
 /-- If a set has zero measure in a neighborhood of each of its points, then it has zero measure
 in a second-countable space. -/
@@ -865,7 +862,7 @@ theorem ofFunction_eq_sSup : OuterMeasure.ofFunction m m_empty = sSup {μ | ∀
 #align measure_theory.outer_measure.of_function_eq_Sup MeasureTheory.OuterMeasure.ofFunction_eq_sSup
 -/
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:638:2: warning: expanding binder collection (u «expr ⊆ » «expr ∪ »(s, t)) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (u «expr ⊆ » «expr ∪ »(s, t)) -/
 #print MeasureTheory.OuterMeasure.ofFunction_union_of_top_of_nonempty_inter /-
 /-- If `m u = ∞` for any set `u` that has nonempty intersection both with `s` and `t`, then
 `μ (s ∪ t) = μ s + μ t`, where `μ = measure_theory.outer_measure.of_function m m_empty`.

mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423

@@ -93,39 +93,54 @@ theorem measureOf_eq_coe (m : OuterMeasure α) : m.measureOf = m :=
   rfl
 #align measure_theory.outer_measure.measure_of_eq_coe MeasureTheory.OuterMeasure.measureOf_eq_coe
 
+#print MeasureTheory.OuterMeasure.empty' /-
 @[simp]
 theorem empty' (m : OuterMeasure α) : m ∅ = 0 :=
   m.Empty
 #align measure_theory.outer_measure.empty' MeasureTheory.OuterMeasure.empty'
+-/
 
+#print MeasureTheory.OuterMeasure.mono' /-
 theorem mono' (m : OuterMeasure α) {s₁ s₂} (h : s₁ ⊆ s₂) : m s₁ ≤ m s₂ :=
   m.mono h
 #align measure_theory.outer_measure.mono' MeasureTheory.OuterMeasure.mono'
+-/
 
+#print MeasureTheory.OuterMeasure.mono_null /-
 theorem mono_null (m : OuterMeasure α) {s t} (h : s ⊆ t) (ht : m t = 0) : m s = 0 :=
   nonpos_iff_eq_zero.mp <| ht ▸ m.mono' h
 #align measure_theory.outer_measure.mono_null MeasureTheory.OuterMeasure.mono_null
+-/
 
+#print MeasureTheory.OuterMeasure.pos_of_subset_ne_zero /-
 theorem pos_of_subset_ne_zero (m : OuterMeasure α) {a b : Set α} (hs : a ⊆ b) (hnz : m a ≠ 0) :
     0 < m b :=
   lt_of_lt_of_le (pos_iff_ne_zero.mpr hnz) (m.mono hs)
 #align measure_theory.outer_measure.pos_of_subset_ne_zero MeasureTheory.OuterMeasure.pos_of_subset_ne_zero
+-/
 
+#print MeasureTheory.OuterMeasure.iUnion /-
 protected theorem iUnion (m : OuterMeasure α) {β} [Countable β] (s : β → Set α) :
     m (⋃ i, s i) ≤ ∑' i, m (s i) :=
   rel_iSup_tsum m m.Empty (· ≤ ·) m.iUnion_nat s
 #align measure_theory.outer_measure.Union MeasureTheory.OuterMeasure.iUnion
+-/
 
+#print MeasureTheory.OuterMeasure.iUnion_null /-
 theorem iUnion_null [Countable β] (m : OuterMeasure α) {s : β → Set α} (h : ∀ i, m (s i) = 0) :
     m (⋃ i, s i) = 0 := by simpa [h] using m.Union s
 #align measure_theory.outer_measure.Union_null MeasureTheory.OuterMeasure.iUnion_null
+-/
 
+#print MeasureTheory.OuterMeasure.iUnion_null_iff /-
 @[simp]
 theorem iUnion_null_iff [Countable β] (m : OuterMeasure α) {s : β → Set α} :
     m (⋃ i, s i) = 0 ↔ ∀ i, m (s i) = 0 :=
   ⟨fun h i => m.mono_null (subset_iUnion _ _) h, m.iUnion_null⟩
 #align measure_theory.outer_measure.Union_null_iff MeasureTheory.OuterMeasure.iUnion_null_iff
+-/
 
+#print MeasureTheory.OuterMeasure.iUnion_null_iff' /-
 /-- A version of `Union_null_iff` for unions indexed by Props.
 TODO: in the long run it would be better to combine this with `Union_null_iff` by
 generalising to `Sort`. -/
@@ -133,26 +148,36 @@ generalising to `Sort`. -/
 theorem iUnion_null_iff' (m : OuterMeasure α) {ι : Prop} {s : ι → Set α} :
     m (⋃ i, s i) = 0 ↔ ∀ i, m (s i) = 0 := by by_cases i : ι <;> simp [i]
 #align measure_theory.outer_measure.Union_null_iff' MeasureTheory.OuterMeasure.iUnion_null_iff'
+-/
 
+#print MeasureTheory.OuterMeasure.biUnion_null_iff /-
 theorem biUnion_null_iff (m : OuterMeasure α) {s : Set β} (hs : s.Countable) {t : β → Set α} :
     m (⋃ i ∈ s, t i) = 0 ↔ ∀ i ∈ s, m (t i) = 0 := by haveI := hs.to_encodable;
   rw [bUnion_eq_Union, Union_null_iff, SetCoe.forall']
 #align measure_theory.outer_measure.bUnion_null_iff MeasureTheory.OuterMeasure.biUnion_null_iff
+-/
 
+#print MeasureTheory.OuterMeasure.sUnion_null_iff /-
 theorem sUnion_null_iff (m : OuterMeasure α) {S : Set (Set α)} (hS : S.Countable) :
     m (⋃₀ S) = 0 ↔ ∀ s ∈ S, m s = 0 := by rw [sUnion_eq_bUnion, m.bUnion_null_iff hS]
 #align measure_theory.outer_measure.sUnion_null_iff MeasureTheory.OuterMeasure.sUnion_null_iff
+-/
 
+#print MeasureTheory.OuterMeasure.iUnion_finset /-
 protected theorem iUnion_finset (m : OuterMeasure α) (s : β → Set α) (t : Finset β) :
     m (⋃ i ∈ t, s i) ≤ ∑ i in t, m (s i) :=
   rel_iSup_sum m m.Empty (· ≤ ·) m.iUnion_nat s t
 #align measure_theory.outer_measure.Union_finset MeasureTheory.OuterMeasure.iUnion_finset
+-/
 
+#print MeasureTheory.OuterMeasure.union /-
 protected theorem union (m : OuterMeasure α) (s₁ s₂ : Set α) : m (s₁ ∪ s₂) ≤ m s₁ + m s₂ :=
   rel_sup_add m m.Empty (· ≤ ·) m.iUnion_nat s₁ s₂
 #align measure_theory.outer_measure.union MeasureTheory.OuterMeasure.union
+-/
 
 /- ./././Mathport/Syntax/Translate/Basic.lean:638:2: warning: expanding binder collection (t «expr ⊆ » s) -/
+#print MeasureTheory.OuterMeasure.null_of_locally_null /-
 /-- If a set has zero measure in a neighborhood of each of its points, then it has zero measure
 in a second-countable space. -/
 theorem null_of_locally_null [TopologicalSpace α] [SecondCountableTopology α] (m : OuterMeasure α)
@@ -164,7 +189,9 @@ theorem null_of_locally_null [TopologicalSpace α] [SecondCountableTopology α]
   apply m.mono_null ht
   exact (m.bUnion_null_iff t_count).2 fun x hx => hu₀ x (ts hx)
 #align measure_theory.outer_measure.null_of_locally_null MeasureTheory.OuterMeasure.null_of_locally_null
+-/
 
+#print MeasureTheory.OuterMeasure.exists_mem_forall_mem_nhds_within_pos /-
 /-- If `m s ≠ 0`, then for some point `x ∈ s` and any `t ∈ 𝓝[s] x` we have `0 < m t`. -/
 theorem exists_mem_forall_mem_nhds_within_pos [TopologicalSpace α] [SecondCountableTopology α]
     (m : OuterMeasure α) {s : Set α} (hs : m s ≠ 0) : ∃ x ∈ s, ∀ t ∈ 𝓝[s] x, 0 < m t :=
@@ -173,7 +200,9 @@ theorem exists_mem_forall_mem_nhds_within_pos [TopologicalSpace α] [SecondCount
   simp only [nonpos_iff_eq_zero, ← exists_prop] at hs 
   exact m.null_of_locally_null s hs
 #align measure_theory.outer_measure.exists_mem_forall_mem_nhds_within_pos MeasureTheory.OuterMeasure.exists_mem_forall_mem_nhds_within_pos
+-/
 
+#print MeasureTheory.OuterMeasure.iUnion_of_tendsto_zero /-
 /-- If `s : ι → set α` is a sequence of sets, `S = ⋃ n, s n`, and `m (S \ s n)` tends to zero along
 some nontrivial filter (usually `at_top` on `ι = ℕ`), then `m S = ⨆ n, m (s n)`. -/
 theorem iUnion_of_tendsto_zero {ι} (m : OuterMeasure α) {s : ι → Set α} (l : Filter ι) [NeBot l]
@@ -192,7 +221,9 @@ theorem iUnion_of_tendsto_zero {ι} (m : OuterMeasure α) {s : ι → Set α} (l
   rw [add_zero] at B 
   exact ge_of_tendsto' B A
 #align measure_theory.outer_measure.Union_of_tendsto_zero MeasureTheory.OuterMeasure.iUnion_of_tendsto_zero
+-/
 
+#print MeasureTheory.OuterMeasure.iUnion_nat_of_monotone_of_tsum_ne_top /-
 /-- If `s : ℕ → set α` is a monotone sequence of sets such that `∑' k, m (s (k + 1) \ s k) ≠ ∞`,
 then `m (⋃ n, s n) = ⨆ n, m (s n)`. -/
 theorem iUnion_nat_of_monotone_of_tsum_ne_top (m : OuterMeasure α) {s : ℕ → Set α}
@@ -213,11 +244,15 @@ theorem iUnion_nat_of_monotone_of_tsum_ne_top (m : OuterMeasure α) {s : ℕ →
   · rwa [this]
   · rw [← Nat.succ_le_iff, Nat.succ_eq_add_one, this]
 #align measure_theory.outer_measure.Union_nat_of_monotone_of_tsum_ne_top MeasureTheory.OuterMeasure.iUnion_nat_of_monotone_of_tsum_ne_top
+-/
 
+#print MeasureTheory.OuterMeasure.le_inter_add_diff /-
 theorem le_inter_add_diff {m : OuterMeasure α} {t : Set α} (s : Set α) :
     m t ≤ m (t ∩ s) + m (t \ s) := by convert m.union _ _; rw [inter_union_diff t s]
 #align measure_theory.outer_measure.le_inter_add_diff MeasureTheory.OuterMeasure.le_inter_add_diff
+-/
 
+#print MeasureTheory.OuterMeasure.diff_null /-
 theorem diff_null (m : OuterMeasure α) (s : Set α) {t : Set α} (ht : m t = 0) : m (s \ t) = m s :=
   by
   refine' le_antisymm (m.mono <| diff_subset _ _) _
@@ -226,10 +261,13 @@ theorem diff_null (m : OuterMeasure α) (s : Set α) {t : Set α} (ht : m t = 0)
     _ ≤ m t + m (s \ t) := (add_le_add_right (m.mono <| inter_subset_right _ _) _)
     _ = m (s \ t) := by rw [ht, zero_add]
 #align measure_theory.outer_measure.diff_null MeasureTheory.OuterMeasure.diff_null
+-/
 
+#print MeasureTheory.OuterMeasure.union_null /-
 theorem union_null (m : OuterMeasure α) {s₁ s₂ : Set α} (h₁ : m s₁ = 0) (h₂ : m s₂ = 0) :
     m (s₁ ∪ s₂) = 0 := by simpa [h₁, h₂] using m.union s₁ s₂
 #align measure_theory.outer_measure.union_null MeasureTheory.OuterMeasure.union_null
+-/
 
 #print MeasureTheory.OuterMeasure.coe_fn_injective /-
 theorem coe_fn_injective : Injective fun (μ : OuterMeasure α) (s : Set α) => μ s := fun μ₁ μ₂ h =>
@@ -259,10 +297,12 @@ instance : Zero (OuterMeasure α) :=
       mono := fun _ _ _ => le_refl 0
       iUnion_nat := fun s => zero_le _ }⟩
 
+#print MeasureTheory.OuterMeasure.coe_zero /-
 @[simp]
 theorem coe_zero : ⇑(0 : OuterMeasure α) = 0 :=
   rfl
 #align measure_theory.outer_measure.coe_zero MeasureTheory.OuterMeasure.coe_zero
+-/
 
 instance : Inhabited (OuterMeasure α) :=
   ⟨0⟩
@@ -278,14 +318,18 @@ instance : Add (OuterMeasure α) :=
             add_le_add (m₁.iUnion_nat s) (m₂.iUnion_nat s)
           _ = _ := ENNReal.tsum_add.symm }⟩
 
+#print MeasureTheory.OuterMeasure.coe_add /-
 @[simp]
 theorem coe_add (m₁ m₂ : OuterMeasure α) : ⇑(m₁ + m₂) = m₁ + m₂ :=
   rfl
 #align measure_theory.outer_measure.coe_add MeasureTheory.OuterMeasure.coe_add
+-/
 
+#print MeasureTheory.OuterMeasure.add_apply /-
 theorem add_apply (m₁ m₂ : OuterMeasure α) (s : Set α) : (m₁ + m₂) s = m₁ s + m₂ s :=
   rfl
 #align measure_theory.outer_measure.add_apply MeasureTheory.OuterMeasure.add_apply
+-/
 
 section SMul
 
@@ -305,14 +349,18 @@ instance : SMul R (OuterMeasure α) :=
         simp_rw [← smul_one_mul c (m _), ENNReal.tsum_mul_left]
         exact ENNReal.mul_left_mono (m.Union _) }⟩
 
+#print MeasureTheory.OuterMeasure.coe_smul /-
 @[simp]
 theorem coe_smul (c : R) (m : OuterMeasure α) : ⇑(c • m) = c • m :=
   rfl
 #align measure_theory.outer_measure.coe_smul MeasureTheory.OuterMeasure.coe_smul
+-/
 
+#print MeasureTheory.OuterMeasure.smul_apply /-
 theorem smul_apply (c : R) (m : OuterMeasure α) (s : Set α) : (c • m) s = c • m s :=
   rfl
 #align measure_theory.outer_measure.smul_apply MeasureTheory.OuterMeasure.smul_apply
+-/
 
 instance [SMulCommClass R R' ℝ≥0∞] : SMulCommClass R R' (OuterMeasure α) :=
   ⟨fun _ _ _ => ext fun _ => smul_comm _ _ _⟩
@@ -377,9 +425,11 @@ instance OuterMeasure.orderBot : OrderBot (OuterMeasure α) :=
 #align measure_theory.outer_measure.outer_measure.order_bot MeasureTheory.OuterMeasure.OuterMeasure.orderBot
 -/
 
+#print MeasureTheory.OuterMeasure.univ_eq_zero_iff /-
 theorem univ_eq_zero_iff (m : OuterMeasure α) : m univ = 0 ↔ m = 0 :=
   ⟨fun h => bot_unique fun s => (m.mono' <| subset_univ s).trans_eq h, fun h => h.symm ▸ rfl⟩
 #align measure_theory.outer_measure.univ_eq_zero_iff MeasureTheory.OuterMeasure.univ_eq_zero_iff
+-/
 
 section Supremum
 
@@ -400,40 +450,53 @@ instance : CompleteLattice (OuterMeasure α) :=
     completeLatticeOfSup (OuterMeasure α) fun ms =>
       ⟨fun m hm s => le_iSup₂ m hm, fun m hm s => iSup₂_le fun m' hm' => hm hm' s⟩ with }
 
+#print MeasureTheory.OuterMeasure.sSup_apply /-
 @[simp]
 theorem sSup_apply (ms : Set (OuterMeasure α)) (s : Set α) :
     (sSup ms) s = ⨆ m ∈ ms, (m : OuterMeasure α) s :=
   rfl
 #align measure_theory.outer_measure.Sup_apply MeasureTheory.OuterMeasure.sSup_apply
+-/
 
+#print MeasureTheory.OuterMeasure.iSup_apply /-
 @[simp]
 theorem iSup_apply {ι} (f : ι → OuterMeasure α) (s : Set α) : (⨆ i : ι, f i) s = ⨆ i, f i s := by
   rw [iSup, sSup_apply, iSup_range, iSup]
 #align measure_theory.outer_measure.supr_apply MeasureTheory.OuterMeasure.iSup_apply
+-/
 
+#print MeasureTheory.OuterMeasure.coe_iSup /-
 @[norm_cast]
 theorem coe_iSup {ι} (f : ι → OuterMeasure α) : ⇑(⨆ i, f i) = ⨆ i, f i :=
   funext fun s => by rw [iSup_apply, _root_.supr_apply]
 #align measure_theory.outer_measure.coe_supr MeasureTheory.OuterMeasure.coe_iSup
+-/
 
+#print MeasureTheory.OuterMeasure.sup_apply /-
 @[simp]
 theorem sup_apply (m₁ m₂ : OuterMeasure α) (s : Set α) : (m₁ ⊔ m₂) s = m₁ s ⊔ m₂ s := by
   have := iSup_apply (fun b => cond b m₁ m₂) s <;> rwa [iSup_bool_eq, iSup_bool_eq] at this 
 #align measure_theory.outer_measure.sup_apply MeasureTheory.OuterMeasure.sup_apply
+-/
 
+#print MeasureTheory.OuterMeasure.smul_iSup /-
 theorem smul_iSup [SMul R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞] {ι} (f : ι → OuterMeasure α) (c : R) :
     (c • ⨆ i, f i) = ⨆ i, c • f i :=
   ext fun s => by simp only [smul_apply, iSup_apply, ENNReal.smul_iSup]
 #align measure_theory.outer_measure.smul_supr MeasureTheory.OuterMeasure.smul_iSup
+-/
 
 end Supremum
 
+#print MeasureTheory.OuterMeasure.mono'' /-
 @[mono]
 theorem mono'' {m₁ m₂ : OuterMeasure α} {s₁ s₂ : Set α} (hm : m₁ ≤ m₂) (hs : s₁ ⊆ s₂) :
     m₁ s₁ ≤ m₂ s₂ :=
   (hm s₁).trans (m₂.mono hs)
 #align measure_theory.outer_measure.mono'' MeasureTheory.OuterMeasure.mono''
+-/
 
+#print MeasureTheory.OuterMeasure.map /-
 /-- The pushforward of `m` along `f`. The outer measure on `s` is defined to be `m (f ⁻¹' s)`. -/
 def map {β} (f : α → β) : OuterMeasure α →ₗ[ℝ≥0∞] OuterMeasure β
     where
@@ -445,36 +508,49 @@ def map {β} (f : α → β) : OuterMeasure α →ₗ[ℝ≥0∞] OuterMeasure 
   map_add' m₁ m₂ := coe_fn_injective rfl
   map_smul' c m := coe_fn_injective rfl
 #align measure_theory.outer_measure.map MeasureTheory.OuterMeasure.map
+-/
 
+#print MeasureTheory.OuterMeasure.map_apply /-
 @[simp]
 theorem map_apply {β} (f : α → β) (m : OuterMeasure α) (s : Set β) : map f m s = m (f ⁻¹' s) :=
   rfl
 #align measure_theory.outer_measure.map_apply MeasureTheory.OuterMeasure.map_apply
+-/
 
+#print MeasureTheory.OuterMeasure.map_id /-
 @[simp]
 theorem map_id (m : OuterMeasure α) : map id m = m :=
   ext fun s => rfl
 #align measure_theory.outer_measure.map_id MeasureTheory.OuterMeasure.map_id
+-/
 
+#print MeasureTheory.OuterMeasure.map_map /-
 @[simp]
 theorem map_map {β γ} (f : α → β) (g : β → γ) (m : OuterMeasure α) :
     map g (map f m) = map (g ∘ f) m :=
   ext fun s => rfl
 #align measure_theory.outer_measure.map_map MeasureTheory.OuterMeasure.map_map
+-/
 
+#print MeasureTheory.OuterMeasure.map_mono /-
 @[mono]
 theorem map_mono {β} (f : α → β) : Monotone (map f) := fun m m' h s => h _
 #align measure_theory.outer_measure.map_mono MeasureTheory.OuterMeasure.map_mono
+-/
 
+#print MeasureTheory.OuterMeasure.map_sup /-
 @[simp]
 theorem map_sup {β} (f : α → β) (m m' : OuterMeasure α) : map f (m ⊔ m') = map f m ⊔ map f m' :=
   ext fun s => by simp only [map_apply, sup_apply]
 #align measure_theory.outer_measure.map_sup MeasureTheory.OuterMeasure.map_sup
+-/
 
+#print MeasureTheory.OuterMeasure.map_iSup /-
 @[simp]
 theorem map_iSup {β ι} (f : α → β) (m : ι → OuterMeasure α) : map f (⨆ i, m i) = ⨆ i, map f (m i) :=
   ext fun s => by simp only [map_apply, iSup_apply]
 #align measure_theory.outer_measure.map_supr MeasureTheory.OuterMeasure.map_iSup
+-/
 
 instance : Functor OuterMeasure where map α β f := map f
 
@@ -501,10 +577,12 @@ def dirac (a : α) : OuterMeasure α
 #align measure_theory.outer_measure.dirac MeasureTheory.OuterMeasure.dirac
 -/
 
+#print MeasureTheory.OuterMeasure.dirac_apply /-
 @[simp]
 theorem dirac_apply (a : α) (s : Set α) : dirac a s = indicator s (fun _ => 1) a :=
   rfl
 #align measure_theory.outer_measure.dirac_apply MeasureTheory.OuterMeasure.dirac_apply
+-/
 
 #print MeasureTheory.OuterMeasure.sum /-
 /-- The sum of an (arbitrary) collection of outer measures. -/
@@ -518,16 +596,21 @@ def sum {ι} (f : ι → OuterMeasure α) : OuterMeasure α
 #align measure_theory.outer_measure.sum MeasureTheory.OuterMeasure.sum
 -/
 
+#print MeasureTheory.OuterMeasure.sum_apply /-
 @[simp]
 theorem sum_apply {ι} (f : ι → OuterMeasure α) (s : Set α) : sum f s = ∑' i, f i s :=
   rfl
 #align measure_theory.outer_measure.sum_apply MeasureTheory.OuterMeasure.sum_apply
+-/
 
+#print MeasureTheory.OuterMeasure.smul_dirac_apply /-
 theorem smul_dirac_apply (a : ℝ≥0∞) (b : α) (s : Set α) :
     (a • dirac b) s = indicator s (fun _ => a) b := by
   simp only [smul_apply, smul_eq_mul, dirac_apply, ← indicator_mul_right _ fun _ => a, mul_one]
 #align measure_theory.outer_measure.smul_dirac_apply MeasureTheory.OuterMeasure.smul_dirac_apply
+-/
 
+#print MeasureTheory.OuterMeasure.comap /-
 /-- Pullback of an `outer_measure`: `comap f μ s = μ (f '' s)`. -/
 def comap {β} (f : α → β) : OuterMeasure β →ₗ[ℝ≥0∞] OuterMeasure α
     where
@@ -539,108 +622,151 @@ def comap {β} (f : α → β) : OuterMeasure β →ₗ[ℝ≥0∞] OuterMeasure
   map_add' m₁ m₂ := rfl
   map_smul' c m := rfl
 #align measure_theory.outer_measure.comap MeasureTheory.OuterMeasure.comap
+-/
 
+#print MeasureTheory.OuterMeasure.comap_apply /-
 @[simp]
 theorem comap_apply {β} (f : α → β) (m : OuterMeasure β) (s : Set α) : comap f m s = m (f '' s) :=
   rfl
 #align measure_theory.outer_measure.comap_apply MeasureTheory.OuterMeasure.comap_apply
+-/
 
+#print MeasureTheory.OuterMeasure.comap_mono /-
 @[mono]
 theorem comap_mono {β} (f : α → β) : Monotone (comap f) := fun m m' h s => h _
 #align measure_theory.outer_measure.comap_mono MeasureTheory.OuterMeasure.comap_mono
+-/
 
+#print MeasureTheory.OuterMeasure.comap_iSup /-
 @[simp]
 theorem comap_iSup {β ι} (f : α → β) (m : ι → OuterMeasure β) :
     comap f (⨆ i, m i) = ⨆ i, comap f (m i) :=
   ext fun s => by simp only [comap_apply, iSup_apply]
 #align measure_theory.outer_measure.comap_supr MeasureTheory.OuterMeasure.comap_iSup
+-/
 
+#print MeasureTheory.OuterMeasure.restrict /-
 /-- Restrict an `outer_measure` to a set. -/
 def restrict (s : Set α) : OuterMeasure α →ₗ[ℝ≥0∞] OuterMeasure α :=
   (map coe).comp (comap (coe : s → α))
 #align measure_theory.outer_measure.restrict MeasureTheory.OuterMeasure.restrict
+-/
 
+#print MeasureTheory.OuterMeasure.restrict_apply /-
 @[simp]
 theorem restrict_apply (s t : Set α) (m : OuterMeasure α) : restrict s m t = m (t ∩ s) := by
   simp [restrict]
 #align measure_theory.outer_measure.restrict_apply MeasureTheory.OuterMeasure.restrict_apply
+-/
 
+#print MeasureTheory.OuterMeasure.restrict_mono /-
 @[mono]
 theorem restrict_mono {s t : Set α} (h : s ⊆ t) {m m' : OuterMeasure α} (hm : m ≤ m') :
     restrict s m ≤ restrict t m' := fun u => by simp only [restrict_apply];
   exact (hm _).trans (m'.mono <| inter_subset_inter_right _ h)
 #align measure_theory.outer_measure.restrict_mono MeasureTheory.OuterMeasure.restrict_mono
+-/
 
+#print MeasureTheory.OuterMeasure.restrict_univ /-
 @[simp]
 theorem restrict_univ (m : OuterMeasure α) : restrict univ m = m :=
   ext fun s => by simp
 #align measure_theory.outer_measure.restrict_univ MeasureTheory.OuterMeasure.restrict_univ
+-/
 
+#print MeasureTheory.OuterMeasure.restrict_empty /-
 @[simp]
 theorem restrict_empty (m : OuterMeasure α) : restrict ∅ m = 0 :=
   ext fun s => by simp
 #align measure_theory.outer_measure.restrict_empty MeasureTheory.OuterMeasure.restrict_empty
+-/
 
+#print MeasureTheory.OuterMeasure.restrict_iSup /-
 @[simp]
 theorem restrict_iSup {ι} (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨆ i, m i) = ⨆ i, restrict s (m i) := by simp [restrict]
 #align measure_theory.outer_measure.restrict_supr MeasureTheory.OuterMeasure.restrict_iSup
+-/
 
+#print MeasureTheory.OuterMeasure.map_comap /-
 theorem map_comap {β} (f : α → β) (m : OuterMeasure β) : map f (comap f m) = restrict (range f) m :=
   ext fun s => congr_arg m <| by simp only [image_preimage_eq_inter_range, Subtype.range_coe]
 #align measure_theory.outer_measure.map_comap MeasureTheory.OuterMeasure.map_comap
+-/
 
+#print MeasureTheory.OuterMeasure.map_comap_le /-
 theorem map_comap_le {β} (f : α → β) (m : OuterMeasure β) : map f (comap f m) ≤ m := fun s =>
   m.mono <| image_preimage_subset _ _
 #align measure_theory.outer_measure.map_comap_le MeasureTheory.OuterMeasure.map_comap_le
+-/
 
+#print MeasureTheory.OuterMeasure.restrict_le_self /-
 theorem restrict_le_self (m : OuterMeasure α) (s : Set α) : restrict s m ≤ m :=
   map_comap_le _ _
 #align measure_theory.outer_measure.restrict_le_self MeasureTheory.OuterMeasure.restrict_le_self
+-/
 
+#print MeasureTheory.OuterMeasure.map_le_restrict_range /-
 @[simp]
 theorem map_le_restrict_range {β} {ma : OuterMeasure α} {mb : OuterMeasure β} {f : α → β} :
     map f ma ≤ restrict (range f) mb ↔ map f ma ≤ mb :=
   ⟨fun h => h.trans (restrict_le_self _ _), fun h s => by simpa using h (s ∩ range f)⟩
 #align measure_theory.outer_measure.map_le_restrict_range MeasureTheory.OuterMeasure.map_le_restrict_range
+-/
 
+#print MeasureTheory.OuterMeasure.map_comap_of_surjective /-
 theorem map_comap_of_surjective {β} {f : α → β} (hf : Surjective f) (m : OuterMeasure β) :
     map f (comap f m) = m :=
   ext fun s => by rw [map_apply, comap_apply, hf.image_preimage]
 #align measure_theory.outer_measure.map_comap_of_surjective MeasureTheory.OuterMeasure.map_comap_of_surjective
+-/
 
+#print MeasureTheory.OuterMeasure.le_comap_map /-
 theorem le_comap_map {β} (f : α → β) (m : OuterMeasure α) : m ≤ comap f (map f m) := fun s =>
   m.mono <| subset_preimage_image _ _
 #align measure_theory.outer_measure.le_comap_map MeasureTheory.OuterMeasure.le_comap_map
+-/
 
+#print MeasureTheory.OuterMeasure.comap_map /-
 theorem comap_map {β} {f : α → β} (hf : Injective f) (m : OuterMeasure α) : comap f (map f m) = m :=
   ext fun s => by rw [comap_apply, map_apply, hf.preimage_image]
 #align measure_theory.outer_measure.comap_map MeasureTheory.OuterMeasure.comap_map
+-/
 
+#print MeasureTheory.OuterMeasure.top_apply /-
 @[simp]
 theorem top_apply {s : Set α} (h : s.Nonempty) : (⊤ : OuterMeasure α) s = ∞ :=
   let ⟨a, as⟩ := h
   top_unique <| le_trans (by simp [smul_dirac_apply, as]) (le_iSup₂ (∞ • dirac a) trivial)
 #align measure_theory.outer_measure.top_apply MeasureTheory.OuterMeasure.top_apply
+-/
 
+#print MeasureTheory.OuterMeasure.top_apply' /-
 theorem top_apply' (s : Set α) : (⊤ : OuterMeasure α) s = ⨅ h : s = ∅, 0 :=
   s.eq_empty_or_nonempty.elim (fun h => by simp [h]) fun h => by simp [h, h.ne_empty]
 #align measure_theory.outer_measure.top_apply' MeasureTheory.OuterMeasure.top_apply'
+-/
 
+#print MeasureTheory.OuterMeasure.comap_top /-
 @[simp]
 theorem comap_top (f : α → β) : comap f ⊤ = ⊤ :=
   ext_nonempty fun s hs => by rw [comap_apply, top_apply hs, top_apply (hs.image _)]
 #align measure_theory.outer_measure.comap_top MeasureTheory.OuterMeasure.comap_top
+-/
 
+#print MeasureTheory.OuterMeasure.map_top /-
 theorem map_top (f : α → β) : map f ⊤ = restrict (range f) ⊤ :=
   ext fun s => by
     rw [map_apply, restrict_apply, ← image_preimage_eq_inter_range, top_apply', top_apply',
       Set.image_eq_empty]
 #align measure_theory.outer_measure.map_top MeasureTheory.OuterMeasure.map_top
+-/
 
+#print MeasureTheory.OuterMeasure.map_top_of_surjective /-
 theorem map_top_of_surjective (f : α → β) (hf : Surjective f) : map f ⊤ = ⊤ := by
   rw [map_top, hf.range_eq, restrict_univ]
 #align measure_theory.outer_measure.map_top_of_surjective MeasureTheory.OuterMeasure.map_top_of_surjective
+-/
 
 end Basic
 
@@ -651,8 +777,7 @@ set_option eqn_compiler.zeta true
 
 variable {α : Type _} (m : Set α → ℝ≥0∞) (m_empty : m ∅ = 0)
 
-include m_empty
-
+#print MeasureTheory.OuterMeasure.ofFunction /-
 /-- Given any function `m` assigning measures to sets satisying `m ∅ = 0`, there is
   a unique maximal outer measure `μ` satisfying `μ s ≤ m s` for all `s : set α`. -/
 protected def ofFunction : OuterMeasure α :=
@@ -688,28 +813,36 @@ protected def ofFunction : OuterMeasure α :=
               Union_subset fun j =>
                 subset.trans (by simp) <| subset_Union _ <| Nat.pairEquiv (i, j) }
 #align measure_theory.outer_measure.of_function MeasureTheory.OuterMeasure.ofFunction
+-/
 
+#print MeasureTheory.OuterMeasure.ofFunction_apply /-
 theorem ofFunction_apply (s : Set α) :
     OuterMeasure.ofFunction m m_empty s = ⨅ (t : ℕ → Set α) (h : s ⊆ iUnion t), ∑' n, m (t n) :=
   rfl
 #align measure_theory.outer_measure.of_function_apply MeasureTheory.OuterMeasure.ofFunction_apply
+-/
 
 variable {m m_empty}
 
+#print MeasureTheory.OuterMeasure.ofFunction_le /-
 theorem ofFunction_le (s : Set α) : OuterMeasure.ofFunction m m_empty s ≤ m s :=
   let f : ℕ → Set α := fun i => Nat.casesOn i s fun _ => ∅
   iInf_le_of_le f <|
     iInf_le_of_le (subset_iUnion f 0) <|
       le_of_eq <| tsum_eq_single 0 <| by rintro (_ | i) <;> simp [f, m_empty]
 #align measure_theory.outer_measure.of_function_le MeasureTheory.OuterMeasure.ofFunction_le
+-/
 
+#print MeasureTheory.OuterMeasure.ofFunction_eq /-
 theorem ofFunction_eq (s : Set α) (m_mono : ∀ ⦃t : Set α⦄, s ⊆ t → m s ≤ m t)
     (m_subadd : ∀ s : ℕ → Set α, m (⋃ i, s i) ≤ ∑' i, m (s i)) :
     OuterMeasure.ofFunction m m_empty s = m s :=
   le_antisymm (ofFunction_le s) <|
     le_iInf fun f => le_iInf fun hf => le_trans (m_mono hf) (m_subadd f)
 #align measure_theory.outer_measure.of_function_eq MeasureTheory.OuterMeasure.ofFunction_eq
+-/
 
+#print MeasureTheory.OuterMeasure.le_ofFunction /-
 theorem le_ofFunction {μ : OuterMeasure α} :
     μ ≤ OuterMeasure.ofFunction m m_empty ↔ ∀ s, μ s ≤ m s :=
   ⟨fun H s => le_trans (H s) (ofFunction_le s), fun H s =>
@@ -717,17 +850,23 @@ theorem le_ofFunction {μ : OuterMeasure α} :
       le_iInf fun hs =>
         le_trans (μ.mono hs) <| le_trans (μ.iUnion f) <| ENNReal.tsum_le_tsum fun i => H _⟩
 #align measure_theory.outer_measure.le_of_function MeasureTheory.OuterMeasure.le_ofFunction
+-/
 
+#print MeasureTheory.OuterMeasure.isGreatest_ofFunction /-
 theorem isGreatest_ofFunction :
     IsGreatest {μ : OuterMeasure α | ∀ s, μ s ≤ m s} (OuterMeasure.ofFunction m m_empty) :=
   ⟨fun s => ofFunction_le _, fun μ => le_ofFunction.2⟩
 #align measure_theory.outer_measure.is_greatest_of_function MeasureTheory.OuterMeasure.isGreatest_ofFunction
+-/
 
+#print MeasureTheory.OuterMeasure.ofFunction_eq_sSup /-
 theorem ofFunction_eq_sSup : OuterMeasure.ofFunction m m_empty = sSup {μ | ∀ s, μ s ≤ m s} :=
   (@isGreatest_ofFunction α m m_empty).IsLUB.sSup_eq.symm
 #align measure_theory.outer_measure.of_function_eq_Sup MeasureTheory.OuterMeasure.ofFunction_eq_sSup
+-/
 
 /- ./././Mathport/Syntax/Translate/Basic.lean:638:2: warning: expanding binder collection (u «expr ⊆ » «expr ∪ »(s, t)) -/
+#print MeasureTheory.OuterMeasure.ofFunction_union_of_top_of_nonempty_inter /-
 /-- If `m u = ∞` for any set `u` that has nonempty intersection both with `s` and `t`, then
 `μ (s ∪ t) = μ s + μ t`, where `μ = measure_theory.outer_measure.of_function m m_empty`.
 
@@ -767,7 +906,9 @@ theorem ofFunction_union_of_top_of_nonempty_inter {s t : Set α}
         ENNReal.summable ENNReal.summable)
     _ ≤ ∑' i, m (f i) := ENNReal.tsum_le_tsum fun i => of_function_le _
 #align measure_theory.outer_measure.of_function_union_of_top_of_nonempty_inter MeasureTheory.OuterMeasure.ofFunction_union_of_top_of_nonempty_inter
+-/
 
+#print MeasureTheory.OuterMeasure.comap_ofFunction /-
 theorem comap_ofFunction {β} (f : β → α) (h : Monotone m ∨ Surjective f) :
     comap f (OuterMeasure.ofFunction m m_empty) =
       OuterMeasure.ofFunction (fun s => m (f '' s)) (by rwa [Set.image_empty]) :=
@@ -782,13 +923,17 @@ theorem comap_ofFunction {β} (f : β → α) (h : Monotone m ∨ Surjective f)
     cases h
     exacts [h (image_preimage_subset _ _), (congr_arg m (h.image_preimage (t n))).le]
 #align measure_theory.outer_measure.comap_of_function MeasureTheory.OuterMeasure.comap_ofFunction
+-/
 
+#print MeasureTheory.OuterMeasure.map_ofFunction_le /-
 theorem map_ofFunction_le {β} (f : α → β) :
     map f (OuterMeasure.ofFunction m m_empty) ≤
       OuterMeasure.ofFunction (fun s => m (f ⁻¹' s)) m_empty :=
   le_ofFunction.2 fun s => by rw [map_apply]; apply of_function_le
 #align measure_theory.outer_measure.map_of_function_le MeasureTheory.OuterMeasure.map_ofFunction_le
+-/
 
+#print MeasureTheory.OuterMeasure.map_ofFunction /-
 theorem map_ofFunction {β} {f : α → β} (hf : Injective f) :
     map f (OuterMeasure.ofFunction m m_empty) =
       OuterMeasure.ofFunction (fun s => m (f ⁻¹' s)) m_empty :=
@@ -802,7 +947,9 @@ theorem map_ofFunction {β} {f : α → β} (hf : Injective f) :
   · refine' ENNReal.tsum_le_tsum fun n => le_of_eq _
     simp [hf.preimage_image]
 #align measure_theory.outer_measure.map_of_function MeasureTheory.OuterMeasure.map_ofFunction
+-/
 
+#print MeasureTheory.OuterMeasure.restrict_ofFunction /-
 theorem restrict_ofFunction (s : Set α) (hm : Monotone m) :
     restrict s (OuterMeasure.ofFunction m m_empty) =
       OuterMeasure.ofFunction (fun t => m (t ∩ s)) (by rwa [Set.empty_inter]) :=
@@ -810,7 +957,9 @@ theorem restrict_ofFunction (s : Set α) (hm : Monotone m) :
   simp only [restrict, LinearMap.comp_apply, comap_of_function _ (Or.inl hm),
     map_of_function Subtype.coe_injective, Subtype.image_preimage_coe]
 #align measure_theory.outer_measure.restrict_of_function MeasureTheory.OuterMeasure.restrict_ofFunction
+-/
 
+#print MeasureTheory.OuterMeasure.smul_ofFunction /-
 theorem smul_ofFunction {c : ℝ≥0∞} (hc : c ≠ ∞) :
     c • OuterMeasure.ofFunction m m_empty = OuterMeasure.ofFunction (c • m) (by simp [m_empty]) :=
   by
@@ -819,6 +968,7 @@ theorem smul_ofFunction {c : ℝ≥0∞} (hc : c ≠ ∞) :
   simp only [smul_apply, of_function_apply, ENNReal.tsum_mul_left, Pi.smul_apply, smul_eq_mul,
     iInf_subtype', ENNReal.iInf_mul_left fun h => (hc h).elim]
 #align measure_theory.outer_measure.smul_of_function MeasureTheory.OuterMeasure.smul_ofFunction
+-/
 
 end OfFunction
 
@@ -837,10 +987,13 @@ def boundedBy : OuterMeasure α :=
 
 variable {m}
 
+#print MeasureTheory.OuterMeasure.boundedBy_le /-
 theorem boundedBy_le (s : Set α) : boundedBy m s ≤ m s :=
   (ofFunction_le _).trans iSup_const_le
 #align measure_theory.outer_measure.bounded_by_le MeasureTheory.OuterMeasure.boundedBy_le
+-/
 
+#print MeasureTheory.OuterMeasure.boundedBy_eq_ofFunction /-
 theorem boundedBy_eq_ofFunction (m_empty : m ∅ = 0) (s : Set α) :
     boundedBy m s = OuterMeasure.ofFunction m m_empty s :=
   by
@@ -848,16 +1001,21 @@ theorem boundedBy_eq_ofFunction (m_empty : m ∅ = 0) (s : Set α) :
     cases' t.eq_empty_or_nonempty with h h <;> simp [h, not_nonempty_empty, m_empty]
   simp [bounded_by, this]
 #align measure_theory.outer_measure.bounded_by_eq_of_function MeasureTheory.OuterMeasure.boundedBy_eq_ofFunction
+-/
 
+#print MeasureTheory.OuterMeasure.boundedBy_apply /-
 theorem boundedBy_apply (s : Set α) :
     boundedBy m s = ⨅ (t : ℕ → Set α) (h : s ⊆ iUnion t), ∑' n, ⨆ h : (t n).Nonempty, m (t n) := by
   simp [bounded_by, of_function_apply]
 #align measure_theory.outer_measure.bounded_by_apply MeasureTheory.OuterMeasure.boundedBy_apply
+-/
 
+#print MeasureTheory.OuterMeasure.boundedBy_eq /-
 theorem boundedBy_eq (s : Set α) (m_empty : m ∅ = 0) (m_mono : ∀ ⦃t : Set α⦄, s ⊆ t → m s ≤ m t)
     (m_subadd : ∀ s : ℕ → Set α, m (⋃ i, s i) ≤ ∑' i, m (s i)) : boundedBy m s = m s := by
   rw [bounded_by_eq_of_function m_empty, of_function_eq s m_mono m_subadd]
 #align measure_theory.outer_measure.bounded_by_eq MeasureTheory.OuterMeasure.boundedBy_eq
+-/
 
 #print MeasureTheory.OuterMeasure.boundedBy_eq_self /-
 @[simp]
@@ -866,16 +1024,20 @@ theorem boundedBy_eq_self (m : OuterMeasure α) : boundedBy m = m :=
 #align measure_theory.outer_measure.bounded_by_eq_self MeasureTheory.OuterMeasure.boundedBy_eq_self
 -/
 
+#print MeasureTheory.OuterMeasure.le_boundedBy /-
 theorem le_boundedBy {μ : OuterMeasure α} : μ ≤ boundedBy m ↔ ∀ s, μ s ≤ m s :=
   by
   rw [bounded_by, le_of_function, forall_congr']; intro s
   cases' s.eq_empty_or_nonempty with h h <;> simp [h, not_nonempty_empty]
 #align measure_theory.outer_measure.le_bounded_by MeasureTheory.OuterMeasure.le_boundedBy
+-/
 
+#print MeasureTheory.OuterMeasure.le_boundedBy' /-
 theorem le_boundedBy' {μ : OuterMeasure α} :
     μ ≤ boundedBy m ↔ ∀ s : Set α, s.Nonempty → μ s ≤ m s := by rw [le_bounded_by, forall_congr'];
   intro s; cases' s.eq_empty_or_nonempty with h h <;> simp [h]
 #align measure_theory.outer_measure.le_bounded_by' MeasureTheory.OuterMeasure.le_boundedBy'
+-/
 
 #print MeasureTheory.OuterMeasure.boundedBy_top /-
 @[simp]
@@ -897,13 +1059,16 @@ theorem boundedBy_zero : boundedBy (0 : Set α → ℝ≥0∞) = 0 :=
 #align measure_theory.outer_measure.bounded_by_zero MeasureTheory.OuterMeasure.boundedBy_zero
 -/
 
+#print MeasureTheory.OuterMeasure.smul_boundedBy /-
 theorem smul_boundedBy {c : ℝ≥0∞} (hc : c ≠ ∞) : c • boundedBy m = boundedBy (c • m) :=
   by
   simp only [bounded_by, smul_of_function hc]
   congr 1 with s : 1
   rcases s.eq_empty_or_nonempty with (rfl | hs) <;> simp [*]
 #align measure_theory.outer_measure.smul_bounded_by MeasureTheory.OuterMeasure.smul_boundedBy
+-/
 
+#print MeasureTheory.OuterMeasure.comap_boundedBy /-
 theorem comap_boundedBy {β} (f : β → α)
     (h : (Monotone fun s : { s : Set α // s.Nonempty } => m s) ∨ Surjective f) :
     comap f (boundedBy m) = boundedBy fun s => m (f '' s) :=
@@ -916,7 +1081,9 @@ theorem comap_boundedBy {β} (f : β → α)
     congr with s : 1
     rw [nonempty_image_iff]
 #align measure_theory.outer_measure.comap_bounded_by MeasureTheory.OuterMeasure.comap_boundedBy
+-/
 
+#print MeasureTheory.OuterMeasure.boundedBy_union_of_top_of_nonempty_inter /-
 /-- If `m u = ∞` for any set `u` that has nonempty intersection both with `s` and `t`, then
 `μ (s ∪ t) = μ s + μ t`, where `μ = measure_theory.outer_measure.bounded_by m`.
 
@@ -929,6 +1096,7 @@ theorem boundedBy_union_of_top_of_nonempty_inter {s t : Set α}
   ofFunction_union_of_top_of_nonempty_inter fun u hs ht =>
     top_unique <| (h u hs ht).ge.trans <| le_iSup (fun h => m u) (hs.mono <| inter_subset_right s u)
 #align measure_theory.outer_measure.bounded_by_union_of_top_of_nonempty_inter MeasureTheory.OuterMeasure.boundedBy_union_of_top_of_nonempty_inter
+-/
 
 end BoundedBy
 
@@ -938,8 +1106,6 @@ universe u
 
 parameter {α : Type u} (m : OuterMeasure α)
 
-include m
-
 attribute [local simp] Set.inter_comm Set.inter_left_comm Set.inter_assoc
 
 variable {s s₁ s₂ : Set α}
@@ -952,9 +1118,11 @@ def IsCaratheodory (s : Set α) : Prop :=
 #align measure_theory.outer_measure.is_caratheodory MeasureTheory.OuterMeasure.IsCaratheodory
 -/
 
+#print MeasureTheory.OuterMeasure.isCaratheodory_iff_le' /-
 theorem isCaratheodory_iff_le' {s : Set α} : is_caratheodory s ↔ ∀ t, m (t ∩ s) + m (t \ s) ≤ m t :=
   forall_congr' fun t => le_antisymm_iff.trans <| and_iff_right <| le_inter_add_diff _
 #align measure_theory.outer_measure.is_caratheodory_iff_le' MeasureTheory.OuterMeasure.isCaratheodory_iff_le'
+-/
 
 #print MeasureTheory.OuterMeasure.isCaratheodory_empty /-
 @[simp]
@@ -962,15 +1130,20 @@ theorem isCaratheodory_empty : is_caratheodory ∅ := by simp [is_caratheodory,
 #align measure_theory.outer_measure.is_caratheodory_empty MeasureTheory.OuterMeasure.isCaratheodory_empty
 -/
 
+#print MeasureTheory.OuterMeasure.isCaratheodory_compl /-
 theorem isCaratheodory_compl : is_caratheodory s₁ → is_caratheodory (s₁ᶜ) := by
   simp [is_caratheodory, diff_eq, add_comm]
 #align measure_theory.outer_measure.is_caratheodory_compl MeasureTheory.OuterMeasure.isCaratheodory_compl
+-/
 
+#print MeasureTheory.OuterMeasure.isCaratheodory_compl_iff /-
 @[simp]
 theorem isCaratheodory_compl_iff : is_caratheodory (sᶜ) ↔ is_caratheodory s :=
   ⟨fun h => by simpa using is_caratheodory_compl m h, is_caratheodory_compl⟩
 #align measure_theory.outer_measure.is_caratheodory_compl_iff MeasureTheory.OuterMeasure.isCaratheodory_compl_iff
+-/
 
+#print MeasureTheory.OuterMeasure.isCaratheodory_union /-
 theorem isCaratheodory_union (h₁ : is_caratheodory s₁) (h₂ : is_caratheodory s₂) :
     is_caratheodory (s₁ ∪ s₂) := fun t =>
   by
@@ -979,11 +1152,14 @@ theorem isCaratheodory_union (h₁ : is_caratheodory s₁) (h₂ : is_caratheodo
     union_diff_left, h₂ (t ∩ s₁)]
   simp [diff_eq, add_assoc]
 #align measure_theory.outer_measure.is_caratheodory_union MeasureTheory.OuterMeasure.isCaratheodory_union
+-/
 
+#print MeasureTheory.OuterMeasure.measure_inter_union /-
 theorem measure_inter_union (h : s₁ ∩ s₂ ⊆ ∅) (h₁ : is_caratheodory s₁) {t : Set α} :
     m (t ∩ (s₁ ∪ s₂)) = m (t ∩ s₁) + m (t ∩ s₂) := by
   rw [h₁, Set.inter_assoc, Set.union_inter_cancel_left, inter_diff_assoc, union_diff_cancel_left h]
 #align measure_theory.outer_measure.measure_inter_union MeasureTheory.OuterMeasure.measure_inter_union
+-/
 
 #print MeasureTheory.OuterMeasure.isCaratheodory_iUnion_lt /-
 theorem isCaratheodory_iUnion_lt {s : ℕ → Set α} :
@@ -998,13 +1174,16 @@ theorem isCaratheodory_iUnion_lt {s : ℕ → Set α} :
 #align measure_theory.outer_measure.is_caratheodory_Union_lt MeasureTheory.OuterMeasure.isCaratheodory_iUnion_lt
 -/
 
+#print MeasureTheory.OuterMeasure.isCaratheodory_inter /-
 theorem isCaratheodory_inter (h₁ : is_caratheodory s₁) (h₂ : is_caratheodory s₂) :
     is_caratheodory (s₁ ∩ s₂) :=
   by
   rw [← is_caratheodory_compl_iff, Set.compl_inter]
   exact is_caratheodory_union _ (is_caratheodory_compl _ h₁) (is_caratheodory_compl _ h₂)
 #align measure_theory.outer_measure.is_caratheodory_inter MeasureTheory.OuterMeasure.isCaratheodory_inter
+-/
 
+#print MeasureTheory.OuterMeasure.isCaratheodory_sum /-
 theorem isCaratheodory_sum {s : ℕ → Set α} (h : ∀ i, is_caratheodory (s i))
     (hd : Pairwise (Disjoint on s)) {t : Set α} :
     ∀ {n}, ∑ i in Finset.range n, m (t ∩ s i) = m (t ∩ ⋃ i < n, s i)
@@ -1016,7 +1195,9 @@ theorem isCaratheodory_sum {s : ℕ → Set α} (h : ∀ i, is_caratheodory (s i
     intro a
     simpa using fun (h₁ : a ∈ s n) i (hi : i < n) h₂ => (hd (ne_of_gt hi)).le_bot ⟨h₁, h₂⟩
 #align measure_theory.outer_measure.is_caratheodory_sum MeasureTheory.OuterMeasure.isCaratheodory_sum
+-/
 
+#print MeasureTheory.OuterMeasure.isCaratheodory_iUnion_nat /-
 theorem isCaratheodory_iUnion_nat {s : ℕ → Set α} (h : ∀ i, is_caratheodory (s i))
     (hd : Pairwise (Disjoint on s)) : is_caratheodory (⋃ i, s i) :=
   is_caratheodory_iff_le'.2 fun t =>
@@ -1034,7 +1215,9 @@ theorem isCaratheodory_iUnion_nat {s : ℕ → Set α} (h : ∀ i, is_caratheodo
     refine' m.mono (diff_subset_diff_right _)
     exact Union₂_subset fun i _ => subset_Union _ i
 #align measure_theory.outer_measure.is_caratheodory_Union_nat MeasureTheory.OuterMeasure.isCaratheodory_iUnion_nat
+-/
 
+#print MeasureTheory.OuterMeasure.f_iUnion /-
 theorem f_iUnion {s : ℕ → Set α} (h : ∀ i, is_caratheodory (s i)) (hd : Pairwise (Disjoint on s)) :
     m (⋃ i, s i) = ∑' i, m (s i) :=
   by
@@ -1045,6 +1228,7 @@ theorem f_iUnion {s : ℕ → Set α} (h : ∀ i, is_caratheodory (s i)) (hd : P
   simp at this ; simp [this]
   exact m.mono (Union₂_subset fun i _ => subset_Union _ i)
 #align measure_theory.outer_measure.f_Union MeasureTheory.OuterMeasure.f_iUnion
+-/
 
 #print MeasureTheory.OuterMeasure.caratheodoryDynkin /-
 /-- The Carathéodory-measurable sets for an outer measure `m` form a Dynkin system.  -/
@@ -1065,26 +1249,33 @@ protected def caratheodory : MeasurableSpace α :=
 #align measure_theory.outer_measure.caratheodory MeasureTheory.OuterMeasure.caratheodory
 -/
 
+#print MeasureTheory.OuterMeasure.isCaratheodory_iff /-
 theorem isCaratheodory_iff {s : Set α} :
     measurable_set[caratheodory] s ↔ ∀ t, m t = m (t ∩ s) + m (t \ s) :=
   Iff.rfl
 #align measure_theory.outer_measure.is_caratheodory_iff MeasureTheory.OuterMeasure.isCaratheodory_iff
+-/
 
+#print MeasureTheory.OuterMeasure.isCaratheodory_iff_le /-
 theorem isCaratheodory_iff_le {s : Set α} :
     measurable_set[caratheodory] s ↔ ∀ t, m (t ∩ s) + m (t \ s) ≤ m t :=
   is_caratheodory_iff_le'
 #align measure_theory.outer_measure.is_caratheodory_iff_le MeasureTheory.OuterMeasure.isCaratheodory_iff_le
+-/
 
+#print MeasureTheory.OuterMeasure.iUnion_eq_of_caratheodory /-
 protected theorem iUnion_eq_of_caratheodory {s : ℕ → Set α}
     (h : ∀ i, measurable_set[caratheodory] (s i)) (hd : Pairwise (Disjoint on s)) :
     m (⋃ i, s i) = ∑' i, m (s i) :=
   f_Union h hd
 #align measure_theory.outer_measure.Union_eq_of_caratheodory MeasureTheory.OuterMeasure.iUnion_eq_of_caratheodory
+-/
 
 end CaratheodoryMeasurable
 
 variable {α : Type _}
 
+#print MeasureTheory.OuterMeasure.ofFunction_caratheodory /-
 theorem ofFunction_caratheodory {m : Set α → ℝ≥0∞} {s : Set α} {h₀ : m ∅ = 0}
     (hs : ∀ t, m (t ∩ s) + m (t \ s) ≤ m t) :
     measurable_set[(OuterMeasure.ofFunction m h₀).caratheodory] s :=
@@ -1100,7 +1291,9 @@ theorem ofFunction_caratheodory {m : Set α → ℝ≥0∞} {s : Set α} {h₀ :
   · rw [← Union_diff]; exact diff_subset_diff_left hf
   · rw [← ENNReal.tsum_add]; exact ENNReal.tsum_le_tsum fun i => hs _
 #align measure_theory.outer_measure.of_function_caratheodory MeasureTheory.OuterMeasure.ofFunction_caratheodory
+-/
 
+#print MeasureTheory.OuterMeasure.boundedBy_caratheodory /-
 theorem boundedBy_caratheodory {m : Set α → ℝ≥0∞} {s : Set α}
     (hs : ∀ t, m (t ∩ s) + m (t \ s) ≤ m t) : measurable_set[(boundedBy m).caratheodory] s :=
   by
@@ -1109,39 +1302,52 @@ theorem boundedBy_caratheodory {m : Set α → ℝ≥0∞} {s : Set α}
   · simp [h, not_nonempty_empty]
   · convert le_trans _ (hs t); · simp [h]; exact add_le_add iSup_const_le iSup_const_le
 #align measure_theory.outer_measure.bounded_by_caratheodory MeasureTheory.OuterMeasure.boundedBy_caratheodory
+-/
 
+#print MeasureTheory.OuterMeasure.zero_caratheodory /-
 @[simp]
 theorem zero_caratheodory : (0 : OuterMeasure α).caratheodory = ⊤ :=
   top_unique fun s _ t => (add_zero _).symm
 #align measure_theory.outer_measure.zero_caratheodory MeasureTheory.OuterMeasure.zero_caratheodory
+-/
 
+#print MeasureTheory.OuterMeasure.top_caratheodory /-
 theorem top_caratheodory : (⊤ : OuterMeasure α).caratheodory = ⊤ :=
   top_unique fun s hs =>
     (isCaratheodory_iff_le _).2 fun t =>
       t.eq_empty_or_nonempty.elim (fun ht => by simp [ht]) fun ht => by
         simp only [ht, top_apply, le_top]
 #align measure_theory.outer_measure.top_caratheodory MeasureTheory.OuterMeasure.top_caratheodory
+-/
 
+#print MeasureTheory.OuterMeasure.le_add_caratheodory /-
 theorem le_add_caratheodory (m₁ m₂ : OuterMeasure α) :
     m₁.caratheodory ⊓ m₂.caratheodory ≤ (m₁ + m₂ : OuterMeasure α).caratheodory :=
   fun s ⟨hs₁, hs₂⟩ t => by simp [hs₁ t, hs₂ t, add_left_comm, add_assoc]
 #align measure_theory.outer_measure.le_add_caratheodory MeasureTheory.OuterMeasure.le_add_caratheodory
+-/
 
+#print MeasureTheory.OuterMeasure.le_sum_caratheodory /-
 theorem le_sum_caratheodory {ι} (m : ι → OuterMeasure α) :
     (⨅ i, (m i).caratheodory) ≤ (sum m).caratheodory := fun s h t => by
   simp [fun i => MeasurableSpace.measurableSet_iInf.1 h i t, ENNReal.tsum_add]
 #align measure_theory.outer_measure.le_sum_caratheodory MeasureTheory.OuterMeasure.le_sum_caratheodory
+-/
 
+#print MeasureTheory.OuterMeasure.le_smul_caratheodory /-
 theorem le_smul_caratheodory (a : ℝ≥0∞) (m : OuterMeasure α) :
     m.caratheodory ≤ (a • m).caratheodory := fun s h t => by simp [h t, mul_add]
 #align measure_theory.outer_measure.le_smul_caratheodory MeasureTheory.OuterMeasure.le_smul_caratheodory
+-/
 
+#print MeasureTheory.OuterMeasure.dirac_caratheodory /-
 @[simp]
 theorem dirac_caratheodory (a : α) : (dirac a).caratheodory = ⊤ :=
   top_unique fun s _ t => by
     by_cases ht : a ∈ t; swap; · simp [ht]
     by_cases hs : a ∈ s <;> simp [*]
 #align measure_theory.outer_measure.dirac_caratheodory MeasureTheory.OuterMeasure.dirac_caratheodory
+-/
 
 section InfGen
 
@@ -1155,11 +1361,14 @@ def sInfGen (m : Set (OuterMeasure α)) (s : Set α) : ℝ≥0∞ :=
 #align measure_theory.outer_measure.Inf_gen MeasureTheory.OuterMeasure.sInfGen
 -/
 
+#print MeasureTheory.OuterMeasure.sInfGen_def /-
 theorem sInfGen_def (m : Set (OuterMeasure α)) (t : Set α) :
     sInfGen m t = ⨅ (μ : OuterMeasure α) (h : μ ∈ m), μ t :=
   rfl
 #align measure_theory.outer_measure.Inf_gen_def MeasureTheory.OuterMeasure.sInfGen_def
+-/
 
+#print MeasureTheory.OuterMeasure.sInf_eq_boundedBy_sInfGen /-
 theorem sInf_eq_boundedBy_sInfGen (m : Set (OuterMeasure α)) :
     sInf m = OuterMeasure.boundedBy (sInfGen m) :=
   by
@@ -1168,7 +1377,9 @@ theorem sInf_eq_boundedBy_sInfGen (m : Set (OuterMeasure α)) :
     exact (show Inf m ≤ μ from sInf_le hμ) s
   · refine' le_sInf _; intro μ hμ t; refine' le_trans (bounded_by_le t) (iInf₂_le μ hμ)
 #align measure_theory.outer_measure.Inf_eq_bounded_by_Inf_gen MeasureTheory.OuterMeasure.sInf_eq_boundedBy_sInfGen
+-/
 
+#print MeasureTheory.OuterMeasure.iSup_sInfGen_nonempty /-
 theorem iSup_sInfGen_nonempty {m : Set (OuterMeasure α)} (h : m.Nonempty) (t : Set α) :
     (⨆ h : t.Nonempty, sInfGen m t) = ⨅ (μ : OuterMeasure α) (h : μ ∈ m), μ t :=
   by
@@ -1180,7 +1391,9 @@ theorem iSup_sInfGen_nonempty {m : Set (OuterMeasure α)} (h : m.Nonempty) (t :
     refine' iInf_le_of_le μ (iInf_le _ hμ)
   · simp [ht, Inf_gen_def]
 #align measure_theory.outer_measure.supr_Inf_gen_nonempty MeasureTheory.OuterMeasure.iSup_sInfGen_nonempty
+-/
 
+#print MeasureTheory.OuterMeasure.sInf_apply /-
 /-- The value of the Infimum of a nonempty set of outer measures on a set is not simply
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
@@ -1189,7 +1402,9 @@ theorem sInf_apply {m : Set (OuterMeasure α)} {s : Set α} (h : m.Nonempty) :
       ⨅ (t : ℕ → Set α) (h2 : s ⊆ iUnion t), ∑' n, ⨅ (μ : OuterMeasure α) (h3 : μ ∈ m), μ (t n) :=
   by simp_rw [Inf_eq_bounded_by_Inf_gen, bounded_by_apply, supr_Inf_gen_nonempty h]
 #align measure_theory.outer_measure.Inf_apply MeasureTheory.OuterMeasure.sInf_apply
+-/
 
+#print MeasureTheory.OuterMeasure.sInf_apply' /-
 /-- The value of the Infimum of a set of outer measures on a nonempty set is not simply
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
@@ -1198,7 +1413,9 @@ theorem sInf_apply' {m : Set (OuterMeasure α)} {s : Set α} (h : s.Nonempty) :
       ⨅ (t : ℕ → Set α) (h2 : s ⊆ iUnion t), ∑' n, ⨅ (μ : OuterMeasure α) (h3 : μ ∈ m), μ (t n) :=
   m.eq_empty_or_nonempty.elim (fun hm => by simp [hm, h]) sInf_apply
 #align measure_theory.outer_measure.Inf_apply' MeasureTheory.OuterMeasure.sInf_apply'
+-/
 
+#print MeasureTheory.OuterMeasure.iInf_apply /-
 /-- The value of the Infimum of a nonempty family of outer measures on a set is not simply
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
@@ -1206,7 +1423,9 @@ theorem iInf_apply {ι} [Nonempty ι] (m : ι → OuterMeasure α) (s : Set α)
     (⨅ i, m i) s = ⨅ (t : ℕ → Set α) (h2 : s ⊆ iUnion t), ∑' n, ⨅ i, m i (t n) := by
   rw [iInf, sInf_apply (range_nonempty m)]; simp only [iInf_range]
 #align measure_theory.outer_measure.infi_apply MeasureTheory.OuterMeasure.iInf_apply
+-/
 
+#print MeasureTheory.OuterMeasure.iInf_apply' /-
 /-- The value of the Infimum of a family of outer measures on a nonempty set is not simply
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
@@ -1214,7 +1433,9 @@ theorem iInf_apply' {ι} (m : ι → OuterMeasure α) {s : Set α} (hs : s.Nonem
     (⨅ i, m i) s = ⨅ (t : ℕ → Set α) (h2 : s ⊆ iUnion t), ∑' n, ⨅ i, m i (t n) := by
   rw [iInf, Inf_apply' hs]; simp only [iInf_range]
 #align measure_theory.outer_measure.infi_apply' MeasureTheory.OuterMeasure.iInf_apply'
+-/
 
+#print MeasureTheory.OuterMeasure.biInf_apply /-
 /-- The value of the Infimum of a nonempty family of outer measures on a set is not simply
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
@@ -1222,7 +1443,9 @@ theorem biInf_apply {ι} {I : Set ι} (hI : I.Nonempty) (m : ι → OuterMeasure
     (⨅ i ∈ I, m i) s = ⨅ (t : ℕ → Set α) (h2 : s ⊆ iUnion t), ∑' n, ⨅ i ∈ I, m i (t n) := by
   haveI := hI.to_subtype; simp only [← iInf_subtype'', iInf_apply]
 #align measure_theory.outer_measure.binfi_apply MeasureTheory.OuterMeasure.biInf_apply
+-/
 
+#print MeasureTheory.OuterMeasure.biInf_apply' /-
 /-- The value of the Infimum of a nonempty family of outer measures on a set is not simply
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
@@ -1230,12 +1453,16 @@ theorem biInf_apply' {ι} (I : Set ι) (m : ι → OuterMeasure α) {s : Set α}
     (⨅ i ∈ I, m i) s = ⨅ (t : ℕ → Set α) (h2 : s ⊆ iUnion t), ∑' n, ⨅ i ∈ I, m i (t n) := by
   simp only [← iInf_subtype'', infi_apply' _ hs]
 #align measure_theory.outer_measure.binfi_apply' MeasureTheory.OuterMeasure.biInf_apply'
+-/
 
+#print MeasureTheory.OuterMeasure.map_iInf_le /-
 theorem map_iInf_le {ι β} (f : α → β) (m : ι → OuterMeasure α) :
     map f (⨅ i, m i) ≤ ⨅ i, map f (m i) :=
   (map_mono f).map_iInf_le
 #align measure_theory.outer_measure.map_infi_le MeasureTheory.OuterMeasure.map_iInf_le
+-/
 
+#print MeasureTheory.OuterMeasure.comap_iInf /-
 theorem comap_iInf {ι β} (f : α → β) (m : ι → OuterMeasure β) :
     comap f (⨅ i, m i) = ⨅ i, comap f (m i) :=
   by
@@ -1246,14 +1473,18 @@ theorem comap_iInf {ι β} (f : α → β) (m : ι → OuterMeasure β) :
   refine' fun t ht => iInf_le_of_le _ (iInf_le_of_le ht <| ENNReal.tsum_le_tsum fun k => _)
   exact iInf_mono fun i => (m i).mono (image_preimage_subset _ _)
 #align measure_theory.outer_measure.comap_infi MeasureTheory.OuterMeasure.comap_iInf
+-/
 
+#print MeasureTheory.OuterMeasure.map_iInf /-
 theorem map_iInf {ι β} {f : α → β} (hf : Injective f) (m : ι → OuterMeasure α) :
     map f (⨅ i, m i) = restrict (range f) (⨅ i, map f (m i)) :=
   by
   refine' Eq.trans _ (map_comap _ _)
   simp only [comap_infi, comap_map hf]
 #align measure_theory.outer_measure.map_infi MeasureTheory.OuterMeasure.map_iInf
+-/
 
+#print MeasureTheory.OuterMeasure.map_iInf_comap /-
 theorem map_iInf_comap {ι β} [Nonempty ι] {f : α → β} (m : ι → OuterMeasure β) :
     map f (⨅ i, comap f (m i)) = ⨅ i, map f (comap f (m i)) :=
   by
@@ -1266,12 +1497,16 @@ theorem map_iInf_comap {ι β} [Nonempty ι] {f : α → β} (m : ι → OuterMe
   · refine' ENNReal.tsum_le_tsum fun n => iInf_mono fun i => (m i).mono _
     simp
 #align measure_theory.outer_measure.map_infi_comap MeasureTheory.OuterMeasure.map_iInf_comap
+-/
 
+#print MeasureTheory.OuterMeasure.map_biInf_comap /-
 theorem map_biInf_comap {ι β} {I : Set ι} (hI : I.Nonempty) {f : α → β} (m : ι → OuterMeasure β) :
     map f (⨅ i ∈ I, comap f (m i)) = ⨅ i ∈ I, map f (comap f (m i)) := by haveI := hI.to_subtype;
   rw [← iInf_subtype'', ← iInf_subtype'']; exact map_infi_comap _
 #align measure_theory.outer_measure.map_binfi_comap MeasureTheory.OuterMeasure.map_biInf_comap
+-/
 
+#print MeasureTheory.OuterMeasure.restrict_iInf_restrict /-
 theorem restrict_iInf_restrict {ι} (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨅ i, restrict s (m i)) = restrict s (⨅ i, m i) :=
   calc
@@ -1280,23 +1515,30 @@ theorem restrict_iInf_restrict {ι} (s : Set α) (m : ι → OuterMeasure α) :
     _ = map (coe : s → α) (⨅ i, comap coe (m i)) := (map_iInf Subtype.coe_injective _).symm
     _ = restrict s (⨅ i, m i) := congr_arg (map coe) (comap_iInf _ _).symm
 #align measure_theory.outer_measure.restrict_infi_restrict MeasureTheory.OuterMeasure.restrict_iInf_restrict
+-/
 
+#print MeasureTheory.OuterMeasure.restrict_iInf /-
 theorem restrict_iInf {ι} [Nonempty ι] (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨅ i, m i) = ⨅ i, restrict s (m i) :=
   (congr_arg (map coe) (comap_iInf _ _)).trans (map_iInf_comap _)
 #align measure_theory.outer_measure.restrict_infi MeasureTheory.OuterMeasure.restrict_iInf
+-/
 
+#print MeasureTheory.OuterMeasure.restrict_biInf /-
 theorem restrict_biInf {ι} {I : Set ι} (hI : I.Nonempty) (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨅ i ∈ I, m i) = ⨅ i ∈ I, restrict s (m i) := by haveI := hI.to_subtype;
   rw [← iInf_subtype'', ← iInf_subtype'']; exact restrict_infi _ _
 #align measure_theory.outer_measure.restrict_binfi MeasureTheory.OuterMeasure.restrict_biInf
+-/
 
+#print MeasureTheory.OuterMeasure.restrict_sInf_eq_sInf_restrict /-
 /-- This proves that Inf and restrict commute for outer measures, so long as the set of
 outer measures is nonempty. -/
 theorem restrict_sInf_eq_sInf_restrict (m : Set (OuterMeasure α)) {s : Set α} (hm : m.Nonempty) :
     restrict s (sInf m) = sInf (restrict s '' m) := by
   simp only [sInf_eq_iInf, restrict_binfi, hm, iInf_image]
 #align measure_theory.outer_measure.restrict_Inf_eq_Inf_restrict MeasureTheory.OuterMeasure.restrict_sInf_eq_sInf_restrict
+-/
 
 end InfGen
 
@@ -1330,6 +1572,7 @@ def extend (s : α) : ℝ≥0∞ :=
 #align measure_theory.extend MeasureTheory.extend
 -/
 
+#print MeasureTheory.smul_extend /-
 theorem smul_extend {R} [Zero R] [SMulWithZero R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞]
     [NoZeroSMulDivisors R ℝ≥0∞] {c : R} (hc : c ≠ 0) : c • extend m = extend fun s h => c • m s h :=
   by
@@ -1339,18 +1582,23 @@ theorem smul_extend {R} [Zero R] [SMulWithZero R ℝ≥0∞] [IsScalarTower R 
   · simp [h]
   · simp [h, ENNReal.smul_top, hc]
 #align measure_theory.smul_extend MeasureTheory.smul_extend
+-/
 
 #print MeasureTheory.extend_eq /-
 theorem extend_eq {s : α} (h : P s) : extend m s = m s h := by simp [extend, h]
 #align measure_theory.extend_eq MeasureTheory.extend_eq
 -/
 
+#print MeasureTheory.extend_eq_top /-
 theorem extend_eq_top {s : α} (h : ¬P s) : extend m s = ∞ := by simp [extend, h]
 #align measure_theory.extend_eq_top MeasureTheory.extend_eq_top
+-/
 
+#print MeasureTheory.le_extend /-
 theorem le_extend {s : α} (h : P s) : m s h ≤ extend m s := by simp only [extend, le_iInf_iff];
   intro; rfl
 #align measure_theory.le_extend MeasureTheory.le_extend
+-/
 
 #print MeasureTheory.extend_congr /-
 -- TODO: why this is a bad `congr` lemma?
@@ -1361,10 +1609,12 @@ theorem extend_congr {β : Type _} {Pb : β → Prop} {mb : ∀ s : β, Pb s →
 #align measure_theory.extend_congr MeasureTheory.extend_congr
 -/
 
+#print MeasureTheory.extend_top /-
 @[simp]
 theorem extend_top {α : Type _} {P : α → Prop} : extend (fun s h => ∞ : ∀ s : α, P s → ℝ≥0∞) = ⊤ :=
   funext fun x => iInf_eq_top.mpr fun i => rfl
 #align measure_theory.extend_top MeasureTheory.extend_top
+-/
 
 end Extend
 
@@ -1387,20 +1637,23 @@ variable (msU : ∀ ⦃f : ℕ → Set α⦄ (hm : ∀ i, P (f i)), m (⋃ i, f
 
 variable (m_mono : ∀ ⦃s₁ s₂ : Set α⦄ (hs₁ : P s₁) (hs₂ : P s₂), s₁ ⊆ s₂ → m s₁ hs₁ ≤ m s₂ hs₂)
 
+#print MeasureTheory.extend_empty /-
 theorem extend_empty : extend m ∅ = 0 :=
   (extend_eq _ P0).trans m0
 #align measure_theory.extend_empty MeasureTheory.extend_empty
+-/
 
+#print MeasureTheory.extend_iUnion_nat /-
 theorem extend_iUnion_nat {f : ℕ → Set α} (hm : ∀ i, P (f i))
     (mU : m (⋃ i, f i) (PU hm) = ∑' i, m (f i) (hm i)) :
     extend m (⋃ i, f i) = ∑' i, extend m (f i) :=
   (extend_eq _ _).trans <| mU.trans <| by congr with i; rw [extend_eq]
 #align measure_theory.extend_Union_nat MeasureTheory.extend_iUnion_nat
+-/
 
 section Subadditive
 
-include PU msU
-
+#print MeasureTheory.extend_iUnion_le_tsum_nat' /-
 theorem extend_iUnion_le_tsum_nat' (s : ℕ → Set α) : extend m (⋃ i, s i) ≤ ∑' i, extend m (s i) :=
   by
   by_cases h : ∀ i, P (s i)
@@ -1410,23 +1663,23 @@ theorem extend_iUnion_le_tsum_nat' (s : ℕ → Set α) : extend m (⋃ i, s i)
   · cases' not_forall.1 h with i hi
     exact le_trans (le_iInf fun h => hi.elim h) (ENNReal.le_tsum i)
 #align measure_theory.extend_Union_le_tsum_nat' MeasureTheory.extend_iUnion_le_tsum_nat'
+-/
 
 end Subadditive
 
 section Mono
 
-include m_mono
-
+#print MeasureTheory.extend_mono' /-
 theorem extend_mono' ⦃s₁ s₂ : Set α⦄ (h₁ : P s₁) (hs : s₁ ⊆ s₂) : extend m s₁ ≤ extend m s₂ := by
   refine' le_iInf _; intro h₂; rw [extend_eq m h₁]; exact m_mono h₁ h₂ hs
 #align measure_theory.extend_mono' MeasureTheory.extend_mono'
+-/
 
 end Mono
 
 section Unions
 
-include P0 m0 PU mU
-
+#print MeasureTheory.extend_iUnion /-
 theorem extend_iUnion {β} [Countable β] {f : β → Set α} (hd : Pairwise (Disjoint on f))
     (hm : ∀ i, P (f i)) : extend m (⋃ i, f i) = ∑' i, extend m (f i) :=
   by
@@ -1438,7 +1691,9 @@ theorem extend_iUnion {β} [Countable β] {f : β → Set α} (hd : Pairwise (Di
         (mU _ (Encodable.iUnion_decode₂_disjoint_on hd))
   · exact extend_empty P0 m0
 #align measure_theory.extend_Union MeasureTheory.extend_iUnion
+-/
 
+#print MeasureTheory.extend_union /-
 theorem extend_union {s₁ s₂ : Set α} (hd : Disjoint s₁ s₂) (h₁ : P s₁) (h₂ : P s₂) :
     extend m (s₁ ∪ s₂) = extend m s₁ + extend m s₂ :=
   by
@@ -1447,24 +1702,30 @@ theorem extend_union {s₁ s₂ : Set α} (hd : Disjoint s₁ s₂) (h₁ : P s
     tsum_fintype]
   simp
 #align measure_theory.extend_union MeasureTheory.extend_union
+-/
 
 end Unions
 
 variable (m)
 
+#print MeasureTheory.inducedOuterMeasure /-
 /-- Given an arbitrary function on a subset of sets, we can define the outer measure corresponding
   to it (this is the unique maximal outer measure that is at most `m` on the domain of `m`). -/
 def inducedOuterMeasure : OuterMeasure α :=
   OuterMeasure.ofFunction (extend m) (extend_empty P0 m0)
 #align measure_theory.induced_outer_measure MeasureTheory.inducedOuterMeasure
+-/
 
 variable {m P0 m0}
 
+#print MeasureTheory.le_inducedOuterMeasure /-
 theorem le_inducedOuterMeasure {μ : OuterMeasure α} :
     μ ≤ inducedOuterMeasure m P0 m0 ↔ ∀ (s) (hs : P s), μ s ≤ m s hs :=
   le_ofFunction.trans <| forall_congr' fun s => le_iInf_iff
 #align measure_theory.le_induced_outer_measure MeasureTheory.le_inducedOuterMeasure
+-/
 
+#print MeasureTheory.inducedOuterMeasure_union_of_false_of_nonempty_inter /-
 /-- If `P u` is `false` for any set `u` that has nonempty intersection both with `s` and `t`, then
 `μ (s ∪ t) = μ s + μ t`, where `μ = induced_outer_measure m P0 m0`.
 
@@ -1476,18 +1737,22 @@ theorem inducedOuterMeasure_union_of_false_of_nonempty_inter {s t : Set α}
       inducedOuterMeasure m P0 m0 s + inducedOuterMeasure m P0 m0 t :=
   ofFunction_union_of_top_of_nonempty_inter fun u hsu htu => @iInf_of_empty _ _ _ ⟨h u hsu htu⟩ _
 #align measure_theory.induced_outer_measure_union_of_false_of_nonempty_inter MeasureTheory.inducedOuterMeasure_union_of_false_of_nonempty_inter
+-/
 
-include msU m_mono
-
+#print MeasureTheory.inducedOuterMeasure_eq_extend' /-
 theorem inducedOuterMeasure_eq_extend' {s : Set α} (hs : P s) :
     inducedOuterMeasure m P0 m0 s = extend m s :=
   ofFunction_eq s (fun t => extend_mono' m_mono hs) (extend_iUnion_le_tsum_nat' PU msU)
 #align measure_theory.induced_outer_measure_eq_extend' MeasureTheory.inducedOuterMeasure_eq_extend'
+-/
 
+#print MeasureTheory.inducedOuterMeasure_eq' /-
 theorem inducedOuterMeasure_eq' {s : Set α} (hs : P s) : inducedOuterMeasure m P0 m0 s = m s hs :=
   (inducedOuterMeasure_eq_extend' PU msU m_mono hs).trans <| extend_eq _ _
 #align measure_theory.induced_outer_measure_eq' MeasureTheory.inducedOuterMeasure_eq'
+-/
 
+#print MeasureTheory.inducedOuterMeasure_eq_iInf /-
 theorem inducedOuterMeasure_eq_iInf (s : Set α) :
     inducedOuterMeasure m P0 m0 s = ⨅ (t : Set α) (ht : P t) (h : s ⊆ t), m t ht :=
   by
@@ -1500,7 +1765,9 @@ theorem inducedOuterMeasure_eq_iInf (s : Set α) :
     refine' le_iInf _; intro h2f
     refine' iInf_le_of_le _ (iInf_le_of_le h2f <| iInf_le _ hf)
 #align measure_theory.induced_outer_measure_eq_infi MeasureTheory.inducedOuterMeasure_eq_iInf
+-/
 
+#print MeasureTheory.inducedOuterMeasure_preimage /-
 theorem inducedOuterMeasure_preimage (f : α ≃ α) (Pm : ∀ s : Set α, P (f ⁻¹' s) ↔ P s)
     (mm : ∀ (s : Set α) (hs : P s), m (f ⁻¹' s) ((Pm _).mpr hs) = m s hs) {A : Set α} :
     inducedOuterMeasure m P0 m0 (f ⁻¹' A) = inducedOuterMeasure m P0 m0 A :=
@@ -1511,7 +1778,9 @@ theorem inducedOuterMeasure_preimage (f : α ≃ α) (Pm : ∀ s : Set α, P (f
   refine' iInf_congr_Prop f.surjective.preimage_subset_preimage_iff _
   intro h2s; exact mm s hs
 #align measure_theory.induced_outer_measure_preimage MeasureTheory.inducedOuterMeasure_preimage
+-/
 
+#print MeasureTheory.inducedOuterMeasure_exists_set /-
 theorem inducedOuterMeasure_exists_set {s : Set α} (hs : inducedOuterMeasure m P0 m0 s ≠ ∞)
     {ε : ℝ≥0∞} (hε : ε ≠ 0) :
     ∃ (t : Set α) (ht : P t),
@@ -1526,7 +1795,9 @@ theorem inducedOuterMeasure_exists_set {s : Set α} (hs : inducedOuterMeasure m
   exact
     ⟨t, h1t, h2t, le_trans (le_of_eq <| induced_outer_measure_eq' _ msU m_mono h1t) (le_of_lt h3t)⟩
 #align measure_theory.induced_outer_measure_exists_set MeasureTheory.inducedOuterMeasure_exists_set
+-/
 
+#print MeasureTheory.inducedOuterMeasure_caratheodory /-
 /-- To test whether `s` is Carathéodory-measurable we only need to check the sets `t` for which
   `P t` holds. See `of_function_caratheodory` for another way to show the Carathéodory-measurability
   of `s`.
@@ -1548,6 +1819,7 @@ theorem inducedOuterMeasure_caratheodory (s : Set α) :
       add_le_add (mono' _ <| Set.inter_subset_inter_left _ h2t)
         (mono' _ <| diff_subset_diff_left h2t)
 #align measure_theory.induced_outer_measure_caratheodory MeasureTheory.inducedOuterMeasure_caratheodory
+-/
 
 end ExtendSet
 
@@ -1568,8 +1840,7 @@ variable
     ∀ ⦃f : ℕ → Set α⦄ (hm : ∀ i, MeasurableSet (f i)),
       Pairwise (Disjoint on f) → m (⋃ i, f i) (MeasurableSet.iUnion hm) = ∑' i, m (f i) (hm i))
 
-include m0 mU
-
+#print MeasureTheory.extend_mono /-
 theorem extend_mono {s₁ s₂ : Set α} (h₁ : MeasurableSet s₁) (hs : s₁ ⊆ s₂) :
     extend m s₁ ≤ extend m s₂ := by
   refine' le_iInf _; intro h₂
@@ -1580,7 +1851,9 @@ theorem extend_mono {s₁ s₂ : Set α} (h₁ : MeasurableSet s₁) (hs : s₁
   rw [← extend_eq m]
   exact le_iff_exists_add.2 ⟨_, this⟩
 #align measure_theory.extend_mono MeasureTheory.extend_mono
+-/
 
+#print MeasureTheory.extend_iUnion_le_tsum_nat /-
 theorem extend_iUnion_le_tsum_nat : ∀ s : ℕ → Set α, extend m (⋃ i, s i) ≤ ∑' i, extend m (s i) :=
   by
   refine' extend_Union_le_tsum_nat' MeasurableSet.iUnion _; intro f h
@@ -1590,16 +1863,21 @@ theorem extend_iUnion_le_tsum_nat : ∀ s : ℕ → Set α, extend m (⋃ i, s i
   rw [← extend_eq m, ← extend_eq m]
   exact extend_mono m0 mU (MeasurableSet.disjointed h _) (disjointed_le f _)
 #align measure_theory.extend_Union_le_tsum_nat MeasureTheory.extend_iUnion_le_tsum_nat
+-/
 
+#print MeasureTheory.inducedOuterMeasure_eq_extend /-
 theorem inducedOuterMeasure_eq_extend {s : Set α} (hs : MeasurableSet s) :
     inducedOuterMeasure m MeasurableSet.empty m0 s = extend m s :=
   ofFunction_eq s (fun t => extend_mono m0 mU hs) (extend_iUnion_le_tsum_nat m0 mU)
 #align measure_theory.induced_outer_measure_eq_extend MeasureTheory.inducedOuterMeasure_eq_extend
+-/
 
+#print MeasureTheory.inducedOuterMeasure_eq /-
 theorem inducedOuterMeasure_eq {s : Set α} (hs : MeasurableSet s) :
     inducedOuterMeasure m MeasurableSet.empty m0 s = m s hs :=
   (inducedOuterMeasure_eq_extend m0 mU hs).trans <| extend_eq _ _
 #align measure_theory.induced_outer_measure_eq MeasureTheory.inducedOuterMeasure_eq
+-/
 
 end MeasurableSpace
 
@@ -1641,14 +1919,18 @@ theorem trim_mono : Monotone (trim : OuterMeasure α → OuterMeasure α) := fun
 #align measure_theory.outer_measure.trim_mono MeasureTheory.OuterMeasure.trim_mono
 -/
 
+#print MeasureTheory.OuterMeasure.le_trim_iff /-
 theorem le_trim_iff {m₁ m₂ : OuterMeasure α} : m₁ ≤ m₂.trim ↔ ∀ s, MeasurableSet s → m₁ s ≤ m₂ s :=
   le_ofFunction.trans <| forall_congr' fun s => le_iInf_iff
 #align measure_theory.outer_measure.le_trim_iff MeasureTheory.OuterMeasure.le_trim_iff
+-/
 
+#print MeasureTheory.OuterMeasure.trim_le_trim_iff /-
 theorem trim_le_trim_iff {m₁ m₂ : OuterMeasure α} :
     m₁.trim ≤ m₂.trim ↔ ∀ s, MeasurableSet s → m₁ s ≤ m₂ s :=
   le_trim_iff.trans <| forall₂_congr fun s hs => by rw [trim_eq _ hs]
 #align measure_theory.outer_measure.trim_le_trim_iff MeasureTheory.OuterMeasure.trim_le_trim_iff
+-/
 
 #print MeasureTheory.OuterMeasure.trim_eq_trim_iff /-
 theorem trim_eq_trim_iff {m₁ m₂ : OuterMeasure α} :
@@ -1657,16 +1939,20 @@ theorem trim_eq_trim_iff {m₁ m₂ : OuterMeasure α} :
 #align measure_theory.outer_measure.trim_eq_trim_iff MeasureTheory.OuterMeasure.trim_eq_trim_iff
 -/
 
+#print MeasureTheory.OuterMeasure.trim_eq_iInf /-
 theorem trim_eq_iInf (s : Set α) : m.trim s = ⨅ (t) (st : s ⊆ t) (ht : MeasurableSet t), m t := by
   simp (config := { singlePass := true }) only [iInf_comm];
   exact
     induced_outer_measure_eq_infi MeasurableSet.iUnion (fun f _ => m.Union_nat f)
       (fun _ _ _ _ h => m.mono h) s
 #align measure_theory.outer_measure.trim_eq_infi MeasureTheory.OuterMeasure.trim_eq_iInf
+-/
 
+#print MeasureTheory.OuterMeasure.trim_eq_iInf' /-
 theorem trim_eq_iInf' (s : Set α) : m.trim s = ⨅ t : { t // s ⊆ t ∧ MeasurableSet t }, m t := by
   simp [iInf_subtype, iInf_and, trim_eq_infi]
 #align measure_theory.outer_measure.trim_eq_infi' MeasureTheory.OuterMeasure.trim_eq_iInf'
+-/
 
 #print MeasureTheory.OuterMeasure.trim_trim /-
 theorem trim_trim (m : OuterMeasure α) : m.trim.trim = m.trim :=
@@ -1731,12 +2017,14 @@ theorem exists_measurable_superset_eq_trim (m : OuterMeasure α) (s : Set α) :
 #align measure_theory.outer_measure.exists_measurable_superset_eq_trim MeasureTheory.OuterMeasure.exists_measurable_superset_eq_trim
 -/
 
+#print MeasureTheory.OuterMeasure.exists_measurable_superset_of_trim_eq_zero /-
 theorem exists_measurable_superset_of_trim_eq_zero {m : OuterMeasure α} {s : Set α}
     (h : m.trim s = 0) : ∃ t, s ⊆ t ∧ MeasurableSet t ∧ m t = 0 :=
   by
   rcases exists_measurable_superset_eq_trim m s with ⟨t, hst, ht, hm⟩
   exact ⟨t, hst, ht, h ▸ hm⟩
 #align measure_theory.outer_measure.exists_measurable_superset_of_trim_eq_zero MeasureTheory.OuterMeasure.exists_measurable_superset_of_trim_eq_zero
+-/
 
 #print MeasureTheory.OuterMeasure.exists_measurable_superset_forall_eq_trim /-
 /-- If `μ i` is a countable family of outer measures, then for every set `s` there exists
@@ -1779,11 +2067,13 @@ theorem trim_add (m₁ m₂ : OuterMeasure α) : (m₁ + m₂).trim = m₁.trim
 #align measure_theory.outer_measure.trim_add MeasureTheory.OuterMeasure.trim_add
 -/
 
+#print MeasureTheory.OuterMeasure.trim_smul /-
 /-- `trim` respects scalar multiplication. -/
 theorem trim_smul {R : Type _} [SMul R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞] (c : R)
     (m : OuterMeasure α) : (c • m).trim = c • m.trim :=
   ext <| trim_op (smul_apply c m)
 #align measure_theory.outer_measure.trim_smul MeasureTheory.OuterMeasure.trim_smul
+-/
 
 #print MeasureTheory.OuterMeasure.trim_sup /-
 /-- `trim` sends the supremum of two outer measures to the supremum of the trimmed measures. -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/a3e83f0fa4391c8740f7d773a7a9b74e311ae2a3

@@ -196,7 +196,7 @@ theorem iUnion_of_tendsto_zero {ι} (m : OuterMeasure α) {s : ι → Set α} (l
 /-- If `s : ℕ → set α` is a monotone sequence of sets such that `∑' k, m (s (k + 1) \ s k) ≠ ∞`,
 then `m (⋃ n, s n) = ⨆ n, m (s n)`. -/
 theorem iUnion_nat_of_monotone_of_tsum_ne_top (m : OuterMeasure α) {s : ℕ → Set α}
-    (h_mono : ∀ n, s n ⊆ s (n + 1)) (h0 : (∑' k, m (s (k + 1) \ s k)) ≠ ∞) :
+    (h_mono : ∀ n, s n ⊆ s (n + 1)) (h0 : ∑' k, m (s (k + 1) \ s k) ≠ ∞) :
     m (⋃ n, s n) = ⨆ n, m (s n) :=
   by
   refine' m.Union_of_tendsto_zero at_top _
@@ -274,7 +274,7 @@ instance : Add (OuterMeasure α) :=
       mono := fun s₁ s₂ h => add_le_add (m₁.mono h) (m₂.mono h)
       iUnion_nat := fun s =>
         calc
-          m₁ (⋃ i, s i) + m₂ (⋃ i, s i) ≤ (∑' i, m₁ (s i)) + ∑' i, m₂ (s i) :=
+          m₁ (⋃ i, s i) + m₂ (⋃ i, s i) ≤ ∑' i, m₁ (s i) + ∑' i, m₂ (s i) :=
             add_le_add (m₁.iUnion_nat s) (m₂.iUnion_nat s)
           _ = _ := ENNReal.tsum_add.symm }⟩
 
@@ -666,12 +666,12 @@ protected def ofFunction : OuterMeasure α :=
     iUnion_nat := fun s =>
       ENNReal.le_of_forall_pos_le_add <|
         by
-        intro ε hε (hb : (∑' i, μ (s i)) < ∞)
+        intro ε hε (hb : ∑' i, μ (s i) < ∞)
         rcases ENNReal.exists_pos_sum_of_countable (ENNReal.coe_pos.2 hε).ne' ℕ with ⟨ε', hε', hl⟩
         refine' le_trans _ (add_le_add_left (le_of_lt hl) _)
         rw [← ENNReal.tsum_add]
         choose f hf using
-          show ∀ i, ∃ f : ℕ → Set α, (s i ⊆ ⋃ i, f i) ∧ (∑' i, m (f i)) < μ (s i) + ε' i
+          show ∀ i, ∃ f : ℕ → Set α, (s i ⊆ ⋃ i, f i) ∧ ∑' i, m (f i) < μ (s i) + ε' i
             by
             intro
             have : μ (s i) < μ (s i) + ε' i :=
@@ -757,7 +757,7 @@ theorem ofFunction_union_of_top_of_nonempty_inter {s t : Set α}
           mem_Union.2 ⟨⟨i, ⟨x, hx, hi⟩⟩, hi⟩
       _ ≤ ∑' i : I u, μ (f i) := μ.Union _
   calc
-    μ s + μ t ≤ (∑' i : I s, μ (f i)) + ∑' i : I t, μ (f i) :=
+    μ s + μ t ≤ ∑' i : I s, μ (f i) + ∑' i : I t, μ (f i) :=
       add_le_add (hI _ <| subset_union_left _ _) (hI _ <| subset_union_right _ _)
     _ = ∑' i : I s ∪ I t, μ (f i) :=
       (@tsum_union_disjoint _ _ _ _ _ (fun i => μ (f i)) _ _ _ hd ENNReal.summable
@@ -1007,7 +1007,7 @@ theorem isCaratheodory_inter (h₁ : is_caratheodory s₁) (h₂ : is_caratheodo
 
 theorem isCaratheodory_sum {s : ℕ → Set α} (h : ∀ i, is_caratheodory (s i))
     (hd : Pairwise (Disjoint on s)) {t : Set α} :
-    ∀ {n}, (∑ i in Finset.range n, m (t ∩ s i)) = m (t ∩ ⋃ i < n, s i)
+    ∀ {n}, ∑ i in Finset.range n, m (t ∩ s i) = m (t ∩ ⋃ i < n, s i)
   | 0 => by simp [Nat.not_lt_zero, m.empty]
   | Nat.succ n =>
     by

mathlib commit https://github.com/leanprover-community/mathlib/commit/7e5137f579de09a059a5ce98f364a04e221aabf0

@@ -188,7 +188,6 @@ theorem iUnion_of_tendsto_zero {ι} (m : OuterMeasure α) {s : ι → Set α} (l
       m S = m (s k ∪ S \ s k) := by rw [union_diff_self, union_eq_self_of_subset_left hsS]
       _ ≤ m (s k) + m (S \ s k) := (m.union _ _)
       _ ≤ M + m (S \ s k) := add_le_add_right (le_iSup _ k) _
-      
   have B : tendsto (fun k => M + m (S \ s k)) l (𝓝 (M + 0)) := tendsto_const_nhds.add h0
   rw [add_zero] at B 
   exact ge_of_tendsto' B A
@@ -226,7 +225,6 @@ theorem diff_null (m : OuterMeasure α) (s : Set α) {t : Set α} (ht : m t = 0)
     m s ≤ m (s ∩ t) + m (s \ t) := le_inter_add_diff _
     _ ≤ m t + m (s \ t) := (add_le_add_right (m.mono <| inter_subset_right _ _) _)
     _ = m (s \ t) := by rw [ht, zero_add]
-    
 #align measure_theory.outer_measure.diff_null MeasureTheory.OuterMeasure.diff_null
 
 theorem union_null (m : OuterMeasure α) {s₁ s₂ : Set α} (h₁ : m s₁ = 0) (h₂ : m s₂ = 0) :
@@ -278,8 +276,7 @@ instance : Add (OuterMeasure α) :=
         calc
           m₁ (⋃ i, s i) + m₂ (⋃ i, s i) ≤ (∑' i, m₁ (s i)) + ∑' i, m₂ (s i) :=
             add_le_add (m₁.iUnion_nat s) (m₂.iUnion_nat s)
-          _ = _ := ENNReal.tsum_add.symm
-           }⟩
+          _ = _ := ENNReal.tsum_add.symm }⟩
 
 @[simp]
 theorem coe_add (m₁ m₂ : OuterMeasure α) : ⇑(m₁ + m₂) = m₁ + m₂ :=
@@ -396,8 +393,7 @@ instance : SupSet (OuterMeasure α) :=
           calc
             m (⋃ i, f i) ≤ ∑' i : ℕ, m (f i) := m.iUnion_nat _
             _ ≤ ∑' i, ⨆ m ∈ ms, (m : OuterMeasure α) (f i) :=
-              ENNReal.tsum_le_tsum fun i => le_iSup₂ m hm
-             }⟩
+              ENNReal.tsum_le_tsum fun i => le_iSup₂ m hm }⟩
 
 instance : CompleteLattice (OuterMeasure α) :=
   { OuterMeasure.orderBot,
@@ -501,7 +497,6 @@ def dirac (a : α) : OuterMeasure α
         indicator (⋃ n, s n) (fun _ => (1 : ℝ≥0∞)) a = 1 := indicator_of_mem hs _
         _ = indicator (s i) (fun _ => 1) a := (indicator_of_mem hi _).symm
         _ ≤ ∑' n, indicator (s n) (fun _ => 1) a := ENNReal.le_tsum _
-        
     else by simp only [indicator_of_not_mem hs, zero_le]
 #align measure_theory.outer_measure.dirac MeasureTheory.OuterMeasure.dirac
 -/
@@ -752,7 +747,6 @@ theorem ofFunction_union_of_top_of_nonempty_inter {s t : Set α}
       μ s + μ t ≤ ∞ := le_top
       _ = m (f i) := (h (f i) hs ht).symm
       _ ≤ ∑' i, m (f i) := ENNReal.le_tsum i
-      
   set I := fun s => {i : ℕ | (s ∩ f i).Nonempty}
   have hd : Disjoint (I s) (I t) := disjoint_iff_inf_le.mpr fun i hi => he ⟨i, hi⟩
   have hI : ∀ (u) (_ : u ⊆ s ∪ t), μ u ≤ ∑' i : I u, μ (f i) := fun u hu =>
@@ -762,7 +756,6 @@ theorem ofFunction_union_of_top_of_nonempty_inter {s t : Set α}
           let ⟨i, hi⟩ := mem_Union.1 (hf (hu hx))
           mem_Union.2 ⟨⟨i, ⟨x, hx, hi⟩⟩, hi⟩
       _ ≤ ∑' i : I u, μ (f i) := μ.Union _
-      
   calc
     μ s + μ t ≤ (∑' i : I s, μ (f i)) + ∑' i : I t, μ (f i) :=
       add_le_add (hI _ <| subset_union_left _ _) (hI _ <| subset_union_right _ _)
@@ -773,7 +766,6 @@ theorem ofFunction_union_of_top_of_nonempty_inter {s t : Set α}
       (tsum_le_tsum_of_inj coe Subtype.coe_injective (fun _ _ => zero_le _) (fun _ => le_rfl)
         ENNReal.summable ENNReal.summable)
     _ ≤ ∑' i, m (f i) := ENNReal.tsum_le_tsum fun i => of_function_le _
-    
 #align measure_theory.outer_measure.of_function_union_of_top_of_nonempty_inter MeasureTheory.OuterMeasure.ofFunction_union_of_top_of_nonempty_inter
 
 theorem comap_ofFunction {β} (f : β → α) (h : Monotone m ∨ Surjective f) :
@@ -1287,7 +1279,6 @@ theorem restrict_iInf_restrict {ι} (s : Set α) (m : ι → OuterMeasure α) :
       by rw [Subtype.range_coe]
     _ = map (coe : s → α) (⨅ i, comap coe (m i)) := (map_iInf Subtype.coe_injective _).symm
     _ = restrict s (⨅ i, m i) := congr_arg (map coe) (comap_iInf _ _).symm
-    
 #align measure_theory.outer_measure.restrict_infi_restrict MeasureTheory.OuterMeasure.restrict_iInf_restrict
 
 theorem restrict_iInf {ι} [Nonempty ι] (s : Set α) (m : ι → OuterMeasure α) :

mathlib commit https://github.com/leanprover-community/mathlib/commit/31c24aa72e7b3e5ed97a8412470e904f82b81004

@@ -152,7 +152,7 @@ protected theorem union (m : OuterMeasure α) (s₁ s₂ : Set α) : m (s₁ ∪
   rel_sup_add m m.Empty (· ≤ ·) m.iUnion_nat s₁ s₂
 #align measure_theory.outer_measure.union MeasureTheory.OuterMeasure.union
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (t «expr ⊆ » s) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:638:2: warning: expanding binder collection (t «expr ⊆ » s) -/
 /-- If a set has zero measure in a neighborhood of each of its points, then it has zero measure
 in a second-countable space. -/
 theorem null_of_locally_null [TopologicalSpace α] [SecondCountableTopology α] (m : OuterMeasure α)
@@ -732,7 +732,7 @@ theorem ofFunction_eq_sSup : OuterMeasure.ofFunction m m_empty = sSup {μ | ∀
   (@isGreatest_ofFunction α m m_empty).IsLUB.sSup_eq.symm
 #align measure_theory.outer_measure.of_function_eq_Sup MeasureTheory.OuterMeasure.ofFunction_eq_sSup
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (u «expr ⊆ » «expr ∪ »(s, t)) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:638:2: warning: expanding binder collection (u «expr ⊆ » «expr ∪ »(s, t)) -/
 /-- If `m u = ∞` for any set `u` that has nonempty intersection both with `s` and `t`, then
 `μ (s ∪ t) = μ s + μ t`, where `μ = measure_theory.outer_measure.of_function m m_empty`.
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/5f25c089cb34db4db112556f23c50d12da81b297

@@ -724,11 +724,11 @@ theorem le_ofFunction {μ : OuterMeasure α} :
 #align measure_theory.outer_measure.le_of_function MeasureTheory.OuterMeasure.le_ofFunction
 
 theorem isGreatest_ofFunction :
-    IsGreatest { μ : OuterMeasure α | ∀ s, μ s ≤ m s } (OuterMeasure.ofFunction m m_empty) :=
+    IsGreatest {μ : OuterMeasure α | ∀ s, μ s ≤ m s} (OuterMeasure.ofFunction m m_empty) :=
   ⟨fun s => ofFunction_le _, fun μ => le_ofFunction.2⟩
 #align measure_theory.outer_measure.is_greatest_of_function MeasureTheory.OuterMeasure.isGreatest_ofFunction
 
-theorem ofFunction_eq_sSup : OuterMeasure.ofFunction m m_empty = sSup { μ | ∀ s, μ s ≤ m s } :=
+theorem ofFunction_eq_sSup : OuterMeasure.ofFunction m m_empty = sSup {μ | ∀ s, μ s ≤ m s} :=
   (@isGreatest_ofFunction α m m_empty).IsLUB.sSup_eq.symm
 #align measure_theory.outer_measure.of_function_eq_Sup MeasureTheory.OuterMeasure.ofFunction_eq_sSup
 
@@ -753,7 +753,7 @@ theorem ofFunction_union_of_top_of_nonempty_inter {s t : Set α}
       _ = m (f i) := (h (f i) hs ht).symm
       _ ≤ ∑' i, m (f i) := ENNReal.le_tsum i
       
-  set I := fun s => { i : ℕ | (s ∩ f i).Nonempty }
+  set I := fun s => {i : ℕ | (s ∩ f i).Nonempty}
   have hd : Disjoint (I s) (I t) := disjoint_iff_inf_le.mpr fun i hi => he ⟨i, hi⟩
   have hI : ∀ (u) (_ : u ⊆ s ∪ t), μ u ≤ ∑' i : I u, μ (f i) := fun u hu =>
     calc
@@ -944,7 +944,7 @@ section CaratheodoryMeasurable
 
 universe u
 
-parameter {α : Type u}(m : OuterMeasure α)
+parameter {α : Type u} (m : OuterMeasure α)
 
 include m
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/cca40788df1b8755d5baf17ab2f27dacc2e17acb

@@ -159,7 +159,7 @@ theorem null_of_locally_null [TopologicalSpace α] [SecondCountableTopology α]
     (s : Set α) (hs : ∀ x ∈ s, ∃ u ∈ 𝓝[s] x, m u = 0) : m s = 0 :=
   by
   choose! u hxu hu₀ using hs
-  obtain ⟨t, ts, t_count, ht⟩ : ∃ (t : _)(_ : t ⊆ s), t.Countable ∧ s ⊆ ⋃ x ∈ t, u x :=
+  obtain ⟨t, ts, t_count, ht⟩ : ∃ (t : _) (_ : t ⊆ s), t.Countable ∧ s ⊆ ⋃ x ∈ t, u x :=
     TopologicalSpace.countable_cover_nhdsWithin hxu
   apply m.mono_null ht
   exact (m.bUnion_null_iff t_count).2 fun x hx => hu₀ x (ts hx)
@@ -170,7 +170,7 @@ theorem exists_mem_forall_mem_nhds_within_pos [TopologicalSpace α] [SecondCount
     (m : OuterMeasure α) {s : Set α} (hs : m s ≠ 0) : ∃ x ∈ s, ∀ t ∈ 𝓝[s] x, 0 < m t :=
   by
   contrapose! hs
-  simp only [nonpos_iff_eq_zero, ← exists_prop] at hs
+  simp only [nonpos_iff_eq_zero, ← exists_prop] at hs 
   exact m.null_of_locally_null s hs
 #align measure_theory.outer_measure.exists_mem_forall_mem_nhds_within_pos MeasureTheory.OuterMeasure.exists_mem_forall_mem_nhds_within_pos
 
@@ -190,7 +190,7 @@ theorem iUnion_of_tendsto_zero {ι} (m : OuterMeasure α) {s : ι → Set α} (l
       _ ≤ M + m (S \ s k) := add_le_add_right (le_iSup _ k) _
       
   have B : tendsto (fun k => M + m (S \ s k)) l (𝓝 (M + 0)) := tendsto_const_nhds.add h0
-  rw [add_zero] at B
+  rw [add_zero] at B 
   exact ge_of_tendsto' B A
 #align measure_theory.outer_measure.Union_of_tendsto_zero MeasureTheory.OuterMeasure.iUnion_of_tendsto_zero
 
@@ -235,7 +235,7 @@ theorem union_null (m : OuterMeasure α) {s₁ s₂ : Set α} (h₁ : m s₁ = 0
 
 #print MeasureTheory.OuterMeasure.coe_fn_injective /-
 theorem coe_fn_injective : Injective fun (μ : OuterMeasure α) (s : Set α) => μ s := fun μ₁ μ₂ h =>
-  by cases μ₁; cases μ₂; congr ; exact h
+  by cases μ₁; cases μ₂; congr; exact h
 #align measure_theory.outer_measure.coe_fn_injective MeasureTheory.OuterMeasure.coe_fn_injective
 -/
 
@@ -422,7 +422,7 @@ theorem coe_iSup {ι} (f : ι → OuterMeasure α) : ⇑(⨆ i, f i) = ⨆ i, f
 
 @[simp]
 theorem sup_apply (m₁ m₂ : OuterMeasure α) (s : Set α) : (m₁ ⊔ m₂) s = m₁ s ⊔ m₂ s := by
-  have := iSup_apply (fun b => cond b m₁ m₂) s <;> rwa [iSup_bool_eq, iSup_bool_eq] at this
+  have := iSup_apply (fun b => cond b m₁ m₂) s <;> rwa [iSup_bool_eq, iSup_bool_eq] at this 
 #align measure_theory.outer_measure.sup_apply MeasureTheory.OuterMeasure.sup_apply
 
 theorem smul_iSup [SMul R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞] {ι} (f : ι → OuterMeasure α) (c : R) :
@@ -671,7 +671,7 @@ protected def ofFunction : OuterMeasure α :=
     iUnion_nat := fun s =>
       ENNReal.le_of_forall_pos_le_add <|
         by
-        intro ε hε(hb : (∑' i, μ (s i)) < ∞)
+        intro ε hε (hb : (∑' i, μ (s i)) < ∞)
         rcases ENNReal.exists_pos_sum_of_countable (ENNReal.coe_pos.2 hε).ne' ℕ with ⟨ε', hε', hl⟩
         refine' le_trans _ (add_le_add_left (le_of_lt hl) _)
         rw [← ENNReal.tsum_add]
@@ -785,10 +785,10 @@ theorem comap_ofFunction {β} (f : β → α) (h : Monotone m ∨ Surjective f)
   · rw [comap_apply, of_function_apply, of_function_apply]
     refine' iInf_mono' fun t => ⟨fun k => f ⁻¹' t k, _⟩
     refine' iInf_mono' fun ht => _
-    rw [Set.image_subset_iff, preimage_Union] at ht
+    rw [Set.image_subset_iff, preimage_Union] at ht 
     refine' ⟨ht, ENNReal.tsum_le_tsum fun n => _⟩
     cases h
-    exacts[h (image_preimage_subset _ _), (congr_arg m (h.image_preimage (t n))).le]
+    exacts [h (image_preimage_subset _ _), (congr_arg m (h.image_preimage (t n))).le]
 #align measure_theory.outer_measure.comap_of_function MeasureTheory.OuterMeasure.comap_ofFunction
 
 theorem map_ofFunction_le {β} (f : α → β) :
@@ -1050,7 +1050,7 @@ theorem f_iUnion {s : ℕ → Set α} (h : ∀ i, is_caratheodory (s i)) (hd : P
   rw [ENNReal.tsum_eq_iSup_nat]
   refine' iSup_le fun n => _
   have := @is_caratheodory_sum _ m _ h hd univ n
-  simp at this; simp [this]
+  simp at this ; simp [this]
   exact m.mono (Union₂_subset fun i _ => subset_Union _ i)
 #align measure_theory.outer_measure.f_Union MeasureTheory.OuterMeasure.f_iUnion
 
@@ -1358,7 +1358,7 @@ theorem extend_eq_top {s : α} (h : ¬P s) : extend m s = ∞ := by simp [extend
 #align measure_theory.extend_eq_top MeasureTheory.extend_eq_top
 
 theorem le_extend {s : α} (h : P s) : m s h ≤ extend m s := by simp only [extend, le_iInf_iff];
-  intro ; rfl
+  intro; rfl
 #align measure_theory.le_extend MeasureTheory.le_extend
 
 #print MeasureTheory.extend_congr /-
@@ -1523,14 +1523,14 @@ theorem inducedOuterMeasure_preimage (f : α ≃ α) (Pm : ∀ s : Set α, P (f
 
 theorem inducedOuterMeasure_exists_set {s : Set α} (hs : inducedOuterMeasure m P0 m0 s ≠ ∞)
     {ε : ℝ≥0∞} (hε : ε ≠ 0) :
-    ∃ (t : Set α)(ht : P t),
+    ∃ (t : Set α) (ht : P t),
       s ⊆ t ∧ inducedOuterMeasure m P0 m0 t ≤ inducedOuterMeasure m P0 m0 s + ε :=
   by
   have := ENNReal.lt_add_right hs hε
   conv at this =>
     lhs
     rw [induced_outer_measure_eq_infi _ msU m_mono]
-  simp only [iInf_lt_iff] at this
+  simp only [iInf_lt_iff] at this 
   rcases this with ⟨t, h1t, h2t, h3t⟩
   exact
     ⟨t, h1t, h2t, le_trans (le_of_eq <| induced_outer_measure_eq' _ msU m_mono h1t) (le_of_lt h3t)⟩
@@ -1585,7 +1585,7 @@ theorem extend_mono {s₁ s₂ : Set α} (h₁ : MeasurableSet s₁) (hs : s₁
   have :=
     extend_union MeasurableSet.empty m0 MeasurableSet.iUnion mU disjoint_sdiff_self_right h₁
       (h₂.diff h₁)
-  rw [union_diff_cancel hs] at this
+  rw [union_diff_cancel hs] at this 
   rw [← extend_eq m]
   exact le_iff_exists_add.2 ⟨_, this⟩
 #align measure_theory.extend_mono MeasureTheory.extend_mono
@@ -1639,7 +1639,7 @@ theorem trim_eq {s : Set α} (hs : MeasurableSet s) : m.trim s = m s :=
 
 #print MeasureTheory.OuterMeasure.trim_congr /-
 theorem trim_congr {m₁ m₂ : OuterMeasure α} (H : ∀ {s : Set α}, MeasurableSet s → m₁ s = m₂ s) :
-    m₁.trim = m₂.trim := by unfold trim; congr ; funext s hs; exact H hs
+    m₁.trim = m₂.trim := by unfold trim; congr; funext s hs; exact H hs
 #align measure_theory.outer_measure.trim_congr MeasureTheory.OuterMeasure.trim_congr
 -/
 
@@ -1716,7 +1716,7 @@ theorem exists_measurable_superset_eq_trim (m : OuterMeasure α) (s : Set α) :
   simp only [trim_eq_infi]; set ms := ⨅ (t : Set α) (st : s ⊆ t) (ht : MeasurableSet t), m t
   by_cases hs : ms = ∞
   · simp only [hs]
-    simp only [iInf_eq_top] at hs
+    simp only [iInf_eq_top] at hs 
     exact ⟨univ, subset_univ s, MeasurableSet.univ, hs _ (subset_univ s) MeasurableSet.univ⟩
   · have : ∀ r > ms, ∃ t, s ⊆ t ∧ MeasurableSet t ∧ m t < r :=
       by
@@ -1731,7 +1731,7 @@ theorem exists_measurable_superset_eq_trim (m : OuterMeasure α) (s : Set α) :
     refine' ⟨⋂ n, t n, subset_Inter hsub, MeasurableSet.iInter hm, _⟩
     have : tendsto (fun n : ℕ => ms + n⁻¹) at_top (𝓝 (ms + 0)) :=
       tendsto_const_nhds.add ENNReal.tendsto_inv_nat_nhds_zero
-    rw [add_zero] at this
+    rw [add_zero] at this 
     refine' le_antisymm (ge_of_tendsto' this fun n => _) _
     · exact le_trans (m.mono' <| Inter_subset t n) (hm' n).le
     · refine' iInf_le_of_le (⋂ n, t n) _
@@ -1757,7 +1757,7 @@ theorem exists_measurable_superset_forall_eq_trim {ι} [Countable ι] (μ : ι 
   replace hst := subset_Inter hst
   replace ht := MeasurableSet.iInter ht
   refine' ⟨⋂ i, t i, hst, ht, fun i => le_antisymm _ _⟩
-  exacts[hμt i ▸ (μ i).mono (Inter_subset _ _), (mono' _ hst).trans_eq ((μ i).trim_eq ht)]
+  exacts [hμt i ▸ (μ i).mono (Inter_subset _ _), (mono' _ hst).trans_eq ((μ i).trim_eq ht)]
 #align measure_theory.outer_measure.exists_measurable_superset_forall_eq_trim MeasureTheory.OuterMeasure.exists_measurable_superset_forall_eq_trim
 -/
 
@@ -1768,7 +1768,7 @@ theorem trim_binop {m₁ m₂ m₃ : OuterMeasure α} {op : ℝ≥0∞ → ℝ
     (h : ∀ s, m₁ s = op (m₂ s) (m₃ s)) (s : Set α) : m₁.trim s = op (m₂.trim s) (m₃.trim s) :=
   by
   rcases exists_measurable_superset_forall_eq_trim ![m₁, m₂, m₃] s with ⟨t, hst, ht, htm⟩
-  simp only [Fin.forall_fin_succ, Matrix.cons_val_zero, Matrix.cons_val_succ] at htm
+  simp only [Fin.forall_fin_succ, Matrix.cons_val_zero, Matrix.cons_val_succ] at htm 
   rw [← htm.1, ← htm.2.1, ← htm.2.2.1, h]
 #align measure_theory.outer_measure.trim_binop MeasureTheory.OuterMeasure.trim_binop
 -/
@@ -1812,7 +1812,7 @@ theorem trim_iSup {ι} [Countable ι] (μ : ι → OuterMeasure α) : trim (⨆
   obtain ⟨t, hst, ht, hμt⟩ :=
     exists_measurable_superset_forall_eq_trim
       (Option.elim' (⨆ i, μ (PLift.down i)) (μ ∘ PLift.down)) s
-  simp only [Option.forall, Option.elim'] at hμt
+  simp only [Option.forall, Option.elim'] at hμt 
   simp only [iSup_apply, ← hμt.1, ← hμt.2]
 #align measure_theory.outer_measure.trim_supr MeasureTheory.OuterMeasure.trim_iSup
 -/
@@ -1826,7 +1826,7 @@ theorem restrict_trim {μ : OuterMeasure α} {s : Set α} (hs : MeasurableSet s)
   refine' le_antisymm (fun t => _) (le_trim_iff.2 fun t ht => _)
   · rw [restrict_apply]
     rcases μ.exists_measurable_superset_eq_trim (t ∩ s) with ⟨t', htt', ht', hμt'⟩
-    rw [← hμt']; rw [inter_subset] at htt'
+    rw [← hμt']; rw [inter_subset] at htt' 
     refine' (mono' _ htt').trans _
     rw [trim_eq _ (hs.compl.union ht'), restrict_apply, union_inter_distrib_right, compl_inter_self,
       Set.empty_union]

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

@@ -65,7 +65,7 @@ open Set Function Filter
 
 open TopologicalSpace (SecondCountableTopology)
 
-open Classical BigOperators NNReal Topology ENNReal MeasureTheory
+open scoped Classical BigOperators NNReal Topology ENNReal MeasureTheory
 
 namespace MeasureTheory
 
@@ -373,10 +373,12 @@ instance MeasureTheory.OuterMeasure.instPartialOrder : PartialOrder (OuterMeasur
 #align measure_theory.outer_measure.outer_measure.partial_order MeasureTheory.OuterMeasure.instPartialOrder
 -/
 
+#print MeasureTheory.OuterMeasure.OuterMeasure.orderBot /-
 instance OuterMeasure.orderBot : OrderBot (OuterMeasure α) :=
   { OuterMeasure.instBot with
     bot_le := fun a s => by simp only [coe_zero, Pi.zero_apply, coe_bot, zero_le] }
 #align measure_theory.outer_measure.outer_measure.order_bot MeasureTheory.OuterMeasure.OuterMeasure.orderBot
+-/
 
 theorem univ_eq_zero_iff (m : OuterMeasure α) : m univ = 0 ↔ m = 0 :=
   ⟨fun h => bot_unique fun s => (m.mono' <| subset_univ s).trans_eq h, fun h => h.symm ▸ rfl⟩
@@ -1622,9 +1624,11 @@ def trim : OuterMeasure α :=
 #align measure_theory.outer_measure.trim MeasureTheory.OuterMeasure.trim
 -/
 
+#print MeasureTheory.OuterMeasure.le_trim /-
 theorem le_trim : m ≤ m.trim :=
   le_ofFunction.mpr fun s => le_iInf fun _ => le_rfl
 #align measure_theory.outer_measure.le_trim MeasureTheory.OuterMeasure.le_trim
+-/
 
 #print MeasureTheory.OuterMeasure.trim_eq /-
 theorem trim_eq {s : Set α} (hs : MeasurableSet s) : m.trim s = m s :=
@@ -1696,12 +1700,14 @@ theorem trim_zero : (0 : OuterMeasure α).trim = 0 :=
 #align measure_theory.outer_measure.trim_zero MeasureTheory.OuterMeasure.trim_zero
 -/
 
+#print MeasureTheory.OuterMeasure.trim_sum_ge /-
 theorem trim_sum_ge {ι} (m : ι → OuterMeasure α) : (sum fun i => (m i).trim) ≤ (sum m).trim :=
   fun s => by
   simp [trim_eq_infi] <;>
     exact fun t st ht =>
       ENNReal.tsum_le_tsum fun i => iInf_le_of_le t <| iInf_le_of_le st <| iInf_le _ ht
 #align measure_theory.outer_measure.trim_sum_ge MeasureTheory.OuterMeasure.trim_sum_ge
+-/
 
 #print MeasureTheory.OuterMeasure.exists_measurable_superset_eq_trim /-
 theorem exists_measurable_superset_eq_trim (m : OuterMeasure α) (s : Set α) :

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

@@ -93,87 +93,39 @@ theorem measureOf_eq_coe (m : OuterMeasure α) : m.measureOf = m :=
   rfl
 #align measure_theory.outer_measure.measure_of_eq_coe MeasureTheory.OuterMeasure.measureOf_eq_coe
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.empty' MeasureTheory.OuterMeasure.empty'ₓ'. -/
 @[simp]
 theorem empty' (m : OuterMeasure α) : m ∅ = 0 :=
   m.Empty
 #align measure_theory.outer_measure.empty' MeasureTheory.OuterMeasure.empty'
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.mono' MeasureTheory.OuterMeasure.mono'ₓ'. -/
 theorem mono' (m : OuterMeasure α) {s₁ s₂} (h : s₁ ⊆ s₂) : m s₁ ≤ m s₂ :=
   m.mono h
 #align measure_theory.outer_measure.mono' MeasureTheory.OuterMeasure.mono'
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.mono_null MeasureTheory.OuterMeasure.mono_nullₓ'. -/
 theorem mono_null (m : OuterMeasure α) {s t} (h : s ⊆ t) (ht : m t = 0) : m s = 0 :=
   nonpos_iff_eq_zero.mp <| ht ▸ m.mono' h
 #align measure_theory.outer_measure.mono_null MeasureTheory.OuterMeasure.mono_null
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.pos_of_subset_ne_zero MeasureTheory.OuterMeasure.pos_of_subset_ne_zeroₓ'. -/
 theorem pos_of_subset_ne_zero (m : OuterMeasure α) {a b : Set α} (hs : a ⊆ b) (hnz : m a ≠ 0) :
     0 < m b :=
   lt_of_lt_of_le (pos_iff_ne_zero.mpr hnz) (m.mono hs)
 #align measure_theory.outer_measure.pos_of_subset_ne_zero MeasureTheory.OuterMeasure.pos_of_subset_ne_zero
 
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 protected theorem iUnion (m : OuterMeasure α) {β} [Countable β] (s : β → Set α) :
     m (⋃ i, s i) ≤ ∑' i, m (s i) :=
   rel_iSup_tsum m m.Empty (· ≤ ·) m.iUnion_nat s
 #align measure_theory.outer_measure.Union MeasureTheory.OuterMeasure.iUnion
 
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 theorem iUnion_null [Countable β] (m : OuterMeasure α) {s : β → Set α} (h : ∀ i, m (s i) = 0) :
     m (⋃ i, s i) = 0 := by simpa [h] using m.Union s
 #align measure_theory.outer_measure.Union_null MeasureTheory.OuterMeasure.iUnion_null
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Union_null_iff MeasureTheory.OuterMeasure.iUnion_null_iffₓ'. -/
 @[simp]
 theorem iUnion_null_iff [Countable β] (m : OuterMeasure α) {s : β → Set α} :
     m (⋃ i, s i) = 0 ↔ ∀ i, m (s i) = 0 :=
   ⟨fun h i => m.mono_null (subset_iUnion _ _) h, m.iUnion_null⟩
 #align measure_theory.outer_measure.Union_null_iff MeasureTheory.OuterMeasure.iUnion_null_iff
 
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 /-- A version of `Union_null_iff` for unions indexed by Props.
 TODO: in the long run it would be better to combine this with `Union_null_iff` by
 generalising to `Sort`. -/
@@ -182,54 +134,24 @@ theorem iUnion_null_iff' (m : OuterMeasure α) {ι : Prop} {s : ι → Set α} :
     m (⋃ i, s i) = 0 ↔ ∀ i, m (s i) = 0 := by by_cases i : ι <;> simp [i]
 #align measure_theory.outer_measure.Union_null_iff' MeasureTheory.OuterMeasure.iUnion_null_iff'
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.bUnion_null_iff MeasureTheory.OuterMeasure.biUnion_null_iffₓ'. -/
 theorem biUnion_null_iff (m : OuterMeasure α) {s : Set β} (hs : s.Countable) {t : β → Set α} :
     m (⋃ i ∈ s, t i) = 0 ↔ ∀ i ∈ s, m (t i) = 0 := by haveI := hs.to_encodable;
   rw [bUnion_eq_Union, Union_null_iff, SetCoe.forall']
 #align measure_theory.outer_measure.bUnion_null_iff MeasureTheory.OuterMeasure.biUnion_null_iff
 
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 theorem sUnion_null_iff (m : OuterMeasure α) {S : Set (Set α)} (hS : S.Countable) :
     m (⋃₀ S) = 0 ↔ ∀ s ∈ S, m s = 0 := by rw [sUnion_eq_bUnion, m.bUnion_null_iff hS]
 #align measure_theory.outer_measure.sUnion_null_iff MeasureTheory.OuterMeasure.sUnion_null_iff
 
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 protected theorem iUnion_finset (m : OuterMeasure α) (s : β → Set α) (t : Finset β) :
     m (⋃ i ∈ t, s i) ≤ ∑ i in t, m (s i) :=
   rel_iSup_sum m m.Empty (· ≤ ·) m.iUnion_nat s t
 #align measure_theory.outer_measure.Union_finset MeasureTheory.OuterMeasure.iUnion_finset
 
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 protected theorem union (m : OuterMeasure α) (s₁ s₂ : Set α) : m (s₁ ∪ s₂) ≤ m s₁ + m s₂ :=
   rel_sup_add m m.Empty (· ≤ ·) m.iUnion_nat s₁ s₂
 #align measure_theory.outer_measure.union MeasureTheory.OuterMeasure.union
 
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 /- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (t «expr ⊆ » s) -/
 /-- If a set has zero measure in a neighborhood of each of its points, then it has zero measure
 in a second-countable space. -/
@@ -243,12 +165,6 @@ theorem null_of_locally_null [TopologicalSpace α] [SecondCountableTopology α]
   exact (m.bUnion_null_iff t_count).2 fun x hx => hu₀ x (ts hx)
 #align measure_theory.outer_measure.null_of_locally_null MeasureTheory.OuterMeasure.null_of_locally_null
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.exists_mem_forall_mem_nhds_within_pos MeasureTheory.OuterMeasure.exists_mem_forall_mem_nhds_within_posₓ'. -/
 /-- If `m s ≠ 0`, then for some point `x ∈ s` and any `t ∈ 𝓝[s] x` we have `0 < m t`. -/
 theorem exists_mem_forall_mem_nhds_within_pos [TopologicalSpace α] [SecondCountableTopology α]
     (m : OuterMeasure α) {s : Set α} (hs : m s ≠ 0) : ∃ x ∈ s, ∀ t ∈ 𝓝[s] x, 0 < m t :=
@@ -258,12 +174,6 @@ theorem exists_mem_forall_mem_nhds_within_pos [TopologicalSpace α] [SecondCount
   exact m.null_of_locally_null s hs
 #align measure_theory.outer_measure.exists_mem_forall_mem_nhds_within_pos MeasureTheory.OuterMeasure.exists_mem_forall_mem_nhds_within_pos
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Union_of_tendsto_zero MeasureTheory.OuterMeasure.iUnion_of_tendsto_zeroₓ'. -/
 /-- If `s : ι → set α` is a sequence of sets, `S = ⋃ n, s n`, and `m (S \ s n)` tends to zero along
 some nontrivial filter (usually `at_top` on `ι = ℕ`), then `m S = ⨆ n, m (s n)`. -/
 theorem iUnion_of_tendsto_zero {ι} (m : OuterMeasure α) {s : ι → Set α} (l : Filter ι) [NeBot l]
@@ -284,12 +194,6 @@ theorem iUnion_of_tendsto_zero {ι} (m : OuterMeasure α) {s : ι → Set α} (l
   exact ge_of_tendsto' B A
 #align measure_theory.outer_measure.Union_of_tendsto_zero MeasureTheory.OuterMeasure.iUnion_of_tendsto_zero
 
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 /-- If `s : ℕ → set α` is a monotone sequence of sets such that `∑' k, m (s (k + 1) \ s k) ≠ ∞`,
 then `m (⋃ n, s n) = ⨆ n, m (s n)`. -/
 theorem iUnion_nat_of_monotone_of_tsum_ne_top (m : OuterMeasure α) {s : ℕ → Set α}
@@ -311,22 +215,10 @@ theorem iUnion_nat_of_monotone_of_tsum_ne_top (m : OuterMeasure α) {s : ℕ →
   · rw [← Nat.succ_le_iff, Nat.succ_eq_add_one, this]
 #align measure_theory.outer_measure.Union_nat_of_monotone_of_tsum_ne_top MeasureTheory.OuterMeasure.iUnion_nat_of_monotone_of_tsum_ne_top
 
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 theorem le_inter_add_diff {m : OuterMeasure α} {t : Set α} (s : Set α) :
     m t ≤ m (t ∩ s) + m (t \ s) := by convert m.union _ _; rw [inter_union_diff t s]
 #align measure_theory.outer_measure.le_inter_add_diff MeasureTheory.OuterMeasure.le_inter_add_diff
 
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 theorem diff_null (m : OuterMeasure α) (s : Set α) {t : Set α} (ht : m t = 0) : m (s \ t) = m s :=
   by
   refine' le_antisymm (m.mono <| diff_subset _ _) _
@@ -337,12 +229,6 @@ theorem diff_null (m : OuterMeasure α) (s : Set α) {t : Set α} (ht : m t = 0)
     
 #align measure_theory.outer_measure.diff_null MeasureTheory.OuterMeasure.diff_null
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.union_null MeasureTheory.OuterMeasure.union_nullₓ'. -/
 theorem union_null (m : OuterMeasure α) {s₁ s₂ : Set α} (h₁ : m s₁ = 0) (h₂ : m s₂ = 0) :
     m (s₁ ∪ s₂) = 0 := by simpa [h₁, h₂] using m.union s₁ s₂
 #align measure_theory.outer_measure.union_null MeasureTheory.OuterMeasure.union_null
@@ -375,12 +261,6 @@ instance : Zero (OuterMeasure α) :=
       mono := fun _ _ _ => le_refl 0
       iUnion_nat := fun s => zero_le _ }⟩
 
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 @[simp]
 theorem coe_zero : ⇑(0 : OuterMeasure α) = 0 :=
   rfl
@@ -401,23 +281,11 @@ instance : Add (OuterMeasure α) :=
           _ = _ := ENNReal.tsum_add.symm
            }⟩
 
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 @[simp]
 theorem coe_add (m₁ m₂ : OuterMeasure α) : ⇑(m₁ + m₂) = m₁ + m₂ :=
   rfl
 #align measure_theory.outer_measure.coe_add MeasureTheory.OuterMeasure.coe_add
 
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 theorem add_apply (m₁ m₂ : OuterMeasure α) (s : Set α) : (m₁ + m₂) s = m₁ s + m₂ s :=
   rfl
 #align measure_theory.outer_measure.add_apply MeasureTheory.OuterMeasure.add_apply
@@ -440,23 +308,11 @@ instance : SMul R (OuterMeasure α) :=
         simp_rw [← smul_one_mul c (m _), ENNReal.tsum_mul_left]
         exact ENNReal.mul_left_mono (m.Union _) }⟩
 
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 @[simp]
 theorem coe_smul (c : R) (m : OuterMeasure α) : ⇑(c • m) = c • m :=
   rfl
 #align measure_theory.outer_measure.coe_smul MeasureTheory.OuterMeasure.coe_smul
 
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 theorem smul_apply (c : R) (m : OuterMeasure α) (s : Set α) : (c • m) s = c • m s :=
   rfl
 #align measure_theory.outer_measure.smul_apply MeasureTheory.OuterMeasure.smul_apply
@@ -517,23 +373,11 @@ instance MeasureTheory.OuterMeasure.instPartialOrder : PartialOrder (OuterMeasur
 #align measure_theory.outer_measure.outer_measure.partial_order MeasureTheory.OuterMeasure.instPartialOrder
 -/
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.outer_measure.order_bot MeasureTheory.OuterMeasure.OuterMeasure.orderBotₓ'. -/
 instance OuterMeasure.orderBot : OrderBot (OuterMeasure α) :=
   { OuterMeasure.instBot with
     bot_le := fun a s => by simp only [coe_zero, Pi.zero_apply, coe_bot, zero_le] }
 #align measure_theory.outer_measure.outer_measure.order_bot MeasureTheory.OuterMeasure.OuterMeasure.orderBot
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.univ_eq_zero_iff MeasureTheory.OuterMeasure.univ_eq_zero_iffₓ'. -/
 theorem univ_eq_zero_iff (m : OuterMeasure α) : m univ = 0 ↔ m = 0 :=
   ⟨fun h => bot_unique fun s => (m.mono' <| subset_univ s).trans_eq h, fun h => h.symm ▸ rfl⟩
 #align measure_theory.outer_measure.univ_eq_zero_iff MeasureTheory.OuterMeasure.univ_eq_zero_iff
@@ -558,57 +402,27 @@ instance : CompleteLattice (OuterMeasure α) :=
     completeLatticeOfSup (OuterMeasure α) fun ms =>
       ⟨fun m hm s => le_iSup₂ m hm, fun m hm s => iSup₂_le fun m' hm' => hm hm' s⟩ with }
 
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 @[simp]
 theorem sSup_apply (ms : Set (OuterMeasure α)) (s : Set α) :
     (sSup ms) s = ⨆ m ∈ ms, (m : OuterMeasure α) s :=
   rfl
 #align measure_theory.outer_measure.Sup_apply MeasureTheory.OuterMeasure.sSup_apply
 
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 @[simp]
 theorem iSup_apply {ι} (f : ι → OuterMeasure α) (s : Set α) : (⨆ i : ι, f i) s = ⨆ i, f i s := by
   rw [iSup, sSup_apply, iSup_range, iSup]
 #align measure_theory.outer_measure.supr_apply MeasureTheory.OuterMeasure.iSup_apply
 
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 @[norm_cast]
 theorem coe_iSup {ι} (f : ι → OuterMeasure α) : ⇑(⨆ i, f i) = ⨆ i, f i :=
   funext fun s => by rw [iSup_apply, _root_.supr_apply]
 #align measure_theory.outer_measure.coe_supr MeasureTheory.OuterMeasure.coe_iSup
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.sup_apply MeasureTheory.OuterMeasure.sup_applyₓ'. -/
 @[simp]
 theorem sup_apply (m₁ m₂ : OuterMeasure α) (s : Set α) : (m₁ ⊔ m₂) s = m₁ s ⊔ m₂ s := by
   have := iSup_apply (fun b => cond b m₁ m₂) s <;> rwa [iSup_bool_eq, iSup_bool_eq] at this
 #align measure_theory.outer_measure.sup_apply MeasureTheory.OuterMeasure.sup_apply
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.smul_supr MeasureTheory.OuterMeasure.smul_iSupₓ'. -/
 theorem smul_iSup [SMul R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞] {ι} (f : ι → OuterMeasure α) (c : R) :
     (c • ⨆ i, f i) = ⨆ i, c • f i :=
   ext fun s => by simp only [smul_apply, iSup_apply, ENNReal.smul_iSup]
@@ -616,24 +430,12 @@ theorem smul_iSup [SMul R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞] {
 
 end Supremum
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.mono'' MeasureTheory.OuterMeasure.mono''ₓ'. -/
 @[mono]
 theorem mono'' {m₁ m₂ : OuterMeasure α} {s₁ s₂ : Set α} (hm : m₁ ≤ m₂) (hs : s₁ ⊆ s₂) :
     m₁ s₁ ≤ m₂ s₂ :=
   (hm s₁).trans (m₂.mono hs)
 #align measure_theory.outer_measure.mono'' MeasureTheory.OuterMeasure.mono''
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map MeasureTheory.OuterMeasure.mapₓ'. -/
 /-- The pushforward of `m` along `f`. The outer measure on `s` is defined to be `m (f ⁻¹' s)`. -/
 def map {β} (f : α → β) : OuterMeasure α →ₗ[ℝ≥0∞] OuterMeasure β
     where
@@ -646,49 +448,31 @@ def map {β} (f : α → β) : OuterMeasure α →ₗ[ℝ≥0∞] OuterMeasure 
   map_smul' c m := coe_fn_injective rfl
 #align measure_theory.outer_measure.map MeasureTheory.OuterMeasure.map
 
-/- warning: measure_theory.outer_measure.map_apply -> MeasureTheory.OuterMeasure.map_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_apply MeasureTheory.OuterMeasure.map_applyₓ'. -/
 @[simp]
 theorem map_apply {β} (f : α → β) (m : OuterMeasure α) (s : Set β) : map f m s = m (f ⁻¹' s) :=
   rfl
 #align measure_theory.outer_measure.map_apply MeasureTheory.OuterMeasure.map_apply
 
-/- warning: measure_theory.outer_measure.map_id -> MeasureTheory.OuterMeasure.map_id is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_id MeasureTheory.OuterMeasure.map_idₓ'. -/
 @[simp]
 theorem map_id (m : OuterMeasure α) : map id m = m :=
   ext fun s => rfl
 #align measure_theory.outer_measure.map_id MeasureTheory.OuterMeasure.map_id
 
-/- warning: measure_theory.outer_measure.map_map -> MeasureTheory.OuterMeasure.map_map is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_map MeasureTheory.OuterMeasure.map_mapₓ'. -/
 @[simp]
 theorem map_map {β γ} (f : α → β) (g : β → γ) (m : OuterMeasure α) :
     map g (map f m) = map (g ∘ f) m :=
   ext fun s => rfl
 #align measure_theory.outer_measure.map_map MeasureTheory.OuterMeasure.map_map
 
-/- warning: measure_theory.outer_measure.map_mono -> MeasureTheory.OuterMeasure.map_mono is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_mono MeasureTheory.OuterMeasure.map_monoₓ'. -/
 @[mono]
 theorem map_mono {β} (f : α → β) : Monotone (map f) := fun m m' h s => h _
 #align measure_theory.outer_measure.map_mono MeasureTheory.OuterMeasure.map_mono
 
-/- warning: measure_theory.outer_measure.map_sup -> MeasureTheory.OuterMeasure.map_sup is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_sup MeasureTheory.OuterMeasure.map_supₓ'. -/
 @[simp]
 theorem map_sup {β} (f : α → β) (m m' : OuterMeasure α) : map f (m ⊔ m') = map f m ⊔ map f m' :=
   ext fun s => by simp only [map_apply, sup_apply]
 #align measure_theory.outer_measure.map_sup MeasureTheory.OuterMeasure.map_sup
 
-/- warning: measure_theory.outer_measure.map_supr -> MeasureTheory.OuterMeasure.map_iSup is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_supr MeasureTheory.OuterMeasure.map_iSupₓ'. -/
 @[simp]
 theorem map_iSup {β ι} (f : α → β) (m : ι → OuterMeasure α) : map f (⨆ i, m i) = ⨆ i, map f (m i) :=
   ext fun s => by simp only [map_apply, iSup_apply]
@@ -720,12 +504,6 @@ def dirac (a : α) : OuterMeasure α
 #align measure_theory.outer_measure.dirac MeasureTheory.OuterMeasure.dirac
 -/
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.dirac_apply MeasureTheory.OuterMeasure.dirac_applyₓ'. -/
 @[simp]
 theorem dirac_apply (a : α) (s : Set α) : dirac a s = indicator s (fun _ => 1) a :=
   rfl
@@ -743,34 +521,16 @@ def sum {ι} (f : ι → OuterMeasure α) : OuterMeasure α
 #align measure_theory.outer_measure.sum MeasureTheory.OuterMeasure.sum
 -/
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.sum_apply MeasureTheory.OuterMeasure.sum_applyₓ'. -/
 @[simp]
 theorem sum_apply {ι} (f : ι → OuterMeasure α) (s : Set α) : sum f s = ∑' i, f i s :=
   rfl
 #align measure_theory.outer_measure.sum_apply MeasureTheory.OuterMeasure.sum_apply
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.smul_dirac_apply MeasureTheory.OuterMeasure.smul_dirac_applyₓ'. -/
 theorem smul_dirac_apply (a : ℝ≥0∞) (b : α) (s : Set α) :
     (a • dirac b) s = indicator s (fun _ => a) b := by
   simp only [smul_apply, smul_eq_mul, dirac_apply, ← indicator_mul_right _ fun _ => a, mul_one]
 #align measure_theory.outer_measure.smul_dirac_apply MeasureTheory.OuterMeasure.smul_dirac_apply
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap MeasureTheory.OuterMeasure.comapₓ'. -/
 /-- Pullback of an `outer_measure`: `comap f μ s = μ (f '' s)`. -/
 def comap {β} (f : α → β) : OuterMeasure β →ₗ[ℝ≥0∞] OuterMeasure α
     where
@@ -783,176 +543,104 @@ def comap {β} (f : α → β) : OuterMeasure β →ₗ[ℝ≥0∞] OuterMeasure
   map_smul' c m := rfl
 #align measure_theory.outer_measure.comap MeasureTheory.OuterMeasure.comap
 
-/- warning: measure_theory.outer_measure.comap_apply -> MeasureTheory.OuterMeasure.comap_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_apply MeasureTheory.OuterMeasure.comap_applyₓ'. -/
 @[simp]
 theorem comap_apply {β} (f : α → β) (m : OuterMeasure β) (s : Set α) : comap f m s = m (f '' s) :=
   rfl
 #align measure_theory.outer_measure.comap_apply MeasureTheory.OuterMeasure.comap_apply
 
-/- warning: measure_theory.outer_measure.comap_mono -> MeasureTheory.OuterMeasure.comap_mono is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_mono MeasureTheory.OuterMeasure.comap_monoₓ'. -/
 @[mono]
 theorem comap_mono {β} (f : α → β) : Monotone (comap f) := fun m m' h s => h _
 #align measure_theory.outer_measure.comap_mono MeasureTheory.OuterMeasure.comap_mono
 
-/- warning: measure_theory.outer_measure.comap_supr -> MeasureTheory.OuterMeasure.comap_iSup is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_supr MeasureTheory.OuterMeasure.comap_iSupₓ'. -/
 @[simp]
 theorem comap_iSup {β ι} (f : α → β) (m : ι → OuterMeasure β) :
     comap f (⨆ i, m i) = ⨆ i, comap f (m i) :=
   ext fun s => by simp only [comap_apply, iSup_apply]
 #align measure_theory.outer_measure.comap_supr MeasureTheory.OuterMeasure.comap_iSup
 
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-  forall {α : Type.{u1}}, (Set.{u1} α) -> (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict MeasureTheory.OuterMeasure.restrictₓ'. -/
 /-- Restrict an `outer_measure` to a set. -/
 def restrict (s : Set α) : OuterMeasure α →ₗ[ℝ≥0∞] OuterMeasure α :=
   (map coe).comp (comap (coe : s → α))
 #align measure_theory.outer_measure.restrict MeasureTheory.OuterMeasure.restrict
 
-/- warning: measure_theory.outer_measure.restrict_apply -> MeasureTheory.OuterMeasure.restrict_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_apply MeasureTheory.OuterMeasure.restrict_applyₓ'. -/
 @[simp]
 theorem restrict_apply (s t : Set α) (m : OuterMeasure α) : restrict s m t = m (t ∩ s) := by
   simp [restrict]
 #align measure_theory.outer_measure.restrict_apply MeasureTheory.OuterMeasure.restrict_apply
 
-/- warning: measure_theory.outer_measure.restrict_mono -> MeasureTheory.OuterMeasure.restrict_mono is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_mono MeasureTheory.OuterMeasure.restrict_monoₓ'. -/
 @[mono]
 theorem restrict_mono {s t : Set α} (h : s ⊆ t) {m m' : OuterMeasure α} (hm : m ≤ m') :
     restrict s m ≤ restrict t m' := fun u => by simp only [restrict_apply];
   exact (hm _).trans (m'.mono <| inter_subset_inter_right _ h)
 #align measure_theory.outer_measure.restrict_mono MeasureTheory.OuterMeasure.restrict_mono
 
-/- warning: measure_theory.outer_measure.restrict_univ -> MeasureTheory.OuterMeasure.restrict_univ is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_univ MeasureTheory.OuterMeasure.restrict_univₓ'. -/
 @[simp]
 theorem restrict_univ (m : OuterMeasure α) : restrict univ m = m :=
   ext fun s => by simp
 #align measure_theory.outer_measure.restrict_univ MeasureTheory.OuterMeasure.restrict_univ
 
-/- warning: measure_theory.outer_measure.restrict_empty -> MeasureTheory.OuterMeasure.restrict_empty is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_empty MeasureTheory.OuterMeasure.restrict_emptyₓ'. -/
 @[simp]
 theorem restrict_empty (m : OuterMeasure α) : restrict ∅ m = 0 :=
   ext fun s => by simp
 #align measure_theory.outer_measure.restrict_empty MeasureTheory.OuterMeasure.restrict_empty
 
-/- warning: measure_theory.outer_measure.restrict_supr -> MeasureTheory.OuterMeasure.restrict_iSup is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_supr MeasureTheory.OuterMeasure.restrict_iSupₓ'. -/
 @[simp]
 theorem restrict_iSup {ι} (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨆ i, m i) = ⨆ i, restrict s (m i) := by simp [restrict]
 #align measure_theory.outer_measure.restrict_supr MeasureTheory.OuterMeasure.restrict_iSup
 
-/- warning: measure_theory.outer_measure.map_comap -> MeasureTheory.OuterMeasure.map_comap is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_comap MeasureTheory.OuterMeasure.map_comapₓ'. -/
 theorem map_comap {β} (f : α → β) (m : OuterMeasure β) : map f (comap f m) = restrict (range f) m :=
   ext fun s => congr_arg m <| by simp only [image_preimage_eq_inter_range, Subtype.range_coe]
 #align measure_theory.outer_measure.map_comap MeasureTheory.OuterMeasure.map_comap
 
-/- warning: measure_theory.outer_measure.map_comap_le -> MeasureTheory.OuterMeasure.map_comap_le is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_comap_le MeasureTheory.OuterMeasure.map_comap_leₓ'. -/
 theorem map_comap_le {β} (f : α → β) (m : OuterMeasure β) : map f (comap f m) ≤ m := fun s =>
   m.mono <| image_preimage_subset _ _
 #align measure_theory.outer_measure.map_comap_le MeasureTheory.OuterMeasure.map_comap_le
 
-/- warning: measure_theory.outer_measure.restrict_le_self -> MeasureTheory.OuterMeasure.restrict_le_self is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_le_self MeasureTheory.OuterMeasure.restrict_le_selfₓ'. -/
 theorem restrict_le_self (m : OuterMeasure α) (s : Set α) : restrict s m ≤ m :=
   map_comap_le _ _
 #align measure_theory.outer_measure.restrict_le_self MeasureTheory.OuterMeasure.restrict_le_self
 
-/- warning: measure_theory.outer_measure.map_le_restrict_range -> MeasureTheory.OuterMeasure.map_le_restrict_range is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_le_restrict_range MeasureTheory.OuterMeasure.map_le_restrict_rangeₓ'. -/
 @[simp]
 theorem map_le_restrict_range {β} {ma : OuterMeasure α} {mb : OuterMeasure β} {f : α → β} :
     map f ma ≤ restrict (range f) mb ↔ map f ma ≤ mb :=
   ⟨fun h => h.trans (restrict_le_self _ _), fun h s => by simpa using h (s ∩ range f)⟩
 #align measure_theory.outer_measure.map_le_restrict_range MeasureTheory.OuterMeasure.map_le_restrict_range
 
-/- warning: measure_theory.outer_measure.map_comap_of_surjective -> MeasureTheory.OuterMeasure.map_comap_of_surjective is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_comap_of_surjective MeasureTheory.OuterMeasure.map_comap_of_surjectiveₓ'. -/
 theorem map_comap_of_surjective {β} {f : α → β} (hf : Surjective f) (m : OuterMeasure β) :
     map f (comap f m) = m :=
   ext fun s => by rw [map_apply, comap_apply, hf.image_preimage]
 #align measure_theory.outer_measure.map_comap_of_surjective MeasureTheory.OuterMeasure.map_comap_of_surjective
 
-/- warning: measure_theory.outer_measure.le_comap_map -> MeasureTheory.OuterMeasure.le_comap_map is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_comap_map MeasureTheory.OuterMeasure.le_comap_mapₓ'. -/
 theorem le_comap_map {β} (f : α → β) (m : OuterMeasure α) : m ≤ comap f (map f m) := fun s =>
   m.mono <| subset_preimage_image _ _
 #align measure_theory.outer_measure.le_comap_map MeasureTheory.OuterMeasure.le_comap_map
 
-/- warning: measure_theory.outer_measure.comap_map -> MeasureTheory.OuterMeasure.comap_map is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_map MeasureTheory.OuterMeasure.comap_mapₓ'. -/
 theorem comap_map {β} {f : α → β} (hf : Injective f) (m : OuterMeasure α) : comap f (map f m) = m :=
   ext fun s => by rw [comap_apply, map_apply, hf.preimage_image]
 #align measure_theory.outer_measure.comap_map MeasureTheory.OuterMeasure.comap_map
 
-/- warning: measure_theory.outer_measure.top_apply -> MeasureTheory.OuterMeasure.top_apply is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} {s : Set.{u1} α}, (Set.Nonempty.{u1} α s) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toHasTop.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) s) (Top.top.{0} ENNReal (CompleteLattice.toHasTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))
-but is expected to have type
-  forall {α : Type.{u1}} {s : Set.{u1} α}, (Set.Nonempty.{u1} α s) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toTop.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) s) (Top.top.{0} ENNReal (CompleteLattice.toTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.top_apply MeasureTheory.OuterMeasure.top_applyₓ'. -/
 @[simp]
 theorem top_apply {s : Set α} (h : s.Nonempty) : (⊤ : OuterMeasure α) s = ∞ :=
   let ⟨a, as⟩ := h
   top_unique <| le_trans (by simp [smul_dirac_apply, as]) (le_iSup₂ (∞ • dirac a) trivial)
 #align measure_theory.outer_measure.top_apply MeasureTheory.OuterMeasure.top_apply
 
-/- warning: measure_theory.outer_measure.top_apply' -> MeasureTheory.OuterMeasure.top_apply' is a dubious translation:
-lean 3 declaration is
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-but is expected to have type
-  forall {α : Type.{u1}} (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toTop.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) s) (iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Eq.{succ u1} (Set.{u1} α) s (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (fun (h : Eq.{succ u1} (Set.{u1} α) s (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) => OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.top_apply' MeasureTheory.OuterMeasure.top_apply'ₓ'. -/
 theorem top_apply' (s : Set α) : (⊤ : OuterMeasure α) s = ⨅ h : s = ∅, 0 :=
   s.eq_empty_or_nonempty.elim (fun h => by simp [h]) fun h => by simp [h, h.ne_empty]
 #align measure_theory.outer_measure.top_apply' MeasureTheory.OuterMeasure.top_apply'
 
-/- warning: measure_theory.outer_measure.comap_top -> MeasureTheory.OuterMeasure.comap_top is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_top MeasureTheory.OuterMeasure.comap_topₓ'. -/
 @[simp]
 theorem comap_top (f : α → β) : comap f ⊤ = ⊤ :=
   ext_nonempty fun s hs => by rw [comap_apply, top_apply hs, top_apply (hs.image _)]
 #align measure_theory.outer_measure.comap_top MeasureTheory.OuterMeasure.comap_top
 
-/- warning: measure_theory.outer_measure.map_top -> MeasureTheory.OuterMeasure.map_top is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_top MeasureTheory.OuterMeasure.map_topₓ'. -/
 theorem map_top (f : α → β) : map f ⊤ = restrict (range f) ⊤ :=
   ext fun s => by
     rw [map_apply, restrict_apply, ← image_preimage_eq_inter_range, top_apply', top_apply',
       Set.image_eq_empty]
 #align measure_theory.outer_measure.map_top MeasureTheory.OuterMeasure.map_top
 
-/- warning: measure_theory.outer_measure.map_top_of_surjective -> MeasureTheory.OuterMeasure.map_top_of_surjective is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_top_of_surjective MeasureTheory.OuterMeasure.map_top_of_surjectiveₓ'. -/
 theorem map_top_of_surjective (f : α → β) (hf : Surjective f) : map f ⊤ = ⊤ := by
   rw [map_top, hf.range_eq, restrict_univ]
 #align measure_theory.outer_measure.map_top_of_surjective MeasureTheory.OuterMeasure.map_top_of_surjective
@@ -968,12 +656,6 @@ variable {α : Type _} (m : Set α → ℝ≥0∞) (m_empty : m ∅ = 0)
 
 include m_empty
 
-/- warning: measure_theory.outer_measure.of_function -> MeasureTheory.OuterMeasure.ofFunction is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} (m : (Set.{u1} α) -> ENNReal), (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (MeasureTheory.OuterMeasure.{u1} α)
-but is expected to have type
-  forall {α : Type.{u1}} (m : (Set.{u1} α) -> ENNReal), (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (MeasureTheory.OuterMeasure.{u1} α)
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.of_function MeasureTheory.OuterMeasure.ofFunctionₓ'. -/
 /-- Given any function `m` assigning measures to sets satisying `m ∅ = 0`, there is
   a unique maximal outer measure `μ` satisfying `μ s ≤ m s` for all `s : set α`. -/
 protected def ofFunction : OuterMeasure α :=
@@ -1010,12 +692,6 @@ protected def ofFunction : OuterMeasure α :=
                 subset.trans (by simp) <| subset_Union _ <| Nat.pairEquiv (i, j) }
 #align measure_theory.outer_measure.of_function MeasureTheory.OuterMeasure.ofFunction
 
-/- warning: measure_theory.outer_measure.of_function_apply -> MeasureTheory.OuterMeasure.ofFunction_apply is a dubious translation:
-lean 3 declaration is
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.of_function_apply MeasureTheory.OuterMeasure.ofFunction_applyₓ'. -/
 theorem ofFunction_apply (s : Set α) :
     OuterMeasure.ofFunction m m_empty s = ⨅ (t : ℕ → Set α) (h : s ⊆ iUnion t), ∑' n, m (t n) :=
   rfl
@@ -1023,12 +699,6 @@ theorem ofFunction_apply (s : Set α) :
 
 variable {m m_empty}
 
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 theorem ofFunction_le (s : Set α) : OuterMeasure.ofFunction m m_empty s ≤ m s :=
   let f : ℕ → Set α := fun i => Nat.casesOn i s fun _ => ∅
   iInf_le_of_le f <|
@@ -1036,12 +706,6 @@ theorem ofFunction_le (s : Set α) : OuterMeasure.ofFunction m m_empty s ≤ m s
       le_of_eq <| tsum_eq_single 0 <| by rintro (_ | i) <;> simp [f, m_empty]
 #align measure_theory.outer_measure.of_function_le MeasureTheory.OuterMeasure.ofFunction_le
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.of_function_eq MeasureTheory.OuterMeasure.ofFunction_eqₓ'. -/
 theorem ofFunction_eq (s : Set α) (m_mono : ∀ ⦃t : Set α⦄, s ⊆ t → m s ≤ m t)
     (m_subadd : ∀ s : ℕ → Set α, m (⋃ i, s i) ≤ ∑' i, m (s i)) :
     OuterMeasure.ofFunction m m_empty s = m s :=
@@ -1049,12 +713,6 @@ theorem ofFunction_eq (s : Set α) (m_mono : ∀ ⦃t : Set α⦄, s ⊆ t → m
     le_iInf fun f => le_iInf fun hf => le_trans (m_mono hf) (m_subadd f)
 #align measure_theory.outer_measure.of_function_eq MeasureTheory.OuterMeasure.ofFunction_eq
 
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 theorem le_ofFunction {μ : OuterMeasure α} :
     μ ≤ OuterMeasure.ofFunction m m_empty ↔ ∀ s, μ s ≤ m s :=
   ⟨fun H s => le_trans (H s) (ofFunction_le s), fun H s =>
@@ -1063,33 +721,15 @@ theorem le_ofFunction {μ : OuterMeasure α} :
         le_trans (μ.mono hs) <| le_trans (μ.iUnion f) <| ENNReal.tsum_le_tsum fun i => H _⟩
 #align measure_theory.outer_measure.le_of_function MeasureTheory.OuterMeasure.le_ofFunction
 
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 theorem isGreatest_ofFunction :
     IsGreatest { μ : OuterMeasure α | ∀ s, μ s ≤ m s } (OuterMeasure.ofFunction m m_empty) :=
   ⟨fun s => ofFunction_le _, fun μ => le_ofFunction.2⟩
 #align measure_theory.outer_measure.is_greatest_of_function MeasureTheory.OuterMeasure.isGreatest_ofFunction
 
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 theorem ofFunction_eq_sSup : OuterMeasure.ofFunction m m_empty = sSup { μ | ∀ s, μ s ≤ m s } :=
   (@isGreatest_ofFunction α m m_empty).IsLUB.sSup_eq.symm
 #align measure_theory.outer_measure.of_function_eq_Sup MeasureTheory.OuterMeasure.ofFunction_eq_sSup
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.of_function_union_of_top_of_nonempty_inter MeasureTheory.OuterMeasure.ofFunction_union_of_top_of_nonempty_interₓ'. -/
 /- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (u «expr ⊆ » «expr ∪ »(s, t)) -/
 /-- If `m u = ∞` for any set `u` that has nonempty intersection both with `s` and `t`, then
 `μ (s ∪ t) = μ s + μ t`, where `μ = measure_theory.outer_measure.of_function m m_empty`.
@@ -1134,9 +774,6 @@ theorem ofFunction_union_of_top_of_nonempty_inter {s t : Set α}
     
 #align measure_theory.outer_measure.of_function_union_of_top_of_nonempty_inter MeasureTheory.OuterMeasure.ofFunction_union_of_top_of_nonempty_inter
 
-/- warning: measure_theory.outer_measure.comap_of_function -> MeasureTheory.OuterMeasure.comap_ofFunction is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_of_function MeasureTheory.OuterMeasure.comap_ofFunctionₓ'. -/
 theorem comap_ofFunction {β} (f : β → α) (h : Monotone m ∨ Surjective f) :
     comap f (OuterMeasure.ofFunction m m_empty) =
       OuterMeasure.ofFunction (fun s => m (f '' s)) (by rwa [Set.image_empty]) :=
@@ -1152,18 +789,12 @@ theorem comap_ofFunction {β} (f : β → α) (h : Monotone m ∨ Surjective f)
     exacts[h (image_preimage_subset _ _), (congr_arg m (h.image_preimage (t n))).le]
 #align measure_theory.outer_measure.comap_of_function MeasureTheory.OuterMeasure.comap_ofFunction
 
-/- warning: measure_theory.outer_measure.map_of_function_le -> MeasureTheory.OuterMeasure.map_ofFunction_le is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_of_function_le MeasureTheory.OuterMeasure.map_ofFunction_leₓ'. -/
 theorem map_ofFunction_le {β} (f : α → β) :
     map f (OuterMeasure.ofFunction m m_empty) ≤
       OuterMeasure.ofFunction (fun s => m (f ⁻¹' s)) m_empty :=
   le_ofFunction.2 fun s => by rw [map_apply]; apply of_function_le
 #align measure_theory.outer_measure.map_of_function_le MeasureTheory.OuterMeasure.map_ofFunction_le
 
-/- warning: measure_theory.outer_measure.map_of_function -> MeasureTheory.OuterMeasure.map_ofFunction is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_of_function MeasureTheory.OuterMeasure.map_ofFunctionₓ'. -/
 theorem map_ofFunction {β} {f : α → β} (hf : Injective f) :
     map f (OuterMeasure.ofFunction m m_empty) =
       OuterMeasure.ofFunction (fun s => m (f ⁻¹' s)) m_empty :=
@@ -1178,9 +809,6 @@ theorem map_ofFunction {β} {f : α → β} (hf : Injective f) :
     simp [hf.preimage_image]
 #align measure_theory.outer_measure.map_of_function MeasureTheory.OuterMeasure.map_ofFunction
 
-/- warning: measure_theory.outer_measure.restrict_of_function -> MeasureTheory.OuterMeasure.restrict_ofFunction is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_of_function MeasureTheory.OuterMeasure.restrict_ofFunctionₓ'. -/
 theorem restrict_ofFunction (s : Set α) (hm : Monotone m) :
     restrict s (OuterMeasure.ofFunction m m_empty) =
       OuterMeasure.ofFunction (fun t => m (t ∩ s)) (by rwa [Set.empty_inter]) :=
@@ -1189,9 +817,6 @@ theorem restrict_ofFunction (s : Set α) (hm : Monotone m) :
     map_of_function Subtype.coe_injective, Subtype.image_preimage_coe]
 #align measure_theory.outer_measure.restrict_of_function MeasureTheory.OuterMeasure.restrict_ofFunction
 
-/- warning: measure_theory.outer_measure.smul_of_function -> MeasureTheory.OuterMeasure.smul_ofFunction is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.smul_of_function MeasureTheory.OuterMeasure.smul_ofFunctionₓ'. -/
 theorem smul_ofFunction {c : ℝ≥0∞} (hc : c ≠ ∞) :
     c • OuterMeasure.ofFunction m m_empty = OuterMeasure.ofFunction (c • m) (by simp [m_empty]) :=
   by
@@ -1218,22 +843,10 @@ def boundedBy : OuterMeasure α :=
 
 variable {m}
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.bounded_by_le MeasureTheory.OuterMeasure.boundedBy_leₓ'. -/
 theorem boundedBy_le (s : Set α) : boundedBy m s ≤ m s :=
   (ofFunction_le _).trans iSup_const_le
 #align measure_theory.outer_measure.bounded_by_le MeasureTheory.OuterMeasure.boundedBy_le
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.bounded_by_eq_of_function MeasureTheory.OuterMeasure.boundedBy_eq_ofFunctionₓ'. -/
 theorem boundedBy_eq_ofFunction (m_empty : m ∅ = 0) (s : Set α) :
     boundedBy m s = OuterMeasure.ofFunction m m_empty s :=
   by
@@ -1242,23 +855,11 @@ theorem boundedBy_eq_ofFunction (m_empty : m ∅ = 0) (s : Set α) :
   simp [bounded_by, this]
 #align measure_theory.outer_measure.bounded_by_eq_of_function MeasureTheory.OuterMeasure.boundedBy_eq_ofFunction
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.bounded_by_apply MeasureTheory.OuterMeasure.boundedBy_applyₓ'. -/
 theorem boundedBy_apply (s : Set α) :
     boundedBy m s = ⨅ (t : ℕ → Set α) (h : s ⊆ iUnion t), ∑' n, ⨆ h : (t n).Nonempty, m (t n) := by
   simp [bounded_by, of_function_apply]
 #align measure_theory.outer_measure.bounded_by_apply MeasureTheory.OuterMeasure.boundedBy_apply
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.bounded_by_eq MeasureTheory.OuterMeasure.boundedBy_eqₓ'. -/
 theorem boundedBy_eq (s : Set α) (m_empty : m ∅ = 0) (m_mono : ∀ ⦃t : Set α⦄, s ⊆ t → m s ≤ m t)
     (m_subadd : ∀ s : ℕ → Set α, m (⋃ i, s i) ≤ ∑' i, m (s i)) : boundedBy m s = m s := by
   rw [bounded_by_eq_of_function m_empty, of_function_eq s m_mono m_subadd]
@@ -1271,24 +872,12 @@ theorem boundedBy_eq_self (m : OuterMeasure α) : boundedBy m = m :=
 #align measure_theory.outer_measure.bounded_by_eq_self MeasureTheory.OuterMeasure.boundedBy_eq_self
 -/
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_bounded_by MeasureTheory.OuterMeasure.le_boundedByₓ'. -/
 theorem le_boundedBy {μ : OuterMeasure α} : μ ≤ boundedBy m ↔ ∀ s, μ s ≤ m s :=
   by
   rw [bounded_by, le_of_function, forall_congr']; intro s
   cases' s.eq_empty_or_nonempty with h h <;> simp [h, not_nonempty_empty]
 #align measure_theory.outer_measure.le_bounded_by MeasureTheory.OuterMeasure.le_boundedBy
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_bounded_by' MeasureTheory.OuterMeasure.le_boundedBy'ₓ'. -/
 theorem le_boundedBy' {μ : OuterMeasure α} :
     μ ≤ boundedBy m ↔ ∀ s : Set α, s.Nonempty → μ s ≤ m s := by rw [le_bounded_by, forall_congr'];
   intro s; cases' s.eq_empty_or_nonempty with h h <;> simp [h]
@@ -1314,12 +903,6 @@ theorem boundedBy_zero : boundedBy (0 : Set α → ℝ≥0∞) = 0 :=
 #align measure_theory.outer_measure.bounded_by_zero MeasureTheory.OuterMeasure.boundedBy_zero
 -/
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.smul_bounded_by MeasureTheory.OuterMeasure.smul_boundedByₓ'. -/
 theorem smul_boundedBy {c : ℝ≥0∞} (hc : c ≠ ∞) : c • boundedBy m = boundedBy (c • m) :=
   by
   simp only [bounded_by, smul_of_function hc]
@@ -1327,9 +910,6 @@ theorem smul_boundedBy {c : ℝ≥0∞} (hc : c ≠ ∞) : c • boundedBy m = b
   rcases s.eq_empty_or_nonempty with (rfl | hs) <;> simp [*]
 #align measure_theory.outer_measure.smul_bounded_by MeasureTheory.OuterMeasure.smul_boundedBy
 
-/- warning: measure_theory.outer_measure.comap_bounded_by -> MeasureTheory.OuterMeasure.comap_boundedBy is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_bounded_by MeasureTheory.OuterMeasure.comap_boundedByₓ'. -/
 theorem comap_boundedBy {β} (f : β → α)
     (h : (Monotone fun s : { s : Set α // s.Nonempty } => m s) ∨ Surjective f) :
     comap f (boundedBy m) = boundedBy fun s => m (f '' s) :=
@@ -1343,12 +923,6 @@ theorem comap_boundedBy {β} (f : β → α)
     rw [nonempty_image_iff]
 #align measure_theory.outer_measure.comap_bounded_by MeasureTheory.OuterMeasure.comap_boundedBy
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.bounded_by_union_of_top_of_nonempty_inter MeasureTheory.OuterMeasure.boundedBy_union_of_top_of_nonempty_interₓ'. -/
 /-- If `m u = ∞` for any set `u` that has nonempty intersection both with `s` and `t`, then
 `μ (s ∪ t) = μ s + μ t`, where `μ = measure_theory.outer_measure.bounded_by m`.
 
@@ -1384,12 +958,6 @@ def IsCaratheodory (s : Set α) : Prop :=
 #align measure_theory.outer_measure.is_caratheodory MeasureTheory.OuterMeasure.IsCaratheodory
 -/
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.is_caratheodory_iff_le' MeasureTheory.OuterMeasure.isCaratheodory_iff_le'ₓ'. -/
 theorem isCaratheodory_iff_le' {s : Set α} : is_caratheodory s ↔ ∀ t, m (t ∩ s) + m (t \ s) ≤ m t :=
   forall_congr' fun t => le_antisymm_iff.trans <| and_iff_right <| le_inter_add_diff _
 #align measure_theory.outer_measure.is_caratheodory_iff_le' MeasureTheory.OuterMeasure.isCaratheodory_iff_le'
@@ -1400,33 +968,15 @@ theorem isCaratheodory_empty : is_caratheodory ∅ := by simp [is_caratheodory,
 #align measure_theory.outer_measure.is_caratheodory_empty MeasureTheory.OuterMeasure.isCaratheodory_empty
 -/
 
-/- warning: measure_theory.outer_measure.is_caratheodory_compl -> MeasureTheory.OuterMeasure.isCaratheodory_compl is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.is_caratheodory_compl MeasureTheory.OuterMeasure.isCaratheodory_complₓ'. -/
 theorem isCaratheodory_compl : is_caratheodory s₁ → is_caratheodory (s₁ᶜ) := by
   simp [is_caratheodory, diff_eq, add_comm]
 #align measure_theory.outer_measure.is_caratheodory_compl MeasureTheory.OuterMeasure.isCaratheodory_compl
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.is_caratheodory_compl_iff MeasureTheory.OuterMeasure.isCaratheodory_compl_iffₓ'. -/
 @[simp]
 theorem isCaratheodory_compl_iff : is_caratheodory (sᶜ) ↔ is_caratheodory s :=
   ⟨fun h => by simpa using is_caratheodory_compl m h, is_caratheodory_compl⟩
 #align measure_theory.outer_measure.is_caratheodory_compl_iff MeasureTheory.OuterMeasure.isCaratheodory_compl_iff
 
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-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m s₁) -> (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m s₂) -> (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (Union.union.{u1} (Set.{u1} α) (Set.hasUnion.{u1} α) s₁ s₂))
-but is expected to have type
-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m s₁) -> (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m s₂) -> (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (Union.union.{u1} (Set.{u1} α) (Set.instUnionSet.{u1} α) s₁ s₂))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.is_caratheodory_union MeasureTheory.OuterMeasure.isCaratheodory_unionₓ'. -/
 theorem isCaratheodory_union (h₁ : is_caratheodory s₁) (h₂ : is_caratheodory s₂) :
     is_caratheodory (s₁ ∪ s₂) := fun t =>
   by
@@ -1436,12 +986,6 @@ theorem isCaratheodory_union (h₁ : is_caratheodory s₁) (h₂ : is_caratheodo
   simp [diff_eq, add_assoc]
 #align measure_theory.outer_measure.is_caratheodory_union MeasureTheory.OuterMeasure.isCaratheodory_union
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.measure_inter_union MeasureTheory.OuterMeasure.measure_inter_unionₓ'. -/
 theorem measure_inter_union (h : s₁ ∩ s₂ ⊆ ∅) (h₁ : is_caratheodory s₁) {t : Set α} :
     m (t ∩ (s₁ ∪ s₂)) = m (t ∩ s₁) + m (t ∩ s₂) := by
   rw [h₁, Set.inter_assoc, Set.union_inter_cancel_left, inter_diff_assoc, union_diff_cancel_left h]
@@ -1460,12 +1004,6 @@ theorem isCaratheodory_iUnion_lt {s : ℕ → Set α} :
 #align measure_theory.outer_measure.is_caratheodory_Union_lt MeasureTheory.OuterMeasure.isCaratheodory_iUnion_lt
 -/
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.is_caratheodory_inter MeasureTheory.OuterMeasure.isCaratheodory_interₓ'. -/
 theorem isCaratheodory_inter (h₁ : is_caratheodory s₁) (h₂ : is_caratheodory s₂) :
     is_caratheodory (s₁ ∩ s₂) :=
   by
@@ -1473,12 +1011,6 @@ theorem isCaratheodory_inter (h₁ : is_caratheodory s₁) (h₂ : is_caratheodo
   exact is_caratheodory_union _ (is_caratheodory_compl _ h₁) (is_caratheodory_compl _ h₂)
 #align measure_theory.outer_measure.is_caratheodory_inter MeasureTheory.OuterMeasure.isCaratheodory_inter
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.is_caratheodory_sum MeasureTheory.OuterMeasure.isCaratheodory_sumₓ'. -/
 theorem isCaratheodory_sum {s : ℕ → Set α} (h : ∀ i, is_caratheodory (s i))
     (hd : Pairwise (Disjoint on s)) {t : Set α} :
     ∀ {n}, (∑ i in Finset.range n, m (t ∩ s i)) = m (t ∩ ⋃ i < n, s i)
@@ -1491,12 +1023,6 @@ theorem isCaratheodory_sum {s : ℕ → Set α} (h : ∀ i, is_caratheodory (s i
     simpa using fun (h₁ : a ∈ s n) i (hi : i < n) h₂ => (hd (ne_of_gt hi)).le_bot ⟨h₁, h₂⟩
 #align measure_theory.outer_measure.is_caratheodory_sum MeasureTheory.OuterMeasure.isCaratheodory_sum
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.is_caratheodory_Union_nat MeasureTheory.OuterMeasure.isCaratheodory_iUnion_natₓ'. -/
 theorem isCaratheodory_iUnion_nat {s : ℕ → Set α} (h : ∀ i, is_caratheodory (s i))
     (hd : Pairwise (Disjoint on s)) : is_caratheodory (⋃ i, s i) :=
   is_caratheodory_iff_le'.2 fun t =>
@@ -1515,12 +1041,6 @@ theorem isCaratheodory_iUnion_nat {s : ℕ → Set α} (h : ∀ i, is_caratheodo
     exact Union₂_subset fun i _ => subset_Union _ i
 #align measure_theory.outer_measure.is_caratheodory_Union_nat MeasureTheory.OuterMeasure.isCaratheodory_iUnion_nat
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.f_Union MeasureTheory.OuterMeasure.f_iUnionₓ'. -/
 theorem f_iUnion {s : ℕ → Set α} (h : ∀ i, is_caratheodory (s i)) (hd : Pairwise (Disjoint on s)) :
     m (⋃ i, s i) = ∑' i, m (s i) :=
   by
@@ -1551,34 +1071,16 @@ protected def caratheodory : MeasurableSpace α :=
 #align measure_theory.outer_measure.caratheodory MeasureTheory.OuterMeasure.caratheodory
 -/
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.is_caratheodory_iff MeasureTheory.OuterMeasure.isCaratheodory_iffₓ'. -/
 theorem isCaratheodory_iff {s : Set α} :
     measurable_set[caratheodory] s ↔ ∀ t, m t = m (t ∩ s) + m (t \ s) :=
   Iff.rfl
 #align measure_theory.outer_measure.is_caratheodory_iff MeasureTheory.OuterMeasure.isCaratheodory_iff
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.is_caratheodory_iff_le MeasureTheory.OuterMeasure.isCaratheodory_iff_leₓ'. -/
 theorem isCaratheodory_iff_le {s : Set α} :
     measurable_set[caratheodory] s ↔ ∀ t, m (t ∩ s) + m (t \ s) ≤ m t :=
   is_caratheodory_iff_le'
 #align measure_theory.outer_measure.is_caratheodory_iff_le MeasureTheory.OuterMeasure.isCaratheodory_iff_le
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Union_eq_of_caratheodory MeasureTheory.OuterMeasure.iUnion_eq_of_caratheodoryₓ'. -/
 protected theorem iUnion_eq_of_caratheodory {s : ℕ → Set α}
     (h : ∀ i, measurable_set[caratheodory] (s i)) (hd : Pairwise (Disjoint on s)) :
     m (⋃ i, s i) = ∑' i, m (s i) :=
@@ -1589,12 +1091,6 @@ end CaratheodoryMeasurable
 
 variable {α : Type _}
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.of_function_caratheodory MeasureTheory.OuterMeasure.ofFunction_caratheodoryₓ'. -/
 theorem ofFunction_caratheodory {m : Set α → ℝ≥0∞} {s : Set α} {h₀ : m ∅ = 0}
     (hs : ∀ t, m (t ∩ s) + m (t \ s) ≤ m t) :
     measurable_set[(OuterMeasure.ofFunction m h₀).caratheodory] s :=
@@ -1611,12 +1107,6 @@ theorem ofFunction_caratheodory {m : Set α → ℝ≥0∞} {s : Set α} {h₀ :
   · rw [← ENNReal.tsum_add]; exact ENNReal.tsum_le_tsum fun i => hs _
 #align measure_theory.outer_measure.of_function_caratheodory MeasureTheory.OuterMeasure.ofFunction_caratheodory
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.bounded_by_caratheodory MeasureTheory.OuterMeasure.boundedBy_caratheodoryₓ'. -/
 theorem boundedBy_caratheodory {m : Set α → ℝ≥0∞} {s : Set α}
     (hs : ∀ t, m (t ∩ s) + m (t \ s) ≤ m t) : measurable_set[(boundedBy m).caratheodory] s :=
   by
@@ -1626,23 +1116,11 @@ theorem boundedBy_caratheodory {m : Set α → ℝ≥0∞} {s : Set α}
   · convert le_trans _ (hs t); · simp [h]; exact add_le_add iSup_const_le iSup_const_le
 #align measure_theory.outer_measure.bounded_by_caratheodory MeasureTheory.OuterMeasure.boundedBy_caratheodory
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.zero_caratheodory MeasureTheory.OuterMeasure.zero_caratheodoryₓ'. -/
 @[simp]
 theorem zero_caratheodory : (0 : OuterMeasure α).caratheodory = ⊤ :=
   top_unique fun s _ t => (add_zero _).symm
 #align measure_theory.outer_measure.zero_caratheodory MeasureTheory.OuterMeasure.zero_caratheodory
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.top_caratheodory MeasureTheory.OuterMeasure.top_caratheodoryₓ'. -/
 theorem top_caratheodory : (⊤ : OuterMeasure α).caratheodory = ⊤ :=
   top_unique fun s hs =>
     (isCaratheodory_iff_le _).2 fun t =>
@@ -1650,44 +1128,20 @@ theorem top_caratheodory : (⊤ : OuterMeasure α).caratheodory = ⊤ :=
         simp only [ht, top_apply, le_top]
 #align measure_theory.outer_measure.top_caratheodory MeasureTheory.OuterMeasure.top_caratheodory
 
-/- warning: measure_theory.outer_measure.le_add_caratheodory -> MeasureTheory.OuterMeasure.le_add_caratheodory is a dubious translation:
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-  forall {α : Type.{u1}} (m₁ : MeasureTheory.OuterMeasure.{u1} α) (m₂ : MeasureTheory.OuterMeasure.{u1} α), LE.le.{u1} (MeasurableSpace.{u1} α) (MeasurableSpace.instLEMeasurableSpace.{u1} α) (Inf.inf.{u1} (MeasurableSpace.{u1} α) (Lattice.toInf.{u1} (MeasurableSpace.{u1} α) (ConditionallyCompleteLattice.toLattice.{u1} (MeasurableSpace.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasurableSpace.{u1} α) (MeasurableSpace.instCompleteLatticeMeasurableSpace.{u1} α)))) (MeasureTheory.OuterMeasure.caratheodory.{u1} α m₁) (MeasureTheory.OuterMeasure.caratheodory.{u1} α m₂)) (MeasureTheory.OuterMeasure.caratheodory.{u1} α (HAdd.hAdd.{u1, u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (instHAdd.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instAdd.{u1} α)) m₁ m₂))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_add_caratheodory MeasureTheory.OuterMeasure.le_add_caratheodoryₓ'. -/
 theorem le_add_caratheodory (m₁ m₂ : OuterMeasure α) :
     m₁.caratheodory ⊓ m₂.caratheodory ≤ (m₁ + m₂ : OuterMeasure α).caratheodory :=
   fun s ⟨hs₁, hs₂⟩ t => by simp [hs₁ t, hs₂ t, add_left_comm, add_assoc]
 #align measure_theory.outer_measure.le_add_caratheodory MeasureTheory.OuterMeasure.le_add_caratheodory
 
-/- warning: measure_theory.outer_measure.le_sum_caratheodory -> MeasureTheory.OuterMeasure.le_sum_caratheodory is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} {ι : Type.{u2}} (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), LE.le.{u1} (MeasurableSpace.{u1} α) (MeasurableSpace.hasLe.{u1} α) (iInf.{u1, succ u2} (MeasurableSpace.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasurableSpace.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasurableSpace.{u1} α) (MeasurableSpace.completeLattice.{u1} α))) ι (fun (i : ι) => MeasureTheory.OuterMeasure.caratheodory.{u1} α (m i))) (MeasureTheory.OuterMeasure.caratheodory.{u1} α (MeasureTheory.OuterMeasure.sum.{u1, u2} α ι m))
-but is expected to have type
-  forall {α : Type.{u1}} {ι : Type.{u2}} (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), LE.le.{u1} (MeasurableSpace.{u1} α) (MeasurableSpace.instLEMeasurableSpace.{u1} α) (iInf.{u1, succ u2} (MeasurableSpace.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasurableSpace.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasurableSpace.{u1} α) (MeasurableSpace.instCompleteLatticeMeasurableSpace.{u1} α))) ι (fun (i : ι) => MeasureTheory.OuterMeasure.caratheodory.{u1} α (m i))) (MeasureTheory.OuterMeasure.caratheodory.{u1} α (MeasureTheory.OuterMeasure.sum.{u1, u2} α ι m))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_sum_caratheodory MeasureTheory.OuterMeasure.le_sum_caratheodoryₓ'. -/
 theorem le_sum_caratheodory {ι} (m : ι → OuterMeasure α) :
     (⨅ i, (m i).caratheodory) ≤ (sum m).caratheodory := fun s h t => by
   simp [fun i => MeasurableSpace.measurableSet_iInf.1 h i t, ENNReal.tsum_add]
 #align measure_theory.outer_measure.le_sum_caratheodory MeasureTheory.OuterMeasure.le_sum_caratheodory
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_smul_caratheodory MeasureTheory.OuterMeasure.le_smul_caratheodoryₓ'. -/
 theorem le_smul_caratheodory (a : ℝ≥0∞) (m : OuterMeasure α) :
     m.caratheodory ≤ (a • m).caratheodory := fun s h t => by simp [h t, mul_add]
 #align measure_theory.outer_measure.le_smul_caratheodory MeasureTheory.OuterMeasure.le_smul_caratheodory
 
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-lean 3 declaration is
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.dirac_caratheodory MeasureTheory.OuterMeasure.dirac_caratheodoryₓ'. -/
 @[simp]
 theorem dirac_caratheodory (a : α) : (dirac a).caratheodory = ⊤ :=
   top_unique fun s _ t => by
@@ -1707,23 +1161,11 @@ def sInfGen (m : Set (OuterMeasure α)) (s : Set α) : ℝ≥0∞ :=
 #align measure_theory.outer_measure.Inf_gen MeasureTheory.OuterMeasure.sInfGen
 -/
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Inf_gen_def MeasureTheory.OuterMeasure.sInfGen_defₓ'. -/
 theorem sInfGen_def (m : Set (OuterMeasure α)) (t : Set α) :
     sInfGen m t = ⨅ (μ : OuterMeasure α) (h : μ ∈ m), μ t :=
   rfl
 #align measure_theory.outer_measure.Inf_gen_def MeasureTheory.OuterMeasure.sInfGen_def
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Inf_eq_bounded_by_Inf_gen MeasureTheory.OuterMeasure.sInf_eq_boundedBy_sInfGenₓ'. -/
 theorem sInf_eq_boundedBy_sInfGen (m : Set (OuterMeasure α)) :
     sInf m = OuterMeasure.boundedBy (sInfGen m) :=
   by
@@ -1733,12 +1175,6 @@ theorem sInf_eq_boundedBy_sInfGen (m : Set (OuterMeasure α)) :
   · refine' le_sInf _; intro μ hμ t; refine' le_trans (bounded_by_le t) (iInf₂_le μ hμ)
 #align measure_theory.outer_measure.Inf_eq_bounded_by_Inf_gen MeasureTheory.OuterMeasure.sInf_eq_boundedBy_sInfGen
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.supr_Inf_gen_nonempty MeasureTheory.OuterMeasure.iSup_sInfGen_nonemptyₓ'. -/
 theorem iSup_sInfGen_nonempty {m : Set (OuterMeasure α)} (h : m.Nonempty) (t : Set α) :
     (⨆ h : t.Nonempty, sInfGen m t) = ⨅ (μ : OuterMeasure α) (h : μ ∈ m), μ t :=
   by
@@ -1751,12 +1187,6 @@ theorem iSup_sInfGen_nonempty {m : Set (OuterMeasure α)} (h : m.Nonempty) (t :
   · simp [ht, Inf_gen_def]
 #align measure_theory.outer_measure.supr_Inf_gen_nonempty MeasureTheory.OuterMeasure.iSup_sInfGen_nonempty
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Inf_apply MeasureTheory.OuterMeasure.sInf_applyₓ'. -/
 /-- The value of the Infimum of a nonempty set of outer measures on a set is not simply
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
@@ -1766,12 +1196,6 @@ theorem sInf_apply {m : Set (OuterMeasure α)} {s : Set α} (h : m.Nonempty) :
   by simp_rw [Inf_eq_bounded_by_Inf_gen, bounded_by_apply, supr_Inf_gen_nonempty h]
 #align measure_theory.outer_measure.Inf_apply MeasureTheory.OuterMeasure.sInf_apply
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Inf_apply' MeasureTheory.OuterMeasure.sInf_apply'ₓ'. -/
 /-- The value of the Infimum of a set of outer measures on a nonempty set is not simply
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
@@ -1781,12 +1205,6 @@ theorem sInf_apply' {m : Set (OuterMeasure α)} {s : Set α} (h : s.Nonempty) :
   m.eq_empty_or_nonempty.elim (fun hm => by simp [hm, h]) sInf_apply
 #align measure_theory.outer_measure.Inf_apply' MeasureTheory.OuterMeasure.sInf_apply'
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.infi_apply MeasureTheory.OuterMeasure.iInf_applyₓ'. -/
 /-- The value of the Infimum of a nonempty family of outer measures on a set is not simply
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
@@ -1795,12 +1213,6 @@ theorem iInf_apply {ι} [Nonempty ι] (m : ι → OuterMeasure α) (s : Set α)
   rw [iInf, sInf_apply (range_nonempty m)]; simp only [iInf_range]
 #align measure_theory.outer_measure.infi_apply MeasureTheory.OuterMeasure.iInf_apply
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.infi_apply' MeasureTheory.OuterMeasure.iInf_apply'ₓ'. -/
 /-- The value of the Infimum of a family of outer measures on a nonempty set is not simply
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
@@ -1809,12 +1221,6 @@ theorem iInf_apply' {ι} (m : ι → OuterMeasure α) {s : Set α} (hs : s.Nonem
   rw [iInf, Inf_apply' hs]; simp only [iInf_range]
 #align measure_theory.outer_measure.infi_apply' MeasureTheory.OuterMeasure.iInf_apply'
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.binfi_apply MeasureTheory.OuterMeasure.biInf_applyₓ'. -/
 /-- The value of the Infimum of a nonempty family of outer measures on a set is not simply
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
@@ -1823,12 +1229,6 @@ theorem biInf_apply {ι} {I : Set ι} (hI : I.Nonempty) (m : ι → OuterMeasure
   haveI := hI.to_subtype; simp only [← iInf_subtype'', iInf_apply]
 #align measure_theory.outer_measure.binfi_apply MeasureTheory.OuterMeasure.biInf_apply
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.binfi_apply' MeasureTheory.OuterMeasure.biInf_apply'ₓ'. -/
 /-- The value of the Infimum of a nonempty family of outer measures on a set is not simply
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
@@ -1837,17 +1237,11 @@ theorem biInf_apply' {ι} (I : Set ι) (m : ι → OuterMeasure α) {s : Set α}
   simp only [← iInf_subtype'', infi_apply' _ hs]
 #align measure_theory.outer_measure.binfi_apply' MeasureTheory.OuterMeasure.biInf_apply'
 
-/- warning: measure_theory.outer_measure.map_infi_le -> MeasureTheory.OuterMeasure.map_iInf_le is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_infi_le MeasureTheory.OuterMeasure.map_iInf_leₓ'. -/
 theorem map_iInf_le {ι β} (f : α → β) (m : ι → OuterMeasure α) :
     map f (⨅ i, m i) ≤ ⨅ i, map f (m i) :=
   (map_mono f).map_iInf_le
 #align measure_theory.outer_measure.map_infi_le MeasureTheory.OuterMeasure.map_iInf_le
 
-/- warning: measure_theory.outer_measure.comap_infi -> MeasureTheory.OuterMeasure.comap_iInf is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_infi MeasureTheory.OuterMeasure.comap_iInfₓ'. -/
 theorem comap_iInf {ι β} (f : α → β) (m : ι → OuterMeasure β) :
     comap f (⨅ i, m i) = ⨅ i, comap f (m i) :=
   by
@@ -1859,9 +1253,6 @@ theorem comap_iInf {ι β} (f : α → β) (m : ι → OuterMeasure β) :
   exact iInf_mono fun i => (m i).mono (image_preimage_subset _ _)
 #align measure_theory.outer_measure.comap_infi MeasureTheory.OuterMeasure.comap_iInf
 
-/- warning: measure_theory.outer_measure.map_infi -> MeasureTheory.OuterMeasure.map_iInf is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_infi MeasureTheory.OuterMeasure.map_iInfₓ'. -/
 theorem map_iInf {ι β} {f : α → β} (hf : Injective f) (m : ι → OuterMeasure α) :
     map f (⨅ i, m i) = restrict (range f) (⨅ i, map f (m i)) :=
   by
@@ -1869,9 +1260,6 @@ theorem map_iInf {ι β} {f : α → β} (hf : Injective f) (m : ι → OuterMea
   simp only [comap_infi, comap_map hf]
 #align measure_theory.outer_measure.map_infi MeasureTheory.OuterMeasure.map_iInf
 
-/- warning: measure_theory.outer_measure.map_infi_comap -> MeasureTheory.OuterMeasure.map_iInf_comap is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_infi_comap MeasureTheory.OuterMeasure.map_iInf_comapₓ'. -/
 theorem map_iInf_comap {ι β} [Nonempty ι] {f : α → β} (m : ι → OuterMeasure β) :
     map f (⨅ i, comap f (m i)) = ⨅ i, map f (comap f (m i)) :=
   by
@@ -1885,17 +1273,11 @@ theorem map_iInf_comap {ι β} [Nonempty ι] {f : α → β} (m : ι → OuterMe
     simp
 #align measure_theory.outer_measure.map_infi_comap MeasureTheory.OuterMeasure.map_iInf_comap
 
-/- warning: measure_theory.outer_measure.map_binfi_comap -> MeasureTheory.OuterMeasure.map_biInf_comap is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_binfi_comap MeasureTheory.OuterMeasure.map_biInf_comapₓ'. -/
 theorem map_biInf_comap {ι β} {I : Set ι} (hI : I.Nonempty) {f : α → β} (m : ι → OuterMeasure β) :
     map f (⨅ i ∈ I, comap f (m i)) = ⨅ i ∈ I, map f (comap f (m i)) := by haveI := hI.to_subtype;
   rw [← iInf_subtype'', ← iInf_subtype'']; exact map_infi_comap _
 #align measure_theory.outer_measure.map_binfi_comap MeasureTheory.OuterMeasure.map_biInf_comap
 
-/- warning: measure_theory.outer_measure.restrict_infi_restrict -> MeasureTheory.OuterMeasure.restrict_iInf_restrict is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_infi_restrict MeasureTheory.OuterMeasure.restrict_iInf_restrictₓ'. -/
 theorem restrict_iInf_restrict {ι} (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨅ i, restrict s (m i)) = restrict s (⨅ i, m i) :=
   calc
@@ -1906,25 +1288,16 @@ theorem restrict_iInf_restrict {ι} (s : Set α) (m : ι → OuterMeasure α) :
     
 #align measure_theory.outer_measure.restrict_infi_restrict MeasureTheory.OuterMeasure.restrict_iInf_restrict
 
-/- warning: measure_theory.outer_measure.restrict_infi -> MeasureTheory.OuterMeasure.restrict_iInf is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_infi MeasureTheory.OuterMeasure.restrict_iInfₓ'. -/
 theorem restrict_iInf {ι} [Nonempty ι] (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨅ i, m i) = ⨅ i, restrict s (m i) :=
   (congr_arg (map coe) (comap_iInf _ _)).trans (map_iInf_comap _)
 #align measure_theory.outer_measure.restrict_infi MeasureTheory.OuterMeasure.restrict_iInf
 
-/- warning: measure_theory.outer_measure.restrict_binfi -> MeasureTheory.OuterMeasure.restrict_biInf is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_binfi MeasureTheory.OuterMeasure.restrict_biInfₓ'. -/
 theorem restrict_biInf {ι} {I : Set ι} (hI : I.Nonempty) (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨅ i ∈ I, m i) = ⨅ i ∈ I, restrict s (m i) := by haveI := hI.to_subtype;
   rw [← iInf_subtype'', ← iInf_subtype'']; exact restrict_infi _ _
 #align measure_theory.outer_measure.restrict_binfi MeasureTheory.OuterMeasure.restrict_biInf
 
-/- warning: measure_theory.outer_measure.restrict_Inf_eq_Inf_restrict -> MeasureTheory.OuterMeasure.restrict_sInf_eq_sInf_restrict is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_Inf_eq_Inf_restrict MeasureTheory.OuterMeasure.restrict_sInf_eq_sInf_restrictₓ'. -/
 /-- This proves that Inf and restrict commute for outer measures, so long as the set of
 outer measures is nonempty. -/
 theorem restrict_sInf_eq_sInf_restrict (m : Set (OuterMeasure α)) {s : Set α} (hm : m.Nonempty) :
@@ -1964,12 +1337,6 @@ def extend (s : α) : ℝ≥0∞ :=
 #align measure_theory.extend MeasureTheory.extend
 -/
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.smul_extend MeasureTheory.smul_extendₓ'. -/
 theorem smul_extend {R} [Zero R] [SMulWithZero R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞]
     [NoZeroSMulDivisors R ℝ≥0∞] {c : R} (hc : c ≠ 0) : c • extend m = extend fun s h => c • m s h :=
   by
@@ -1985,21 +1352,9 @@ theorem extend_eq {s : α} (h : P s) : extend m s = m s h := by simp [extend, h]
 #align measure_theory.extend_eq MeasureTheory.extend_eq
 -/
 
-/- warning: measure_theory.extend_eq_top -> MeasureTheory.extend_eq_top is a dubious translation:
-lean 3 declaration is
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-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align measure_theory.extend_eq_top MeasureTheory.extend_eq_topₓ'. -/
 theorem extend_eq_top {s : α} (h : ¬P s) : extend m s = ∞ := by simp [extend, h]
 #align measure_theory.extend_eq_top MeasureTheory.extend_eq_top
 
-/- warning: measure_theory.le_extend -> MeasureTheory.le_extend is a dubious translation:
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-but is expected to have type
-  forall {α : Type.{u1}} {P : α -> Prop} (m : forall (s : α), (P s) -> ENNReal) {s : α} (h : P s), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s h) (MeasureTheory.extend.{u1} α (fun (s : α) => P s) m s)
-Case conversion may be inaccurate. Consider using '#align measure_theory.le_extend MeasureTheory.le_extendₓ'. -/
 theorem le_extend {s : α} (h : P s) : m s h ≤ extend m s := by simp only [extend, le_iInf_iff];
   intro ; rfl
 #align measure_theory.le_extend MeasureTheory.le_extend
@@ -2013,12 +1368,6 @@ theorem extend_congr {β : Type _} {Pb : β → Prop} {mb : ∀ s : β, Pb s →
 #align measure_theory.extend_congr MeasureTheory.extend_congr
 -/
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.extend_top MeasureTheory.extend_topₓ'. -/
 @[simp]
 theorem extend_top {α : Type _} {P : α → Prop} : extend (fun s h => ∞ : ∀ s : α, P s → ℝ≥0∞) = ⊤ :=
   funext fun x => iInf_eq_top.mpr fun i => rfl
@@ -2045,22 +1394,10 @@ variable (msU : ∀ ⦃f : ℕ → Set α⦄ (hm : ∀ i, P (f i)), m (⋃ i, f
 
 variable (m_mono : ∀ ⦃s₁ s₂ : Set α⦄ (hs₁ : P s₁) (hs₂ : P s₂), s₁ ⊆ s₂ → m s₁ hs₁ ≤ m s₂ hs₂)
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.extend_empty MeasureTheory.extend_emptyₓ'. -/
 theorem extend_empty : extend m ∅ = 0 :=
   (extend_eq _ P0).trans m0
 #align measure_theory.extend_empty MeasureTheory.extend_empty
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.extend_Union_nat MeasureTheory.extend_iUnion_natₓ'. -/
 theorem extend_iUnion_nat {f : ℕ → Set α} (hm : ∀ i, P (f i))
     (mU : m (⋃ i, f i) (PU hm) = ∑' i, m (f i) (hm i)) :
     extend m (⋃ i, f i) = ∑' i, extend m (f i) :=
@@ -2071,12 +1408,6 @@ section Subadditive
 
 include PU msU
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.extend_Union_le_tsum_nat' MeasureTheory.extend_iUnion_le_tsum_nat'ₓ'. -/
 theorem extend_iUnion_le_tsum_nat' (s : ℕ → Set α) : extend m (⋃ i, s i) ≤ ∑' i, extend m (s i) :=
   by
   by_cases h : ∀ i, P (s i)
@@ -2093,12 +1424,6 @@ section Mono
 
 include m_mono
 
-/- warning: measure_theory.extend_mono' -> MeasureTheory.extend_mono' is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align measure_theory.extend_mono' MeasureTheory.extend_mono'ₓ'. -/
 theorem extend_mono' ⦃s₁ s₂ : Set α⦄ (h₁ : P s₁) (hs : s₁ ⊆ s₂) : extend m s₁ ≤ extend m s₂ := by
   refine' le_iInf _; intro h₂; rw [extend_eq m h₁]; exact m_mono h₁ h₂ hs
 #align measure_theory.extend_mono' MeasureTheory.extend_mono'
@@ -2109,12 +1434,6 @@ section Unions
 
 include P0 m0 PU mU
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.extend_Union MeasureTheory.extend_iUnionₓ'. -/
 theorem extend_iUnion {β} [Countable β] {f : β → Set α} (hd : Pairwise (Disjoint on f))
     (hm : ∀ i, P (f i)) : extend m (⋃ i, f i) = ∑' i, extend m (f i) :=
   by
@@ -2127,12 +1446,6 @@ theorem extend_iUnion {β} [Countable β] {f : β → Set α} (hd : Pairwise (Di
   · exact extend_empty P0 m0
 #align measure_theory.extend_Union MeasureTheory.extend_iUnion
 
-/- warning: measure_theory.extend_union -> MeasureTheory.extend_union is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align measure_theory.extend_union MeasureTheory.extend_unionₓ'. -/
 theorem extend_union {s₁ s₂ : Set α} (hd : Disjoint s₁ s₂) (h₁ : P s₁) (h₂ : P s₂) :
     extend m (s₁ ∪ s₂) = extend m s₁ + extend m s₂ :=
   by
@@ -2146,12 +1459,6 @@ end Unions
 
 variable (m)
 
-/- warning: measure_theory.induced_outer_measure -> MeasureTheory.inducedOuterMeasure is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure MeasureTheory.inducedOuterMeasureₓ'. -/
 /-- Given an arbitrary function on a subset of sets, we can define the outer measure corresponding
   to it (this is the unique maximal outer measure that is at most `m` on the domain of `m`). -/
 def inducedOuterMeasure : OuterMeasure α :=
@@ -2160,23 +1467,11 @@ def inducedOuterMeasure : OuterMeasure α :=
 
 variable {m P0 m0}
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.le_induced_outer_measure MeasureTheory.le_inducedOuterMeasureₓ'. -/
 theorem le_inducedOuterMeasure {μ : OuterMeasure α} :
     μ ≤ inducedOuterMeasure m P0 m0 ↔ ∀ (s) (hs : P s), μ s ≤ m s hs :=
   le_ofFunction.trans <| forall_congr' fun s => le_iInf_iff
 #align measure_theory.le_induced_outer_measure MeasureTheory.le_inducedOuterMeasure
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_union_of_false_of_nonempty_inter MeasureTheory.inducedOuterMeasure_union_of_false_of_nonempty_interₓ'. -/
 /-- If `P u` is `false` for any set `u` that has nonempty intersection both with `s` and `t`, then
 `μ (s ∪ t) = μ s + μ t`, where `μ = induced_outer_measure m P0 m0`.
 
@@ -2191,33 +1486,15 @@ theorem inducedOuterMeasure_union_of_false_of_nonempty_inter {s t : Set α}
 
 include msU m_mono
 
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 theorem inducedOuterMeasure_eq_extend' {s : Set α} (hs : P s) :
     inducedOuterMeasure m P0 m0 s = extend m s :=
   ofFunction_eq s (fun t => extend_mono' m_mono hs) (extend_iUnion_le_tsum_nat' PU msU)
 #align measure_theory.induced_outer_measure_eq_extend' MeasureTheory.inducedOuterMeasure_eq_extend'
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_eq' MeasureTheory.inducedOuterMeasure_eq'ₓ'. -/
 theorem inducedOuterMeasure_eq' {s : Set α} (hs : P s) : inducedOuterMeasure m P0 m0 s = m s hs :=
   (inducedOuterMeasure_eq_extend' PU msU m_mono hs).trans <| extend_eq _ _
 #align measure_theory.induced_outer_measure_eq' MeasureTheory.inducedOuterMeasure_eq'
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_eq_infi MeasureTheory.inducedOuterMeasure_eq_iInfₓ'. -/
 theorem inducedOuterMeasure_eq_iInf (s : Set α) :
     inducedOuterMeasure m P0 m0 s = ⨅ (t : Set α) (ht : P t) (h : s ⊆ t), m t ht :=
   by
@@ -2231,12 +1508,6 @@ theorem inducedOuterMeasure_eq_iInf (s : Set α) :
     refine' iInf_le_of_le _ (iInf_le_of_le h2f <| iInf_le _ hf)
 #align measure_theory.induced_outer_measure_eq_infi MeasureTheory.inducedOuterMeasure_eq_iInf
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_preimage MeasureTheory.inducedOuterMeasure_preimageₓ'. -/
 theorem inducedOuterMeasure_preimage (f : α ≃ α) (Pm : ∀ s : Set α, P (f ⁻¹' s) ↔ P s)
     (mm : ∀ (s : Set α) (hs : P s), m (f ⁻¹' s) ((Pm _).mpr hs) = m s hs) {A : Set α} :
     inducedOuterMeasure m P0 m0 (f ⁻¹' A) = inducedOuterMeasure m P0 m0 A :=
@@ -2248,12 +1519,6 @@ theorem inducedOuterMeasure_preimage (f : α ≃ α) (Pm : ∀ s : Set α, P (f
   intro h2s; exact mm s hs
 #align measure_theory.induced_outer_measure_preimage MeasureTheory.inducedOuterMeasure_preimage
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_exists_set MeasureTheory.inducedOuterMeasure_exists_setₓ'. -/
 theorem inducedOuterMeasure_exists_set {s : Set α} (hs : inducedOuterMeasure m P0 m0 s ≠ ∞)
     {ε : ℝ≥0∞} (hε : ε ≠ 0) :
     ∃ (t : Set α)(ht : P t),
@@ -2269,12 +1534,6 @@ theorem inducedOuterMeasure_exists_set {s : Set α} (hs : inducedOuterMeasure m
     ⟨t, h1t, h2t, le_trans (le_of_eq <| induced_outer_measure_eq' _ msU m_mono h1t) (le_of_lt h3t)⟩
 #align measure_theory.induced_outer_measure_exists_set MeasureTheory.inducedOuterMeasure_exists_set
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_caratheodory MeasureTheory.inducedOuterMeasure_caratheodoryₓ'. -/
 /-- To test whether `s` is Carathéodory-measurable we only need to check the sets `t` for which
   `P t` holds. See `of_function_caratheodory` for another way to show the Carathéodory-measurability
   of `s`.
@@ -2318,12 +1577,6 @@ variable
 
 include m0 mU
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.extend_mono MeasureTheory.extend_monoₓ'. -/
 theorem extend_mono {s₁ s₂ : Set α} (h₁ : MeasurableSet s₁) (hs : s₁ ⊆ s₂) :
     extend m s₁ ≤ extend m s₂ := by
   refine' le_iInf _; intro h₂
@@ -2335,12 +1588,6 @@ theorem extend_mono {s₁ s₂ : Set α} (h₁ : MeasurableSet s₁) (hs : s₁
   exact le_iff_exists_add.2 ⟨_, this⟩
 #align measure_theory.extend_mono MeasureTheory.extend_mono
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.extend_Union_le_tsum_nat MeasureTheory.extend_iUnion_le_tsum_natₓ'. -/
 theorem extend_iUnion_le_tsum_nat : ∀ s : ℕ → Set α, extend m (⋃ i, s i) ≤ ∑' i, extend m (s i) :=
   by
   refine' extend_Union_le_tsum_nat' MeasurableSet.iUnion _; intro f h
@@ -2351,23 +1598,11 @@ theorem extend_iUnion_le_tsum_nat : ∀ s : ℕ → Set α, extend m (⋃ i, s i
   exact extend_mono m0 mU (MeasurableSet.disjointed h _) (disjointed_le f _)
 #align measure_theory.extend_Union_le_tsum_nat MeasureTheory.extend_iUnion_le_tsum_nat
 
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 theorem inducedOuterMeasure_eq_extend {s : Set α} (hs : MeasurableSet s) :
     inducedOuterMeasure m MeasurableSet.empty m0 s = extend m s :=
   ofFunction_eq s (fun t => extend_mono m0 mU hs) (extend_iUnion_le_tsum_nat m0 mU)
 #align measure_theory.induced_outer_measure_eq_extend MeasureTheory.inducedOuterMeasure_eq_extend
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_eq MeasureTheory.inducedOuterMeasure_eqₓ'. -/
 theorem inducedOuterMeasure_eq {s : Set α} (hs : MeasurableSet s) :
     inducedOuterMeasure m MeasurableSet.empty m0 s = m s hs :=
   (inducedOuterMeasure_eq_extend m0 mU hs).trans <| extend_eq _ _
@@ -2387,12 +1622,6 @@ def trim : OuterMeasure α :=
 #align measure_theory.outer_measure.trim MeasureTheory.OuterMeasure.trim
 -/
 
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 theorem le_trim : m ≤ m.trim :=
   le_ofFunction.mpr fun s => le_iInf fun _ => le_rfl
 #align measure_theory.outer_measure.le_trim MeasureTheory.OuterMeasure.le_trim
@@ -2417,22 +1646,10 @@ theorem trim_mono : Monotone (trim : OuterMeasure α → OuterMeasure α) := fun
 #align measure_theory.outer_measure.trim_mono MeasureTheory.OuterMeasure.trim_mono
 -/
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_trim_iff MeasureTheory.OuterMeasure.le_trim_iffₓ'. -/
 theorem le_trim_iff {m₁ m₂ : OuterMeasure α} : m₁ ≤ m₂.trim ↔ ∀ s, MeasurableSet s → m₁ s ≤ m₂ s :=
   le_ofFunction.trans <| forall_congr' fun s => le_iInf_iff
 #align measure_theory.outer_measure.le_trim_iff MeasureTheory.OuterMeasure.le_trim_iff
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.trim_le_trim_iff MeasureTheory.OuterMeasure.trim_le_trim_iffₓ'. -/
 theorem trim_le_trim_iff {m₁ m₂ : OuterMeasure α} :
     m₁.trim ≤ m₂.trim ↔ ∀ s, MeasurableSet s → m₁ s ≤ m₂ s :=
   le_trim_iff.trans <| forall₂_congr fun s hs => by rw [trim_eq _ hs]
@@ -2445,12 +1662,6 @@ theorem trim_eq_trim_iff {m₁ m₂ : OuterMeasure α} :
 #align measure_theory.outer_measure.trim_eq_trim_iff MeasureTheory.OuterMeasure.trim_eq_trim_iff
 -/
 
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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.trim_eq_infi MeasureTheory.OuterMeasure.trim_eq_iInfₓ'. -/
 theorem trim_eq_iInf (s : Set α) : m.trim s = ⨅ (t) (st : s ⊆ t) (ht : MeasurableSet t), m t := by
   simp (config := { singlePass := true }) only [iInf_comm];
   exact
@@ -2458,12 +1669,6 @@ theorem trim_eq_iInf (s : Set α) : m.trim s = ⨅ (t) (st : s ⊆ t) (ht : Meas
       (fun _ _ _ _ h => m.mono h) s
 #align measure_theory.outer_measure.trim_eq_infi MeasureTheory.OuterMeasure.trim_eq_iInf
 
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 theorem trim_eq_iInf' (s : Set α) : m.trim s = ⨅ t : { t // s ⊆ t ∧ MeasurableSet t }, m t := by
   simp [iInf_subtype, iInf_and, trim_eq_infi]
 #align measure_theory.outer_measure.trim_eq_infi' MeasureTheory.OuterMeasure.trim_eq_iInf'
@@ -2491,12 +1696,6 @@ theorem trim_zero : (0 : OuterMeasure α).trim = 0 :=
 #align measure_theory.outer_measure.trim_zero MeasureTheory.OuterMeasure.trim_zero
 -/
 
-/- warning: measure_theory.outer_measure.trim_sum_ge -> MeasureTheory.OuterMeasure.trim_sum_ge is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {ι : Type.{u2}} (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toHasLe.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) (MeasureTheory.OuterMeasure.sum.{u1, u2} α ι (fun (i : ι) => MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 (m i))) (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 (MeasureTheory.OuterMeasure.sum.{u1, u2} α ι m))
-but is expected to have type
-  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {ι : Type.{u2}} (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) (MeasureTheory.OuterMeasure.sum.{u1, u2} α ι (fun (i : ι) => MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 (m i))) (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 (MeasureTheory.OuterMeasure.sum.{u1, u2} α ι m))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.trim_sum_ge MeasureTheory.OuterMeasure.trim_sum_geₓ'. -/
 theorem trim_sum_ge {ι} (m : ι → OuterMeasure α) : (sum fun i => (m i).trim) ≤ (sum m).trim :=
   fun s => by
   simp [trim_eq_infi] <;>
@@ -2535,12 +1734,6 @@ theorem exists_measurable_superset_eq_trim (m : OuterMeasure α) (s : Set α) :
 #align measure_theory.outer_measure.exists_measurable_superset_eq_trim MeasureTheory.OuterMeasure.exists_measurable_superset_eq_trim
 -/
 
-/- warning: measure_theory.outer_measure.exists_measurable_superset_of_trim_eq_zero -> MeasureTheory.OuterMeasure.exists_measurable_superset_of_trim_eq_zero is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : MeasureTheory.OuterMeasure.{u1} α} {s : Set.{u1} α}, (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m) s) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (Exists.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (And (MeasurableSet.{u1} α _inst_1 t) (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m t) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))))))
-but is expected to have type
-  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : MeasureTheory.OuterMeasure.{u1} α} {s : Set.{u1} α}, (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m) s) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (Exists.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) (And (MeasurableSet.{u1} α _inst_1 t) (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m t) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))))))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.exists_measurable_superset_of_trim_eq_zero MeasureTheory.OuterMeasure.exists_measurable_superset_of_trim_eq_zeroₓ'. -/
 theorem exists_measurable_superset_of_trim_eq_zero {m : OuterMeasure α} {s : Set α}
     (h : m.trim s = 0) : ∃ t, s ⊆ t ∧ MeasurableSet t ∧ m t = 0 :=
   by
@@ -2589,12 +1782,6 @@ theorem trim_add (m₁ m₂ : OuterMeasure α) : (m₁ + m₂).trim = m₁.trim
 #align measure_theory.outer_measure.trim_add MeasureTheory.OuterMeasure.trim_add
 -/
 
-/- warning: measure_theory.outer_measure.trim_smul -> MeasureTheory.OuterMeasure.trim_smul is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {R : Type.{u2}} [_inst_2 : SMul.{u2, 0} R ENNReal] [_inst_3 : IsScalarTower.{u2, 0, 0} R ENNReal ENNReal _inst_2 (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) _inst_2] (c : R) (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 (SMul.smul.{u2, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.hasSmul.{u1, u2} α R _inst_2 _inst_3) c m)) (SMul.smul.{u2, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.hasSmul.{u1, u2} α R _inst_2 _inst_3) c (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m))
-but is expected to have type
-  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {R : Type.{u2}} [_inst_2 : SMul.{u2, 0} R ENNReal] [_inst_3 : IsScalarTower.{u2, 0, 0} R ENNReal ENNReal _inst_2 (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) _inst_2] (c : R) (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 (HSMul.hSMul.{u2, u1, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (instHSMul.{u2, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSMul.{u1, u2} α R _inst_2 _inst_3)) c m)) (HSMul.hSMul.{u2, u1, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (instHSMul.{u2, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSMul.{u1, u2} α R _inst_2 _inst_3)) c (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.trim_smul MeasureTheory.OuterMeasure.trim_smulₓ'. -/
 /-- `trim` respects scalar multiplication. -/
 theorem trim_smul {R : Type _} [SMul R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞] (c : R)
     (m : OuterMeasure α) : (c • m).trim = c • m.trim :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

@@ -189,9 +189,7 @@ but is expected to have type
   forall {α : Type.{u2}} {β : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u2} α) {s : Set.{u1} β}, (Set.Countable.{u1} β s) -> (forall {t : β -> (Set.{u2} α)}, Iff (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u2} α m (Set.iUnion.{u2, succ u1} α β (fun (i : β) => Set.iUnion.{u2, 0} α (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) i s) (fun (H : Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) i s) => t i)))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (forall (i : β), (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) i s) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u2} α m (t i)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.bUnion_null_iff MeasureTheory.OuterMeasure.biUnion_null_iffₓ'. -/
 theorem biUnion_null_iff (m : OuterMeasure α) {s : Set β} (hs : s.Countable) {t : β → Set α} :
-    m (⋃ i ∈ s, t i) = 0 ↔ ∀ i ∈ s, m (t i) = 0 :=
-  by
-  haveI := hs.to_encodable
+    m (⋃ i ∈ s, t i) = 0 ↔ ∀ i ∈ s, m (t i) = 0 := by haveI := hs.to_encodable;
   rw [bUnion_eq_Union, Union_null_iff, SetCoe.forall']
 #align measure_theory.outer_measure.bUnion_null_iff MeasureTheory.OuterMeasure.biUnion_null_iff
 
@@ -305,10 +303,8 @@ theorem iUnion_nat_of_monotone_of_tsum_ne_top (m : OuterMeasure α) {s : ℕ →
   have h' : Monotone s := @monotone_nat_of_le_succ (Set α) _ _ h_mono
   simp only [diff_subset_iff, Union_subset_iff]
   intro i x hx
-  rcases Nat.findX ⟨i, hx⟩ with ⟨j, hj, hlt⟩
-  clear hx i
-  cases' le_or_lt j n with hjn hnj
-  · exact Or.inl (h' hjn hj)
+  rcases Nat.findX ⟨i, hx⟩ with ⟨j, hj, hlt⟩; clear hx i
+  cases' le_or_lt j n with hjn hnj; · exact Or.inl (h' hjn hj)
   have : j - (n + 1) + n + 1 = j := by rw [add_assoc, tsub_add_cancel_of_le hnj.nat_succ_le]
   refine' Or.inr (mem_Union.2 ⟨j - (n + 1), _, hlt _ _⟩)
   · rwa [this]
@@ -322,9 +318,7 @@ but is expected to have type
   forall {α : Type.{u1}} {m : MeasureTheory.OuterMeasure.{u1} α} {t : Set.{u1} α} (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m t) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (SDiff.sdiff.{u1} (Set.{u1} α) (Set.instSDiffSet.{u1} α) t s)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_inter_add_diff MeasureTheory.OuterMeasure.le_inter_add_diffₓ'. -/
 theorem le_inter_add_diff {m : OuterMeasure α} {t : Set α} (s : Set α) :
-    m t ≤ m (t ∩ s) + m (t \ s) := by
-  convert m.union _ _
-  rw [inter_union_diff t s]
+    m t ≤ m (t ∩ s) + m (t \ s) := by convert m.union _ _; rw [inter_union_diff t s]
 #align measure_theory.outer_measure.le_inter_add_diff MeasureTheory.OuterMeasure.le_inter_add_diff
 
 /- warning: measure_theory.outer_measure.diff_null -> MeasureTheory.OuterMeasure.diff_null is a dubious translation:
@@ -355,11 +349,7 @@ theorem union_null (m : OuterMeasure α) {s₁ s₂ : Set α} (h₁ : m s₁ = 0
 
 #print MeasureTheory.OuterMeasure.coe_fn_injective /-
 theorem coe_fn_injective : Injective fun (μ : OuterMeasure α) (s : Set α) => μ s := fun μ₁ μ₂ h =>
-  by
-  cases μ₁
-  cases μ₂
-  congr
-  exact h
+  by cases μ₁; cases μ₂; congr ; exact h
 #align measure_theory.outer_measure.coe_fn_injective MeasureTheory.OuterMeasure.coe_fn_injective
 -/
 
@@ -788,9 +778,7 @@ def comap {β} (f : α → β) : OuterMeasure β →ₗ[ℝ≥0∞] OuterMeasure
     { measureOf := fun s => m (f '' s)
       Empty := by simp
       mono := fun s t h => m.mono <| image_subset f h
-      iUnion_nat := fun s => by
-        rw [image_Union]
-        apply m.Union_nat }
+      iUnion_nat := fun s => by rw [image_Union]; apply m.Union_nat }
   map_add' m₁ m₂ := rfl
   map_smul' c m := rfl
 #align measure_theory.outer_measure.comap MeasureTheory.OuterMeasure.comap
@@ -843,9 +831,7 @@ theorem restrict_apply (s t : Set α) (m : OuterMeasure α) : restrict s m t = m
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_mono MeasureTheory.OuterMeasure.restrict_monoₓ'. -/
 @[mono]
 theorem restrict_mono {s t : Set α} (h : s ⊆ t) {m m' : OuterMeasure α} (hm : m ≤ m') :
-    restrict s m ≤ restrict t m' := fun u =>
-  by
-  simp only [restrict_apply]
+    restrict s m ≤ restrict t m' := fun u => by simp only [restrict_apply];
   exact (hm _).trans (m'.mono <| inter_subset_inter_right _ h)
 #align measure_theory.outer_measure.restrict_mono MeasureTheory.OuterMeasure.restrict_mono
 
@@ -1156,8 +1142,7 @@ theorem comap_ofFunction {β} (f : β → α) (h : Monotone m ∨ Surjective f)
       OuterMeasure.ofFunction (fun s => m (f '' s)) (by rwa [Set.image_empty]) :=
   by
   refine' le_antisymm (le_of_function.2 fun s => _) fun s => _
-  · rw [comap_apply]
-    apply of_function_le
+  · rw [comap_apply]; apply of_function_le
   · rw [comap_apply, of_function_apply, of_function_apply]
     refine' iInf_mono' fun t => ⟨fun k => f ⁻¹' t k, _⟩
     refine' iInf_mono' fun ht => _
@@ -1173,9 +1158,7 @@ Case conversion may be inaccurate. Consider using '#align measure_theory.outer_m
 theorem map_ofFunction_le {β} (f : α → β) :
     map f (OuterMeasure.ofFunction m m_empty) ≤
       OuterMeasure.ofFunction (fun s => m (f ⁻¹' s)) m_empty :=
-  le_ofFunction.2 fun s => by
-    rw [map_apply]
-    apply of_function_le
+  le_ofFunction.2 fun s => by rw [map_apply]; apply of_function_le
 #align measure_theory.outer_measure.map_of_function_le MeasureTheory.OuterMeasure.map_ofFunction_le
 
 /- warning: measure_theory.outer_measure.map_of_function -> MeasureTheory.OuterMeasure.map_ofFunction is a dubious translation:
@@ -1254,9 +1237,7 @@ Case conversion may be inaccurate. Consider using '#align measure_theory.outer_m
 theorem boundedBy_eq_ofFunction (m_empty : m ∅ = 0) (s : Set α) :
     boundedBy m s = OuterMeasure.ofFunction m m_empty s :=
   by
-  have : (fun s : Set α => ⨆ h : s.Nonempty, m s) = m :=
-    by
-    ext1 t
+  have : (fun s : Set α => ⨆ h : s.Nonempty, m s) = m := by ext1 t;
     cases' t.eq_empty_or_nonempty with h h <;> simp [h, not_nonempty_empty, m_empty]
   simp [bounded_by, this]
 #align measure_theory.outer_measure.bounded_by_eq_of_function MeasureTheory.OuterMeasure.boundedBy_eq_ofFunction
@@ -1309,11 +1290,8 @@ but is expected to have type
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {μ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) μ (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (forall (s : Set.{u1} α), (Set.Nonempty.{u1} α s) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α μ s) (m s)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_bounded_by' MeasureTheory.OuterMeasure.le_boundedBy'ₓ'. -/
 theorem le_boundedBy' {μ : OuterMeasure α} :
-    μ ≤ boundedBy m ↔ ∀ s : Set α, s.Nonempty → μ s ≤ m s :=
-  by
-  rw [le_bounded_by, forall_congr']
-  intro s
-  cases' s.eq_empty_or_nonempty with h h <;> simp [h]
+    μ ≤ boundedBy m ↔ ∀ s : Set α, s.Nonempty → μ s ≤ m s := by rw [le_bounded_by, forall_congr'];
+  intro s; cases' s.eq_empty_or_nonempty with h h <;> simp [h]
 #align measure_theory.outer_measure.le_bounded_by' MeasureTheory.OuterMeasure.le_boundedBy'
 
 #print MeasureTheory.OuterMeasure.boundedBy_top /-
@@ -1628,12 +1606,9 @@ theorem ofFunction_caratheodory {m : Set α → ℝ≥0∞} {s : Set α} {h₀ :
       (add_le_add ((iInf_le_of_le fun i => f i ∩ s) <| iInf_le _ _)
         ((iInf_le_of_le fun i => f i \ s) <| iInf_le _ _))
       _
-  · rw [← Union_inter]
-    exact inter_subset_inter_left _ hf
-  · rw [← Union_diff]
-    exact diff_subset_diff_left hf
-  · rw [← ENNReal.tsum_add]
-    exact ENNReal.tsum_le_tsum fun i => hs _
+  · rw [← Union_inter]; exact inter_subset_inter_left _ hf
+  · rw [← Union_diff]; exact diff_subset_diff_left hf
+  · rw [← ENNReal.tsum_add]; exact ENNReal.tsum_le_tsum fun i => hs _
 #align measure_theory.outer_measure.of_function_caratheodory MeasureTheory.OuterMeasure.ofFunction_caratheodory
 
 /- warning: measure_theory.outer_measure.bounded_by_caratheodory -> MeasureTheory.OuterMeasure.boundedBy_caratheodory is a dubious translation:
@@ -1648,9 +1623,7 @@ theorem boundedBy_caratheodory {m : Set α → ℝ≥0∞} {s : Set α}
   apply of_function_caratheodory; intro t
   cases' t.eq_empty_or_nonempty with h h
   · simp [h, not_nonempty_empty]
-  · convert le_trans _ (hs t)
-    · simp [h]
-    exact add_le_add iSup_const_le iSup_const_le
+  · convert le_trans _ (hs t); · simp [h]; exact add_le_add iSup_const_le iSup_const_le
 #align measure_theory.outer_measure.bounded_by_caratheodory MeasureTheory.OuterMeasure.boundedBy_caratheodory
 
 /- warning: measure_theory.outer_measure.zero_caratheodory -> MeasureTheory.OuterMeasure.zero_caratheodory is a dubious translation:
@@ -1757,9 +1730,7 @@ theorem sInf_eq_boundedBy_sInfGen (m : Set (OuterMeasure α)) :
   refine' le_antisymm _ _
   · refine' le_bounded_by.2 fun s => le_iInf₂ fun μ hμ => _
     exact (show Inf m ≤ μ from sInf_le hμ) s
-  · refine' le_sInf _
-    intro μ hμ t
-    refine' le_trans (bounded_by_le t) (iInf₂_le μ hμ)
+  · refine' le_sInf _; intro μ hμ t; refine' le_trans (bounded_by_le t) (iInf₂_le μ hμ)
 #align measure_theory.outer_measure.Inf_eq_bounded_by_Inf_gen MeasureTheory.OuterMeasure.sInf_eq_boundedBy_sInfGen
 
 /- warning: measure_theory.outer_measure.supr_Inf_gen_nonempty -> MeasureTheory.OuterMeasure.iSup_sInfGen_nonempty is a dubious translation:
@@ -1820,10 +1791,8 @@ Case conversion may be inaccurate. Consider using '#align measure_theory.outer_m
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
 theorem iInf_apply {ι} [Nonempty ι] (m : ι → OuterMeasure α) (s : Set α) :
-    (⨅ i, m i) s = ⨅ (t : ℕ → Set α) (h2 : s ⊆ iUnion t), ∑' n, ⨅ i, m i (t n) :=
-  by
-  rw [iInf, sInf_apply (range_nonempty m)]
-  simp only [iInf_range]
+    (⨅ i, m i) s = ⨅ (t : ℕ → Set α) (h2 : s ⊆ iUnion t), ∑' n, ⨅ i, m i (t n) := by
+  rw [iInf, sInf_apply (range_nonempty m)]; simp only [iInf_range]
 #align measure_theory.outer_measure.infi_apply MeasureTheory.OuterMeasure.iInf_apply
 
 /- warning: measure_theory.outer_measure.infi_apply' -> MeasureTheory.OuterMeasure.iInf_apply' is a dubious translation:
@@ -1836,10 +1805,8 @@ Case conversion may be inaccurate. Consider using '#align measure_theory.outer_m
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
 theorem iInf_apply' {ι} (m : ι → OuterMeasure α) {s : Set α} (hs : s.Nonempty) :
-    (⨅ i, m i) s = ⨅ (t : ℕ → Set α) (h2 : s ⊆ iUnion t), ∑' n, ⨅ i, m i (t n) :=
-  by
-  rw [iInf, Inf_apply' hs]
-  simp only [iInf_range]
+    (⨅ i, m i) s = ⨅ (t : ℕ → Set α) (h2 : s ⊆ iUnion t), ∑' n, ⨅ i, m i (t n) := by
+  rw [iInf, Inf_apply' hs]; simp only [iInf_range]
 #align measure_theory.outer_measure.infi_apply' MeasureTheory.OuterMeasure.iInf_apply'
 
 /- warning: measure_theory.outer_measure.binfi_apply -> MeasureTheory.OuterMeasure.biInf_apply is a dubious translation:
@@ -1852,10 +1819,8 @@ Case conversion may be inaccurate. Consider using '#align measure_theory.outer_m
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
 theorem biInf_apply {ι} {I : Set ι} (hI : I.Nonempty) (m : ι → OuterMeasure α) (s : Set α) :
-    (⨅ i ∈ I, m i) s = ⨅ (t : ℕ → Set α) (h2 : s ⊆ iUnion t), ∑' n, ⨅ i ∈ I, m i (t n) :=
-  by
-  haveI := hI.to_subtype
-  simp only [← iInf_subtype'', iInf_apply]
+    (⨅ i ∈ I, m i) s = ⨅ (t : ℕ → Set α) (h2 : s ⊆ iUnion t), ∑' n, ⨅ i ∈ I, m i (t n) := by
+  haveI := hI.to_subtype; simp only [← iInf_subtype'', iInf_apply]
 #align measure_theory.outer_measure.binfi_apply MeasureTheory.OuterMeasure.biInf_apply
 
 /- warning: measure_theory.outer_measure.binfi_apply' -> MeasureTheory.OuterMeasure.biInf_apply' is a dubious translation:
@@ -1924,11 +1889,8 @@ theorem map_iInf_comap {ι β} [Nonempty ι] {f : α → β} (m : ι → OuterMe
 <too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_binfi_comap MeasureTheory.OuterMeasure.map_biInf_comapₓ'. -/
 theorem map_biInf_comap {ι β} {I : Set ι} (hI : I.Nonempty) {f : α → β} (m : ι → OuterMeasure β) :
-    map f (⨅ i ∈ I, comap f (m i)) = ⨅ i ∈ I, map f (comap f (m i)) :=
-  by
-  haveI := hI.to_subtype
-  rw [← iInf_subtype'', ← iInf_subtype'']
-  exact map_infi_comap _
+    map f (⨅ i ∈ I, comap f (m i)) = ⨅ i ∈ I, map f (comap f (m i)) := by haveI := hI.to_subtype;
+  rw [← iInf_subtype'', ← iInf_subtype'']; exact map_infi_comap _
 #align measure_theory.outer_measure.map_binfi_comap MeasureTheory.OuterMeasure.map_biInf_comap
 
 /- warning: measure_theory.outer_measure.restrict_infi_restrict -> MeasureTheory.OuterMeasure.restrict_iInf_restrict is a dubious translation:
@@ -1956,11 +1918,8 @@ theorem restrict_iInf {ι} [Nonempty ι] (s : Set α) (m : ι → OuterMeasure 
 <too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_binfi MeasureTheory.OuterMeasure.restrict_biInfₓ'. -/
 theorem restrict_biInf {ι} {I : Set ι} (hI : I.Nonempty) (s : Set α) (m : ι → OuterMeasure α) :
-    restrict s (⨅ i ∈ I, m i) = ⨅ i ∈ I, restrict s (m i) :=
-  by
-  haveI := hI.to_subtype
-  rw [← iInf_subtype'', ← iInf_subtype'']
-  exact restrict_infi _ _
+    restrict s (⨅ i ∈ I, m i) = ⨅ i ∈ I, restrict s (m i) := by haveI := hI.to_subtype;
+  rw [← iInf_subtype'', ← iInf_subtype'']; exact restrict_infi _ _
 #align measure_theory.outer_measure.restrict_binfi MeasureTheory.OuterMeasure.restrict_biInf
 
 /- warning: measure_theory.outer_measure.restrict_Inf_eq_Inf_restrict -> MeasureTheory.OuterMeasure.restrict_sInf_eq_sInf_restrict is a dubious translation:
@@ -2041,11 +2000,8 @@ lean 3 declaration is
 but is expected to have type
   forall {α : Type.{u1}} {P : α -> Prop} (m : forall (s : α), (P s) -> ENNReal) {s : α} (h : P s), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s h) (MeasureTheory.extend.{u1} α (fun (s : α) => P s) m s)
 Case conversion may be inaccurate. Consider using '#align measure_theory.le_extend MeasureTheory.le_extendₓ'. -/
-theorem le_extend {s : α} (h : P s) : m s h ≤ extend m s :=
-  by
-  simp only [extend, le_iInf_iff]
-  intro
-  rfl
+theorem le_extend {s : α} (h : P s) : m s h ≤ extend m s := by simp only [extend, le_iInf_iff];
+  intro ; rfl
 #align measure_theory.le_extend MeasureTheory.le_extend
 
 #print MeasureTheory.extend_congr /-
@@ -2108,10 +2064,7 @@ Case conversion may be inaccurate. Consider using '#align measure_theory.extend_
 theorem extend_iUnion_nat {f : ℕ → Set α} (hm : ∀ i, P (f i))
     (mU : m (⋃ i, f i) (PU hm) = ∑' i, m (f i) (hm i)) :
     extend m (⋃ i, f i) = ∑' i, extend m (f i) :=
-  (extend_eq _ _).trans <|
-    mU.trans <| by
-      congr with i
-      rw [extend_eq]
+  (extend_eq _ _).trans <| mU.trans <| by congr with i; rw [extend_eq]
 #align measure_theory.extend_Union_nat MeasureTheory.extend_iUnion_nat
 
 section Subadditive
@@ -2129,8 +2082,7 @@ theorem extend_iUnion_le_tsum_nat' (s : ℕ → Set α) : extend m (⋃ i, s i)
   by_cases h : ∀ i, P (s i)
   · rw [extend_eq _ (PU h), congr_arg tsum _]
     · apply msU h
-    funext i
-    apply extend_eq _ (h i)
+    funext i; apply extend_eq _ (h i)
   · cases' not_forall.1 h with i hi
     exact le_trans (le_iInf fun h => hi.elim h) (ENNReal.le_tsum i)
 #align measure_theory.extend_Union_le_tsum_nat' MeasureTheory.extend_iUnion_le_tsum_nat'
@@ -2147,12 +2099,8 @@ lean 3 declaration is
 but is expected to have type
   forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal}, (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}}, (P s₁) -> (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s₁) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s₂)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.extend_mono' MeasureTheory.extend_mono'ₓ'. -/
-theorem extend_mono' ⦃s₁ s₂ : Set α⦄ (h₁ : P s₁) (hs : s₁ ⊆ s₂) : extend m s₁ ≤ extend m s₂ :=
-  by
-  refine' le_iInf _
-  intro h₂
-  rw [extend_eq m h₁]
-  exact m_mono h₁ h₂ hs
+theorem extend_mono' ⦃s₁ s₂ : Set α⦄ (h₁ : P s₁) (hs : s₁ ⊆ s₂) : extend m s₁ ≤ extend m s₂ := by
+  refine' le_iInf _; intro h₂; rw [extend_eq m h₁]; exact m_mono h₁ h₂ hs
 #align measure_theory.extend_mono' MeasureTheory.extend_mono'
 
 end Mono
@@ -2274,17 +2222,12 @@ theorem inducedOuterMeasure_eq_iInf (s : Set α) :
     inducedOuterMeasure m P0 m0 s = ⨅ (t : Set α) (ht : P t) (h : s ⊆ t), m t ht :=
   by
   apply le_antisymm
-  · simp only [le_iInf_iff]
-    intro t ht hs
+  · simp only [le_iInf_iff]; intro t ht hs
     refine' le_trans (mono' _ hs) _
     exact le_of_eq (induced_outer_measure_eq' _ msU m_mono _)
-  · refine' le_iInf _
-    intro f
-    refine' le_iInf _
-    intro hf
+  · refine' le_iInf _; intro f; refine' le_iInf _; intro hf
     refine' le_trans _ (extend_Union_le_tsum_nat' _ msU _)
-    refine' le_iInf _
-    intro h2f
+    refine' le_iInf _; intro h2f
     refine' iInf_le_of_le _ (iInf_le_of_le h2f <| iInf_le _ hf)
 #align measure_theory.induced_outer_measure_eq_infi MeasureTheory.inducedOuterMeasure_eq_iInf
 
@@ -2345,16 +2288,9 @@ theorem inducedOuterMeasure_caratheodory (s : Set α) :
   by
   rw [is_caratheodory_iff_le]
   constructor
-  · intro h t ht
-    exact h t
-  · intro h u
-    conv_rhs => rw [induced_outer_measure_eq_infi _ msU m_mono]
-    refine' le_iInf _
-    intro t
-    refine' le_iInf _
-    intro ht
-    refine' le_iInf _
-    intro h2t
+  · intro h t ht; exact h t
+  · intro h u; conv_rhs => rw [induced_outer_measure_eq_infi _ msU m_mono]
+    refine' le_iInf _; intro t; refine' le_iInf _; intro ht; refine' le_iInf _; intro h2t
     refine' le_trans _ (le_trans (h t ht) <| le_of_eq <| induced_outer_measure_eq' _ msU m_mono ht)
     refine'
       add_le_add (mono' _ <| Set.inter_subset_inter_left _ h2t)
@@ -2470,11 +2406,7 @@ theorem trim_eq {s : Set α} (hs : MeasurableSet s) : m.trim s = m s :=
 
 #print MeasureTheory.OuterMeasure.trim_congr /-
 theorem trim_congr {m₁ m₂ : OuterMeasure α} (H : ∀ {s : Set α}, MeasurableSet s → m₁ s = m₂ s) :
-    m₁.trim = m₂.trim := by
-  unfold trim
-  congr
-  funext s hs
-  exact H hs
+    m₁.trim = m₂.trim := by unfold trim; congr ; funext s hs; exact H hs
 #align measure_theory.outer_measure.trim_congr MeasureTheory.OuterMeasure.trim_congr
 -/
 
@@ -2519,9 +2451,8 @@ lean 3 declaration is
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m) s) (iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Set.{u1} α) (fun (t : Set.{u1} α) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) (fun (st : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (MeasurableSet.{u1} α _inst_1 t) (fun (ht : MeasurableSet.{u1} α _inst_1 t) => MeasureTheory.OuterMeasure.measureOf.{u1} α m t))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.trim_eq_infi MeasureTheory.OuterMeasure.trim_eq_iInfₓ'. -/
-theorem trim_eq_iInf (s : Set α) : m.trim s = ⨅ (t) (st : s ⊆ t) (ht : MeasurableSet t), m t :=
-  by
-  simp (config := { singlePass := true }) only [iInf_comm]
+theorem trim_eq_iInf (s : Set α) : m.trim s = ⨅ (t) (st : s ⊆ t) (ht : MeasurableSet t), m t := by
+  simp (config := { singlePass := true }) only [iInf_comm];
   exact
     induced_outer_measure_eq_infi MeasurableSet.iUnion (fun f _ => m.Union_nat f)
       (fun _ _ _ _ h => m.mono h) s
@@ -2702,8 +2633,7 @@ theorem restrict_trim {μ : OuterMeasure α} {s : Set α} (hs : MeasurableSet s)
   refine' le_antisymm (fun t => _) (le_trim_iff.2 fun t ht => _)
   · rw [restrict_apply]
     rcases μ.exists_measurable_superset_eq_trim (t ∩ s) with ⟨t', htt', ht', hμt'⟩
-    rw [← hμt']
-    rw [inter_subset] at htt'
+    rw [← hμt']; rw [inter_subset] at htt'
     refine' (mono' _ htt').trans _
     rw [trim_eq _ (hs.compl.union ht'), restrict_apply, union_inter_distrib_right, compl_inter_self,
       Set.empty_union]

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

@@ -657,10 +657,7 @@ def map {β} (f : α → β) : OuterMeasure α →ₗ[ℝ≥0∞] OuterMeasure 
 #align measure_theory.outer_measure.map MeasureTheory.OuterMeasure.map
 
 /- warning: measure_theory.outer_measure.map_apply -> MeasureTheory.OuterMeasure.map_apply is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u2} β), Eq.{1} ENNReal (coeFn.{succ u2, succ u2} (MeasureTheory.OuterMeasure.{u2} β) (fun (_x : MeasureTheory.OuterMeasure.{u2} β) => (Set.{u2} β) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_apply MeasureTheory.OuterMeasure.map_applyₓ'. -/
 @[simp]
 theorem map_apply {β} (f : α → β) (m : OuterMeasure α) (s : Set β) : map f m s = m (f ⁻¹' s) :=
@@ -668,10 +665,7 @@ theorem map_apply {β} (f : α → β) (m : OuterMeasure α) (s : Set β) : map
 #align measure_theory.outer_measure.map_apply MeasureTheory.OuterMeasure.map_apply
 
 /- warning: measure_theory.outer_measure.map_id -> MeasureTheory.OuterMeasure.map_id is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_id MeasureTheory.OuterMeasure.map_idₓ'. -/
 @[simp]
 theorem map_id (m : OuterMeasure α) : map id m = m :=
@@ -679,10 +673,7 @@ theorem map_id (m : OuterMeasure α) : map id m = m :=
 #align measure_theory.outer_measure.map_id MeasureTheory.OuterMeasure.map_id
 
 /- warning: measure_theory.outer_measure.map_map -> MeasureTheory.OuterMeasure.map_map is a dubious translation:
-lean 3 declaration is
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(MeasureTheory.OuterMeasure.{u3} γ) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} γ) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} γ ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u2, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u3} γ) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} γ) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} γ ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u3} γ)) (LinearMap.hasCoeToFun.{0, 0, u2, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u3} γ) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} γ) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} γ ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u2, u3} β γ g) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) m)) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} γ) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} γ) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} γ ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal 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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} γ)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} γ) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} γ) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} γ ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal 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-but is expected to have type
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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_map MeasureTheory.OuterMeasure.map_mapₓ'. -/
 @[simp]
 theorem map_map {β γ} (f : α → β) (g : β → γ) (m : OuterMeasure α) :
@@ -691,20 +682,14 @@ theorem map_map {β γ} (f : α → β) (g : β → γ) (m : OuterMeasure α) :
 #align measure_theory.outer_measure.map_map MeasureTheory.OuterMeasure.map_map
 
 /- warning: measure_theory.outer_measure.map_mono -> MeasureTheory.OuterMeasure.map_mono is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_mono MeasureTheory.OuterMeasure.map_monoₓ'. -/
 @[mono]
 theorem map_mono {β} (f : α → β) : Monotone (map f) := fun m m' h s => h _
 #align measure_theory.outer_measure.map_mono MeasureTheory.OuterMeasure.map_mono
 
 /- warning: measure_theory.outer_measure.map_sup -> MeasureTheory.OuterMeasure.map_sup is a dubious translation:
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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) 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ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (Sup.sup.{u1} (MeasureTheory.OuterMeasure.{u1} α) (SemilatticeSup.toHasSup.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Lattice.toSemilatticeSup.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))))) m m')) (Sup.sup.{u2} (MeasureTheory.OuterMeasure.{u2} β) (SemilatticeSup.toHasSup.{u2} (MeasureTheory.OuterMeasure.{u2} β) (Lattice.toSemilatticeSup.{u2} (MeasureTheory.OuterMeasure.{u2} β) (ConditionallyCompleteLattice.toLattice.{u2} (MeasureTheory.OuterMeasure.{u2} β) (CompleteLattice.toConditionallyCompleteLattice.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} β))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) m) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) 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(MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal 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-but is expected to have type
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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_sup MeasureTheory.OuterMeasure.map_supₓ'. -/
 @[simp]
 theorem map_sup {β} (f : α → β) (m m' : OuterMeasure α) : map f (m ⊔ m') = map f m ⊔ map f m' :=
@@ -712,10 +697,7 @@ theorem map_sup {β} (f : α → β) (m m' : OuterMeasure α) : map f (m ⊔ m')
 #align measure_theory.outer_measure.map_sup MeasureTheory.OuterMeasure.map_sup
 
 /- warning: measure_theory.outer_measure.map_supr -> MeasureTheory.OuterMeasure.map_iSup is a dubious translation:
-lean 3 declaration is
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(MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (iSup.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => m i))) (iSup.{u2, u3} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instSupSet.{u2} β) ι (fun (i : ι) => coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) 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(MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} 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ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_supr MeasureTheory.OuterMeasure.map_iSupₓ'. -/
 @[simp]
 theorem map_iSup {β ι} (f : α → β) (m : ι → OuterMeasure α) : map f (⨆ i, m i) = ⨆ i, map f (m i) :=
@@ -814,10 +796,7 @@ def comap {β} (f : α → β) : OuterMeasure β →ₗ[ℝ≥0∞] OuterMeasure
 #align measure_theory.outer_measure.comap MeasureTheory.OuterMeasure.comap
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_apply MeasureTheory.OuterMeasure.comap_applyₓ'. -/
 @[simp]
 theorem comap_apply {β} (f : α → β) (m : OuterMeasure β) (s : Set α) : comap f m s = m (f '' s) :=
@@ -825,20 +804,14 @@ theorem comap_apply {β} (f : α → β) (m : OuterMeasure β) (s : Set α) : co
 #align measure_theory.outer_measure.comap_apply MeasureTheory.OuterMeasure.comap_apply
 
 /- warning: measure_theory.outer_measure.comap_mono -> MeasureTheory.OuterMeasure.comap_mono is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_mono MeasureTheory.OuterMeasure.comap_monoₓ'. -/
 @[mono]
 theorem comap_mono {β} (f : α → β) : Monotone (comap f) := fun m m' h s => h _
 #align measure_theory.outer_measure.comap_mono MeasureTheory.OuterMeasure.comap_mono
 
 /- warning: measure_theory.outer_measure.comap_supr -> MeasureTheory.OuterMeasure.comap_iSup is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_supr MeasureTheory.OuterMeasure.comap_iSupₓ'. -/
 @[simp]
 theorem comap_iSup {β ι} (f : α → β) (m : ι → OuterMeasure β) :
@@ -858,10 +831,7 @@ def restrict (s : Set α) : OuterMeasure α →ₗ[ℝ≥0∞] OuterMeasure α :
 #align measure_theory.outer_measure.restrict MeasureTheory.OuterMeasure.restrict
 
 /- warning: measure_theory.outer_measure.restrict_apply -> MeasureTheory.OuterMeasure.restrict_apply is a dubious translation:
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ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) t) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s))
+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_apply MeasureTheory.OuterMeasure.restrict_applyₓ'. -/
 @[simp]
 theorem restrict_apply (s t : Set α) (m : OuterMeasure α) : restrict s m t = m (t ∩ s) := by
@@ -869,10 +839,7 @@ theorem restrict_apply (s t : Set α) (m : OuterMeasure α) : restrict s m t = m
 #align measure_theory.outer_measure.restrict_apply MeasureTheory.OuterMeasure.restrict_apply
 
 /- warning: measure_theory.outer_measure.restrict_mono -> MeasureTheory.OuterMeasure.restrict_mono is a dubious translation:
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(CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α t) m')))
-but is expected to have type
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succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal 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(Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α t) m')))
+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_mono MeasureTheory.OuterMeasure.restrict_monoₓ'. -/
 @[mono]
 theorem restrict_mono {s t : Set α} (h : s ⊆ t) {m m' : OuterMeasure α} (hm : m ≤ m') :
@@ -883,10 +850,7 @@ theorem restrict_mono {s t : Set α} (h : s ⊆ t) {m m' : OuterMeasure α} (hm
 #align measure_theory.outer_measure.restrict_mono MeasureTheory.OuterMeasure.restrict_mono
 
 /- warning: measure_theory.outer_measure.restrict_univ -> MeasureTheory.OuterMeasure.restrict_univ is a dubious translation:
-lean 3 declaration is
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ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α (Set.univ.{u1} α)) m) m
+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_univ MeasureTheory.OuterMeasure.restrict_univₓ'. -/
 @[simp]
 theorem restrict_univ (m : OuterMeasure α) : restrict univ m = m :=
@@ -894,10 +858,7 @@ theorem restrict_univ (m : OuterMeasure α) : restrict univ m = m :=
 #align measure_theory.outer_measure.restrict_univ MeasureTheory.OuterMeasure.restrict_univ
 
 /- warning: measure_theory.outer_measure.restrict_empty -> MeasureTheory.OuterMeasure.restrict_empty is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_empty MeasureTheory.OuterMeasure.restrict_emptyₓ'. -/
 @[simp]
 theorem restrict_empty (m : OuterMeasure α) : restrict ∅ m = 0 :=
@@ -905,10 +866,7 @@ theorem restrict_empty (m : OuterMeasure α) : restrict ∅ m = 0 :=
 #align measure_theory.outer_measure.restrict_empty MeasureTheory.OuterMeasure.restrict_empty
 
 /- warning: measure_theory.outer_measure.restrict_supr -> MeasureTheory.OuterMeasure.restrict_iSup is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_supr MeasureTheory.OuterMeasure.restrict_iSupₓ'. -/
 @[simp]
 theorem restrict_iSup {ι} (s : Set α) (m : ι → OuterMeasure α) :
@@ -916,40 +874,28 @@ theorem restrict_iSup {ι} (s : Set α) (m : ι → OuterMeasure α) :
 #align measure_theory.outer_measure.restrict_supr MeasureTheory.OuterMeasure.restrict_iSup
 
 /- warning: measure_theory.outer_measure.map_comap -> MeasureTheory.OuterMeasure.map_comap is a dubious translation:
-lean 3 declaration is
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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u2, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal 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ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u2, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} 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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_comap MeasureTheory.OuterMeasure.map_comapₓ'. -/
 theorem map_comap {β} (f : α → β) (m : OuterMeasure β) : map f (comap f m) = restrict (range f) m :=
   ext fun s => congr_arg m <| by simp only [image_preimage_eq_inter_range, Subtype.range_coe]
 #align measure_theory.outer_measure.map_comap MeasureTheory.OuterMeasure.map_comap
 
 /- warning: measure_theory.outer_measure.map_comap_le -> MeasureTheory.OuterMeasure.map_comap_le is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_comap_le MeasureTheory.OuterMeasure.map_comap_leₓ'. -/
 theorem map_comap_le {β} (f : α → β) (m : OuterMeasure β) : map f (comap f m) ≤ m := fun s =>
   m.mono <| image_preimage_subset _ _
 #align measure_theory.outer_measure.map_comap_le MeasureTheory.OuterMeasure.map_comap_le
 
 /- warning: measure_theory.outer_measure.restrict_le_self -> MeasureTheory.OuterMeasure.restrict_le_self is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_le_self MeasureTheory.OuterMeasure.restrict_le_selfₓ'. -/
 theorem restrict_le_self (m : OuterMeasure α) (s : Set α) : restrict s m ≤ m :=
   map_comap_le _ _
 #align measure_theory.outer_measure.restrict_le_self MeasureTheory.OuterMeasure.restrict_le_self
 
 /- warning: measure_theory.outer_measure.map_le_restrict_range -> MeasureTheory.OuterMeasure.map_le_restrict_range is a dubious translation:
-lean 3 declaration is
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ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) ma) (coeFn.{succ u2, succ u2} (LinearMap.{0, 0, u2, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u2, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u2, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u2} β (Set.range.{u2, succ u1} β α f)) mb)) (LE.le.{u2} (MeasureTheory.OuterMeasure.{u2} β) (Preorder.toHasLe.{u2} (MeasureTheory.OuterMeasure.{u2} β) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal 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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) ma) mb)
-but is expected to have type
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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (fun (_x : MeasureTheory.OuterMeasure.{u2} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u2} β) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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(CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} 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ma) (PartialOrder.toPreorder.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) ma) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal 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(Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) ma) mb)
+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_le_restrict_range MeasureTheory.OuterMeasure.map_le_restrict_rangeₓ'. -/
 @[simp]
 theorem map_le_restrict_range {β} {ma : OuterMeasure α} {mb : OuterMeasure β} {f : α → β} :
@@ -958,10 +904,7 @@ theorem map_le_restrict_range {β} {ma : OuterMeasure α} {mb : OuterMeasure β}
 #align measure_theory.outer_measure.map_le_restrict_range MeasureTheory.OuterMeasure.map_le_restrict_range
 
 /- warning: measure_theory.outer_measure.map_comap_of_surjective -> MeasureTheory.OuterMeasure.map_comap_of_surjective is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} {f : α -> β}, (Function.Surjective.{succ u1, succ u2} α β f) -> (forall (m : MeasureTheory.OuterMeasure.{u2} β), Eq.{succ u2} (MeasureTheory.OuterMeasure.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal 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(Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_comap_of_surjective MeasureTheory.OuterMeasure.map_comap_of_surjectiveₓ'. -/
 theorem map_comap_of_surjective {β} {f : α → β} (hf : Surjective f) (m : OuterMeasure β) :
     map f (comap f m) = m :=
@@ -969,20 +912,14 @@ theorem map_comap_of_surjective {β} {f : α → β} (hf : Surjective f) (m : Ou
 #align measure_theory.outer_measure.map_comap_of_surjective MeasureTheory.OuterMeasure.map_comap_of_surjective
 
 /- warning: measure_theory.outer_measure.le_comap_map -> MeasureTheory.OuterMeasure.le_comap_map is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_comap_map MeasureTheory.OuterMeasure.le_comap_mapₓ'. -/
 theorem le_comap_map {β} (f : α → β) (m : OuterMeasure α) : m ≤ comap f (map f m) := fun s =>
   m.mono <| subset_preimage_image _ _
 #align measure_theory.outer_measure.le_comap_map MeasureTheory.OuterMeasure.le_comap_map
 
 /- warning: measure_theory.outer_measure.comap_map -> MeasureTheory.OuterMeasure.comap_map is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_map MeasureTheory.OuterMeasure.comap_mapₓ'. -/
 theorem comap_map {β} {f : α → β} (hf : Injective f) (m : OuterMeasure α) : comap f (map f m) = m :=
   ext fun s => by rw [comap_apply, map_apply, hf.preimage_image]
@@ -1011,10 +948,7 @@ theorem top_apply' (s : Set α) : (⊤ : OuterMeasure α) s = ⨅ h : s = ∅, 0
 #align measure_theory.outer_measure.top_apply' MeasureTheory.OuterMeasure.top_apply'
 
 /- warning: measure_theory.outer_measure.comap_top -> MeasureTheory.OuterMeasure.comap_top is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_top MeasureTheory.OuterMeasure.comap_topₓ'. -/
 @[simp]
 theorem comap_top (f : α → β) : comap f ⊤ = ⊤ :=
@@ -1022,10 +956,7 @@ theorem comap_top (f : α → β) : comap f ⊤ = ⊤ :=
 #align measure_theory.outer_measure.comap_top MeasureTheory.OuterMeasure.comap_top
 
 /- warning: measure_theory.outer_measure.map_top -> MeasureTheory.OuterMeasure.map_top is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_top MeasureTheory.OuterMeasure.map_topₓ'. -/
 theorem map_top (f : α → β) : map f ⊤ = restrict (range f) ⊤ :=
   ext fun s => by
@@ -1034,10 +965,7 @@ theorem map_top (f : α → β) : map f ⊤ = restrict (range f) ⊤ :=
 #align measure_theory.outer_measure.map_top MeasureTheory.OuterMeasure.map_top
 
 /- warning: measure_theory.outer_measure.map_top_of_surjective -> MeasureTheory.OuterMeasure.map_top_of_surjective is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_top_of_surjective MeasureTheory.OuterMeasure.map_top_of_surjectiveₓ'. -/
 theorem map_top_of_surjective (f : α → β) (hf : Surjective f) : map f ⊤ = ⊤ := by
   rw [map_top, hf.range_eq, restrict_univ]
@@ -1221,10 +1149,7 @@ theorem ofFunction_union_of_top_of_nonempty_inter {s t : Set α}
 #align measure_theory.outer_measure.of_function_union_of_top_of_nonempty_inter MeasureTheory.OuterMeasure.ofFunction_union_of_top_of_nonempty_inter
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_of_function MeasureTheory.OuterMeasure.comap_ofFunctionₓ'. -/
 theorem comap_ofFunction {β} (f : β → α) (h : Monotone m ∨ Surjective f) :
     comap f (OuterMeasure.ofFunction m m_empty) =
@@ -1243,10 +1168,7 @@ theorem comap_ofFunction {β} (f : β → α) (h : Monotone m ∨ Surjective f)
 #align measure_theory.outer_measure.comap_of_function MeasureTheory.OuterMeasure.comap_ofFunction
 
 /- warning: measure_theory.outer_measure.map_of_function_le -> MeasureTheory.OuterMeasure.map_ofFunction_le is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_of_function_le MeasureTheory.OuterMeasure.map_ofFunction_leₓ'. -/
 theorem map_ofFunction_le {β} (f : α → β) :
     map f (OuterMeasure.ofFunction m m_empty) ≤
@@ -1257,10 +1179,7 @@ theorem map_ofFunction_le {β} (f : α → β) :
 #align measure_theory.outer_measure.map_of_function_le MeasureTheory.OuterMeasure.map_ofFunction_le
 
 /- warning: measure_theory.outer_measure.map_of_function -> MeasureTheory.OuterMeasure.map_ofFunction is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_of_function MeasureTheory.OuterMeasure.map_ofFunctionₓ'. -/
 theorem map_ofFunction {β} {f : α → β} (hf : Injective f) :
     map f (OuterMeasure.ofFunction m m_empty) =
@@ -1277,10 +1196,7 @@ theorem map_ofFunction {β} {f : α → β} (hf : Injective f) :
 #align measure_theory.outer_measure.map_of_function MeasureTheory.OuterMeasure.map_ofFunction
 
 /- warning: measure_theory.outer_measure.restrict_of_function -> MeasureTheory.OuterMeasure.restrict_ofFunction is a dubious translation:
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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal 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ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u1} α (fun (t : Set.{u1} α) => m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (Eq.mpr.{0} (Eq.{1} ENNReal ((fun (t : Set.{u1} α) => m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (id.{0} (Eq.{1} Prop (Eq.{1} ENNReal ((fun (t : Set.{u1} α) => m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (EmptyCollection.emptyCollection.{u1} 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α) ENNReal (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) s) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) m (Set.empty_inter.{u1} α s))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))) (of_eq_true (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.trans.{1} Prop (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) True (congrFun.{1, 1} ENNReal (fun (a._@.Init.Prelude._hyg.170 : ENNReal) => Prop) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (congrArg.{1, 1} ENNReal (ENNReal -> Prop) (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (Eq.{1} ENNReal) m_empty) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (eq_self.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_of_function MeasureTheory.OuterMeasure.restrict_ofFunctionₓ'. -/
 theorem restrict_ofFunction (s : Set α) (hm : Monotone m) :
     restrict s (OuterMeasure.ofFunction m m_empty) =
@@ -1291,10 +1207,7 @@ theorem restrict_ofFunction (s : Set α) (hm : Monotone m) :
 #align measure_theory.outer_measure.restrict_of_function MeasureTheory.OuterMeasure.restrict_ofFunction
 
 /- warning: measure_theory.outer_measure.smul_of_function -> MeasureTheory.OuterMeasure.smul_ofFunction is a dubious translation:
-lean 3 declaration is
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ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (SMulWithZero.toSmulZeroClass.{0, 0} ENNReal ENNReal (MulZeroClass.toHasZero.{0} ENNReal (MulZeroOneClass.toMulZeroClass.{0} ENNReal (MonoidWithZero.toMulZeroOneClass.{0} ENNReal (Semiring.toMonoidWithZero.{0} ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (AddZeroClass.toHasZero.{0} ENNReal (AddMonoid.toAddZeroClass.{0} ENNReal (AddCommMonoid.toAddMonoid.{0} ENNReal (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (MulActionWithZero.toSMulWithZero.{0, 0} ENNReal ENNReal (Semiring.toMonoidWithZero.{0} ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (AddZeroClass.toHasZero.{0} ENNReal (AddMonoid.toAddZeroClass.{0} ENNReal (AddCommMonoid.toAddMonoid.{0} ENNReal (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (Module.toMulActionWithZero.{0, 0} ENNReal ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} 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ENNReal.canonicallyOrderedCommSemiring))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) c (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u1} α (SMul.smul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Function.hasSMul.{u1, 0, 0} (Set.{u1} α) ENNReal ENNReal (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) c m) (Eq.mpr.{0} (Eq.{1} ENNReal (SMul.smul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Function.hasSMul.{u1, 0, 0} (Set.{u1} α) ENNReal ENNReal (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal 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-but is expected to have type
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(a._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.11555 : Set.{u1} α) => ENNReal) (fun (i : Set.{u1} α) => Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) c m) (of_eq_true (Eq.{1} ENNReal (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal (MulZeroClass.toZero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))))))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) True (congrFun.{1, 1} ENNReal (fun (a._@.Init.Prelude._hyg.170 : ENNReal) => Prop) (Eq.{1} ENNReal (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal 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ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal (MulZeroClass.toZero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))))))) (congrArg.{1, 1} ENNReal ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c) m_empty) (MulZeroClass.mul_zero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal 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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.smul_of_function MeasureTheory.OuterMeasure.smul_ofFunctionₓ'. -/
 theorem smul_ofFunction {c : ℝ≥0∞} (hc : c ≠ ∞) :
     c • OuterMeasure.ofFunction m m_empty = OuterMeasure.ofFunction (c • m) (by simp [m_empty]) :=
@@ -1389,19 +1302,19 @@ theorem le_boundedBy {μ : OuterMeasure α} : μ ≤ boundedBy m ↔ ∀ s, μ s
   cases' s.eq_empty_or_nonempty with h h <;> simp [h, not_nonempty_empty]
 #align measure_theory.outer_measure.le_bounded_by MeasureTheory.OuterMeasure.le_boundedBy
 
-/- warning: measure_theory.outer_measure.le_bounded_by' -> MeasureTheory.OuterMeasure.le_bounded_by' is a dubious translation:
+/- warning: measure_theory.outer_measure.le_bounded_by' -> MeasureTheory.OuterMeasure.le_boundedBy' is a dubious translation:
 lean 3 declaration is
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {μ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toHasLe.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) μ (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (forall (s : Set.{u1} α), (Set.Nonempty.{u1} α s) -> (LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ s) (m s)))
 but is expected to have type
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {μ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) μ (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (forall (s : Set.{u1} α), (Set.Nonempty.{u1} α s) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α μ s) (m s)))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_bounded_by' MeasureTheory.OuterMeasure.le_bounded_by'ₓ'. -/
-theorem le_bounded_by' {μ : OuterMeasure α} :
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_bounded_by' MeasureTheory.OuterMeasure.le_boundedBy'ₓ'. -/
+theorem le_boundedBy' {μ : OuterMeasure α} :
     μ ≤ boundedBy m ↔ ∀ s : Set α, s.Nonempty → μ s ≤ m s :=
   by
   rw [le_bounded_by, forall_congr']
   intro s
   cases' s.eq_empty_or_nonempty with h h <;> simp [h]
-#align measure_theory.outer_measure.le_bounded_by' MeasureTheory.OuterMeasure.le_bounded_by'
+#align measure_theory.outer_measure.le_bounded_by' MeasureTheory.OuterMeasure.le_boundedBy'
 
 #print MeasureTheory.OuterMeasure.boundedBy_top /-
 @[simp]
@@ -1437,10 +1350,7 @@ theorem smul_boundedBy {c : ℝ≥0∞} (hc : c ≠ ∞) : c • boundedBy m = b
 #align measure_theory.outer_measure.smul_bounded_by MeasureTheory.OuterMeasure.smul_boundedBy
 
 /- warning: measure_theory.outer_measure.comap_bounded_by -> MeasureTheory.OuterMeasure.comap_boundedBy is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_bounded_by MeasureTheory.OuterMeasure.comap_boundedByₓ'. -/
 theorem comap_boundedBy {β} (f : β → α)
     (h : (Monotone fun s : { s : Set α // s.Nonempty } => m s) ∨ Surjective f) :
@@ -1963,10 +1873,7 @@ theorem biInf_apply' {ι} (I : Set ι) (m : ι → OuterMeasure α) {s : Set α}
 #align measure_theory.outer_measure.binfi_apply' MeasureTheory.OuterMeasure.biInf_apply'
 
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(CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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(MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) ι (fun (i : ι) => coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (m i)))
-but is expected to have type
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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_infi_le MeasureTheory.OuterMeasure.map_iInf_leₓ'. -/
 theorem map_iInf_le {ι β} (f : α → β) (m : ι → OuterMeasure α) :
     map f (⨅ i, m i) ≤ ⨅ i, map f (m i) :=
@@ -1974,10 +1881,7 @@ theorem map_iInf_le {ι β} (f : α → β) (m : ι → OuterMeasure α) :
 #align measure_theory.outer_measure.map_infi_le MeasureTheory.OuterMeasure.map_iInf_le
 
 /- warning: measure_theory.outer_measure.comap_infi -> MeasureTheory.OuterMeasure.comap_iInf is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_infi MeasureTheory.OuterMeasure.comap_iInfₓ'. -/
 theorem comap_iInf {ι β} (f : α → β) (m : ι → OuterMeasure β) :
     comap f (⨅ i, m i) = ⨅ i, comap f (m i) :=
@@ -1991,10 +1895,7 @@ theorem comap_iInf {ι β} (f : α → β) (m : ι → OuterMeasure β) :
 #align measure_theory.outer_measure.comap_infi MeasureTheory.OuterMeasure.comap_iInf
 
 /- warning: measure_theory.outer_measure.map_infi -> MeasureTheory.OuterMeasure.map_iInf is a dubious translation:
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(CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal 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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u3} β (Set.range.{u3, succ u1} β α f)) (iInf.{u3, u2} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) 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(MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (m i)))))
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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_infi MeasureTheory.OuterMeasure.map_iInfₓ'. -/
 theorem map_iInf {ι β} {f : α → β} (hf : Injective f) (m : ι → OuterMeasure α) :
     map f (⨅ i, m i) = restrict (range f) (⨅ i, map f (m i)) :=
@@ -2004,10 +1905,7 @@ theorem map_iInf {ι β} {f : α → β} (hf : Injective f) (m : ι → OuterMea
 #align measure_theory.outer_measure.map_infi MeasureTheory.OuterMeasure.map_iInf
 
 /- warning: measure_theory.outer_measure.map_infi_comap -> MeasureTheory.OuterMeasure.map_iInf_comap is a dubious translation:
-lean 3 declaration is
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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u3} α β f) (m i)))) (iInf.{u3, u2} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) ι (fun (i : ι) => coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (coeFn.{max (succ u3) (succ u1), max (succ u3) (succ u1)} (LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal 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ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u3} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u3, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u3} α β f) (m i))))
-but is expected to have type
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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_infi_comap MeasureTheory.OuterMeasure.map_iInf_comapₓ'. -/
 theorem map_iInf_comap {ι β} [Nonempty ι] {f : α → β} (m : ι → OuterMeasure β) :
     map f (⨅ i, comap f (m i)) = ⨅ i, map f (comap f (m i)) :=
@@ -2023,10 +1921,7 @@ theorem map_iInf_comap {ι β} [Nonempty ι] {f : α → β} (m : ι → OuterMe
 #align measure_theory.outer_measure.map_infi_comap MeasureTheory.OuterMeasure.map_iInf_comap
 
 /- warning: measure_theory.outer_measure.map_binfi_comap -> MeasureTheory.OuterMeasure.map_biInf_comap is a dubious translation:
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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u3} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u3, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u3} α β f) (m i))))) (iInf.{u3, succ u2} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) ι (fun (i : ι) => iInf.{u3, 0} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u3} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u3, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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-but is expected to have type
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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_binfi_comap MeasureTheory.OuterMeasure.map_biInf_comapₓ'. -/
 theorem map_biInf_comap {ι β} {I : Set ι} (hI : I.Nonempty) {f : α → β} (m : ι → OuterMeasure β) :
     map f (⨅ i ∈ I, comap f (m i)) = ⨅ i ∈ I, map f (comap f (m i)) :=
@@ -2037,10 +1932,7 @@ theorem map_biInf_comap {ι β} {I : Set ι} (hI : I.Nonempty) {f : α → β} (
 #align measure_theory.outer_measure.map_binfi_comap MeasureTheory.OuterMeasure.map_biInf_comap
 
 /- warning: measure_theory.outer_measure.restrict_infi_restrict -> MeasureTheory.OuterMeasure.restrict_iInf_restrict is a dubious translation:
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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal 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(MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) 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-but is expected to have type
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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_infi_restrict MeasureTheory.OuterMeasure.restrict_iInf_restrictₓ'. -/
 theorem restrict_iInf_restrict {ι} (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨅ i, restrict s (m i)) = restrict s (⨅ i, m i) :=
@@ -2053,10 +1945,7 @@ theorem restrict_iInf_restrict {ι} (s : Set α) (m : ι → OuterMeasure α) :
 #align measure_theory.outer_measure.restrict_infi_restrict MeasureTheory.OuterMeasure.restrict_iInf_restrict
 
 /- warning: measure_theory.outer_measure.restrict_infi -> MeasureTheory.OuterMeasure.restrict_iInf is a dubious translation:
-lean 3 declaration is
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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) 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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))
-but is expected to have type
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(CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal 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(Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) 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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_infi MeasureTheory.OuterMeasure.restrict_iInfₓ'. -/
 theorem restrict_iInf {ι} [Nonempty ι] (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨅ i, m i) = ⨅ i, restrict s (m i) :=
@@ -2064,10 +1953,7 @@ theorem restrict_iInf {ι} [Nonempty ι] (s : Set α) (m : ι → OuterMeasure 
 #align measure_theory.outer_measure.restrict_infi MeasureTheory.OuterMeasure.restrict_iInf
 
 /- warning: measure_theory.outer_measure.restrict_binfi -> MeasureTheory.OuterMeasure.restrict_biInf is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_binfi MeasureTheory.OuterMeasure.restrict_biInfₓ'. -/
 theorem restrict_biInf {ι} {I : Set ι} (hI : I.Nonempty) (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨅ i ∈ I, m i) = ⨅ i ∈ I, restrict s (m i) :=
@@ -2078,10 +1964,7 @@ theorem restrict_biInf {ι} {I : Set ι} (hI : I.Nonempty) (s : Set α) (m : ι
 #align measure_theory.outer_measure.restrict_binfi MeasureTheory.OuterMeasure.restrict_biInf
 
 /- warning: measure_theory.outer_measure.restrict_Inf_eq_Inf_restrict -> MeasureTheory.OuterMeasure.restrict_sInf_eq_sInf_restrict is a dubious translation:
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ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s)) m)))
-but is expected to have type
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(CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (InfSet.sInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m)) (InfSet.sInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Set.image.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} 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ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s)) m)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_Inf_eq_Inf_restrict MeasureTheory.OuterMeasure.restrict_sInf_eq_sInf_restrictₓ'. -/
 /-- This proves that Inf and restrict commute for outer measures, so long as the set of
 outer measures is nonempty. -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/8d33f09cd7089ecf074b4791907588245aec5d1b

@@ -660,7 +660,7 @@ def map {β} (f : α → β) : OuterMeasure α →ₗ[ℝ≥0∞] OuterMeasure 
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u2} β), Eq.{1} ENNReal (coeFn.{succ u2, succ u2} (MeasureTheory.OuterMeasure.{u2} β) (fun (_x : MeasureTheory.OuterMeasure.{u2} β) => (Set.{u2} β) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) m) s) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.preimage.{u1, u2} α β f s))
 but is expected to have type
-  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u2} β), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u2} β (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) m) s) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Set.preimage.{u1, u2} α β f s))
+  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u2} β), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u2} β (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) m) s) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Set.preimage.{u1, u2} α β f s))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_apply MeasureTheory.OuterMeasure.map_applyₓ'. -/
 @[simp]
 theorem map_apply {β} (f : α → β) (m : OuterMeasure α) (s : Set β) : map f m s = m (f ⁻¹' s) :=
@@ -671,7 +671,7 @@ theorem map_apply {β} (f : α → β) (m : OuterMeasure α) (s : Set β) : map
 lean 3 declaration is
   forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u1} α α (id.{succ u1} α)) m) m
 but is expected to have type
-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u1} α α (id.{succ u1} α)) m) m
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u1} α α (id.{succ u1} α)) m) m
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_id MeasureTheory.OuterMeasure.map_idₓ'. -/
 @[simp]
 theorem map_id (m : OuterMeasure α) : map id m = m :=
@@ -682,7 +682,7 @@ theorem map_id (m : OuterMeasure α) : map id m = m :=
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} {γ : Type.{u3}} (f : α -> β) (g : β -> γ) (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u3} (MeasureTheory.OuterMeasure.{u3} γ) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{0, 0, u2, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u3} γ) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} γ) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} γ ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u2, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u3} γ) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} γ) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} γ ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u3} γ)) (LinearMap.hasCoeToFun.{0, 0, u2, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u3} γ) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} γ) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} γ ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u2, u3} β γ g) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) m)) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} γ) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} γ) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} γ ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} γ) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} γ) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} γ ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} γ)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} γ) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} γ) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} γ ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α γ (Function.comp.{succ u1, succ u2, succ u3} α β γ g f)) m)
 but is expected to have type
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ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} γ ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} γ) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} γ) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} γ) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} γ ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α γ (Function.comp.{succ u1, succ u3, succ u2} α β γ g f)) m)
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_map MeasureTheory.OuterMeasure.map_mapₓ'. -/
 @[simp]
 theorem map_map {β γ} (f : α → β) (g : β → γ) (m : OuterMeasure α) :
@@ -694,7 +694,7 @@ theorem map_map {β γ} (f : α → β) (g : β → γ) (m : OuterMeasure α) :
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β), Monotone.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α)) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f))
 but is expected to have type
-  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β), Monotone.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α)) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f))
+  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β), Monotone.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α)) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_mono MeasureTheory.OuterMeasure.map_monoₓ'. -/
 @[mono]
 theorem map_mono {β} (f : α → β) : Monotone (map f) := fun m m' h s => h _
@@ -704,7 +704,7 @@ theorem map_mono {β} (f : α → β) : Monotone (map f) := fun m m' h s => h _
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u1} α) (m' : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u2} (MeasureTheory.OuterMeasure.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (Sup.sup.{u1} (MeasureTheory.OuterMeasure.{u1} α) (SemilatticeSup.toHasSup.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Lattice.toSemilatticeSup.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))))) m m')) (Sup.sup.{u2} (MeasureTheory.OuterMeasure.{u2} β) (SemilatticeSup.toHasSup.{u2} (MeasureTheory.OuterMeasure.{u2} β) (Lattice.toSemilatticeSup.{u2} (MeasureTheory.OuterMeasure.{u2} β) (ConditionallyCompleteLattice.toLattice.{u2} (MeasureTheory.OuterMeasure.{u2} β) (CompleteLattice.toConditionallyCompleteLattice.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} β))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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 but is expected to have type
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(MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} 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(CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) m'))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_sup MeasureTheory.OuterMeasure.map_supₓ'. -/
 @[simp]
 theorem map_sup {β} (f : α → β) (m m' : OuterMeasure α) : map f (m ⊔ m') = map f m ⊔ map f m' :=
@@ -715,7 +715,7 @@ theorem map_sup {β} (f : α → β) (m m' : OuterMeasure α) : map f (m ⊔ m')
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} {ι : Sort.{u3}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u2} (MeasureTheory.OuterMeasure.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (iSup.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => m i))) (iSup.{u2, u3} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instSupSet.{u2} β) ι (fun (i : ι) => coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} 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ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) 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 but is expected to have type
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(CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u3} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (m i)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_supr MeasureTheory.OuterMeasure.map_iSupₓ'. -/
 @[simp]
 theorem map_iSup {β ι} (f : α → β) (m : ι → OuterMeasure α) : map f (⨆ i, m i) = ⨆ i, map f (m i) :=
@@ -817,7 +817,7 @@ def comap {β} (f : α → β) : OuterMeasure β →ₗ[ℝ≥0∞] OuterMeasure
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u2} β) (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) m) s) (coeFn.{succ u2, succ u2} (MeasureTheory.OuterMeasure.{u2} β) (fun (_x : MeasureTheory.OuterMeasure.{u2} β) => (Set.{u2} β) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u2} β) m (Set.image.{u1, u2} α β f s))
 but is expected to have type
-  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u2} β) (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) 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(CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (fun (_x : MeasureTheory.OuterMeasure.{u2} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u2} β) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α 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(MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} 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(CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (fun (_x : MeasureTheory.OuterMeasure.{u2} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u2} β) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) m) s) (MeasureTheory.OuterMeasure.measureOf.{u2} β m (Set.image.{u1, u2} α β f s))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_apply MeasureTheory.OuterMeasure.comap_applyₓ'. -/
 @[simp]
 theorem comap_apply {β} (f : α → β) (m : OuterMeasure β) (s : Set α) : comap f m s = m (f '' s) :=
@@ -828,7 +828,7 @@ theorem comap_apply {β} (f : α → β) (m : OuterMeasure β) (s : Set α) : co
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β), Monotone.{u2, u1} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β)) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α)) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal 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 but is expected to have type
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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal 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(CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (fun (_x : MeasureTheory.OuterMeasure.{u2} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u2} β) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_mono MeasureTheory.OuterMeasure.comap_monoₓ'. -/
 @[mono]
 theorem comap_mono {β} (f : α → β) : Monotone (comap f) := fun m m' h s => h _
@@ -838,7 +838,7 @@ theorem comap_mono {β} (f : α → β) : Monotone (comap f) := fun m m' h s =>
 lean 3 declaration is
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α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (iSup.{u2, u3} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instSupSet.{u2} β) ι (fun (i : ι) => m i))) (iSup.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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 but is expected to have type
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ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u3} α β f) (m i)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_supr MeasureTheory.OuterMeasure.comap_iSupₓ'. -/
 @[simp]
 theorem comap_iSup {β ι} (f : α → β) (m : ι → OuterMeasure β) :
@@ -861,7 +861,7 @@ def restrict (s : Set α) : OuterMeasure α →ₗ[ℝ≥0∞] OuterMeasure α :
 lean 3 declaration is
   forall {α : Type.{u1}} (s : Set.{u1} α) (t : Set.{u1} α) (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) t) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t s))
 but is expected to have type
-  forall {α : Type.{u1}} (s : Set.{u1} α) (t : Set.{u1} α) (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) t) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s))
+  forall {α : Type.{u1}} (s : Set.{u1} α) (t : Set.{u1} α) (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) t) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_apply MeasureTheory.OuterMeasure.restrict_applyₓ'. -/
 @[simp]
 theorem restrict_apply (s t : Set α) (m : OuterMeasure α) : restrict s m t = m (t ∩ s) := by
@@ -872,7 +872,7 @@ theorem restrict_apply (s t : Set α) (m : OuterMeasure α) : restrict s m t = m
 lean 3 declaration is
   forall {α : Type.{u1}} {s : Set.{u1} α} {t : Set.{u1} α}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) -> (forall {m : MeasureTheory.OuterMeasure.{u1} α} {m' : MeasureTheory.OuterMeasure.{u1} α}, (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toHasLe.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) m m') -> (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toHasLe.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α t) m')))
 but is expected to have type
-  forall {α : Type.{u1}} {s : Set.{u1} α} {t : Set.{u1} α}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) -> (forall {m : MeasureTheory.OuterMeasure.{u1} α} {m' : MeasureTheory.OuterMeasure.{u1} α}, (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) m m') -> (LE.le.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (Preorder.toLE.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (PartialOrder.toPreorder.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) (FunLike.coe.{succ u1, 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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α t) m')))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_mono MeasureTheory.OuterMeasure.restrict_monoₓ'. -/
 @[mono]
 theorem restrict_mono {s t : Set α} (h : s ⊆ t) {m m' : OuterMeasure α} (hm : m ≤ m') :
@@ -886,7 +886,7 @@ theorem restrict_mono {s t : Set α} (h : s ⊆ t) {m m' : OuterMeasure α} (hm
 lean 3 declaration is
   forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α (Set.univ.{u1} α)) m) m
 but is expected to have type
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(MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} 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(CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α (Set.univ.{u1} α)) m) m
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} 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(CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α (Set.univ.{u1} α)) m) m
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_univ MeasureTheory.OuterMeasure.restrict_univₓ'. -/
 @[simp]
 theorem restrict_univ (m : OuterMeasure α) : restrict univ m = m :=
@@ -897,7 +897,7 @@ theorem restrict_univ (m : OuterMeasure α) : restrict univ m = m :=
 lean 3 declaration is
   forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) m) (OfNat.ofNat.{u1} (MeasureTheory.OuterMeasure.{u1} α) 0 (OfNat.mk.{u1} (MeasureTheory.OuterMeasure.{u1} α) 0 (Zero.zero.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instZero.{u1} α))))
 but is expected to have type
-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) m) (OfNat.ofNat.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) 0 (Zero.toOfNat0.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (MeasureTheory.OuterMeasure.instZero.{u1} α)))
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) m) (OfNat.ofNat.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) 0 (Zero.toOfNat0.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (MeasureTheory.OuterMeasure.instZero.{u1} α)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_empty MeasureTheory.OuterMeasure.restrict_emptyₓ'. -/
 @[simp]
 theorem restrict_empty (m : OuterMeasure α) : restrict ∅ m = 0 :=
@@ -908,7 +908,7 @@ theorem restrict_empty (m : OuterMeasure α) : restrict ∅ m = 0 :=
 lean 3 declaration is
   forall {α : Type.{u1}} {ι : Sort.{u2}} (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iSup.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => m i))) (iSup.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))
 but is expected to have type
-  forall {α : Type.{u1}} {ι : Sort.{u2}} (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (iSup.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => m i))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal 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ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_supr MeasureTheory.OuterMeasure.restrict_iSupₓ'. -/
 @[simp]
 theorem restrict_iSup {ι} (s : Set α) (m : ι → OuterMeasure α) :
@@ -919,7 +919,7 @@ theorem restrict_iSup {ι} (s : Set α) (m : ι → OuterMeasure α) :
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u2} β), Eq.{succ u2} (MeasureTheory.OuterMeasure.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) m)) (coeFn.{succ u2, succ u2} (LinearMap.{0, 0, u2, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u2, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u2, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u2} β (Set.range.{u2, succ u1} β α f)) m)
 but is expected to have type
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(CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) m)) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{0, 0, u2, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (fun (_x : MeasureTheory.OuterMeasure.{u2} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u2} β) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u2} β (Set.range.{u2, succ u1} β α f)) m)
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_comap MeasureTheory.OuterMeasure.map_comapₓ'. -/
 theorem map_comap {β} (f : α → β) (m : OuterMeasure β) : map f (comap f m) = restrict (range f) m :=
   ext fun s => congr_arg m <| by simp only [image_preimage_eq_inter_range, Subtype.range_coe]
@@ -929,7 +929,7 @@ theorem map_comap {β} (f : α → β) (m : OuterMeasure β) : map f (comap f m)
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u2} β), LE.le.{u2} (MeasureTheory.OuterMeasure.{u2} β) (Preorder.toHasLe.{u2} (MeasureTheory.OuterMeasure.{u2} β) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal 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 but is expected to have type
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(MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) m)) m
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_comap_le MeasureTheory.OuterMeasure.map_comap_leₓ'. -/
 theorem map_comap_le {β} (f : α → β) (m : OuterMeasure β) : map f (comap f m) ≤ m := fun s =>
   m.mono <| image_preimage_subset _ _
@@ -939,7 +939,7 @@ theorem map_comap_le {β} (f : α → β) (m : OuterMeasure β) : map f (comap f
 lean 3 declaration is
   forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toHasLe.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) m
 but is expected to have type
-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), LE.le.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (Preorder.toLE.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (PartialOrder.toPreorder.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) m
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), LE.le.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (Preorder.toLE.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (PartialOrder.toPreorder.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) m
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_le_self MeasureTheory.OuterMeasure.restrict_le_selfₓ'. -/
 theorem restrict_le_self (m : OuterMeasure α) (s : Set α) : restrict s m ≤ m :=
   map_comap_le _ _
@@ -949,7 +949,7 @@ theorem restrict_le_self (m : OuterMeasure α) (s : Set α) : restrict s m ≤ m
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} {ma : MeasureTheory.OuterMeasure.{u1} α} {mb : MeasureTheory.OuterMeasure.{u2} β} {f : α -> β}, Iff (LE.le.{u2} (MeasureTheory.OuterMeasure.{u2} β) (Preorder.toHasLe.{u2} (MeasureTheory.OuterMeasure.{u2} β) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) ma) (coeFn.{succ u2, succ u2} (LinearMap.{0, 0, u2, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u2, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u2, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u2} β (Set.range.{u2, succ u1} β α f)) mb)) (LE.le.{u2} (MeasureTheory.OuterMeasure.{u2} β) (Preorder.toHasLe.{u2} (MeasureTheory.OuterMeasure.{u2} β) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) ma) mb)
 but is expected to have type
-  forall {α : Type.{u1}} {β : Type.{u2}} {ma : MeasureTheory.OuterMeasure.{u1} α} {mb : MeasureTheory.OuterMeasure.{u2} β} {f : α -> β}, Iff (LE.le.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) ma) (Preorder.toLE.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) ma) (PartialOrder.toPreorder.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) ma) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal 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(CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} 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ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (fun (_x : MeasureTheory.OuterMeasure.{u2} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u2} β) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} 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ma) (PartialOrder.toPreorder.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) ma) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal 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(Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) ma) mb)
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_le_restrict_range MeasureTheory.OuterMeasure.map_le_restrict_rangeₓ'. -/
 @[simp]
 theorem map_le_restrict_range {β} {ma : OuterMeasure α} {mb : OuterMeasure β} {f : α → β} :
@@ -961,7 +961,7 @@ theorem map_le_restrict_range {β} {ma : OuterMeasure α} {mb : OuterMeasure β}
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} {f : α -> β}, (Function.Surjective.{succ u1, succ u2} α β f) -> (forall (m : MeasureTheory.OuterMeasure.{u2} β), Eq.{succ u2} (MeasureTheory.OuterMeasure.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) m)) m)
 but is expected to have type
-  forall {α : Type.{u1}} {β : Type.{u2}} {f : α -> β}, (Function.Surjective.{succ u1, succ u2} α β f) -> (forall (m : MeasureTheory.OuterMeasure.{u2} β), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} 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ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) m)) m)
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_comap_of_surjective MeasureTheory.OuterMeasure.map_comap_of_surjectiveₓ'. -/
 theorem map_comap_of_surjective {β} {f : α → β} (hf : Surjective f) (m : OuterMeasure β) :
     map f (comap f m) = m :=
@@ -972,7 +972,7 @@ theorem map_comap_of_surjective {β} {f : α → β} (hf : Surjective f) (m : Ou
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u1} α), LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toHasLe.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) m (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal 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 but is expected to have type
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(MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal 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(CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal 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ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) m))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_comap_map MeasureTheory.OuterMeasure.le_comap_mapₓ'. -/
 theorem le_comap_map {β} (f : α → β) (m : OuterMeasure α) : m ≤ comap f (map f m) := fun s =>
   m.mono <| subset_preimage_image _ _
@@ -982,7 +982,7 @@ theorem le_comap_map {β} (f : α → β) (m : OuterMeasure α) : m ≤ comap f
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} {f : α -> β}, (Function.Injective.{succ u1, succ u2} α β f) -> (forall (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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 but is expected to have type
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(MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal 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 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_map MeasureTheory.OuterMeasure.comap_mapₓ'. -/
 theorem comap_map {β} {f : α → β} (hf : Injective f) (m : OuterMeasure α) : comap f (map f m) = m :=
   ext fun s => by rw [comap_apply, map_apply, hf.preimage_image]
@@ -1014,7 +1014,7 @@ theorem top_apply' (s : Set α) : (⊤ : OuterMeasure α) s = ⨅ h : s = ∅, 0
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (Top.top.{u2} (MeasureTheory.OuterMeasure.{u2} β) (CompleteLattice.toHasTop.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} β)))) (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toHasTop.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α)))
 but is expected to have type
-  forall {α : Type.{u2}} {β : Type.{u1}} (f : α -> β), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} β) => MeasureTheory.OuterMeasure.{u2} α) (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} β) (CompleteLattice.toTop.{u1} (MeasureTheory.OuterMeasure.{u1} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} β)))) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal 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(CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} β) (fun (_x : MeasureTheory.OuterMeasure.{u1} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} β) => MeasureTheory.OuterMeasure.{u2} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} β) (MeasureTheory.OuterMeasure.{u2} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} 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(CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u2, u1} α β f) (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} β) (CompleteLattice.toTop.{u1} (MeasureTheory.OuterMeasure.{u1} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} β)))) (Top.top.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} β) => MeasureTheory.OuterMeasure.{u2} α) (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} β) (CompleteLattice.toTop.{u1} (MeasureTheory.OuterMeasure.{u1} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} β)))) (CompleteLattice.toTop.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} β) => MeasureTheory.OuterMeasure.{u2} α) (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} β) (CompleteLattice.toTop.{u1} (MeasureTheory.OuterMeasure.{u1} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} β)))) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} α)))
+  forall {α : Type.{u2}} {β : Type.{u1}} (f : α -> β), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} β) => MeasureTheory.OuterMeasure.{u2} α) (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} β) (CompleteLattice.toTop.{u1} (MeasureTheory.OuterMeasure.{u1} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} β)))) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal 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ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} β) (fun (_x : MeasureTheory.OuterMeasure.{u1} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} β) => MeasureTheory.OuterMeasure.{u2} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} β) (MeasureTheory.OuterMeasure.{u2} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} 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ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u2, u1} α β f) (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} β) (CompleteLattice.toTop.{u1} (MeasureTheory.OuterMeasure.{u1} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} β)))) (Top.top.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} β) => MeasureTheory.OuterMeasure.{u2} α) (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} β) (CompleteLattice.toTop.{u1} (MeasureTheory.OuterMeasure.{u1} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} β)))) (CompleteLattice.toTop.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} β) => MeasureTheory.OuterMeasure.{u2} α) (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} β) (CompleteLattice.toTop.{u1} (MeasureTheory.OuterMeasure.{u1} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} β)))) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} α)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_top MeasureTheory.OuterMeasure.comap_topₓ'. -/
 @[simp]
 theorem comap_top (f : α → β) : comap f ⊤ = ⊤ :=
@@ -1025,7 +1025,7 @@ theorem comap_top (f : α → β) : comap f ⊤ = ⊤ :=
 lean 3 declaration is
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(MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toHasTop.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α)))) (coeFn.{succ u2, succ u2} (LinearMap.{0, 0, u2, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u2, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u2, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} 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 but is expected to have type
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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal 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(CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} 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(CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} 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+  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toTop.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal 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(CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} 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(CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (fun (_x : MeasureTheory.OuterMeasure.{u2} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u2} β) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u2} β (Set.range.{u2, succ u1} β α f)) (Top.top.{u2} (MeasureTheory.OuterMeasure.{u2} β) (CompleteLattice.toTop.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} β))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_top MeasureTheory.OuterMeasure.map_topₓ'. -/
 theorem map_top (f : α → β) : map f ⊤ = restrict (range f) ⊤ :=
   ext fun s => by
@@ -1037,7 +1037,7 @@ theorem map_top (f : α → β) : map f ⊤ = restrict (range f) ⊤ :=
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β), (Function.Surjective.{succ u1, succ u2} α β f) -> (Eq.{succ u2} (MeasureTheory.OuterMeasure.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toHasTop.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α)))) (Top.top.{u2} (MeasureTheory.OuterMeasure.{u2} β) (CompleteLattice.toHasTop.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} β))))
 but is expected to have type
-  forall {α : Type.{u2}} {β : Type.{u1}} (f : α -> β), (Function.Surjective.{succ u2, succ u1} α β f) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u2} α) => MeasureTheory.OuterMeasure.{u1} β) (Top.top.{u2} (MeasureTheory.OuterMeasure.{u2} α) (CompleteLattice.toTop.{u2} (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} α)))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.{u1} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} α) (fun (_x : MeasureTheory.OuterMeasure.{u2} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u2} α) => MeasureTheory.OuterMeasure.{u1} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.{u1} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u2, u1} α β f) (Top.top.{u2} (MeasureTheory.OuterMeasure.{u2} α) (CompleteLattice.toTop.{u2} (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} α)))) (Top.top.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u2} α) => MeasureTheory.OuterMeasure.{u1} β) (Top.top.{u2} (MeasureTheory.OuterMeasure.{u2} α) (CompleteLattice.toTop.{u2} (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} α)))) (CompleteLattice.toTop.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u2} α) => MeasureTheory.OuterMeasure.{u1} β) (Top.top.{u2} (MeasureTheory.OuterMeasure.{u2} α) (CompleteLattice.toTop.{u2} (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} α)))) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} β))))
+  forall {α : Type.{u2}} {β : Type.{u1}} (f : α -> β), (Function.Surjective.{succ u2, succ u1} α β f) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u2} α) => MeasureTheory.OuterMeasure.{u1} β) (Top.top.{u2} (MeasureTheory.OuterMeasure.{u2} α) (CompleteLattice.toTop.{u2} (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} α)))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.{u1} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} α) (fun (_x : MeasureTheory.OuterMeasure.{u2} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u2} α) => MeasureTheory.OuterMeasure.{u1} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.{u1} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u2, u1} α β f) (Top.top.{u2} (MeasureTheory.OuterMeasure.{u2} α) (CompleteLattice.toTop.{u2} (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} α)))) (Top.top.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u2} α) => MeasureTheory.OuterMeasure.{u1} β) (Top.top.{u2} (MeasureTheory.OuterMeasure.{u2} α) (CompleteLattice.toTop.{u2} (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} α)))) (CompleteLattice.toTop.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u2} α) => MeasureTheory.OuterMeasure.{u1} β) (Top.top.{u2} (MeasureTheory.OuterMeasure.{u2} α) (CompleteLattice.toTop.{u2} (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} α)))) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} β))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_top_of_surjective MeasureTheory.OuterMeasure.map_top_of_surjectiveₓ'. -/
 theorem map_top_of_surjective (f : α → β) (hf : Surjective f) : map f ⊤ = ⊤ := by
   rw [map_top, hf.range_eq, restrict_univ]
@@ -1224,7 +1224,7 @@ theorem ofFunction_union_of_top_of_nonempty_inter {s t : Set α}
 lean 3 declaration is
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} {β : Type.{u2}} (f : β -> α), (Or (Monotone.{u1, 0} (Set.{u1} α) ENNReal (PartialOrder.toPreorder.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α))))))) (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder)))) m) (Function.Surjective.{succ u2, succ u1} β α f)) -> (Eq.{succ u2} (MeasureTheory.OuterMeasure.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u2, u1} β α f) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u2} β (fun (s : Set.{u2} β) => m (Set.image.{u2, u1} β α f s)) (Eq.mpr.{0} (Eq.{1} ENNReal (m (Set.image.{u2, u1} β α f (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.hasEmptyc.{u2} β)))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (id_tag Tactic.IdTag.rw (Eq.{1} Prop (Eq.{1} ENNReal (m (Set.image.{u2, u1} β α f (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.hasEmptyc.{u2} β)))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))) (Eq.ndrec.{0, succ u1} (Set.{u1} α) (Set.image.{u2, u1} β α f (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.hasEmptyc.{u2} β))) (fun (_a : Set.{u1} α) => Eq.{1} Prop (Eq.{1} ENNReal (m (Set.image.{u2, u1} β α f (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.hasEmptyc.{u2} β)))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (Eq.{1} ENNReal (m _a) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))) (rfl.{1} Prop (Eq.{1} ENNReal (m (Set.image.{u2, u1} β α f (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.hasEmptyc.{u2} β)))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) (Set.image_empty.{u2, u1} β α f))) m_empty)))
 but is expected to have type
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} {β : Type.{u2}} (f : β -> α), (Or (Monotone.{u1, 0} (Set.{u1} α) ENNReal (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) m) (Function.Surjective.{succ u2, succ u1} β α f)) -> (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u2, u1} β α f) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u2} β (fun (s : Set.{u2} β) => m (Set.image.{u2, u1} β α f s)) (Eq.mpr.{0} (Eq.{1} ENNReal ((fun (s : Set.{u2} β) => m (Set.image.{u2, u1} β α f s)) (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.instEmptyCollectionSet.{u2} β))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (id.{0} (Eq.{1} Prop (Eq.{1} ENNReal ((fun (s : Set.{u2} β) => m (Set.image.{u2, u1} β α f s)) (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.instEmptyCollectionSet.{u2} β))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))) (congrFun.{1, 1} ENNReal (fun (a._@.Init.Prelude._hyg.170 : ENNReal) => Prop) (Eq.{1} ENNReal (m (Set.image.{u2, u1} β α f (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.instEmptyCollectionSet.{u2} β))))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (congrArg.{1, 1} ENNReal (ENNReal -> Prop) (m (Set.image.{u2, u1} β α f (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.instEmptyCollectionSet.{u2} β)))) (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (Eq.{1} ENNReal) (congrArg.{succ u1, 1} (Set.{u1} α) ENNReal (Set.image.{u2, u1} β α f (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.instEmptyCollectionSet.{u2} β))) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) m (Set.image_empty.{u2, u1} β α f))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))) (of_eq_true (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.trans.{1} Prop (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) True (congrFun.{1, 1} ENNReal (fun (a._@.Init.Prelude._hyg.170 : ENNReal) => Prop) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (congrArg.{1, 1} ENNReal (ENNReal -> Prop) (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (Eq.{1} ENNReal) m_empty) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (eq_self.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))))))))
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} {β : Type.{u2}} (f : β -> α), (Or (Monotone.{u1, 0} (Set.{u1} α) ENNReal (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) m) (Function.Surjective.{succ u2, succ u1} β α f)) -> (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u2, u1} β α f) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u2} β (fun (s : Set.{u2} β) => m (Set.image.{u2, u1} β α f s)) (Eq.mpr.{0} (Eq.{1} ENNReal ((fun (s : Set.{u2} β) => m (Set.image.{u2, u1} β α f s)) (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.instEmptyCollectionSet.{u2} β))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (id.{0} (Eq.{1} Prop (Eq.{1} ENNReal ((fun (s : Set.{u2} β) => m (Set.image.{u2, u1} β α f s)) (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.instEmptyCollectionSet.{u2} β))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))) (congrFun.{1, 1} ENNReal (fun (a._@.Init.Prelude._hyg.170 : ENNReal) => Prop) (Eq.{1} ENNReal (m (Set.image.{u2, u1} β α f (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.instEmptyCollectionSet.{u2} β))))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (congrArg.{1, 1} ENNReal (ENNReal -> Prop) (m (Set.image.{u2, u1} β α f (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.instEmptyCollectionSet.{u2} β)))) (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (Eq.{1} ENNReal) (congrArg.{succ u1, 1} (Set.{u1} α) ENNReal (Set.image.{u2, u1} β α f (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.instEmptyCollectionSet.{u2} β))) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) m (Set.image_empty.{u2, u1} β α f))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))) (of_eq_true (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.trans.{1} Prop (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) True (congrFun.{1, 1} ENNReal (fun (a._@.Init.Prelude._hyg.170 : ENNReal) => Prop) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (congrArg.{1, 1} ENNReal (ENNReal -> Prop) (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (Eq.{1} ENNReal) m_empty) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (eq_self.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))))))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_of_function MeasureTheory.OuterMeasure.comap_ofFunctionₓ'. -/
 theorem comap_ofFunction {β} (f : β → α) (h : Monotone m ∨ Surjective f) :
     comap f (OuterMeasure.ofFunction m m_empty) =
@@ -1246,7 +1246,7 @@ theorem comap_ofFunction {β} (f : β → α) (h : Monotone m ∨ Surjective f)
 lean 3 declaration is
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} {β : Type.{u2}} (f : α -> β), LE.le.{u2} (MeasureTheory.OuterMeasure.{u2} β) (Preorder.toHasLe.{u2} (MeasureTheory.OuterMeasure.{u2} β) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u2} β (fun (s : Set.{u2} β) => m (Set.preimage.{u1, u2} α β f s)) m_empty)
 but is expected to have type
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} {β : Type.{u2}} (f : α -> β), LE.le.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (Preorder.toLE.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (PartialOrder.toPreorder.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u2} β (fun (s : Set.{u2} β) => m (Set.preimage.{u1, u2} α β f s)) m_empty)
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} {β : Type.{u2}} (f : α -> β), LE.le.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (Preorder.toLE.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (PartialOrder.toPreorder.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u2} β (fun (s : Set.{u2} β) => m (Set.preimage.{u1, u2} α β f s)) m_empty)
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_of_function_le MeasureTheory.OuterMeasure.map_ofFunction_leₓ'. -/
 theorem map_ofFunction_le {β} (f : α → β) :
     map f (OuterMeasure.ofFunction m m_empty) ≤
@@ -1260,7 +1260,7 @@ theorem map_ofFunction_le {β} (f : α → β) :
 lean 3 declaration is
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} {β : Type.{u2}} {f : α -> β}, (Function.Injective.{succ u1, succ u2} α β f) -> (Eq.{succ u2} (MeasureTheory.OuterMeasure.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u2} β (fun (s : Set.{u2} β) => m (Set.preimage.{u1, u2} α β f s)) m_empty))
 but is expected to have type
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} {β : Type.{u2}} {f : α -> β}, (Function.Injective.{succ u1, succ u2} α β f) -> (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u2} β (fun (s : Set.{u2} β) => m (Set.preimage.{u1, u2} α β f s)) m_empty))
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} {β : Type.{u2}} {f : α -> β}, (Function.Injective.{succ u1, succ u2} α β f) -> (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u2} β (fun (s : Set.{u2} β) => m (Set.preimage.{u1, u2} α β f s)) m_empty))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_of_function MeasureTheory.OuterMeasure.map_ofFunctionₓ'. -/
 theorem map_ofFunction {β} {f : α → β} (hf : Injective f) :
     map f (OuterMeasure.ofFunction m m_empty) =
@@ -1280,7 +1280,7 @@ theorem map_ofFunction {β} {f : α → β} (hf : Injective f) :
 lean 3 declaration is
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (s : Set.{u1} α), (Monotone.{u1, 0} (Set.{u1} α) ENNReal (PartialOrder.toPreorder.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α))))))) (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder)))) m) -> (Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u1} α (fun (t : Set.{u1} α) => m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t s)) (Eq.mpr.{0} (Eq.{1} ENNReal (m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) s)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (id_tag Tactic.IdTag.rw (Eq.{1} Prop (Eq.{1} ENNReal (m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) s)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))) (Eq.ndrec.{0, succ u1} (Set.{u1} α) (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) s) (fun (_a : Set.{u1} α) => Eq.{1} Prop (Eq.{1} ENNReal (m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) s)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (Eq.{1} ENNReal (m _a) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))) (rfl.{1} Prop (Eq.{1} ENNReal (m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) s)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) (Set.empty_inter.{u1} α s))) m_empty)))
 but is expected to have type
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (s : Set.{u1} α), (Monotone.{u1, 0} (Set.{u1} α) ENNReal (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) m) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u1} α (fun (t : Set.{u1} α) => m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (Eq.mpr.{0} (Eq.{1} ENNReal ((fun (t : Set.{u1} α) => m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (id.{0} (Eq.{1} Prop (Eq.{1} ENNReal ((fun (t : Set.{u1} α) => m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))) (congrFun.{1, 1} ENNReal (fun (a._@.Init.Prelude._hyg.170 : ENNReal) => Prop) (Eq.{1} ENNReal (m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) s))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (congrArg.{1, 1} ENNReal (ENNReal -> Prop) (m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) s)) (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (Eq.{1} ENNReal) (congrArg.{succ u1, 1} (Set.{u1} α) ENNReal (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) s) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) m (Set.empty_inter.{u1} α s))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))) (of_eq_true (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.trans.{1} Prop (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) True (congrFun.{1, 1} ENNReal (fun (a._@.Init.Prelude._hyg.170 : ENNReal) => Prop) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (congrArg.{1, 1} ENNReal (ENNReal -> Prop) (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (Eq.{1} ENNReal) m_empty) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (eq_self.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))))))))
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (s : Set.{u1} α), (Monotone.{u1, 0} (Set.{u1} α) ENNReal (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) m) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u1} α (fun (t : Set.{u1} α) => m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (Eq.mpr.{0} (Eq.{1} ENNReal ((fun (t : Set.{u1} α) => m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (id.{0} (Eq.{1} Prop (Eq.{1} ENNReal ((fun (t : Set.{u1} α) => m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))) (congrFun.{1, 1} ENNReal (fun (a._@.Init.Prelude._hyg.170 : ENNReal) => Prop) (Eq.{1} ENNReal (m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) s))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (congrArg.{1, 1} ENNReal (ENNReal -> Prop) (m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) s)) (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (Eq.{1} ENNReal) (congrArg.{succ u1, 1} (Set.{u1} α) ENNReal (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) s) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) m (Set.empty_inter.{u1} α s))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))) (of_eq_true (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.trans.{1} Prop (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) True (congrFun.{1, 1} ENNReal (fun (a._@.Init.Prelude._hyg.170 : ENNReal) => Prop) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (congrArg.{1, 1} ENNReal (ENNReal -> Prop) (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (Eq.{1} ENNReal) m_empty) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (eq_self.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))))))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_of_function MeasureTheory.OuterMeasure.restrict_ofFunctionₓ'. -/
 theorem restrict_ofFunction (s : Set α) (hm : Monotone m) :
     restrict s (OuterMeasure.ofFunction m m_empty) =
@@ -1440,7 +1440,7 @@ theorem smul_boundedBy {c : ℝ≥0∞} (hc : c ≠ ∞) : c • boundedBy m = b
 lean 3 declaration is
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {β : Type.{u2}} (f : β -> α), (Or (Monotone.{u1, 0} (Subtype.{succ u1} (Set.{u1} α) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s)) ENNReal (Subtype.preorder.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α))))))) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s)) (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder)))) (fun (s : Subtype.{succ u1} (Set.{u1} α) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s)) => m ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Subtype.{succ u1} (Set.{u1} α) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s)) (Set.{u1} α) (HasLiftT.mk.{succ u1, succ u1} (Subtype.{succ u1} (Set.{u1} α) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s)) (Set.{u1} α) (CoeTCₓ.coe.{succ u1, succ u1} (Subtype.{succ u1} (Set.{u1} α) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s)) (Set.{u1} α) (coeBase.{succ u1, succ u1} (Subtype.{succ u1} (Set.{u1} α) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s)) (Set.{u1} α) (coeSubtype.{succ u1} (Set.{u1} α) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s))))) s))) (Function.Surjective.{succ u2, succ u1} β α f)) -> (Eq.{succ u2} (MeasureTheory.OuterMeasure.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u2, u1} β α f) (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (MeasureTheory.OuterMeasure.boundedBy.{u2} β (fun (s : Set.{u2} β) => m (Set.image.{u2, u1} β α f s))))
 but is expected to have type
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {β : Type.{u2}} (f : β -> α), (Or (Monotone.{u1, 0} (Subtype.{succ u1} (Set.{u1} α) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s)) ENNReal (Subtype.preorder.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s)) (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (fun (s : Subtype.{succ u1} (Set.{u1} α) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s)) => m (Subtype.val.{succ u1} (Set.{u1} α) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s) s))) (Function.Surjective.{succ u2, succ u1} β α f)) -> (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u2, u1} β α f) (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (MeasureTheory.OuterMeasure.boundedBy.{u2} β (fun (s : Set.{u2} β) => m (Set.image.{u2, u1} β α f s))))
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {β : Type.{u2}} (f : β -> α), (Or (Monotone.{u1, 0} (Subtype.{succ u1} (Set.{u1} α) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s)) ENNReal (Subtype.preorder.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s)) (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (fun (s : Subtype.{succ u1} (Set.{u1} α) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s)) => m (Subtype.val.{succ u1} (Set.{u1} α) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s) s))) (Function.Surjective.{succ u2, succ u1} β α f)) -> (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u2, u1} β α f) (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (MeasureTheory.OuterMeasure.boundedBy.{u2} β (fun (s : Set.{u2} β) => m (Set.image.{u2, u1} β α f s))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_bounded_by MeasureTheory.OuterMeasure.comap_boundedByₓ'. -/
 theorem comap_boundedBy {β} (f : β → α)
     (h : (Monotone fun s : { s : Set α // s.Nonempty } => m s) ∨ Surjective f) :
@@ -1966,7 +1966,7 @@ theorem biInf_apply' {ι} (I : Set ι) (m : ι → OuterMeasure α) {s : Set α}
 lean 3 declaration is
   forall {α : Type.{u1}} {ι : Sort.{u2}} {β : Type.{u3}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), LE.le.{u3} (MeasureTheory.OuterMeasure.{u3} β) (Preorder.toHasLe.{u3} (MeasureTheory.OuterMeasure.{u3} β) (PartialOrder.toPreorder.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u3} β))) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (iInf.{u3, u2} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) ι (fun (i : ι) => coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) 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 but is expected to have type
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(MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (m i)))
+  forall {α : Type.{u1}} {ι : Sort.{u3}} {β : Type.{u2}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), LE.le.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (iInf.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (Preorder.toLE.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (iInf.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (PartialOrder.toPreorder.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (iInf.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (iInf.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (iInf.{u2, u3} (MeasureTheory.OuterMeasure.{u2} β) (ConditionallyCompleteLattice.toInfSet.{u2} (MeasureTheory.OuterMeasure.{u2} β) (CompleteLattice.toConditionallyCompleteLattice.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} β))) ι (fun (i : ι) => FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (m i)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_infi_le MeasureTheory.OuterMeasure.map_iInf_leₓ'. -/
 theorem map_iInf_le {ι β} (f : α → β) (m : ι → OuterMeasure α) :
     map f (⨅ i, m i) ≤ ⨅ i, map f (m i) :=
@@ -1977,7 +1977,7 @@ theorem map_iInf_le {ι β} (f : α → β) (m : ι → OuterMeasure α) :
 lean 3 declaration is
   forall {α : Type.{u1}} {ι : Sort.{u2}} {β : Type.{u3}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u3} β)), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{max (succ u3) (succ u1), max (succ u3) (succ u1)} (LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u3} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u3, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal 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 but is expected to have type
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(MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (m i)))
+  forall {α : Type.{u1}} {ι : Sort.{u3}} {β : Type.{u2}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u2} β)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u2} β) => MeasureTheory.OuterMeasure.{u1} α) (iInf.{u2, u3} (MeasureTheory.OuterMeasure.{u2} β) (ConditionallyCompleteLattice.toInfSet.{u2} (MeasureTheory.OuterMeasure.{u2} β) (CompleteLattice.toConditionallyCompleteLattice.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} β))) ι (fun (i : ι) => m i))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (fun (_x : MeasureTheory.OuterMeasure.{u2} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u2} β) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (iInf.{u2, u3} (MeasureTheory.OuterMeasure.{u2} β) (ConditionallyCompleteLattice.toInfSet.{u2} (MeasureTheory.OuterMeasure.{u2} β) (CompleteLattice.toConditionallyCompleteLattice.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} β))) ι (fun (i : ι) => m i))) (iInf.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (fun (_x : MeasureTheory.OuterMeasure.{u2} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u2} β) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (m i)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_infi MeasureTheory.OuterMeasure.comap_iInfₓ'. -/
 theorem comap_iInf {ι β} (f : α → β) (m : ι → OuterMeasure β) :
     comap f (⨅ i, m i) = ⨅ i, comap f (m i) :=
@@ -1994,7 +1994,7 @@ theorem comap_iInf {ι β} (f : α → β) (m : ι → OuterMeasure β) :
 lean 3 declaration is
   forall {α : Type.{u1}} {ι : Sort.{u2}} {β : Type.{u3}} {f : α -> β}, (Function.Injective.{succ u1, succ u3} α β f) -> (forall (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u3} (MeasureTheory.OuterMeasure.{u3} β) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (coeFn.{succ u3, succ u3} (LinearMap.{0, 0, u3, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u3, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u3} β) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u3, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u3} β (Set.range.{u3, succ u1} β α f)) (iInf.{u3, u2} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) ι (fun (i : ι) => coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (m i)))))
 but is expected to have type
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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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u2, succ u2} (LinearMap.{0, 0, u2, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal 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(Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal 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f)) (iInf.{u2, u3} (MeasureTheory.OuterMeasure.{u2} β) (ConditionallyCompleteLattice.toInfSet.{u2} (MeasureTheory.OuterMeasure.{u2} β) (CompleteLattice.toConditionallyCompleteLattice.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} β))) ι (fun (i : ι) => FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal 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ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (m i)))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_infi MeasureTheory.OuterMeasure.map_iInfₓ'. -/
 theorem map_iInf {ι β} {f : α → β} (hf : Injective f) (m : ι → OuterMeasure α) :
     map f (⨅ i, m i) = restrict (range f) (⨅ i, map f (m i)) :=
@@ -2007,7 +2007,7 @@ theorem map_iInf {ι β} {f : α → β} (hf : Injective f) (m : ι → OuterMea
 lean 3 declaration is
   forall {α : Type.{u1}} {ι : Sort.{u2}} {β : Type.{u3}} [_inst_1 : Nonempty.{u2} ι] {f : α -> β} (m : ι -> (MeasureTheory.OuterMeasure.{u3} β)), Eq.{succ u3} (MeasureTheory.OuterMeasure.{u3} β) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) 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ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => coeFn.{max (succ u3) (succ u1), max (succ u3) (succ u1)} (LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u3} α β f) (m i)))) (iInf.{u3, u2} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (coeFn.{max (succ u3) (succ u1), max (succ u3) (succ u1)} (LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal 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(MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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 but is expected to have type
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ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (m i))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_infi_comap MeasureTheory.OuterMeasure.map_iInf_comapₓ'. -/
 theorem map_iInf_comap {ι β} [Nonempty ι] {f : α → β} (m : ι → OuterMeasure β) :
     map f (⨅ i, comap f (m i)) = ⨅ i, map f (comap f (m i)) :=
@@ -2026,7 +2026,7 @@ theorem map_iInf_comap {ι β} [Nonempty ι] {f : α → β} (m : ι → OuterMe
 lean 3 declaration is
   forall {α : Type.{u1}} {ι : Type.{u2}} {β : Type.{u3}} {I : Set.{u2} ι}, (Set.Nonempty.{u2} ι I) -> (forall {f : α -> β} (m : ι -> (MeasureTheory.OuterMeasure.{u3} β)), Eq.{succ u3} (MeasureTheory.OuterMeasure.{u3} β) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => coeFn.{max (succ u3) (succ u1), max (succ u3) (succ u1)} (LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u3} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u3, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u3} α β f) (m i))))) (iInf.{u3, succ u2} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) ι (fun (i : ι) => iInf.{u3, 0} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u3} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u3, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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 but is expected to have type
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(h._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.16749 : Membership.mem.{u3, u3} ι (Set.{u3} ι) (Set.instMembershipSet.{u3} ι) i I) => FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal 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(MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} 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 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_binfi_comap MeasureTheory.OuterMeasure.map_biInf_comapₓ'. -/
 theorem map_biInf_comap {ι β} {I : Set ι} (hI : I.Nonempty) {f : α → β} (m : ι → OuterMeasure β) :
     map f (⨅ i ∈ I, comap f (m i)) = ⨅ i ∈ I, map f (comap f (m i)) :=
@@ -2040,7 +2040,7 @@ theorem map_biInf_comap {ι β} {I : Set ι} (hI : I.Nonempty) {f : α → β} (
 lean 3 declaration is
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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i)))
 but is expected to have type
-  forall {α : Type.{u1}} {ι : Sort.{u2}} (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal 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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_infi_restrict MeasureTheory.OuterMeasure.restrict_iInf_restrictₓ'. -/
 theorem restrict_iInf_restrict {ι} (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨅ i, restrict s (m i)) = restrict s (⨅ i, m i) :=
@@ -2056,7 +2056,7 @@ theorem restrict_iInf_restrict {ι} (s : Set α) (m : ι → OuterMeasure α) :
 lean 3 declaration is
   forall {α : Type.{u1}} {ι : Sort.{u2}} [_inst_1 : Nonempty.{u2} ι] (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))
 but is expected to have type
-  forall {α : Type.{u1}} {ι : Sort.{u2}} [_inst_1 : Nonempty.{u2} ι] (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal 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(Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal 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+  forall {α : Type.{u1}} {ι : Sort.{u2}} [_inst_1 : Nonempty.{u2} ι] (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_infi MeasureTheory.OuterMeasure.restrict_iInfₓ'. -/
 theorem restrict_iInf {ι} [Nonempty ι] (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨅ i, m i) = ⨅ i, restrict s (m i) :=
@@ -2067,7 +2067,7 @@ theorem restrict_iInf {ι} [Nonempty ι] (s : Set α) (m : ι → OuterMeasure 
 lean 3 declaration is
   forall {α : Type.{u1}} {ι : Type.{u2}} {I : Set.{u2} ι}, (Set.Nonempty.{u2} ι I) -> (forall (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => m i)))) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))))
 but is expected to have type
-  forall {α : Type.{u1}} {ι : Type.{u2}} {I : Set.{u2} ι}, (Set.Nonempty.{u2} ι I) -> (forall (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (h._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.17249 : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => m i)))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => m i)))) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))))
+  forall {α : Type.{u1}} {ι : Type.{u2}} {I : Set.{u2} ι}, (Set.Nonempty.{u2} ι I) -> (forall (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (h._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.17249 : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => m i)))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal 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ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => m i)))) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_binfi MeasureTheory.OuterMeasure.restrict_biInfₓ'. -/
 theorem restrict_biInf {ι} {I : Set ι} (hI : I.Nonempty) (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨅ i ∈ I, m i) = ⨅ i ∈ I, restrict s (m i) :=
@@ -2081,7 +2081,7 @@ theorem restrict_biInf {ι} {I : Set ι} (hI : I.Nonempty) (s : Set α) (m : ι
 lean 3 declaration is
   forall {α : Type.{u1}} (m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) {s : Set.{u1} α}, (Set.Nonempty.{u1} (MeasureTheory.OuterMeasure.{u1} α) m) -> (Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (InfSet.sInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m)) (InfSet.sInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Set.image.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s)) m)))
 but is expected to have type
-  forall {α : Type.{u1}} (m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) {s : Set.{u1} α}, (Set.Nonempty.{u1} (MeasureTheory.OuterMeasure.{u1} α) m) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (InfSet.sInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (InfSet.sInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m)) (InfSet.sInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Set.image.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s)) m)))
+  forall {α : Type.{u1}} (m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) {s : Set.{u1} α}, (Set.Nonempty.{u1} (MeasureTheory.OuterMeasure.{u1} α) m) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (InfSet.sInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (InfSet.sInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m)) (InfSet.sInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Set.image.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s)) m)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_Inf_eq_Inf_restrict MeasureTheory.OuterMeasure.restrict_sInf_eq_sInf_restrictₓ'. -/
 /-- This proves that Inf and restrict commute for outer measures, so long as the set of
 outer measures is nonempty. -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/75e7fca56381d056096ce5d05e938f63a6567828

@@ -1294,7 +1294,7 @@ theorem restrict_ofFunction (s : Set α) (hm : Monotone m) :
 lean 3 declaration is
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} {c : ENNReal}, (Ne.{1} ENNReal c (Top.top.{0} ENNReal (CompleteLattice.toHasTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder)))) -> (Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (SMul.smul.{0, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.hasSmul.{u1, 0} α ENNReal (SMulZeroClass.toHasSmul.{0, 0} ENNReal ENNReal (AddZeroClass.toHasZero.{0} ENNReal (AddMonoid.toAddZeroClass.{0} ENNReal (AddCommMonoid.toAddMonoid.{0} ENNReal (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (SMulWithZero.toSmulZeroClass.{0, 0} ENNReal ENNReal (MulZeroClass.toHasZero.{0} ENNReal (MulZeroOneClass.toMulZeroClass.{0} ENNReal (MonoidWithZero.toMulZeroOneClass.{0} ENNReal (Semiring.toMonoidWithZero.{0} ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (AddZeroClass.toHasZero.{0} ENNReal (AddMonoid.toAddZeroClass.{0} ENNReal (AddCommMonoid.toAddMonoid.{0} ENNReal (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (MulActionWithZero.toSMulWithZero.{0, 0} ENNReal ENNReal (Semiring.toMonoidWithZero.{0} ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (AddZeroClass.toHasZero.{0} ENNReal (AddMonoid.toAddZeroClass.{0} ENNReal (AddCommMonoid.toAddMonoid.{0} ENNReal (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (Module.toMulActionWithZero.{0, 0} ENNReal ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (Algebra.toModule.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) c (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u1} α (SMul.smul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Function.hasSMul.{u1, 0, 0} (Set.{u1} α) ENNReal ENNReal (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) c m) (Eq.mpr.{0} (Eq.{1} ENNReal (SMul.smul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Function.hasSMul.{u1, 0, 0} (Set.{u1} α) ENNReal ENNReal (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) c m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) True (id_tag Tactic.IdTag.simp (Eq.{1} Prop (Eq.{1} ENNReal (SMul.smul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Function.hasSMul.{u1, 0, 0} (Set.{u1} α) ENNReal ENNReal (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) c m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) True) (Eq.trans.{1} Prop (Eq.{1} ENNReal (SMul.smul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Function.hasSMul.{u1, 0, 0} (Set.{u1} α) ENNReal ENNReal (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) c m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) True ((fun (a : ENNReal) (a_1 : ENNReal) (e_1 : Eq.{1} ENNReal a a_1) (ᾰ : ENNReal) (ᾰ_1 : ENNReal) (e_2 : Eq.{1} ENNReal ᾰ ᾰ_1) => congr.{1, 1} ENNReal Prop (Eq.{1} ENNReal a) (Eq.{1} ENNReal a_1) ᾰ ᾰ_1 (congr_arg.{1, 1} ENNReal (ENNReal -> Prop) a a_1 (Eq.{1} ENNReal) e_1) e_2) (SMul.smul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Function.hasSMul.{u1, 0, 0} (Set.{u1} α) ENNReal ENNReal (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) c m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))) (Eq.trans.{1} ((fun (i : Set.{u1} α) => ENNReal) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (SMul.smul.{0, u1} ENNReal (forall (i : Set.{u1} α), (fun (i : Set.{u1} α) => ENNReal) i) (Pi.instSMul.{u1, 0, 0} (Set.{u1} α) ENNReal (fun (i : Set.{u1} α) => (fun (i : Set.{u1} α) => ENNReal) i) (fun (i : Set.{u1} α) => (fun (i : Set.{u1} α) => Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) i)) c m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (HMul.hMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))) c (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal (MulZeroClass.toHasZero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))))) (Eq.trans.{1} ((fun (i : Set.{u1} α) => ENNReal) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (SMul.smul.{0, u1} ENNReal (forall (i : Set.{u1} α), (fun (i : Set.{u1} α) => ENNReal) i) (Pi.instSMul.{u1, 0, 0} (Set.{u1} α) ENNReal (fun (i : Set.{u1} α) => (fun (i : Set.{u1} α) => ENNReal) i) (fun (i : Set.{u1} α) => (fun (i : Set.{u1} α) => Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) i)) c m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (SMul.smul.{0, 0} ENNReal ENNReal (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) c (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (HMul.hMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))) c (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (Eq.trans.{1} ((fun (i : Set.{u1} α) => ENNReal) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (SMul.smul.{0, u1} ENNReal (forall (i : Set.{u1} α), (fun (i : Set.{u1} α) => ENNReal) i) (Pi.instSMul.{u1, 0, 0} (Set.{u1} α) ENNReal (fun (i : Set.{u1} α) => (fun (i : Set.{u1} α) => ENNReal) i) (fun (i : Set.{u1} α) => (fun (i : Set.{u1} α) => Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) i)) c m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (SMul.smul.{0, 0} ENNReal ((fun (i : Set.{u1} α) => ENNReal) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) ((fun (i : Set.{u1} α) => Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) c (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)))) (SMul.smul.{0, 0} ENNReal ENNReal (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) c (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (Pi.smul_apply.{u1, 0, 0} (Set.{u1} α) ENNReal (fun (i : Set.{u1} α) => ENNReal) (fun (i : Set.{u1} α) => Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) c m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) ((fun [self : SMul.{0, 0} ENNReal ENNReal] (ᾰ : ENNReal) (ᾰ_1 : ENNReal) (e_2 : Eq.{1} ENNReal ᾰ ᾰ_1) (ᾰ_2 : ENNReal) (ᾰ_3 : ENNReal) (e_3 : Eq.{1} ENNReal ᾰ_2 ᾰ_3) => congr.{1, 1} ENNReal ENNReal (SMul.smul.{0, 0} ENNReal ENNReal self ᾰ) (SMul.smul.{0, 0} ENNReal ENNReal self ᾰ_1) ᾰ_2 ᾰ_3 (congr_arg.{1, 1} ENNReal (ENNReal -> ENNReal) ᾰ ᾰ_1 (SMul.smul.{0, 0} ENNReal ENNReal self) e_2) e_3) (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) c c (rfl.{1} ENNReal c) (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))) m_empty)) (Algebra.id.smul_eq_mul.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring) c (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))) (MulZeroClass.mul_zero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) c)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))) (rfl.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))) (propext (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) True (eq_self_iff_true.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))))) trivial)))
 but is expected to have type
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} {c : ENNReal}, (Ne.{1} ENNReal c (Top.top.{0} ENNReal (CompleteLattice.toTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) -> (Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (HSMul.hSMul.{0, u1, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (instHSMul.{0, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSMul.{u1, 0} α ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) c (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u1} α (HSMul.hSMul.{0, u1, u1} ENNReal ((Set.{u1} α) -> ENNReal) ((Set.{u1} α) -> ENNReal) (instHSMul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Pi.instSMul.{u1, 0, 0} (Set.{u1} α) ENNReal (fun (a._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.11625 : Set.{u1} α) => ENNReal) (fun (i : Set.{u1} α) => Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) c m) (of_eq_true (Eq.{1} ENNReal (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.trans.{1} Prop (Eq.{1} ENNReal (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal (MulZeroClass.toZero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))))))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) True (congrFun.{1, 1} ENNReal (fun (a._@.Init.Prelude._hyg.170 : ENNReal) => Prop) (Eq.{1} ENNReal (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal (MulZeroClass.toZero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))))) (congrArg.{1, 1} ENNReal (ENNReal -> Prop) (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal (MulZeroClass.toZero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))))))) (Eq.{1} ENNReal) (Eq.trans.{1} ENNReal (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal (MulZeroClass.toZero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))))))) (congrArg.{1, 1} ENNReal ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c) m_empty) (MulZeroClass.mul_zero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) c))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (eq_self.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal (MulZeroClass.toZero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))))))))))))
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} {c : ENNReal}, (Ne.{1} ENNReal c (Top.top.{0} ENNReal (CompleteLattice.toTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) -> (Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (HSMul.hSMul.{0, u1, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (instHSMul.{0, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSMul.{u1, 0} α ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) c (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u1} α (HSMul.hSMul.{0, u1, u1} ENNReal ((Set.{u1} α) -> ENNReal) ((Set.{u1} α) -> ENNReal) (instHSMul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Pi.instSMul.{u1, 0, 0} (Set.{u1} α) ENNReal (fun (a._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.11555 : Set.{u1} α) => ENNReal) (fun (i : Set.{u1} α) => Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) c m) (of_eq_true (Eq.{1} ENNReal (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.trans.{1} Prop (Eq.{1} ENNReal (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal (MulZeroClass.toZero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))))))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) True (congrFun.{1, 1} ENNReal (fun (a._@.Init.Prelude._hyg.170 : ENNReal) => Prop) (Eq.{1} ENNReal (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal (MulZeroClass.toZero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))))) (congrArg.{1, 1} ENNReal (ENNReal -> Prop) (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal (MulZeroClass.toZero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))))))) (Eq.{1} ENNReal) (Eq.trans.{1} ENNReal (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal (MulZeroClass.toZero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))))))) (congrArg.{1, 1} ENNReal ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c) m_empty) (MulZeroClass.mul_zero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) c))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (eq_self.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal (MulZeroClass.toZero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))))))))))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.smul_of_function MeasureTheory.OuterMeasure.smul_ofFunctionₓ'. -/
 theorem smul_ofFunction {c : ℝ≥0∞} (hc : c ≠ ∞) :
     c • OuterMeasure.ofFunction m m_empty = OuterMeasure.ofFunction (c • m) (by simp [m_empty]) :=
@@ -1403,6 +1403,7 @@ theorem le_bounded_by' {μ : OuterMeasure α} :
   cases' s.eq_empty_or_nonempty with h h <;> simp [h]
 #align measure_theory.outer_measure.le_bounded_by' MeasureTheory.OuterMeasure.le_bounded_by'
 
+#print MeasureTheory.OuterMeasure.boundedBy_top /-
 @[simp]
 theorem boundedBy_top : boundedBy (⊤ : Set α → ℝ≥0∞) = ⊤ :=
   by
@@ -1411,19 +1412,22 @@ theorem boundedBy_top : boundedBy (⊤ : Set α → ℝ≥0∞) = ⊤ :=
   rw [top_apply hs]
   exact le_rfl
 #align measure_theory.outer_measure.bounded_by_top MeasureTheory.OuterMeasure.boundedBy_top
+-/
 
+#print MeasureTheory.OuterMeasure.boundedBy_zero /-
 @[simp]
 theorem boundedBy_zero : boundedBy (0 : Set α → ℝ≥0∞) = 0 :=
   by
   rw [← coe_bot, eq_bot_iff]
   apply bounded_by_le
 #align measure_theory.outer_measure.bounded_by_zero MeasureTheory.OuterMeasure.boundedBy_zero
+-/
 
 /- warning: measure_theory.outer_measure.smul_bounded_by -> MeasureTheory.OuterMeasure.smul_boundedBy is a dubious translation:
 lean 3 declaration is
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {c : ENNReal}, (Ne.{1} ENNReal c (Top.top.{0} ENNReal (CompleteLattice.toHasTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder)))) -> (Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (SMul.smul.{0, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.hasSmul.{u1, 0} α ENNReal (SMulZeroClass.toHasSmul.{0, 0} ENNReal ENNReal (AddZeroClass.toHasZero.{0} ENNReal (AddMonoid.toAddZeroClass.{0} ENNReal (AddCommMonoid.toAddMonoid.{0} ENNReal (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (SMulWithZero.toSmulZeroClass.{0, 0} ENNReal ENNReal (MulZeroClass.toHasZero.{0} ENNReal (MulZeroOneClass.toMulZeroClass.{0} ENNReal (MonoidWithZero.toMulZeroOneClass.{0} ENNReal (Semiring.toMonoidWithZero.{0} ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (AddZeroClass.toHasZero.{0} ENNReal (AddMonoid.toAddZeroClass.{0} ENNReal (AddCommMonoid.toAddMonoid.{0} ENNReal (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (MulActionWithZero.toSMulWithZero.{0, 0} ENNReal ENNReal (Semiring.toMonoidWithZero.{0} ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (AddZeroClass.toHasZero.{0} ENNReal (AddMonoid.toAddZeroClass.{0} ENNReal (AddCommMonoid.toAddMonoid.{0} ENNReal (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (Module.toMulActionWithZero.{0, 0} ENNReal ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (Algebra.toModule.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) c (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (MeasureTheory.OuterMeasure.boundedBy.{u1} α (SMul.smul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Function.hasSMul.{u1, 0, 0} (Set.{u1} α) ENNReal ENNReal (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) c m)))
 but is expected to have type
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {c : ENNReal}, (Ne.{1} ENNReal c (Top.top.{0} ENNReal (CompleteLattice.toTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) -> (Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (HSMul.hSMul.{0, u1, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (instHSMul.{0, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSMul.{u1, 0} α ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) c (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (MeasureTheory.OuterMeasure.boundedBy.{u1} α (HSMul.hSMul.{0, u1, u1} ENNReal ((Set.{u1} α) -> ENNReal) ((Set.{u1} α) -> ENNReal) (instHSMul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Pi.instSMul.{u1, 0, 0} (Set.{u1} α) ENNReal (fun (a._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.12444 : Set.{u1} α) => ENNReal) (fun (i : Set.{u1} α) => Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) c m)))
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {c : ENNReal}, (Ne.{1} ENNReal c (Top.top.{0} ENNReal (CompleteLattice.toTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) -> (Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (HSMul.hSMul.{0, u1, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (instHSMul.{0, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSMul.{u1, 0} α ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) c (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (MeasureTheory.OuterMeasure.boundedBy.{u1} α (HSMul.hSMul.{0, u1, u1} ENNReal ((Set.{u1} α) -> ENNReal) ((Set.{u1} α) -> ENNReal) (instHSMul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Pi.instSMul.{u1, 0, 0} (Set.{u1} α) ENNReal (fun (a._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.12526 : Set.{u1} α) => ENNReal) (fun (i : Set.{u1} α) => Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) c m)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.smul_bounded_by MeasureTheory.OuterMeasure.smul_boundedByₓ'. -/
 theorem smul_boundedBy {c : ℝ≥0∞} (hc : c ≠ ∞) : c • boundedBy m = boundedBy (c • m) :=
   by
@@ -2022,7 +2026,7 @@ theorem map_iInf_comap {ι β} [Nonempty ι] {f : α → β} (m : ι → OuterMe
 lean 3 declaration is
   forall {α : Type.{u1}} {ι : Type.{u2}} {β : Type.{u3}} {I : Set.{u2} ι}, (Set.Nonempty.{u2} ι I) -> (forall {f : α -> β} (m : ι -> (MeasureTheory.OuterMeasure.{u3} β)), Eq.{succ u3} (MeasureTheory.OuterMeasure.{u3} β) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => coeFn.{max (succ u3) (succ u1), max (succ u3) (succ u1)} (LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u3} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u3, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u3} α β f) (m i))))) (iInf.{u3, succ u2} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) ι (fun (i : ι) => iInf.{u3, 0} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u3} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u3, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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 but is expected to have type
-  forall {α : Type.{u1}} {ι : Type.{u3}} {β : Type.{u2}} {I : Set.{u3} ι}, (Set.Nonempty.{u3} ι I) -> (forall {f : α -> β} (m : ι -> (MeasureTheory.OuterMeasure.{u2} β)), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (iInf.{u1, succ u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u3, u3} ι (Set.{u3} ι) (Set.instMembershipSet.{u3} ι) i I) (fun (h._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.16667 : Membership.mem.{u3, u3} ι (Set.{u3} ι) (Set.instMembershipSet.{u3} ι) i I) => FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) 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(CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (m i))))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_binfi_comap MeasureTheory.OuterMeasure.map_biInf_comapₓ'. -/
 theorem map_biInf_comap {ι β} {I : Set ι} (hI : I.Nonempty) {f : α → β} (m : ι → OuterMeasure β) :
     map f (⨅ i ∈ I, comap f (m i)) = ⨅ i ∈ I, map f (comap f (m i)) :=
@@ -2063,7 +2067,7 @@ theorem restrict_iInf {ι} [Nonempty ι] (s : Set α) (m : ι → OuterMeasure 
 lean 3 declaration is
   forall {α : Type.{u1}} {ι : Type.{u2}} {I : Set.{u2} ι}, (Set.Nonempty.{u2} ι I) -> (forall (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => m i)))) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))))
 but is expected to have type
-  forall {α : Type.{u1}} {ι : Type.{u2}} {I : Set.{u2} ι}, (Set.Nonempty.{u2} ι I) -> (forall (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (h._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.17167 : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => m i)))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) 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+  forall {α : Type.{u1}} {ι : Type.{u2}} {I : Set.{u2} ι}, (Set.Nonempty.{u2} ι I) -> (forall (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun 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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => m i)))) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_binfi MeasureTheory.OuterMeasure.restrict_biInfₓ'. -/
 theorem restrict_biInf {ι} {I : Set ι} (hI : I.Nonempty) (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨅ i ∈ I, m i) = ⨅ i ∈ I, restrict s (m i) :=
@@ -2118,6 +2122,12 @@ def extend (s : α) : ℝ≥0∞ :=
 #align measure_theory.extend MeasureTheory.extend
 -/
 
+/- warning: measure_theory.smul_extend -> MeasureTheory.smul_extend is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {P : α -> Prop} (m : forall (s : α), (P s) -> ENNReal) {R : Type.{u2}} [_inst_1 : Zero.{u2} R] [_inst_2 : SMulWithZero.{u2, 0} R ENNReal _inst_1 ENNReal.hasZero] [_inst_3 : IsScalarTower.{u2, 0, 0} R ENNReal ENNReal (SMulZeroClass.toHasSmul.{u2, 0} R ENNReal ENNReal.hasZero (SMulWithZero.toSmulZeroClass.{u2, 0} R ENNReal _inst_1 ENNReal.hasZero _inst_2)) (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (SMulZeroClass.toHasSmul.{u2, 0} R ENNReal ENNReal.hasZero (SMulWithZero.toSmulZeroClass.{u2, 0} R ENNReal _inst_1 ENNReal.hasZero _inst_2))] [_inst_4 : NoZeroSMulDivisors.{u2, 0} R ENNReal _inst_1 ENNReal.hasZero (SMulZeroClass.toHasSmul.{u2, 0} R ENNReal ENNReal.hasZero (SMulWithZero.toSmulZeroClass.{u2, 0} R ENNReal _inst_1 ENNReal.hasZero _inst_2))] {c : R}, (Ne.{succ u2} R c (OfNat.ofNat.{u2} R 0 (OfNat.mk.{u2} R 0 (Zero.zero.{u2} R _inst_1)))) -> (Eq.{succ u1} (α -> ENNReal) (SMul.smul.{u2, u1} R (α -> ENNReal) (Function.hasSMul.{u1, u2, 0} α R ENNReal (SMulZeroClass.toHasSmul.{u2, 0} R ENNReal ENNReal.hasZero (SMulWithZero.toSmulZeroClass.{u2, 0} R ENNReal _inst_1 ENNReal.hasZero _inst_2))) c (MeasureTheory.extend.{u1} α (fun (s : α) => P s) m)) (MeasureTheory.extend.{u1} α (fun (s : α) => P s) (fun (s : α) (h : P s) => SMul.smul.{u2, 0} R ENNReal (SMulZeroClass.toHasSmul.{u2, 0} R ENNReal ENNReal.hasZero (SMulWithZero.toSmulZeroClass.{u2, 0} R ENNReal _inst_1 ENNReal.hasZero _inst_2)) c (m s h))))
+but is expected to have type
+  forall {α : Type.{u1}} {P : α -> Prop} (m : forall (s : α), (P s) -> ENNReal) {R : Type.{u2}} [_inst_1 : Zero.{u2} R] [_inst_2 : SMulWithZero.{u2, 0} R ENNReal _inst_1 instENNRealZero] [_inst_3 : IsScalarTower.{u2, 0, 0} R ENNReal ENNReal (SMulZeroClass.toSMul.{u2, 0} R ENNReal instENNRealZero (SMulWithZero.toSMulZeroClass.{u2, 0} R ENNReal _inst_1 instENNRealZero _inst_2)) (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (SMulZeroClass.toSMul.{u2, 0} R ENNReal instENNRealZero (SMulWithZero.toSMulZeroClass.{u2, 0} R ENNReal _inst_1 instENNRealZero _inst_2))] [_inst_4 : NoZeroSMulDivisors.{u2, 0} R ENNReal _inst_1 instENNRealZero (SMulZeroClass.toSMul.{u2, 0} R ENNReal instENNRealZero (SMulWithZero.toSMulZeroClass.{u2, 0} R ENNReal _inst_1 instENNRealZero _inst_2))] {c : R}, (Ne.{succ u2} R c (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R _inst_1))) -> (Eq.{succ u1} (α -> ENNReal) (HSMul.hSMul.{u2, u1, u1} R (α -> ENNReal) (α -> ENNReal) (instHSMul.{u2, u1} R (α -> ENNReal) (Pi.instSMul.{u1, 0, u2} α R (fun (s : α) => ENNReal) (fun (i : α) => SMulZeroClass.toSMul.{u2, 0} R ENNReal instENNRealZero (SMulWithZero.toSMulZeroClass.{u2, 0} R ENNReal _inst_1 instENNRealZero _inst_2)))) c (MeasureTheory.extend.{u1} α (fun (s : α) => P s) m)) (MeasureTheory.extend.{u1} α (fun (s : α) => P s) (fun (s : α) (h : P s) => HSMul.hSMul.{u2, 0, 0} R ENNReal ENNReal (instHSMul.{u2, 0} R ENNReal (SMulZeroClass.toSMul.{u2, 0} R ENNReal instENNRealZero (SMulWithZero.toSMulZeroClass.{u2, 0} R ENNReal _inst_1 instENNRealZero _inst_2))) c (m s h))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.smul_extend MeasureTheory.smul_extendₓ'. -/
 theorem smul_extend {R} [Zero R] [SMulWithZero R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞]
     [NoZeroSMulDivisors R ℝ≥0∞] {c : R} (hc : c ≠ 0) : c • extend m = extend fun s h => c • m s h :=
   by
@@ -2164,6 +2174,12 @@ theorem extend_congr {β : Type _} {Pb : β → Prop} {mb : ∀ s : β, Pb s →
 #align measure_theory.extend_congr MeasureTheory.extend_congr
 -/
 
+/- warning: measure_theory.extend_top -> MeasureTheory.extend_top is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {P : α -> Prop}, Eq.{succ u1} (α -> ENNReal) (MeasureTheory.extend.{u1} α (fun (s : α) => P s) (fun (s : α) (h : P s) => Top.top.{0} ENNReal (CompleteLattice.toHasTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder)))) (Top.top.{u1} (α -> ENNReal) (Pi.hasTop.{u1, 0} α (fun (s : α) => ENNReal) (fun (i : α) => CompleteLattice.toHasTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))
+but is expected to have type
+  forall {α : Type.{u1}} {P : α -> Prop}, Eq.{succ u1} (α -> ENNReal) (MeasureTheory.extend.{u1} α (fun (s : α) => P s) (fun (s : α) (h : P s) => Top.top.{0} ENNReal (CompleteLattice.toTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Top.top.{u1} (α -> ENNReal) (Pi.instTopForAll.{u1, 0} α (fun (s : α) => ENNReal) (fun (i : α) => CompleteLattice.toTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.extend_top MeasureTheory.extend_topₓ'. -/
 @[simp]
 theorem extend_top {α : Type _} {P : α → Prop} : extend (fun s h => ∞ : ∀ s : α, P s → ℝ≥0∞) = ⊤ :=
   funext fun x => iInf_eq_top.mpr fun i => rfl
@@ -2644,10 +2660,12 @@ theorem trim_trim (m : OuterMeasure α) : m.trim.trim = m.trim :=
 #align measure_theory.outer_measure.trim_trim MeasureTheory.OuterMeasure.trim_trim
 -/
 
+#print MeasureTheory.OuterMeasure.trim_top /-
 @[simp]
 theorem trim_top : (⊤ : OuterMeasure α).trim = ⊤ :=
   eq_top_iff.2 <| le_trim _
 #align measure_theory.outer_measure.trim_top MeasureTheory.OuterMeasure.trim_top
+-/
 
 #print MeasureTheory.OuterMeasure.trim_zero /-
 @[simp]

mathlib commit https://github.com/leanprover-community/mathlib/commit/95a87616d63b3cb49d3fe678d416fbe9c4217bf4

@@ -2393,7 +2393,7 @@ theorem inducedOuterMeasure_eq_iInf (s : Set α) :
 lean 3 declaration is
   forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall (f : Equiv.{succ u1, succ u1} α α) (Pm : forall (s : Set.{u1} α), Iff (P (Set.preimage.{u1, u1} α α (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) (fun (_x : Equiv.{succ u1, succ u1} α α) => α -> α) (Equiv.hasCoeToFun.{succ u1, succ u1} α α) f) s)) (P s)), (forall (s : Set.{u1} α) (hs : P s), Eq.{1} ENNReal (m (Set.preimage.{u1, u1} α α (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) (fun (_x : Equiv.{succ u1, succ u1} α α) => α -> α) (Equiv.hasCoeToFun.{succ u1, succ u1} α α) f) s) (Iff.mpr (P (Set.preimage.{u1, u1} α α (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) (fun (_x : Equiv.{succ u1, succ u1} α α) => α -> α) (Equiv.hasCoeToFun.{succ u1, succ u1} α α) f) s)) (P s) (Pm s) hs)) (m s hs)) -> (forall {A : Set.{u1} α}, Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (Set.preimage.{u1, u1} α α (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) (fun (_x : Equiv.{succ u1, succ u1} α α) => α -> α) (Equiv.hasCoeToFun.{succ u1, succ u1} α α) f) A)) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) A)))
 but is expected to have type
-  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall (f : Equiv.{succ u1, succ u1} α α) (Pm : forall (s : Set.{u1} α), Iff (P (Set.preimage.{u1, u1} α α (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) α (fun (_x : α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : α) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} α α) f) s)) (P s)), (forall (s : Set.{u1} α) (hs : P s), Eq.{1} ENNReal (m (Set.preimage.{u1, u1} α α (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) α (fun (_x : α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : α) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} α α) f) s) (Iff.mpr (P (Set.preimage.{u1, u1} α α (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) α (fun (_x : α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : α) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} α α) f) s)) (P s) (Pm s) hs)) (m s hs)) -> (forall {A : Set.{u1} α}, Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (Set.preimage.{u1, u1} α α (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) α (fun (_x : α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : α) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} α α) f) A)) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) A)))
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall (f : Equiv.{succ u1, succ u1} α α) (Pm : forall (s : Set.{u1} α), Iff (P (Set.preimage.{u1, u1} α α (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) α (fun (_x : α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : α) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} α α) f) s)) (P s)), (forall (s : Set.{u1} α) (hs : P s), Eq.{1} ENNReal (m (Set.preimage.{u1, u1} α α (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) α (fun (_x : α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : α) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} α α) f) s) (Iff.mpr (P (Set.preimage.{u1, u1} α α (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) α (fun (_x : α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : α) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} α α) f) s)) (P s) (Pm s) hs)) (m s hs)) -> (forall {A : Set.{u1} α}, Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (Set.preimage.{u1, u1} α α (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) α (fun (_x : α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : α) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} α α) f) A)) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) A)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_preimage MeasureTheory.inducedOuterMeasure_preimageₓ'. -/
 theorem inducedOuterMeasure_preimage (f : α ≃ α) (Pm : ∀ s : Set α, P (f ⁻¹' s) ↔ P s)
     (mm : ∀ (s : Set α) (hs : P s), m (f ⁻¹' s) ((Pm _).mpr hs) = m s hs) {A : Set α} :

mathlib commit https://github.com/leanprover-community/mathlib/commit/c89fe2d59ae06402c3f55f978016d1ada444f57e

@@ -660,7 +660,7 @@ def map {β} (f : α → β) : OuterMeasure α →ₗ[ℝ≥0∞] OuterMeasure 
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u2} β), Eq.{1} ENNReal (coeFn.{succ u2, succ u2} (MeasureTheory.OuterMeasure.{u2} β) (fun (_x : MeasureTheory.OuterMeasure.{u2} β) => (Set.{u2} β) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) m) s) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.preimage.{u1, u2} α β f s))
 but is expected to have type
-  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u2} β), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u2} β (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) m) s) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Set.preimage.{u1, u2} α β f s))
+  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u2} β), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u2} β (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) m) s) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Set.preimage.{u1, u2} α β f s))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_apply MeasureTheory.OuterMeasure.map_applyₓ'. -/
 @[simp]
 theorem map_apply {β} (f : α → β) (m : OuterMeasure α) (s : Set β) : map f m s = m (f ⁻¹' s) :=
@@ -671,7 +671,7 @@ theorem map_apply {β} (f : α → β) (m : OuterMeasure α) (s : Set β) : map
 lean 3 declaration is
   forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u1} α α (id.{succ u1} α)) m) m
 but is expected to have type
-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u1} α α (id.{succ u1} α)) m) m
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u1} α α (id.{succ u1} α)) m) m
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_id MeasureTheory.OuterMeasure.map_idₓ'. -/
 @[simp]
 theorem map_id (m : OuterMeasure α) : map id m = m :=
@@ -682,7 +682,7 @@ theorem map_id (m : OuterMeasure α) : map id m = m :=
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} {γ : Type.{u3}} (f : α -> β) (g : β -> γ) (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u3} (MeasureTheory.OuterMeasure.{u3} γ) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{0, 0, u2, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u3} γ) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} γ) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} γ ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u2, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u3} γ) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} γ) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} γ ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u3} γ)) (LinearMap.hasCoeToFun.{0, 0, u2, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u3} γ) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} γ) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} γ ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u2, u3} β γ g) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal 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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} γ)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} γ) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal 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 but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_map MeasureTheory.OuterMeasure.map_mapₓ'. -/
 @[simp]
 theorem map_map {β γ} (f : α → β) (g : β → γ) (m : OuterMeasure α) :
@@ -694,7 +694,7 @@ theorem map_map {β γ} (f : α → β) (g : β → γ) (m : OuterMeasure α) :
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β), Monotone.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α)) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f))
 but is expected to have type
-  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β), Monotone.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α)) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f))
+  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β), Monotone.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α)) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_mono MeasureTheory.OuterMeasure.map_monoₓ'. -/
 @[mono]
 theorem map_mono {β} (f : α → β) : Monotone (map f) := fun m m' h s => h _
@@ -704,7 +704,7 @@ theorem map_mono {β} (f : α → β) : Monotone (map f) := fun m m' h s => h _
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u1} α) (m' : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u2} (MeasureTheory.OuterMeasure.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (Sup.sup.{u1} (MeasureTheory.OuterMeasure.{u1} α) (SemilatticeSup.toHasSup.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Lattice.toSemilatticeSup.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))))) m m')) (Sup.sup.{u2} (MeasureTheory.OuterMeasure.{u2} β) (SemilatticeSup.toHasSup.{u2} (MeasureTheory.OuterMeasure.{u2} β) (Lattice.toSemilatticeSup.{u2} (MeasureTheory.OuterMeasure.{u2} β) (ConditionallyCompleteLattice.toLattice.{u2} (MeasureTheory.OuterMeasure.{u2} β) (CompleteLattice.toConditionallyCompleteLattice.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} β))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) m) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) m'))
 but is expected to have type
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(MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β 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 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_sup MeasureTheory.OuterMeasure.map_supₓ'. -/
 @[simp]
 theorem map_sup {β} (f : α → β) (m m' : OuterMeasure α) : map f (m ⊔ m') = map f m ⊔ map f m' :=
@@ -715,7 +715,7 @@ theorem map_sup {β} (f : α → β) (m m' : OuterMeasure α) : map f (m ⊔ m')
 lean 3 declaration is
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β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (iSup.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => m i))) (iSup.{u2, u3} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instSupSet.{u2} β) ι (fun (i : ι) => coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) 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 but is expected to have type
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ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} 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+  forall {α : Type.{u1}} {β : Type.{u3}} {ι : Sort.{u2}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u3} β) (iSup.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => m i))) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} 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(CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u3} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} 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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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(CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (m i)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_supr MeasureTheory.OuterMeasure.map_iSupₓ'. -/
 @[simp]
 theorem map_iSup {β ι} (f : α → β) (m : ι → OuterMeasure α) : map f (⨆ i, m i) = ⨆ i, map f (m i) :=
@@ -817,7 +817,7 @@ def comap {β} (f : α → β) : OuterMeasure β →ₗ[ℝ≥0∞] OuterMeasure
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u2} β) (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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 but is expected to have type
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(MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} 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(CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (fun (_x : MeasureTheory.OuterMeasure.{u2} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u2} β) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) m) s) (MeasureTheory.OuterMeasure.measureOf.{u2} β m (Set.image.{u1, u2} α β f s))
+  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u2} β) (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} 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(CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (fun (_x : MeasureTheory.OuterMeasure.{u2} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u2} β) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) m) s) (MeasureTheory.OuterMeasure.measureOf.{u2} β m (Set.image.{u1, u2} α β f s))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_apply MeasureTheory.OuterMeasure.comap_applyₓ'. -/
 @[simp]
 theorem comap_apply {β} (f : α → β) (m : OuterMeasure β) (s : Set α) : comap f m s = m (f '' s) :=
@@ -828,7 +828,7 @@ theorem comap_apply {β} (f : α → β) (m : OuterMeasure β) (s : Set α) : co
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β), Monotone.{u2, u1} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β)) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α)) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f))
 but is expected to have type
-  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β), Monotone.{u2, u1} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β)) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (fun (_x : MeasureTheory.OuterMeasure.{u2} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u2} β) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f))
+  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β), Monotone.{u2, u1} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β)) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (fun (_x : MeasureTheory.OuterMeasure.{u2} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u2} β) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_mono MeasureTheory.OuterMeasure.comap_monoₓ'. -/
 @[mono]
 theorem comap_mono {β} (f : α → β) : Monotone (comap f) := fun m m' h s => h _
@@ -838,7 +838,7 @@ theorem comap_mono {β} (f : α → β) : Monotone (comap f) := fun m m' h s =>
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} {ι : Sort.{u3}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u2} β)), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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(Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (iSup.{u2, u3} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instSupSet.{u2} β) ι (fun (i : ι) => m i))) (iSup.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal 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MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal 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MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (m i)))
 but is expected to have type
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ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} 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+  forall {α : Type.{u1}} {β : Type.{u3}} {ι : Sort.{u2}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u3} β)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u3} β) => MeasureTheory.OuterMeasure.{u1} α) (iSup.{u3, u2} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instSupSet.{u3} β) ι (fun (i : ι) => m i))) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal 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(CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u3} β) (fun (_x : MeasureTheory.OuterMeasure.{u3} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u3} β) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u3, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} 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(CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u3} α β f) (iSup.{u3, u2} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instSupSet.{u3} β) ι (fun (i : ι) => m i))) (iSup.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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(CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u3} β) (fun (_x : MeasureTheory.OuterMeasure.{u3} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u3} β) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u3, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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(CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u3} α β f) (m i)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_supr MeasureTheory.OuterMeasure.comap_iSupₓ'. -/
 @[simp]
 theorem comap_iSup {β ι} (f : α → β) (m : ι → OuterMeasure β) :
@@ -861,7 +861,7 @@ def restrict (s : Set α) : OuterMeasure α →ₗ[ℝ≥0∞] OuterMeasure α :
 lean 3 declaration is
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ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) t) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t s))
 but is expected to have type
-  forall {α : Type.{u1}} (s : Set.{u1} α) (t : Set.{u1} α) (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) t) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s))
+  forall {α : Type.{u1}} (s : Set.{u1} α) (t : Set.{u1} α) (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) t) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_apply MeasureTheory.OuterMeasure.restrict_applyₓ'. -/
 @[simp]
 theorem restrict_apply (s t : Set α) (m : OuterMeasure α) : restrict s m t = m (t ∩ s) := by
@@ -872,7 +872,7 @@ theorem restrict_apply (s t : Set α) (m : OuterMeasure α) : restrict s m t = m
 lean 3 declaration is
   forall {α : Type.{u1}} {s : Set.{u1} α} {t : Set.{u1} α}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) -> (forall {m : MeasureTheory.OuterMeasure.{u1} α} {m' : MeasureTheory.OuterMeasure.{u1} α}, (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toHasLe.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) m m') -> (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toHasLe.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α t) m')))
 but is expected to have type
-  forall {α : Type.{u1}} {s : Set.{u1} α} {t : Set.{u1} α}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) -> (forall {m : MeasureTheory.OuterMeasure.{u1} α} {m' : MeasureTheory.OuterMeasure.{u1} α}, (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) m m') -> (LE.le.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (Preorder.toLE.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (PartialOrder.toPreorder.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α t) m')))
+  forall {α : Type.{u1}} {s : Set.{u1} α} {t : Set.{u1} α}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) -> (forall {m : MeasureTheory.OuterMeasure.{u1} α} {m' : MeasureTheory.OuterMeasure.{u1} α}, (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) m m') -> (LE.le.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (Preorder.toLE.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (PartialOrder.toPreorder.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α t) m')))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_mono MeasureTheory.OuterMeasure.restrict_monoₓ'. -/
 @[mono]
 theorem restrict_mono {s t : Set α} (h : s ⊆ t) {m m' : OuterMeasure α} (hm : m ≤ m') :
@@ -886,7 +886,7 @@ theorem restrict_mono {s t : Set α} (h : s ⊆ t) {m m' : OuterMeasure α} (hm
 lean 3 declaration is
   forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α (Set.univ.{u1} α)) m) m
 but is expected to have type
-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α (Set.univ.{u1} α)) m) m
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α (Set.univ.{u1} α)) m) m
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_univ MeasureTheory.OuterMeasure.restrict_univₓ'. -/
 @[simp]
 theorem restrict_univ (m : OuterMeasure α) : restrict univ m = m :=
@@ -897,7 +897,7 @@ theorem restrict_univ (m : OuterMeasure α) : restrict univ m = m :=
 lean 3 declaration is
   forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) m) (OfNat.ofNat.{u1} (MeasureTheory.OuterMeasure.{u1} α) 0 (OfNat.mk.{u1} (MeasureTheory.OuterMeasure.{u1} α) 0 (Zero.zero.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instZero.{u1} α))))
 but is expected to have type
-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) m) (OfNat.ofNat.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) 0 (Zero.toOfNat0.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (MeasureTheory.OuterMeasure.instZero.{u1} α)))
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) m) (OfNat.ofNat.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) 0 (Zero.toOfNat0.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (MeasureTheory.OuterMeasure.instZero.{u1} α)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_empty MeasureTheory.OuterMeasure.restrict_emptyₓ'. -/
 @[simp]
 theorem restrict_empty (m : OuterMeasure α) : restrict ∅ m = 0 :=
@@ -908,7 +908,7 @@ theorem restrict_empty (m : OuterMeasure α) : restrict ∅ m = 0 :=
 lean 3 declaration is
   forall {α : Type.{u1}} {ι : Sort.{u2}} (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iSup.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => m i))) (iSup.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))
 but is expected to have type
-  forall {α : Type.{u1}} {ι : Sort.{u2}} (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (iSup.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => m i))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal 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(CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iSup.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => m i))) (iSup.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))
+  forall {α : Type.{u1}} {ι : Sort.{u2}} (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (iSup.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => m i))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iSup.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => m i))) (iSup.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_supr MeasureTheory.OuterMeasure.restrict_iSupₓ'. -/
 @[simp]
 theorem restrict_iSup {ι} (s : Set α) (m : ι → OuterMeasure α) :
@@ -919,7 +919,7 @@ theorem restrict_iSup {ι} (s : Set α) (m : ι → OuterMeasure α) :
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u2} β), Eq.{succ u2} (MeasureTheory.OuterMeasure.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) m)) (coeFn.{succ u2, succ u2} (LinearMap.{0, 0, u2, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u2, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u2, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u2} β (Set.range.{u2, succ u1} β α f)) m)
 but is expected to have type
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ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal 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(Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (fun (a : MeasureTheory.OuterMeasure.{u2} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u2} β) => MeasureTheory.OuterMeasure.{u1} α) a) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) 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(CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (fun (_x : MeasureTheory.OuterMeasure.{u2} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u2} β) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u2} β (Set.range.{u2, succ u1} β α f)) m)
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_comap MeasureTheory.OuterMeasure.map_comapₓ'. -/
 theorem map_comap {β} (f : α → β) (m : OuterMeasure β) : map f (comap f m) = restrict (range f) m :=
   ext fun s => congr_arg m <| by simp only [image_preimage_eq_inter_range, Subtype.range_coe]
@@ -929,7 +929,7 @@ theorem map_comap {β} (f : α → β) (m : OuterMeasure β) : map f (comap f m)
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u2} β), LE.le.{u2} (MeasureTheory.OuterMeasure.{u2} β) (Preorder.toHasLe.{u2} (MeasureTheory.OuterMeasure.{u2} β) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) m)) m
 but is expected to have type
-  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u2} β), LE.le.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal 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 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_comap_le MeasureTheory.OuterMeasure.map_comap_leₓ'. -/
 theorem map_comap_le {β} (f : α → β) (m : OuterMeasure β) : map f (comap f m) ≤ m := fun s =>
   m.mono <| image_preimage_subset _ _
@@ -939,7 +939,7 @@ theorem map_comap_le {β} (f : α → β) (m : OuterMeasure β) : map f (comap f
 lean 3 declaration is
   forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toHasLe.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) m
 but is expected to have type
-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), LE.le.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (Preorder.toLE.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (PartialOrder.toPreorder.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) m
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), LE.le.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (Preorder.toLE.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (PartialOrder.toPreorder.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) m
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_le_self MeasureTheory.OuterMeasure.restrict_le_selfₓ'. -/
 theorem restrict_le_self (m : OuterMeasure α) (s : Set α) : restrict s m ≤ m :=
   map_comap_le _ _
@@ -949,7 +949,7 @@ theorem restrict_le_self (m : OuterMeasure α) (s : Set α) : restrict s m ≤ m
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} {ma : MeasureTheory.OuterMeasure.{u1} α} {mb : MeasureTheory.OuterMeasure.{u2} β} {f : α -> β}, Iff (LE.le.{u2} (MeasureTheory.OuterMeasure.{u2} β) (Preorder.toHasLe.{u2} (MeasureTheory.OuterMeasure.{u2} β) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) ma) (coeFn.{succ u2, succ u2} (LinearMap.{0, 0, u2, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u2, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u2, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u2} β (Set.range.{u2, succ u1} β α f)) mb)) (LE.le.{u2} (MeasureTheory.OuterMeasure.{u2} β) (Preorder.toHasLe.{u2} (MeasureTheory.OuterMeasure.{u2} β) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) ma) mb)
 but is expected to have type
-  forall {α : Type.{u1}} {β : Type.{u2}} {ma : MeasureTheory.OuterMeasure.{u1} α} {mb : MeasureTheory.OuterMeasure.{u2} β} {f : α -> β}, Iff (LE.le.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) ma) (Preorder.toLE.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) ma) (PartialOrder.toPreorder.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) ma) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) 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ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} 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ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (fun (_x : MeasureTheory.OuterMeasure.{u2} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u2} β) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u2} β (Set.range.{u2, succ u1} β α f)) mb)) (LE.le.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) ma) (Preorder.toLE.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) ma) (PartialOrder.toPreorder.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) ma) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) ma) mb)
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_le_restrict_range MeasureTheory.OuterMeasure.map_le_restrict_rangeₓ'. -/
 @[simp]
 theorem map_le_restrict_range {β} {ma : OuterMeasure α} {mb : OuterMeasure β} {f : α → β} :
@@ -961,7 +961,7 @@ theorem map_le_restrict_range {β} {ma : OuterMeasure α} {mb : OuterMeasure β}
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} {f : α -> β}, (Function.Surjective.{succ u1, succ u2} α β f) -> (forall (m : MeasureTheory.OuterMeasure.{u2} β), Eq.{succ u2} (MeasureTheory.OuterMeasure.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) m)) m)
 but is expected to have type
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(MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal 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ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal 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ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) m)) m)
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_comap_of_surjective MeasureTheory.OuterMeasure.map_comap_of_surjectiveₓ'. -/
 theorem map_comap_of_surjective {β} {f : α → β} (hf : Surjective f) (m : OuterMeasure β) :
     map f (comap f m) = m :=
@@ -972,7 +972,7 @@ theorem map_comap_of_surjective {β} {f : α → β} (hf : Surjective f) (m : Ou
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u1} α), LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toHasLe.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) m (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal 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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal 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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) m))
 but is expected to have type
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(MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal 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(CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} 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+  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u1} α), LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) m (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal 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ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) m))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_comap_map MeasureTheory.OuterMeasure.le_comap_mapₓ'. -/
 theorem le_comap_map {β} (f : α → β) (m : OuterMeasure α) : m ≤ comap f (map f m) := fun s =>
   m.mono <| subset_preimage_image _ _
@@ -982,7 +982,7 @@ theorem le_comap_map {β} (f : α → β) (m : OuterMeasure α) : m ≤ comap f
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} {f : α -> β}, (Function.Injective.{succ u1, succ u2} α β f) -> (forall (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) m)) m)
 but is expected to have type
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ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) m)) m)
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_map MeasureTheory.OuterMeasure.comap_mapₓ'. -/
 theorem comap_map {β} {f : α → β} (hf : Injective f) (m : OuterMeasure α) : comap f (map f m) = m :=
   ext fun s => by rw [comap_apply, map_apply, hf.preimage_image]
@@ -1014,7 +1014,7 @@ theorem top_apply' (s : Set α) : (⊤ : OuterMeasure α) s = ⨅ h : s = ∅, 0
 lean 3 declaration is
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(MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (Top.top.{u2} (MeasureTheory.OuterMeasure.{u2} β) (CompleteLattice.toHasTop.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} β)))) (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toHasTop.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α)))
 but is expected to have type
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(CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} β) (fun (_x : MeasureTheory.OuterMeasure.{u1} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} β) => MeasureTheory.OuterMeasure.{u2} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} β) (MeasureTheory.OuterMeasure.{u2} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} 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=> MeasureTheory.OuterMeasure.{u2} α) (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} β) (CompleteLattice.toTop.{u1} (MeasureTheory.OuterMeasure.{u1} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} β)))) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} α)))
+  forall {α : Type.{u2}} {β : Type.{u1}} (f : α -> β), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} β) => MeasureTheory.OuterMeasure.{u2} α) (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} β) (CompleteLattice.toTop.{u1} (MeasureTheory.OuterMeasure.{u1} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} β)))) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal 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ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u2, u1} α β f) (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} β) (CompleteLattice.toTop.{u1} (MeasureTheory.OuterMeasure.{u1} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} β)))) (Top.top.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} β) => MeasureTheory.OuterMeasure.{u2} α) (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} β) (CompleteLattice.toTop.{u1} (MeasureTheory.OuterMeasure.{u1} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} β)))) (CompleteLattice.toTop.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} β) => MeasureTheory.OuterMeasure.{u2} α) (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} β) (CompleteLattice.toTop.{u1} (MeasureTheory.OuterMeasure.{u1} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} β)))) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} α)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_top MeasureTheory.OuterMeasure.comap_topₓ'. -/
 @[simp]
 theorem comap_top (f : α → β) : comap f ⊤ = ⊤ :=
@@ -1025,7 +1025,7 @@ theorem comap_top (f : α → β) : comap f ⊤ = ⊤ :=
 lean 3 declaration is
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(MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toHasTop.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α)))) (coeFn.{succ u2, succ u2} (LinearMap.{0, 0, u2, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u2, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u2, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u2} β (Set.range.{u2, succ u1} β α f)) (Top.top.{u2} (MeasureTheory.OuterMeasure.{u2} β) (CompleteLattice.toHasTop.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} β))))
 but is expected to have type
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(CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} 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+  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toTop.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal 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(CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} 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(CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (fun (_x : MeasureTheory.OuterMeasure.{u2} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u2} β) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u2} β (Set.range.{u2, succ u1} β α f)) (Top.top.{u2} (MeasureTheory.OuterMeasure.{u2} β) (CompleteLattice.toTop.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} β))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_top MeasureTheory.OuterMeasure.map_topₓ'. -/
 theorem map_top (f : α → β) : map f ⊤ = restrict (range f) ⊤ :=
   ext fun s => by
@@ -1037,7 +1037,7 @@ theorem map_top (f : α → β) : map f ⊤ = restrict (range f) ⊤ :=
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β), (Function.Surjective.{succ u1, succ u2} α β f) -> (Eq.{succ u2} (MeasureTheory.OuterMeasure.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toHasTop.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α)))) (Top.top.{u2} (MeasureTheory.OuterMeasure.{u2} β) (CompleteLattice.toHasTop.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} β))))
 but is expected to have type
-  forall {α : Type.{u2}} {β : Type.{u1}} (f : α -> β), (Function.Surjective.{succ u2, succ u1} α β f) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u2} α) => MeasureTheory.OuterMeasure.{u1} β) (Top.top.{u2} (MeasureTheory.OuterMeasure.{u2} α) (CompleteLattice.toTop.{u2} (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} α)))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.{u1} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} α) (fun (_x : MeasureTheory.OuterMeasure.{u2} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u2} α) => MeasureTheory.OuterMeasure.{u1} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.{u1} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u2, u1} α β f) (Top.top.{u2} (MeasureTheory.OuterMeasure.{u2} α) (CompleteLattice.toTop.{u2} (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} α)))) (Top.top.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u2} α) => MeasureTheory.OuterMeasure.{u1} β) (Top.top.{u2} (MeasureTheory.OuterMeasure.{u2} α) (CompleteLattice.toTop.{u2} (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} α)))) (CompleteLattice.toTop.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u2} α) => MeasureTheory.OuterMeasure.{u1} β) (Top.top.{u2} (MeasureTheory.OuterMeasure.{u2} α) (CompleteLattice.toTop.{u2} (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} α)))) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} β))))
+  forall {α : Type.{u2}} {β : Type.{u1}} (f : α -> β), (Function.Surjective.{succ u2, succ u1} α β f) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u2} α) => MeasureTheory.OuterMeasure.{u1} β) (Top.top.{u2} (MeasureTheory.OuterMeasure.{u2} α) (CompleteLattice.toTop.{u2} (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} α)))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.{u1} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} α) (fun (_x : MeasureTheory.OuterMeasure.{u2} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u2} α) => MeasureTheory.OuterMeasure.{u1} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.{u1} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u2, u1} α β f) (Top.top.{u2} (MeasureTheory.OuterMeasure.{u2} α) (CompleteLattice.toTop.{u2} (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} α)))) (Top.top.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u2} α) => MeasureTheory.OuterMeasure.{u1} β) (Top.top.{u2} (MeasureTheory.OuterMeasure.{u2} α) (CompleteLattice.toTop.{u2} (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} α)))) (CompleteLattice.toTop.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u2} α) => MeasureTheory.OuterMeasure.{u1} β) (Top.top.{u2} (MeasureTheory.OuterMeasure.{u2} α) (CompleteLattice.toTop.{u2} (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} α)))) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} β))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_top_of_surjective MeasureTheory.OuterMeasure.map_top_of_surjectiveₓ'. -/
 theorem map_top_of_surjective (f : α → β) (hf : Surjective f) : map f ⊤ = ⊤ := by
   rw [map_top, hf.range_eq, restrict_univ]
@@ -1224,7 +1224,7 @@ theorem ofFunction_union_of_top_of_nonempty_inter {s t : Set α}
 lean 3 declaration is
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} {β : Type.{u2}} (f : β -> α), (Or (Monotone.{u1, 0} (Set.{u1} α) ENNReal (PartialOrder.toPreorder.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α))))))) (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder)))) m) (Function.Surjective.{succ u2, succ u1} β α f)) -> (Eq.{succ u2} (MeasureTheory.OuterMeasure.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u2, u1} β α f) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u2} β (fun (s : Set.{u2} β) => m (Set.image.{u2, u1} β α f s)) (Eq.mpr.{0} (Eq.{1} ENNReal (m (Set.image.{u2, u1} β α f (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.hasEmptyc.{u2} β)))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (id_tag Tactic.IdTag.rw (Eq.{1} Prop (Eq.{1} ENNReal (m (Set.image.{u2, u1} β α f (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.hasEmptyc.{u2} β)))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))) (Eq.ndrec.{0, succ u1} (Set.{u1} α) (Set.image.{u2, u1} β α f (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.hasEmptyc.{u2} β))) (fun (_a : Set.{u1} α) => Eq.{1} Prop (Eq.{1} ENNReal (m (Set.image.{u2, u1} β α f (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.hasEmptyc.{u2} β)))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (Eq.{1} ENNReal (m _a) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))) (rfl.{1} Prop (Eq.{1} ENNReal (m (Set.image.{u2, u1} β α f (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.hasEmptyc.{u2} β)))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) (Set.image_empty.{u2, u1} β α f))) m_empty)))
 but is expected to have type
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} {β : Type.{u2}} (f : β -> α), (Or (Monotone.{u1, 0} (Set.{u1} α) ENNReal (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) m) (Function.Surjective.{succ u2, succ u1} β α f)) -> (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u2, u1} β α f) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u2} β (fun (s : Set.{u2} β) => m (Set.image.{u2, u1} β α f s)) (Eq.mpr.{0} (Eq.{1} ENNReal ((fun (s : Set.{u2} β) => m (Set.image.{u2, u1} β α f s)) (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.instEmptyCollectionSet.{u2} β))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (id.{0} (Eq.{1} Prop (Eq.{1} ENNReal ((fun (s : Set.{u2} β) => m (Set.image.{u2, u1} β α f s)) (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.instEmptyCollectionSet.{u2} β))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))) (congrFun.{1, 1} ENNReal (fun (a._@.Init.Prelude._hyg.170 : ENNReal) => Prop) (Eq.{1} ENNReal (m (Set.image.{u2, u1} β α f (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.instEmptyCollectionSet.{u2} β))))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (congrArg.{1, 1} ENNReal (ENNReal -> Prop) (m (Set.image.{u2, u1} β α f (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.instEmptyCollectionSet.{u2} β)))) (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (Eq.{1} ENNReal) (congrArg.{succ u1, 1} (Set.{u1} α) ENNReal (Set.image.{u2, u1} β α f (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.instEmptyCollectionSet.{u2} β))) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) m (Set.image_empty.{u2, u1} β α f))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))) (of_eq_true (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.trans.{1} Prop (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) True (congrFun.{1, 1} ENNReal (fun (a._@.Init.Prelude._hyg.170 : ENNReal) => Prop) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (congrArg.{1, 1} ENNReal (ENNReal -> Prop) (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (Eq.{1} ENNReal) m_empty) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (eq_self.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))))))))
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} {β : Type.{u2}} (f : β -> α), (Or (Monotone.{u1, 0} (Set.{u1} α) ENNReal (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) m) (Function.Surjective.{succ u2, succ u1} β α f)) -> (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u2, u1} β α f) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u2} β (fun (s : Set.{u2} β) => m (Set.image.{u2, u1} β α f s)) (Eq.mpr.{0} (Eq.{1} ENNReal ((fun (s : Set.{u2} β) => m (Set.image.{u2, u1} β α f s)) (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.instEmptyCollectionSet.{u2} β))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (id.{0} (Eq.{1} Prop (Eq.{1} ENNReal ((fun (s : Set.{u2} β) => m (Set.image.{u2, u1} β α f s)) (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.instEmptyCollectionSet.{u2} β))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))) (congrFun.{1, 1} ENNReal (fun (a._@.Init.Prelude._hyg.170 : ENNReal) => Prop) (Eq.{1} ENNReal (m (Set.image.{u2, u1} β α f (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.instEmptyCollectionSet.{u2} β))))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (congrArg.{1, 1} ENNReal (ENNReal -> Prop) (m (Set.image.{u2, u1} β α f (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.instEmptyCollectionSet.{u2} β)))) (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (Eq.{1} ENNReal) (congrArg.{succ u1, 1} (Set.{u1} α) ENNReal (Set.image.{u2, u1} β α f (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.instEmptyCollectionSet.{u2} β))) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) m (Set.image_empty.{u2, u1} β α f))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))) (of_eq_true (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.trans.{1} Prop (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) True (congrFun.{1, 1} ENNReal (fun (a._@.Init.Prelude._hyg.170 : ENNReal) => Prop) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (congrArg.{1, 1} ENNReal (ENNReal -> Prop) (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (Eq.{1} ENNReal) m_empty) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (eq_self.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))))))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_of_function MeasureTheory.OuterMeasure.comap_ofFunctionₓ'. -/
 theorem comap_ofFunction {β} (f : β → α) (h : Monotone m ∨ Surjective f) :
     comap f (OuterMeasure.ofFunction m m_empty) =
@@ -1246,7 +1246,7 @@ theorem comap_ofFunction {β} (f : β → α) (h : Monotone m ∨ Surjective f)
 lean 3 declaration is
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} {β : Type.{u2}} (f : α -> β), LE.le.{u2} (MeasureTheory.OuterMeasure.{u2} β) (Preorder.toHasLe.{u2} (MeasureTheory.OuterMeasure.{u2} β) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u2} β (fun (s : Set.{u2} β) => m (Set.preimage.{u1, u2} α β f s)) m_empty)
 but is expected to have type
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} {β : Type.{u2}} (f : α -> β), LE.le.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (Preorder.toLE.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (PartialOrder.toPreorder.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u2} β (fun (s : Set.{u2} β) => m (Set.preimage.{u1, u2} α β f s)) m_empty)
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} {β : Type.{u2}} (f : α -> β), LE.le.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (Preorder.toLE.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (PartialOrder.toPreorder.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u2} β (fun (s : Set.{u2} β) => m (Set.preimage.{u1, u2} α β f s)) m_empty)
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_of_function_le MeasureTheory.OuterMeasure.map_ofFunction_leₓ'. -/
 theorem map_ofFunction_le {β} (f : α → β) :
     map f (OuterMeasure.ofFunction m m_empty) ≤
@@ -1260,7 +1260,7 @@ theorem map_ofFunction_le {β} (f : α → β) :
 lean 3 declaration is
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} {β : Type.{u2}} {f : α -> β}, (Function.Injective.{succ u1, succ u2} α β f) -> (Eq.{succ u2} (MeasureTheory.OuterMeasure.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u2} β (fun (s : Set.{u2} β) => m (Set.preimage.{u1, u2} α β f s)) m_empty))
 but is expected to have type
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} {β : Type.{u2}} {f : α -> β}, (Function.Injective.{succ u1, succ u2} α β f) -> (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u2} β (fun (s : Set.{u2} β) => m (Set.preimage.{u1, u2} α β f s)) m_empty))
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} {β : Type.{u2}} {f : α -> β}, (Function.Injective.{succ u1, succ u2} α β f) -> (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u2} β (fun (s : Set.{u2} β) => m (Set.preimage.{u1, u2} α β f s)) m_empty))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_of_function MeasureTheory.OuterMeasure.map_ofFunctionₓ'. -/
 theorem map_ofFunction {β} {f : α → β} (hf : Injective f) :
     map f (OuterMeasure.ofFunction m m_empty) =
@@ -1280,7 +1280,7 @@ theorem map_ofFunction {β} {f : α → β} (hf : Injective f) :
 lean 3 declaration is
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (s : Set.{u1} α), (Monotone.{u1, 0} (Set.{u1} α) ENNReal (PartialOrder.toPreorder.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α))))))) (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder)))) m) -> (Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u1} α (fun (t : Set.{u1} α) => m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t s)) (Eq.mpr.{0} (Eq.{1} ENNReal (m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) s)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (id_tag Tactic.IdTag.rw (Eq.{1} Prop (Eq.{1} ENNReal (m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) s)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))) (Eq.ndrec.{0, succ u1} (Set.{u1} α) (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) s) (fun (_a : Set.{u1} α) => Eq.{1} Prop (Eq.{1} ENNReal (m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) s)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (Eq.{1} ENNReal (m _a) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))) (rfl.{1} Prop (Eq.{1} ENNReal (m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) s)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) (Set.empty_inter.{u1} α s))) m_empty)))
 but is expected to have type
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (s : Set.{u1} α), (Monotone.{u1, 0} (Set.{u1} α) ENNReal (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) m) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u1} α (fun (t : Set.{u1} α) => m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (Eq.mpr.{0} (Eq.{1} ENNReal ((fun (t : Set.{u1} α) => m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (id.{0} (Eq.{1} Prop (Eq.{1} ENNReal ((fun (t : Set.{u1} α) => m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))) (congrFun.{1, 1} ENNReal (fun (a._@.Init.Prelude._hyg.170 : ENNReal) => Prop) (Eq.{1} ENNReal (m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) s))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (congrArg.{1, 1} ENNReal (ENNReal -> Prop) (m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) s)) (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (Eq.{1} ENNReal) (congrArg.{succ u1, 1} (Set.{u1} α) ENNReal (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) s) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) m (Set.empty_inter.{u1} α s))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))) (of_eq_true (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.trans.{1} Prop (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) True (congrFun.{1, 1} ENNReal (fun (a._@.Init.Prelude._hyg.170 : ENNReal) => Prop) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (congrArg.{1, 1} ENNReal (ENNReal -> Prop) (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (Eq.{1} ENNReal) m_empty) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (eq_self.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))))))))
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (s : Set.{u1} α), (Monotone.{u1, 0} (Set.{u1} α) ENNReal (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) m) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u1} α (fun (t : Set.{u1} α) => m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (Eq.mpr.{0} (Eq.{1} ENNReal ((fun (t : Set.{u1} α) => m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (id.{0} (Eq.{1} Prop (Eq.{1} ENNReal ((fun (t : Set.{u1} α) => m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))) (congrFun.{1, 1} ENNReal (fun (a._@.Init.Prelude._hyg.170 : ENNReal) => Prop) (Eq.{1} ENNReal (m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) s))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (congrArg.{1, 1} ENNReal (ENNReal -> Prop) (m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) s)) (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (Eq.{1} ENNReal) (congrArg.{succ u1, 1} (Set.{u1} α) ENNReal (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) s) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) m (Set.empty_inter.{u1} α s))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))) (of_eq_true (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.trans.{1} Prop (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) True (congrFun.{1, 1} ENNReal (fun (a._@.Init.Prelude._hyg.170 : ENNReal) => Prop) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (congrArg.{1, 1} ENNReal (ENNReal -> Prop) (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (Eq.{1} ENNReal) m_empty) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (eq_self.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))))))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_of_function MeasureTheory.OuterMeasure.restrict_ofFunctionₓ'. -/
 theorem restrict_ofFunction (s : Set α) (hm : Monotone m) :
     restrict s (OuterMeasure.ofFunction m m_empty) =
@@ -1436,7 +1436,7 @@ theorem smul_boundedBy {c : ℝ≥0∞} (hc : c ≠ ∞) : c • boundedBy m = b
 lean 3 declaration is
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {β : Type.{u2}} (f : β -> α), (Or (Monotone.{u1, 0} (Subtype.{succ u1} (Set.{u1} α) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s)) ENNReal (Subtype.preorder.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α))))))) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s)) (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder)))) (fun (s : Subtype.{succ u1} (Set.{u1} α) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s)) => m ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Subtype.{succ u1} (Set.{u1} α) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s)) (Set.{u1} α) (HasLiftT.mk.{succ u1, succ u1} (Subtype.{succ u1} (Set.{u1} α) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s)) (Set.{u1} α) (CoeTCₓ.coe.{succ u1, succ u1} (Subtype.{succ u1} (Set.{u1} α) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s)) (Set.{u1} α) (coeBase.{succ u1, succ u1} (Subtype.{succ u1} (Set.{u1} α) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s)) (Set.{u1} α) (coeSubtype.{succ u1} (Set.{u1} α) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s))))) s))) (Function.Surjective.{succ u2, succ u1} β α f)) -> (Eq.{succ u2} (MeasureTheory.OuterMeasure.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u2, u1} β α f) (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (MeasureTheory.OuterMeasure.boundedBy.{u2} β (fun (s : Set.{u2} β) => m (Set.image.{u2, u1} β α f s))))
 but is expected to have type
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {β : Type.{u2}} (f : β -> α), (Or (Monotone.{u1, 0} (Subtype.{succ u1} (Set.{u1} α) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s)) ENNReal (Subtype.preorder.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s)) (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (fun (s : Subtype.{succ u1} (Set.{u1} α) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s)) => m (Subtype.val.{succ u1} (Set.{u1} α) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s) s))) (Function.Surjective.{succ u2, succ u1} β α f)) -> (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u2, u1} β α f) (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (MeasureTheory.OuterMeasure.boundedBy.{u2} β (fun (s : Set.{u2} β) => m (Set.image.{u2, u1} β α f s))))
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {β : Type.{u2}} (f : β -> α), (Or (Monotone.{u1, 0} (Subtype.{succ u1} (Set.{u1} α) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s)) ENNReal (Subtype.preorder.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s)) (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (fun (s : Subtype.{succ u1} (Set.{u1} α) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s)) => m (Subtype.val.{succ u1} (Set.{u1} α) (fun (s : Set.{u1} α) => Set.Nonempty.{u1} α s) s))) (Function.Surjective.{succ u2, succ u1} β α f)) -> (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u2, u1} β α f) (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (MeasureTheory.OuterMeasure.boundedBy.{u2} β (fun (s : Set.{u2} β) => m (Set.image.{u2, u1} β α f s))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_bounded_by MeasureTheory.OuterMeasure.comap_boundedByₓ'. -/
 theorem comap_boundedBy {β} (f : β → α)
     (h : (Monotone fun s : { s : Set α // s.Nonempty } => m s) ∨ Surjective f) :
@@ -1962,7 +1962,7 @@ theorem biInf_apply' {ι} (I : Set ι) (m : ι → OuterMeasure α) {s : Set α}
 lean 3 declaration is
   forall {α : Type.{u1}} {ι : Sort.{u2}} {β : Type.{u3}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), LE.le.{u3} (MeasureTheory.OuterMeasure.{u3} β) (Preorder.toHasLe.{u3} (MeasureTheory.OuterMeasure.{u3} β) (PartialOrder.toPreorder.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u3} β))) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (iInf.{u3, u2} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) ι (fun (i : ι) => coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) 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 but is expected to have type
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(MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (m i)))
+  forall {α : Type.{u1}} {ι : Sort.{u3}} {β : Type.{u2}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), LE.le.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (iInf.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (Preorder.toLE.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (iInf.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (PartialOrder.toPreorder.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (iInf.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (iInf.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (iInf.{u2, u3} (MeasureTheory.OuterMeasure.{u2} β) (ConditionallyCompleteLattice.toInfSet.{u2} (MeasureTheory.OuterMeasure.{u2} β) (CompleteLattice.toConditionallyCompleteLattice.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} β))) ι (fun (i : ι) => FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (m i)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_infi_le MeasureTheory.OuterMeasure.map_iInf_leₓ'. -/
 theorem map_iInf_le {ι β} (f : α → β) (m : ι → OuterMeasure α) :
     map f (⨅ i, m i) ≤ ⨅ i, map f (m i) :=
@@ -1973,7 +1973,7 @@ theorem map_iInf_le {ι β} (f : α → β) (m : ι → OuterMeasure α) :
 lean 3 declaration is
   forall {α : Type.{u1}} {ι : Sort.{u2}} {β : Type.{u3}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u3} β)), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{max (succ u3) (succ u1), max (succ u3) (succ u1)} (LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u3} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u3, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal 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 but is expected to have type
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(MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (m i)))
+  forall {α : Type.{u1}} {ι : Sort.{u3}} {β : Type.{u2}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u2} β)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u2} β) => MeasureTheory.OuterMeasure.{u1} α) (iInf.{u2, u3} (MeasureTheory.OuterMeasure.{u2} β) (ConditionallyCompleteLattice.toInfSet.{u2} (MeasureTheory.OuterMeasure.{u2} β) (CompleteLattice.toConditionallyCompleteLattice.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} β))) ι (fun (i : ι) => m i))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (fun (_x : MeasureTheory.OuterMeasure.{u2} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u2} β) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (iInf.{u2, u3} (MeasureTheory.OuterMeasure.{u2} β) (ConditionallyCompleteLattice.toInfSet.{u2} (MeasureTheory.OuterMeasure.{u2} β) (CompleteLattice.toConditionallyCompleteLattice.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} β))) ι (fun (i : ι) => m i))) (iInf.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (fun (_x : MeasureTheory.OuterMeasure.{u2} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u2} β) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (m i)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_infi MeasureTheory.OuterMeasure.comap_iInfₓ'. -/
 theorem comap_iInf {ι β} (f : α → β) (m : ι → OuterMeasure β) :
     comap f (⨅ i, m i) = ⨅ i, comap f (m i) :=
@@ -1990,7 +1990,7 @@ theorem comap_iInf {ι β} (f : α → β) (m : ι → OuterMeasure β) :
 lean 3 declaration is
   forall {α : Type.{u1}} {ι : Sort.{u2}} {β : Type.{u3}} {f : α -> β}, (Function.Injective.{succ u1, succ u3} α β f) -> (forall (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u3} (MeasureTheory.OuterMeasure.{u3} β) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (coeFn.{succ u3, succ u3} (LinearMap.{0, 0, u3, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u3, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u3} β) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u3, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u3} β (Set.range.{u3, succ u1} β α f)) (iInf.{u3, u2} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) ι (fun (i : ι) => coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (m i)))))
 but is expected to have type
-  forall {α : Type.{u1}} {ι : Sort.{u3}} {β : Type.{u2}} {f : α -> β}, (Function.Injective.{succ u1, succ u2} α β f) -> (forall (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (iInf.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal 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(Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal 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f)) (iInf.{u2, u3} (MeasureTheory.OuterMeasure.{u2} β) (ConditionallyCompleteLattice.toInfSet.{u2} (MeasureTheory.OuterMeasure.{u2} β) (CompleteLattice.toConditionallyCompleteLattice.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} β))) ι (fun (i : ι) => FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal 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ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (m i)))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_infi MeasureTheory.OuterMeasure.map_iInfₓ'. -/
 theorem map_iInf {ι β} {f : α → β} (hf : Injective f) (m : ι → OuterMeasure α) :
     map f (⨅ i, m i) = restrict (range f) (⨅ i, map f (m i)) :=
@@ -2003,7 +2003,7 @@ theorem map_iInf {ι β} {f : α → β} (hf : Injective f) (m : ι → OuterMea
 lean 3 declaration is
   forall {α : Type.{u1}} {ι : Sort.{u2}} {β : Type.{u3}} [_inst_1 : Nonempty.{u2} ι] {f : α -> β} (m : ι -> (MeasureTheory.OuterMeasure.{u3} β)), Eq.{succ u3} (MeasureTheory.OuterMeasure.{u3} β) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) 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ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => coeFn.{max (succ u3) (succ u1), max (succ u3) (succ u1)} (LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u3} α β f) (m i)))) (iInf.{u3, u2} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (coeFn.{max (succ u3) (succ u1), max (succ u3) (succ u1)} (LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal 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(MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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 but is expected to have type
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ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (m i))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_infi_comap MeasureTheory.OuterMeasure.map_iInf_comapₓ'. -/
 theorem map_iInf_comap {ι β} [Nonempty ι] {f : α → β} (m : ι → OuterMeasure β) :
     map f (⨅ i, comap f (m i)) = ⨅ i, map f (comap f (m i)) :=
@@ -2022,7 +2022,7 @@ theorem map_iInf_comap {ι β} [Nonempty ι] {f : α → β} (m : ι → OuterMe
 lean 3 declaration is
   forall {α : Type.{u1}} {ι : Type.{u2}} {β : Type.{u3}} {I : Set.{u2} ι}, (Set.Nonempty.{u2} ι I) -> (forall {f : α -> β} (m : ι -> (MeasureTheory.OuterMeasure.{u3} β)), Eq.{succ u3} (MeasureTheory.OuterMeasure.{u3} β) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => coeFn.{max (succ u3) (succ u1), max (succ u3) (succ u1)} (LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u3} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u3, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u3} α β f) (m i))))) (iInf.{u3, succ u2} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) ι (fun (i : ι) => iInf.{u3, 0} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u3} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u3, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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 but is expected to have type
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(h._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.16667 : Membership.mem.{u3, u3} ι (Set.{u3} ι) (Set.instMembershipSet.{u3} ι) i I) => FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal 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(MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} 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 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_binfi_comap MeasureTheory.OuterMeasure.map_biInf_comapₓ'. -/
 theorem map_biInf_comap {ι β} {I : Set ι} (hI : I.Nonempty) {f : α → β} (m : ι → OuterMeasure β) :
     map f (⨅ i ∈ I, comap f (m i)) = ⨅ i ∈ I, map f (comap f (m i)) :=
@@ -2036,7 +2036,7 @@ theorem map_biInf_comap {ι β} {I : Set ι} (hI : I.Nonempty) {f : α → β} (
 lean 3 declaration is
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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i)))
 but is expected to have type
-  forall {α : Type.{u1}} {ι : Sort.{u2}} (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal 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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_infi_restrict MeasureTheory.OuterMeasure.restrict_iInf_restrictₓ'. -/
 theorem restrict_iInf_restrict {ι} (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨅ i, restrict s (m i)) = restrict s (⨅ i, m i) :=
@@ -2052,7 +2052,7 @@ theorem restrict_iInf_restrict {ι} (s : Set α) (m : ι → OuterMeasure α) :
 lean 3 declaration is
   forall {α : Type.{u1}} {ι : Sort.{u2}} [_inst_1 : Nonempty.{u2} ι] (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))
 but is expected to have type
-  forall {α : Type.{u1}} {ι : Sort.{u2}} [_inst_1 : Nonempty.{u2} ι] (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal 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(Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal 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+  forall {α : Type.{u1}} {ι : Sort.{u2}} [_inst_1 : Nonempty.{u2} ι] (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_infi MeasureTheory.OuterMeasure.restrict_iInfₓ'. -/
 theorem restrict_iInf {ι} [Nonempty ι] (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨅ i, m i) = ⨅ i, restrict s (m i) :=
@@ -2063,7 +2063,7 @@ theorem restrict_iInf {ι} [Nonempty ι] (s : Set α) (m : ι → OuterMeasure 
 lean 3 declaration is
   forall {α : Type.{u1}} {ι : Type.{u2}} {I : Set.{u2} ι}, (Set.Nonempty.{u2} ι I) -> (forall (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => m i)))) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))))
 but is expected to have type
-  forall {α : Type.{u1}} {ι : Type.{u2}} {I : Set.{u2} ι}, (Set.Nonempty.{u2} ι I) -> (forall (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (h._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.17167 : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => m i)))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => m i)))) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))))
+  forall {α : Type.{u1}} {ι : Type.{u2}} {I : Set.{u2} ι}, (Set.Nonempty.{u2} ι I) -> (forall (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (h._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.17167 : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => m i)))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal 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ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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(ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_binfi MeasureTheory.OuterMeasure.restrict_biInfₓ'. -/
 theorem restrict_biInf {ι} {I : Set ι} (hI : I.Nonempty) (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨅ i ∈ I, m i) = ⨅ i ∈ I, restrict s (m i) :=
@@ -2077,7 +2077,7 @@ theorem restrict_biInf {ι} {I : Set ι} (hI : I.Nonempty) (s : Set α) (m : ι
 lean 3 declaration is
   forall {α : Type.{u1}} (m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) {s : Set.{u1} α}, (Set.Nonempty.{u1} (MeasureTheory.OuterMeasure.{u1} α) m) -> (Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (InfSet.sInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m)) (InfSet.sInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Set.image.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s)) m)))
 but is expected to have type
-  forall {α : Type.{u1}} (m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) {s : Set.{u1} α}, (Set.Nonempty.{u1} (MeasureTheory.OuterMeasure.{u1} α) m) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (InfSet.sInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (InfSet.sInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m)) (InfSet.sInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Set.image.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s)) m)))
+  forall {α : Type.{u1}} (m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) {s : Set.{u1} α}, (Set.Nonempty.{u1} (MeasureTheory.OuterMeasure.{u1} α) m) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (InfSet.sInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (InfSet.sInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m)) (InfSet.sInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Set.image.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal 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(CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s)) m)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_Inf_eq_Inf_restrict MeasureTheory.OuterMeasure.restrict_sInf_eq_sInf_restrictₓ'. -/
 /-- This proves that Inf and restrict commute for outer measures, so long as the set of
 outer measures is nonempty. -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/0b9eaaa7686280fad8cce467f5c3c57ee6ce77f8

@@ -106,7 +106,7 @@ theorem empty' (m : OuterMeasure α) : m ∅ = 0 :=
 
 /- warning: measure_theory.outer_measure.mono' -> MeasureTheory.OuterMeasure.mono' is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m s₁) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m s₂))
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m s₁) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m s₂))
 but is expected to have type
   forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m s₁) (MeasureTheory.OuterMeasure.measureOf.{u1} α m s₂))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.mono' MeasureTheory.OuterMeasure.mono'ₓ'. -/
@@ -126,7 +126,7 @@ theorem mono_null (m : OuterMeasure α) {s t} (h : s ⊆ t) (ht : m t = 0) : m s
 
 /- warning: measure_theory.outer_measure.pos_of_subset_ne_zero -> MeasureTheory.OuterMeasure.pos_of_subset_ne_zero is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {a : Set.{u1} α} {b : Set.{u1} α}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) a b) -> (Ne.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m a) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (LT.lt.{0} ENNReal (Preorder.toLT.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m b))
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {a : Set.{u1} α} {b : Set.{u1} α}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) a b) -> (Ne.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m a) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (LT.lt.{0} ENNReal (Preorder.toHasLt.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m b))
 but is expected to have type
   forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {a : Set.{u1} α} {b : Set.{u1} α}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) a b) -> (Ne.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m a) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (LT.lt.{0} ENNReal (Preorder.toLT.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (MeasureTheory.OuterMeasure.measureOf.{u1} α m b))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.pos_of_subset_ne_zero MeasureTheory.OuterMeasure.pos_of_subset_ne_zeroₓ'. -/
@@ -137,7 +137,7 @@ theorem pos_of_subset_ne_zero (m : OuterMeasure α) {a b : Set α} (hs : a ⊆ b
 
 /- warning: measure_theory.outer_measure.Union -> MeasureTheory.OuterMeasure.iUnion is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {β : Type.{u2}} [_inst_1 : Countable.{succ u2} β] (s : β -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.iUnion.{u1, succ u2} α β (fun (i : β) => s i))) (tsum.{0, u2} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace β (fun (i : β) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s i)))
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {β : Type.{u2}} [_inst_1 : Countable.{succ u2} β] (s : β -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.iUnion.{u1, succ u2} α β (fun (i : β) => s i))) (tsum.{0, u2} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace β (fun (i : β) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s i)))
 but is expected to have type
   forall {α : Type.{u2}} (m : MeasureTheory.OuterMeasure.{u2} α) {β : Type.{u1}} [_inst_1 : Countable.{succ u1} β] (s : β -> (Set.{u2} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u2} α m (Set.iUnion.{u2, succ u1} α β (fun (i : β) => s i))) (tsum.{0, u1} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal β (fun (i : β) => MeasureTheory.OuterMeasure.measureOf.{u2} α m (s i)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Union MeasureTheory.OuterMeasure.iUnionₓ'. -/
@@ -207,7 +207,7 @@ theorem sUnion_null_iff (m : OuterMeasure α) {S : Set (Set α)} (hS : S.Countab
 
 /- warning: measure_theory.outer_measure.Union_finset -> MeasureTheory.OuterMeasure.iUnion_finset is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} (m : MeasureTheory.OuterMeasure.{u1} α) (s : β -> (Set.{u1} α)) (t : Finset.{u2} β), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.iUnion.{u1, succ u2} α β (fun (i : β) => Set.iUnion.{u1, 0} α (Membership.Mem.{u2, u2} β (Finset.{u2} β) (Finset.hasMem.{u2} β) i t) (fun (H : Membership.Mem.{u2, u2} β (Finset.{u2} β) (Finset.hasMem.{u2} β) i t) => s i)))) (Finset.sum.{0, u2} ENNReal β (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) t (fun (i : β) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s i)))
+  forall {α : Type.{u1}} {β : Type.{u2}} (m : MeasureTheory.OuterMeasure.{u1} α) (s : β -> (Set.{u1} α)) (t : Finset.{u2} β), LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.iUnion.{u1, succ u2} α β (fun (i : β) => Set.iUnion.{u1, 0} α (Membership.Mem.{u2, u2} β (Finset.{u2} β) (Finset.hasMem.{u2} β) i t) (fun (H : Membership.Mem.{u2, u2} β (Finset.{u2} β) (Finset.hasMem.{u2} β) i t) => s i)))) (Finset.sum.{0, u2} ENNReal β (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) t (fun (i : β) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s i)))
 but is expected to have type
   forall {α : Type.{u2}} {β : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u2} α) (s : β -> (Set.{u2} α)) (t : Finset.{u1} β), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u2} α m (Set.iUnion.{u2, succ u1} α β (fun (i : β) => Set.iUnion.{u2, 0} α (Membership.mem.{u1, u1} β (Finset.{u1} β) (Finset.instMembershipFinset.{u1} β) i t) (fun (H : Membership.mem.{u1, u1} β (Finset.{u1} β) (Finset.instMembershipFinset.{u1} β) i t) => s i)))) (Finset.sum.{0, u1} ENNReal β (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) t (fun (i : β) => MeasureTheory.OuterMeasure.measureOf.{u2} α m (s i)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Union_finset MeasureTheory.OuterMeasure.iUnion_finsetₓ'. -/
@@ -218,7 +218,7 @@ protected theorem iUnion_finset (m : OuterMeasure α) (s : β → Set α) (t : F
 
 /- warning: measure_theory.outer_measure.union -> MeasureTheory.OuterMeasure.union is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) (s₁ : Set.{u1} α) (s₂ : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Union.union.{u1} (Set.{u1} α) (Set.hasUnion.{u1} α) s₁ s₂)) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m s₁) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m s₂))
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) (s₁ : Set.{u1} α) (s₂ : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Union.union.{u1} (Set.{u1} α) (Set.hasUnion.{u1} α) s₁ s₂)) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m s₁) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m s₂))
 but is expected to have type
   forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) (s₁ : Set.{u1} α) (s₂ : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Union.union.{u1} (Set.{u1} α) (Set.instUnionSet.{u1} α) s₁ s₂)) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m s₁) (MeasureTheory.OuterMeasure.measureOf.{u1} α m s₂))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.union MeasureTheory.OuterMeasure.unionₓ'. -/
@@ -247,7 +247,7 @@ theorem null_of_locally_null [TopologicalSpace α] [SecondCountableTopology α]
 
 /- warning: measure_theory.outer_measure.exists_mem_forall_mem_nhds_within_pos -> MeasureTheory.OuterMeasure.exists_mem_forall_mem_nhds_within_pos is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} α] [_inst_2 : TopologicalSpace.SecondCountableTopology.{u1} α _inst_1] (m : MeasureTheory.OuterMeasure.{u1} α) {s : Set.{u1} α}, (Ne.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m s) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (Exists.{succ u1} α (fun (x : α) => Exists.{0} (Membership.Mem.{u1, u1} α (Set.{u1} α) (Set.hasMem.{u1} α) x s) (fun (H : Membership.Mem.{u1, u1} α (Set.{u1} α) (Set.hasMem.{u1} α) x s) => forall (t : Set.{u1} α), (Membership.Mem.{u1, u1} (Set.{u1} α) (Filter.{u1} α) (Filter.hasMem.{u1} α) t (nhdsWithin.{u1} α _inst_1 x s)) -> (LT.lt.{0} ENNReal (Preorder.toLT.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m t)))))
+  forall {α : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} α] [_inst_2 : TopologicalSpace.SecondCountableTopology.{u1} α _inst_1] (m : MeasureTheory.OuterMeasure.{u1} α) {s : Set.{u1} α}, (Ne.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m s) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (Exists.{succ u1} α (fun (x : α) => Exists.{0} (Membership.Mem.{u1, u1} α (Set.{u1} α) (Set.hasMem.{u1} α) x s) (fun (H : Membership.Mem.{u1, u1} α (Set.{u1} α) (Set.hasMem.{u1} α) x s) => forall (t : Set.{u1} α), (Membership.Mem.{u1, u1} (Set.{u1} α) (Filter.{u1} α) (Filter.hasMem.{u1} α) t (nhdsWithin.{u1} α _inst_1 x s)) -> (LT.lt.{0} ENNReal (Preorder.toHasLt.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m t)))))
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} α] [_inst_2 : TopologicalSpace.SecondCountableTopology.{u1} α _inst_1] (m : MeasureTheory.OuterMeasure.{u1} α) {s : Set.{u1} α}, (Ne.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m s) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (Exists.{succ u1} α (fun (x : α) => And (Membership.mem.{u1, u1} α (Set.{u1} α) (Set.instMembershipSet.{u1} α) x s) (forall (t : Set.{u1} α), (Membership.mem.{u1, u1} (Set.{u1} α) (Filter.{u1} α) (instMembershipSetFilter.{u1} α) t (nhdsWithin.{u1} α _inst_1 x s)) -> (LT.lt.{0} ENNReal (Preorder.toLT.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (MeasureTheory.OuterMeasure.measureOf.{u1} α m t)))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.exists_mem_forall_mem_nhds_within_pos MeasureTheory.OuterMeasure.exists_mem_forall_mem_nhds_within_posₓ'. -/
@@ -317,7 +317,7 @@ theorem iUnion_nat_of_monotone_of_tsum_ne_top (m : OuterMeasure α) {s : ℕ →
 
 /- warning: measure_theory.outer_measure.le_inter_add_diff -> MeasureTheory.OuterMeasure.le_inter_add_diff is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {m : MeasureTheory.OuterMeasure.{u1} α} {t : Set.{u1} α} (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m t) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t s)) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (SDiff.sdiff.{u1} (Set.{u1} α) (BooleanAlgebra.toHasSdiff.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)) t s)))
+  forall {α : Type.{u1}} {m : MeasureTheory.OuterMeasure.{u1} α} {t : Set.{u1} α} (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m t) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t s)) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (SDiff.sdiff.{u1} (Set.{u1} α) (BooleanAlgebra.toHasSdiff.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)) t s)))
 but is expected to have type
   forall {α : Type.{u1}} {m : MeasureTheory.OuterMeasure.{u1} α} {t : Set.{u1} α} (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m t) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (SDiff.sdiff.{u1} (Set.{u1} α) (Set.instSDiffSet.{u1} α) t s)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_inter_add_diff MeasureTheory.OuterMeasure.le_inter_add_diffₓ'. -/
@@ -527,12 +527,16 @@ instance MeasureTheory.OuterMeasure.instPartialOrder : PartialOrder (OuterMeasur
 #align measure_theory.outer_measure.outer_measure.partial_order MeasureTheory.OuterMeasure.instPartialOrder
 -/
 
-#print MeasureTheory.OuterMeasure.OuterMeasure.orderBot /-
+/- warning: measure_theory.outer_measure.outer_measure.order_bot -> MeasureTheory.OuterMeasure.OuterMeasure.orderBot is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}}, OrderBot.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toHasLe.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α)))
+but is expected to have type
+  forall {α : Type.{u1}}, OrderBot.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.outer_measure.order_bot MeasureTheory.OuterMeasure.OuterMeasure.orderBotₓ'. -/
 instance OuterMeasure.orderBot : OrderBot (OuterMeasure α) :=
   { OuterMeasure.instBot with
     bot_le := fun a s => by simp only [coe_zero, Pi.zero_apply, coe_bot, zero_le] }
 #align measure_theory.outer_measure.outer_measure.order_bot MeasureTheory.OuterMeasure.OuterMeasure.orderBot
--/
 
 /- warning: measure_theory.outer_measure.univ_eq_zero_iff -> MeasureTheory.OuterMeasure.univ_eq_zero_iff is a dubious translation:
 lean 3 declaration is
@@ -624,7 +628,7 @@ end Supremum
 
 /- warning: measure_theory.outer_measure.mono'' -> MeasureTheory.OuterMeasure.mono'' is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {m₁ : MeasureTheory.OuterMeasure.{u1} α} {m₂ : MeasureTheory.OuterMeasure.{u1} α} {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) m₁ m₂) -> (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m₁ s₁) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m₂ s₂))
+  forall {α : Type.{u1}} {m₁ : MeasureTheory.OuterMeasure.{u1} α} {m₂ : MeasureTheory.OuterMeasure.{u1} α} {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toHasLe.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) m₁ m₂) -> (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m₁ s₁) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m₂ s₂))
 but is expected to have type
   forall {α : Type.{u1}} {m₁ : MeasureTheory.OuterMeasure.{u1} α} {m₂ : MeasureTheory.OuterMeasure.{u1} α} {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) m₁ m₂) -> (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m₁ s₁) (MeasureTheory.OuterMeasure.measureOf.{u1} α m₂ s₂))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.mono'' MeasureTheory.OuterMeasure.mono''ₓ'. -/
@@ -866,7 +870,7 @@ theorem restrict_apply (s t : Set α) (m : OuterMeasure α) : restrict s m t = m
 
 /- warning: measure_theory.outer_measure.restrict_mono -> MeasureTheory.OuterMeasure.restrict_mono is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {s : Set.{u1} α} {t : Set.{u1} α}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) -> (forall {m : MeasureTheory.OuterMeasure.{u1} α} {m' : MeasureTheory.OuterMeasure.{u1} α}, (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) m m') -> (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α t) m')))
+  forall {α : Type.{u1}} {s : Set.{u1} α} {t : Set.{u1} α}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) -> (forall {m : MeasureTheory.OuterMeasure.{u1} α} {m' : MeasureTheory.OuterMeasure.{u1} α}, (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toHasLe.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) m m') -> (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toHasLe.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α t) m')))
 but is expected to have type
   forall {α : Type.{u1}} {s : Set.{u1} α} {t : Set.{u1} α}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) -> (forall {m : MeasureTheory.OuterMeasure.{u1} α} {m' : MeasureTheory.OuterMeasure.{u1} α}, (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) m m') -> (LE.le.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (Preorder.toLE.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (PartialOrder.toPreorder.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal 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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α t) m')))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_mono MeasureTheory.OuterMeasure.restrict_monoₓ'. -/
@@ -923,7 +927,7 @@ theorem map_comap {β} (f : α → β) (m : OuterMeasure β) : map f (comap f m)
 
 /- warning: measure_theory.outer_measure.map_comap_le -> MeasureTheory.OuterMeasure.map_comap_le is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u2} β), LE.le.{u2} (MeasureTheory.OuterMeasure.{u2} β) (Preorder.toLE.{u2} (MeasureTheory.OuterMeasure.{u2} β) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) m)) m
+  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u2} β), LE.le.{u2} (MeasureTheory.OuterMeasure.{u2} β) (Preorder.toHasLe.{u2} (MeasureTheory.OuterMeasure.{u2} β) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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(Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal 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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal 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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) m)) m
 but is expected to have type
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(CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) m)) m
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_comap_le MeasureTheory.OuterMeasure.map_comap_leₓ'. -/
@@ -933,7 +937,7 @@ theorem map_comap_le {β} (f : α → β) (m : OuterMeasure β) : map f (comap f
 
 /- warning: measure_theory.outer_measure.restrict_le_self -> MeasureTheory.OuterMeasure.restrict_le_self is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) m
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toHasLe.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) m
 but is expected to have type
   forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), LE.le.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (Preorder.toLE.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (PartialOrder.toPreorder.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) m
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_le_self MeasureTheory.OuterMeasure.restrict_le_selfₓ'. -/
@@ -943,7 +947,7 @@ theorem restrict_le_self (m : OuterMeasure α) (s : Set α) : restrict s m ≤ m
 
 /- warning: measure_theory.outer_measure.map_le_restrict_range -> MeasureTheory.OuterMeasure.map_le_restrict_range is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} {ma : MeasureTheory.OuterMeasure.{u1} α} {mb : MeasureTheory.OuterMeasure.{u2} β} {f : α -> β}, Iff (LE.le.{u2} (MeasureTheory.OuterMeasure.{u2} β) (Preorder.toLE.{u2} (MeasureTheory.OuterMeasure.{u2} β) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) ma) (coeFn.{succ u2, succ u2} (LinearMap.{0, 0, u2, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u2, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u2, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u2} β (Set.range.{u2, succ u1} β α f)) mb)) (LE.le.{u2} (MeasureTheory.OuterMeasure.{u2} β) (Preorder.toLE.{u2} (MeasureTheory.OuterMeasure.{u2} β) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) ma) mb)
+  forall {α : Type.{u1}} {β : Type.{u2}} {ma : MeasureTheory.OuterMeasure.{u1} α} {mb : MeasureTheory.OuterMeasure.{u2} β} {f : α -> β}, Iff (LE.le.{u2} (MeasureTheory.OuterMeasure.{u2} β) (Preorder.toHasLe.{u2} (MeasureTheory.OuterMeasure.{u2} β) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) ma) (coeFn.{succ u2, succ u2} (LinearMap.{0, 0, u2, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u2, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u2, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u2} β (Set.range.{u2, succ u1} β α f)) mb)) (LE.le.{u2} (MeasureTheory.OuterMeasure.{u2} β) (Preorder.toHasLe.{u2} (MeasureTheory.OuterMeasure.{u2} β) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) ma) mb)
 but is expected to have type
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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) ma) mb)
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_le_restrict_range MeasureTheory.OuterMeasure.map_le_restrict_rangeₓ'. -/
@@ -966,7 +970,7 @@ theorem map_comap_of_surjective {β} {f : α → β} (hf : Surjective f) (m : Ou
 
 /- warning: measure_theory.outer_measure.le_comap_map -> MeasureTheory.OuterMeasure.le_comap_map is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u1} α), LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) m (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) m))
+  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u1} α), LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toHasLe.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) m (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) m))
 but is expected to have type
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(CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal 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(MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal 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(CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) m))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_comap_map MeasureTheory.OuterMeasure.le_comap_mapₓ'. -/
@@ -1107,7 +1111,7 @@ variable {m m_empty}
 
 /- warning: measure_theory.outer_measure.of_function_le -> MeasureTheory.OuterMeasure.ofFunction_le is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) s) (m s)
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) s) (m s)
 but is expected to have type
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) s) (m s)
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.of_function_le MeasureTheory.OuterMeasure.ofFunction_leₓ'. -/
@@ -1120,7 +1124,7 @@ theorem ofFunction_le (s : Set α) : OuterMeasure.ofFunction m m_empty s ≤ m s
 
 /- warning: measure_theory.outer_measure.of_function_eq -> MeasureTheory.OuterMeasure.ofFunction_eq is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (s : Set.{u1} α), (forall {{t : Set.{u1} α}}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s) (m t))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (s i)))) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) s) (m s))
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (s : Set.{u1} α), (forall {{t : Set.{u1} α}}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) -> (LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s) (m t))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (s i)))) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) s) (m s))
 but is expected to have type
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (s : Set.{u1} α), (forall {{t : Set.{u1} α}}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s) (m t))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (s i)))) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) s) (m s))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.of_function_eq MeasureTheory.OuterMeasure.ofFunction_eqₓ'. -/
@@ -1133,7 +1137,7 @@ theorem ofFunction_eq (s : Set α) (m_mono : ∀ ⦃t : Set α⦄, s ⊆ t → m
 
 /- warning: measure_theory.outer_measure.le_of_function -> MeasureTheory.OuterMeasure.le_ofFunction is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} {μ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) μ (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (forall (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ s) (m s))
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} {μ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toHasLe.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) μ (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (forall (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ s) (m s))
 but is expected to have type
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} {μ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) μ (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (forall (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α μ s) (m s))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_of_function MeasureTheory.OuterMeasure.le_ofFunctionₓ'. -/
@@ -1147,7 +1151,7 @@ theorem le_ofFunction {μ : OuterMeasure α} :
 
 /- warning: measure_theory.outer_measure.is_greatest_of_function -> MeasureTheory.OuterMeasure.isGreatest_ofFunction is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))}, IsGreatest.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α)) (setOf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => forall (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ s) (m s))) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))}, IsGreatest.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α)) (setOf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => forall (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ s) (m s))) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)
 but is expected to have type
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))}, IsGreatest.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α)) (setOf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => forall (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α μ s) (m s))) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.is_greatest_of_function MeasureTheory.OuterMeasure.isGreatest_ofFunctionₓ'. -/
@@ -1158,7 +1162,7 @@ theorem isGreatest_ofFunction :
 
 /- warning: measure_theory.outer_measure.of_function_eq_Sup -> MeasureTheory.OuterMeasure.ofFunction_eq_sSup is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))}, Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) (SupSet.sSup.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) (setOf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => forall (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ s) (m s))))
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))}, Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) (SupSet.sSup.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) (setOf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => forall (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ s) (m s))))
 but is expected to have type
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))}, Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) (SupSet.sSup.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) (setOf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => forall (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α μ s) (m s))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.of_function_eq_Sup MeasureTheory.OuterMeasure.ofFunction_eq_sSupₓ'. -/
@@ -1240,7 +1244,7 @@ theorem comap_ofFunction {β} (f : β → α) (h : Monotone m ∨ Surjective f)
 
 /- warning: measure_theory.outer_measure.map_of_function_le -> MeasureTheory.OuterMeasure.map_ofFunction_le is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} {β : Type.{u2}} (f : α -> β), LE.le.{u2} (MeasureTheory.OuterMeasure.{u2} β) (Preorder.toLE.{u2} (MeasureTheory.OuterMeasure.{u2} β) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u2} β (fun (s : Set.{u2} β) => m (Set.preimage.{u1, u2} α β f s)) m_empty)
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} {β : Type.{u2}} (f : α -> β), LE.le.{u2} (MeasureTheory.OuterMeasure.{u2} β) (Preorder.toHasLe.{u2} (MeasureTheory.OuterMeasure.{u2} β) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u2} β (fun (s : Set.{u2} β) => m (Set.preimage.{u1, u2} α β f s)) m_empty)
 but is expected to have type
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} {β : Type.{u2}} (f : α -> β), LE.le.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (Preorder.toLE.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (PartialOrder.toPreorder.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u2} β (fun (s : Set.{u2} β) => m (Set.preimage.{u1, u2} α β f s)) m_empty)
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_of_function_le MeasureTheory.OuterMeasure.map_ofFunction_leₓ'. -/
@@ -1320,7 +1324,7 @@ variable {m}
 
 /- warning: measure_theory.outer_measure.bounded_by_le -> MeasureTheory.OuterMeasure.boundedBy_le is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.boundedBy.{u1} α m) s) (m s)
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.boundedBy.{u1} α m) s) (m s)
 but is expected to have type
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.boundedBy.{u1} α m) s) (m s)
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.bounded_by_le MeasureTheory.OuterMeasure.boundedBy_leₓ'. -/
@@ -1357,7 +1361,7 @@ theorem boundedBy_apply (s : Set α) :
 
 /- warning: measure_theory.outer_measure.bounded_by_eq -> MeasureTheory.OuterMeasure.boundedBy_eq is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} (s : Set.{u1} α), (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (forall {{t : Set.{u1} α}}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s) (m t))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (s i)))) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.boundedBy.{u1} α m) s) (m s))
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} (s : Set.{u1} α), (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (forall {{t : Set.{u1} α}}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) -> (LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s) (m t))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (s i)))) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.boundedBy.{u1} α m) s) (m s))
 but is expected to have type
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} (s : Set.{u1} α), (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (forall {{t : Set.{u1} α}}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s) (m t))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (s i)))) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.boundedBy.{u1} α m) s) (m s))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.bounded_by_eq MeasureTheory.OuterMeasure.boundedBy_eqₓ'. -/
@@ -1375,7 +1379,7 @@ theorem boundedBy_eq_self (m : OuterMeasure α) : boundedBy m = m :=
 
 /- warning: measure_theory.outer_measure.le_bounded_by -> MeasureTheory.OuterMeasure.le_boundedBy is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {μ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) μ (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (forall (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ s) (m s))
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {μ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toHasLe.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) μ (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (forall (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ s) (m s))
 but is expected to have type
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {μ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) μ (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (forall (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α μ s) (m s))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_bounded_by MeasureTheory.OuterMeasure.le_boundedByₓ'. -/
@@ -1387,7 +1391,7 @@ theorem le_boundedBy {μ : OuterMeasure α} : μ ≤ boundedBy m ↔ ∀ s, μ s
 
 /- warning: measure_theory.outer_measure.le_bounded_by' -> MeasureTheory.OuterMeasure.le_bounded_by' is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {μ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) μ (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (forall (s : Set.{u1} α), (Set.Nonempty.{u1} α s) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ s) (m s)))
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {μ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toHasLe.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) μ (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (forall (s : Set.{u1} α), (Set.Nonempty.{u1} α s) -> (LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ s) (m s)))
 but is expected to have type
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {μ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) μ (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (forall (s : Set.{u1} α), (Set.Nonempty.{u1} α s) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α μ s) (m s)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_bounded_by' MeasureTheory.OuterMeasure.le_bounded_by'ₓ'. -/
@@ -1490,7 +1494,7 @@ def IsCaratheodory (s : Set α) : Prop :=
 
 /- warning: measure_theory.outer_measure.is_caratheodory_iff_le' -> MeasureTheory.OuterMeasure.isCaratheodory_iff_le' is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Set.{u1} α}, Iff (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m s) (forall (t : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t s)) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (SDiff.sdiff.{u1} (Set.{u1} α) (BooleanAlgebra.toHasSdiff.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)) t s))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m t))
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Set.{u1} α}, Iff (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m s) (forall (t : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t s)) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (SDiff.sdiff.{u1} (Set.{u1} α) (BooleanAlgebra.toHasSdiff.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)) t s))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m t))
 but is expected to have type
   forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Set.{u1} α}, Iff (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m s) (forall (t : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (SDiff.sdiff.{u1} (Set.{u1} α) (Set.instSDiffSet.{u1} α) t s))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m t))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.is_caratheodory_iff_le' MeasureTheory.OuterMeasure.isCaratheodory_iff_le'ₓ'. -/
@@ -1668,7 +1672,7 @@ theorem isCaratheodory_iff {s : Set α} :
 
 /- warning: measure_theory.outer_measure.is_caratheodory_iff_le -> MeasureTheory.OuterMeasure.isCaratheodory_iff_le is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Set.{u1} α}, Iff (MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α m) s) (forall (t : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t s)) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (SDiff.sdiff.{u1} (Set.{u1} α) (BooleanAlgebra.toHasSdiff.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)) t s))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m t))
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Set.{u1} α}, Iff (MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α m) s) (forall (t : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t s)) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (SDiff.sdiff.{u1} (Set.{u1} α) (BooleanAlgebra.toHasSdiff.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)) t s))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m t))
 but is expected to have type
   forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Set.{u1} α}, Iff (MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α m) s) (forall (t : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (SDiff.sdiff.{u1} (Set.{u1} α) (Set.instSDiffSet.{u1} α) t s))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m t))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.is_caratheodory_iff_le MeasureTheory.OuterMeasure.isCaratheodory_iff_leₓ'. -/
@@ -1695,7 +1699,7 @@ variable {α : Type _}
 
 /- warning: measure_theory.outer_measure.of_function_caratheodory -> MeasureTheory.OuterMeasure.ofFunction_caratheodory is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {s : Set.{u1} α} {h₀ : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))}, (forall (t : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t s)) (m (SDiff.sdiff.{u1} (Set.{u1} α) (BooleanAlgebra.toHasSdiff.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)) t s))) (m t)) -> (MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α (MeasureTheory.OuterMeasure.ofFunction.{u1} α m h₀)) s)
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {s : Set.{u1} α} {h₀ : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))}, (forall (t : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t s)) (m (SDiff.sdiff.{u1} (Set.{u1} α) (BooleanAlgebra.toHasSdiff.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)) t s))) (m t)) -> (MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α (MeasureTheory.OuterMeasure.ofFunction.{u1} α m h₀)) s)
 but is expected to have type
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {s : Set.{u1} α} {h₀ : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))}, (forall (t : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (m (SDiff.sdiff.{u1} (Set.{u1} α) (Set.instSDiffSet.{u1} α) t s))) (m t)) -> (MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α (MeasureTheory.OuterMeasure.ofFunction.{u1} α m h₀)) s)
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.of_function_caratheodory MeasureTheory.OuterMeasure.ofFunction_caratheodoryₓ'. -/
@@ -1720,7 +1724,7 @@ theorem ofFunction_caratheodory {m : Set α → ℝ≥0∞} {s : Set α} {h₀ :
 
 /- warning: measure_theory.outer_measure.bounded_by_caratheodory -> MeasureTheory.OuterMeasure.boundedBy_caratheodory is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {s : Set.{u1} α}, (forall (t : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t s)) (m (SDiff.sdiff.{u1} (Set.{u1} α) (BooleanAlgebra.toHasSdiff.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)) t s))) (m t)) -> (MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) s)
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {s : Set.{u1} α}, (forall (t : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t s)) (m (SDiff.sdiff.{u1} (Set.{u1} α) (BooleanAlgebra.toHasSdiff.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)) t s))) (m t)) -> (MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) s)
 but is expected to have type
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {s : Set.{u1} α}, (forall (t : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (m (SDiff.sdiff.{u1} (Set.{u1} α) (Set.instSDiffSet.{u1} α) t s))) (m t)) -> (MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) s)
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.bounded_by_caratheodory MeasureTheory.OuterMeasure.boundedBy_caratheodoryₓ'. -/
@@ -1956,7 +1960,7 @@ theorem biInf_apply' {ι} (I : Set ι) (m : ι → OuterMeasure α) {s : Set α}
 
 /- warning: measure_theory.outer_measure.map_infi_le -> MeasureTheory.OuterMeasure.map_iInf_le is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {ι : Sort.{u2}} {β : Type.{u3}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), LE.le.{u3} (MeasureTheory.OuterMeasure.{u3} β) (Preorder.toLE.{u3} (MeasureTheory.OuterMeasure.{u3} β) (PartialOrder.toPreorder.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u3} β))) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (iInf.{u3, u2} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) ι (fun (i : ι) => coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (m i)))
+  forall {α : Type.{u1}} {ι : Sort.{u2}} {β : Type.{u3}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), LE.le.{u3} (MeasureTheory.OuterMeasure.{u3} β) (Preorder.toHasLe.{u3} (MeasureTheory.OuterMeasure.{u3} β) (PartialOrder.toPreorder.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u3} β))) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (iInf.{u3, u2} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) ι (fun (i : ι) => coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (m i)))
 but is expected to have type
   forall {α : Type.{u1}} {ι : Sort.{u3}} {β : Type.{u2}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), LE.le.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (iInf.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (Preorder.toLE.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (iInf.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (PartialOrder.toPreorder.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (iInf.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal 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(CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (iInf.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (iInf.{u2, u3} (MeasureTheory.OuterMeasure.{u2} β) (ConditionallyCompleteLattice.toInfSet.{u2} (MeasureTheory.OuterMeasure.{u2} β) (CompleteLattice.toConditionallyCompleteLattice.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} β))) ι (fun (i : ι) => FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal 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(MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (m i)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_infi_le MeasureTheory.OuterMeasure.map_iInf_leₓ'. -/
@@ -2140,7 +2144,7 @@ theorem extend_eq_top {s : α} (h : ¬P s) : extend m s = ∞ := by simp [extend
 
 /- warning: measure_theory.le_extend -> MeasureTheory.le_extend is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {P : α -> Prop} (m : forall (s : α), (P s) -> ENNReal) {s : α} (h : P s), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s h) (MeasureTheory.extend.{u1} α (fun (s : α) => P s) m s)
+  forall {α : Type.{u1}} {P : α -> Prop} (m : forall (s : α), (P s) -> ENNReal) {s : α} (h : P s), LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s h) (MeasureTheory.extend.{u1} α (fun (s : α) => P s) m s)
 but is expected to have type
   forall {α : Type.{u1}} {P : α -> Prop} (m : forall (s : α), (P s) -> ENNReal) {s : α} (h : P s), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s h) (MeasureTheory.extend.{u1} α (fun (s : α) => P s) m s)
 Case conversion may be inaccurate. Consider using '#align measure_theory.le_extend MeasureTheory.le_extendₓ'. -/
@@ -2217,7 +2221,7 @@ include PU msU
 
 /- warning: measure_theory.extend_Union_le_tsum_nat' -> MeasureTheory.extend_iUnion_le_tsum_nat' is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (s i))))
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (s i))))
 but is expected to have type
   forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (s i))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.extend_Union_le_tsum_nat' MeasureTheory.extend_iUnion_le_tsum_nat'ₓ'. -/
@@ -2240,7 +2244,7 @@ include m_mono
 
 /- warning: measure_theory.extend_mono' -> MeasureTheory.extend_mono' is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal}, (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}}, (P s₁) -> (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s₁) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s₂)))
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal}, (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}}, (P s₁) -> (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s₁) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s₂)))
 but is expected to have type
   forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal}, (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}}, (P s₁) -> (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s₁) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s₂)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.extend_mono' MeasureTheory.extend_mono'ₓ'. -/
@@ -2311,7 +2315,7 @@ variable {m P0 m0}
 
 /- warning: measure_theory.le_induced_outer_measure -> MeasureTheory.le_inducedOuterMeasure is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} {μ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) μ (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0)) (forall (s : Set.{u1} α) (hs : P s), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ s) (m s hs))
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} {μ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toHasLe.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) μ (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0)) (forall (s : Set.{u1} α) (hs : P s), LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ s) (m s hs))
 but is expected to have type
   forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} {μ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) μ (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0)) (forall (s : Set.{u1} α) (hs : P s), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α μ s) (m s hs))
 Case conversion may be inaccurate. Consider using '#align measure_theory.le_induced_outer_measure MeasureTheory.le_inducedOuterMeasureₓ'. -/
@@ -2342,7 +2346,7 @@ include msU m_mono
 
 /- warning: measure_theory.induced_outer_measure_eq_extend' -> MeasureTheory.inducedOuterMeasure_eq_extend' is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {s : Set.{u1} α}, (P s) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s)))
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {s : Set.{u1} α}, (P s) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s)))
 but is expected to have type
   forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {s : Set.{u1} α}, (P s) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_eq_extend' MeasureTheory.inducedOuterMeasure_eq_extend'ₓ'. -/
@@ -2353,7 +2357,7 @@ theorem inducedOuterMeasure_eq_extend' {s : Set α} (hs : P s) :
 
 /- warning: measure_theory.induced_outer_measure_eq' -> MeasureTheory.inducedOuterMeasure_eq' is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {s : Set.{u1} α} (hs : P s), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (m s hs))
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {s : Set.{u1} α} (hs : P s), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (m s hs))
 but is expected to have type
   forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {s : Set.{u1} α} (hs : P s), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (m s hs))
 Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_eq' MeasureTheory.inducedOuterMeasure_eq'ₓ'. -/
@@ -2363,7 +2367,7 @@ theorem inducedOuterMeasure_eq' {s : Set α} (hs : P s) : inducedOuterMeasure m
 
 /- warning: measure_theory.induced_outer_measure_eq_infi -> MeasureTheory.inducedOuterMeasure_eq_iInf is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Set.{u1} α) (fun (t : Set.{u1} α) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (P t) (fun (ht : P t) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (fun (h : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) => m t ht)))))
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Set.{u1} α) (fun (t : Set.{u1} α) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (P t) (fun (ht : P t) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (fun (h : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) => m t ht)))))
 but is expected to have type
   forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Set.{u1} α) (fun (t : Set.{u1} α) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (P t) (fun (ht : P t) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) (fun (h : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) => m t ht)))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_eq_infi MeasureTheory.inducedOuterMeasure_eq_iInfₓ'. -/
@@ -2387,7 +2391,7 @@ theorem inducedOuterMeasure_eq_iInf (s : Set α) :
 
 /- warning: measure_theory.induced_outer_measure_preimage -> MeasureTheory.inducedOuterMeasure_preimage is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall (f : Equiv.{succ u1, succ u1} α α) (Pm : forall (s : Set.{u1} α), Iff (P (Set.preimage.{u1, u1} α α (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) (fun (_x : Equiv.{succ u1, succ u1} α α) => α -> α) (Equiv.hasCoeToFun.{succ u1, succ u1} α α) f) s)) (P s)), (forall (s : Set.{u1} α) (hs : P s), Eq.{1} ENNReal (m (Set.preimage.{u1, u1} α α (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) (fun (_x : Equiv.{succ u1, succ u1} α α) => α -> α) (Equiv.hasCoeToFun.{succ u1, succ u1} α α) f) s) (Iff.mpr (P (Set.preimage.{u1, u1} α α (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) (fun (_x : Equiv.{succ u1, succ u1} α α) => α -> α) (Equiv.hasCoeToFun.{succ u1, succ u1} α α) f) s)) (P s) (Pm s) hs)) (m s hs)) -> (forall {A : Set.{u1} α}, Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (Set.preimage.{u1, u1} α α (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) (fun (_x : Equiv.{succ u1, succ u1} α α) => α -> α) (Equiv.hasCoeToFun.{succ u1, succ u1} α α) f) A)) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) A)))
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall (f : Equiv.{succ u1, succ u1} α α) (Pm : forall (s : Set.{u1} α), Iff (P (Set.preimage.{u1, u1} α α (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) (fun (_x : Equiv.{succ u1, succ u1} α α) => α -> α) (Equiv.hasCoeToFun.{succ u1, succ u1} α α) f) s)) (P s)), (forall (s : Set.{u1} α) (hs : P s), Eq.{1} ENNReal (m (Set.preimage.{u1, u1} α α (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) (fun (_x : Equiv.{succ u1, succ u1} α α) => α -> α) (Equiv.hasCoeToFun.{succ u1, succ u1} α α) f) s) (Iff.mpr (P (Set.preimage.{u1, u1} α α (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) (fun (_x : Equiv.{succ u1, succ u1} α α) => α -> α) (Equiv.hasCoeToFun.{succ u1, succ u1} α α) f) s)) (P s) (Pm s) hs)) (m s hs)) -> (forall {A : Set.{u1} α}, Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (Set.preimage.{u1, u1} α α (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) (fun (_x : Equiv.{succ u1, succ u1} α α) => α -> α) (Equiv.hasCoeToFun.{succ u1, succ u1} α α) f) A)) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) A)))
 but is expected to have type
   forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall (f : Equiv.{succ u1, succ u1} α α) (Pm : forall (s : Set.{u1} α), Iff (P (Set.preimage.{u1, u1} α α (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) α (fun (_x : α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : α) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} α α) f) s)) (P s)), (forall (s : Set.{u1} α) (hs : P s), Eq.{1} ENNReal (m (Set.preimage.{u1, u1} α α (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) α (fun (_x : α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : α) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} α α) f) s) (Iff.mpr (P (Set.preimage.{u1, u1} α α (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) α (fun (_x : α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : α) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} α α) f) s)) (P s) (Pm s) hs)) (m s hs)) -> (forall {A : Set.{u1} α}, Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (Set.preimage.{u1, u1} α α (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) α (fun (_x : α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : α) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} α α) f) A)) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) A)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_preimage MeasureTheory.inducedOuterMeasure_preimageₓ'. -/
@@ -2404,7 +2408,7 @@ theorem inducedOuterMeasure_preimage (f : α ≃ α) (Pm : ∀ s : Set α, P (f
 
 /- warning: measure_theory.induced_outer_measure_exists_set -> MeasureTheory.inducedOuterMeasure_exists_set is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {s : Set.{u1} α}, (Ne.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (Top.top.{0} ENNReal (CompleteLattice.toHasTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder)))) -> (forall {ε : ENNReal}, (Ne.{1} ENNReal ε (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (Exists.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => Exists.{0} (P t) (fun (ht : P t) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) t) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) ε)))))))
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {s : Set.{u1} α}, (Ne.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (Top.top.{0} ENNReal (CompleteLattice.toHasTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder)))) -> (forall {ε : ENNReal}, (Ne.{1} ENNReal ε (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (Exists.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => Exists.{0} (P t) (fun (ht : P t) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) t) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) ε)))))))
 but is expected to have type
   forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {s : Set.{u1} α}, (Ne.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (Top.top.{0} ENNReal (CompleteLattice.toTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) -> (forall {ε : ENNReal}, (Ne.{1} ENNReal ε (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (Exists.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => Exists.{0} (P t) (fun (ht : P t) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) t) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) ε)))))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_exists_set MeasureTheory.inducedOuterMeasure_exists_setₓ'. -/
@@ -2425,7 +2429,7 @@ theorem inducedOuterMeasure_exists_set {s : Set α} (hs : inducedOuterMeasure m
 
 /- warning: measure_theory.induced_outer_measure_caratheodory -> MeasureTheory.inducedOuterMeasure_caratheodory is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall (s : Set.{u1} α), Iff (MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0)) s) (forall (t : Set.{u1} α), (P t) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t s)) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (SDiff.sdiff.{u1} (Set.{u1} α) (BooleanAlgebra.toHasSdiff.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)) t s))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) t))))
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall (s : Set.{u1} α), Iff (MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0)) s) (forall (t : Set.{u1} α), (P t) -> (LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t s)) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (SDiff.sdiff.{u1} (Set.{u1} α) (BooleanAlgebra.toHasSdiff.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)) t s))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) t))))
 but is expected to have type
   forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall (s : Set.{u1} α), Iff (MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0)) s) (forall (t : Set.{u1} α), (P t) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (SDiff.sdiff.{u1} (Set.{u1} α) (Set.instSDiffSet.{u1} α) t s))) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) t))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_caratheodory MeasureTheory.inducedOuterMeasure_caratheodoryₓ'. -/
@@ -2481,7 +2485,7 @@ include m0 mU
 
 /- warning: measure_theory.extend_mono -> MeasureTheory.extend_mono is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> ENNReal}, (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) (MeasurableSet.empty.{u1} α _inst_1)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), MeasurableSet.{u1} α _inst_1 (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) f)) -> (Eq.{1} ENNReal (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (MeasurableSet.iUnion.{u1, 1} α Nat _inst_1 Nat.countable (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (MeasurableSet.{u1} α _inst_1 s₁) -> (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m s₁) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m s₂)))
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> ENNReal}, (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) (MeasurableSet.empty.{u1} α _inst_1)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), MeasurableSet.{u1} α _inst_1 (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) f)) -> (Eq.{1} ENNReal (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (MeasurableSet.iUnion.{u1, 1} α Nat _inst_1 Nat.countable (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (MeasurableSet.{u1} α _inst_1 s₁) -> (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m s₁) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m s₂)))
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> ENNReal}, (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) (MeasurableSet.empty.{u1} α _inst_1)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), MeasurableSet.{u1} α _inst_1 (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) f)) -> (Eq.{1} ENNReal (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (MeasurableSet.iUnion.{u1, 1} α Nat _inst_1 instCountableNat (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (MeasurableSet.{u1} α _inst_1 s₁) -> (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m s₁) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m s₂)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.extend_mono MeasureTheory.extend_monoₓ'. -/
@@ -2498,7 +2502,7 @@ theorem extend_mono {s₁ s₂ : Set α} (h₁ : MeasurableSet s₁) (hs : s₁
 
 /- warning: measure_theory.extend_Union_le_tsum_nat -> MeasureTheory.extend_iUnion_le_tsum_nat is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> ENNReal}, (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) (MeasurableSet.empty.{u1} α _inst_1)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), MeasurableSet.{u1} α _inst_1 (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) f)) -> (Eq.{1} ENNReal (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (MeasurableSet.iUnion.{u1, 1} α Nat _inst_1 Nat.countable (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m (s i))))
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> ENNReal}, (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) (MeasurableSet.empty.{u1} α _inst_1)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), MeasurableSet.{u1} α _inst_1 (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) f)) -> (Eq.{1} ENNReal (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (MeasurableSet.iUnion.{u1, 1} α Nat _inst_1 Nat.countable (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m (s i))))
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> ENNReal}, (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) (MeasurableSet.empty.{u1} α _inst_1)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), MeasurableSet.{u1} α _inst_1 (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) f)) -> (Eq.{1} ENNReal (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (MeasurableSet.iUnion.{u1, 1} α Nat _inst_1 instCountableNat (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m (s i))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.extend_Union_le_tsum_nat MeasureTheory.extend_iUnion_le_tsum_natₓ'. -/
@@ -2548,11 +2552,15 @@ def trim : OuterMeasure α :=
 #align measure_theory.outer_measure.trim MeasureTheory.OuterMeasure.trim
 -/
 
-#print MeasureTheory.OuterMeasure.le_trim /-
+/- warning: measure_theory.outer_measure.le_trim -> MeasureTheory.OuterMeasure.le_trim is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] (m : MeasureTheory.OuterMeasure.{u1} α), LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toHasLe.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) m (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m)
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] (m : MeasureTheory.OuterMeasure.{u1} α), LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) m (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m)
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_trim MeasureTheory.OuterMeasure.le_trimₓ'. -/
 theorem le_trim : m ≤ m.trim :=
   le_ofFunction.mpr fun s => le_iInf fun _ => le_rfl
 #align measure_theory.outer_measure.le_trim MeasureTheory.OuterMeasure.le_trim
--/
 
 #print MeasureTheory.OuterMeasure.trim_eq /-
 theorem trim_eq {s : Set α} (hs : MeasurableSet s) : m.trim s = m s :=
@@ -2580,7 +2588,7 @@ theorem trim_mono : Monotone (trim : OuterMeasure α → OuterMeasure α) := fun
 
 /- warning: measure_theory.outer_measure.le_trim_iff -> MeasureTheory.OuterMeasure.le_trim_iff is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m₁ : MeasureTheory.OuterMeasure.{u1} α} {m₂ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) m₁ (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m₂)) (forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m₁ s) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m₂ s)))
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m₁ : MeasureTheory.OuterMeasure.{u1} α} {m₂ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toHasLe.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) m₁ (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m₂)) (forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> (LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m₁ s) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m₂ s)))
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m₁ : MeasureTheory.OuterMeasure.{u1} α} {m₂ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) m₁ (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m₂)) (forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m₁ s) (MeasureTheory.OuterMeasure.measureOf.{u1} α m₂ s)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_trim_iff MeasureTheory.OuterMeasure.le_trim_iffₓ'. -/
@@ -2590,7 +2598,7 @@ theorem le_trim_iff {m₁ m₂ : OuterMeasure α} : m₁ ≤ m₂.trim ↔ ∀ s
 
 /- warning: measure_theory.outer_measure.trim_le_trim_iff -> MeasureTheory.OuterMeasure.trim_le_trim_iff is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m₁ : MeasureTheory.OuterMeasure.{u1} α} {m₂ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m₁) (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m₂)) (forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m₁ s) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m₂ s)))
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m₁ : MeasureTheory.OuterMeasure.{u1} α} {m₂ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toHasLe.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m₁) (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m₂)) (forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> (LE.le.{0} ENNReal (Preorder.toHasLe.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m₁ s) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m₂ s)))
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m₁ : MeasureTheory.OuterMeasure.{u1} α} {m₂ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m₁) (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m₂)) (forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m₁ s) (MeasureTheory.OuterMeasure.measureOf.{u1} α m₂ s)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.trim_le_trim_iff MeasureTheory.OuterMeasure.trim_le_trim_iffₓ'. -/
@@ -2651,14 +2659,18 @@ theorem trim_zero : (0 : OuterMeasure α).trim = 0 :=
 #align measure_theory.outer_measure.trim_zero MeasureTheory.OuterMeasure.trim_zero
 -/
 
-#print MeasureTheory.OuterMeasure.trim_sum_ge /-
+/- warning: measure_theory.outer_measure.trim_sum_ge -> MeasureTheory.OuterMeasure.trim_sum_ge is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {ι : Type.{u2}} (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toHasLe.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) (MeasureTheory.OuterMeasure.sum.{u1, u2} α ι (fun (i : ι) => MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 (m i))) (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 (MeasureTheory.OuterMeasure.sum.{u1, u2} α ι m))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {ι : Type.{u2}} (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) (MeasureTheory.OuterMeasure.sum.{u1, u2} α ι (fun (i : ι) => MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 (m i))) (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 (MeasureTheory.OuterMeasure.sum.{u1, u2} α ι m))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.trim_sum_ge MeasureTheory.OuterMeasure.trim_sum_geₓ'. -/
 theorem trim_sum_ge {ι} (m : ι → OuterMeasure α) : (sum fun i => (m i).trim) ≤ (sum m).trim :=
   fun s => by
   simp [trim_eq_infi] <;>
     exact fun t st ht =>
       ENNReal.tsum_le_tsum fun i => iInf_le_of_le t <| iInf_le_of_le st <| iInf_le _ ht
 #align measure_theory.outer_measure.trim_sum_ge MeasureTheory.OuterMeasure.trim_sum_ge
--/
 
 #print MeasureTheory.OuterMeasure.exists_measurable_superset_eq_trim /-
 theorem exists_measurable_superset_eq_trim (m : OuterMeasure α) (s : Set α) :

mathlib commit https://github.com/leanprover-community/mathlib/commit/e3fb84046afd187b710170887195d50bada934ee

@@ -75,7 +75,7 @@ structure OuterMeasure (α : Type _) where
   measureOf : Set α → ℝ≥0∞
   Empty : measure_of ∅ = 0
   mono : ∀ {s₁ s₂}, s₁ ⊆ s₂ → measure_of s₁ ≤ measure_of s₂
-  unionᵢ_nat : ∀ s : ℕ → Set α, measure_of (⋃ i, s i) ≤ ∑' i, measure_of (s i)
+  iUnion_nat : ∀ s : ℕ → Set α, measure_of (⋃ i, s i) ≤ ∑' i, measure_of (s i)
 #align measure_theory.outer_measure MeasureTheory.OuterMeasure
 -/
 
@@ -135,86 +135,86 @@ theorem pos_of_subset_ne_zero (m : OuterMeasure α) {a b : Set α} (hs : a ⊆ b
   lt_of_lt_of_le (pos_iff_ne_zero.mpr hnz) (m.mono hs)
 #align measure_theory.outer_measure.pos_of_subset_ne_zero MeasureTheory.OuterMeasure.pos_of_subset_ne_zero
 
-/- warning: measure_theory.outer_measure.Union -> MeasureTheory.OuterMeasure.unionᵢ is a dubious translation:
+/- warning: measure_theory.outer_measure.Union -> MeasureTheory.OuterMeasure.iUnion is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {β : Type.{u2}} [_inst_1 : Countable.{succ u2} β] (s : β -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.unionᵢ.{u1, succ u2} α β (fun (i : β) => s i))) (tsum.{0, u2} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace β (fun (i : β) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s i)))
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {β : Type.{u2}} [_inst_1 : Countable.{succ u2} β] (s : β -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.iUnion.{u1, succ u2} α β (fun (i : β) => s i))) (tsum.{0, u2} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace β (fun (i : β) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s i)))
 but is expected to have type
-  forall {α : Type.{u2}} (m : MeasureTheory.OuterMeasure.{u2} α) {β : Type.{u1}} [_inst_1 : Countable.{succ u1} β] (s : β -> (Set.{u2} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u2} α m (Set.unionᵢ.{u2, succ u1} α β (fun (i : β) => s i))) (tsum.{0, u1} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal β (fun (i : β) => MeasureTheory.OuterMeasure.measureOf.{u2} α m (s i)))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Union MeasureTheory.OuterMeasure.unionᵢₓ'. -/
-protected theorem unionᵢ (m : OuterMeasure α) {β} [Countable β] (s : β → Set α) :
+  forall {α : Type.{u2}} (m : MeasureTheory.OuterMeasure.{u2} α) {β : Type.{u1}} [_inst_1 : Countable.{succ u1} β] (s : β -> (Set.{u2} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u2} α m (Set.iUnion.{u2, succ u1} α β (fun (i : β) => s i))) (tsum.{0, u1} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal β (fun (i : β) => MeasureTheory.OuterMeasure.measureOf.{u2} α m (s i)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Union MeasureTheory.OuterMeasure.iUnionₓ'. -/
+protected theorem iUnion (m : OuterMeasure α) {β} [Countable β] (s : β → Set α) :
     m (⋃ i, s i) ≤ ∑' i, m (s i) :=
-  rel_supᵢ_tsum m m.Empty (· ≤ ·) m.unionᵢ_nat s
-#align measure_theory.outer_measure.Union MeasureTheory.OuterMeasure.unionᵢ
+  rel_iSup_tsum m m.Empty (· ≤ ·) m.iUnion_nat s
+#align measure_theory.outer_measure.Union MeasureTheory.OuterMeasure.iUnion
 
-/- warning: measure_theory.outer_measure.Union_null -> MeasureTheory.OuterMeasure.unionᵢ_null is a dubious translation:
+/- warning: measure_theory.outer_measure.Union_null -> MeasureTheory.OuterMeasure.iUnion_null is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : Countable.{succ u2} β] (m : MeasureTheory.OuterMeasure.{u1} α) {s : β -> (Set.{u1} α)}, (forall (i : β), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s i)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.unionᵢ.{u1, succ u2} α β (fun (i : β) => s i))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : Countable.{succ u2} β] (m : MeasureTheory.OuterMeasure.{u1} α) {s : β -> (Set.{u1} α)}, (forall (i : β), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s i)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.iUnion.{u1, succ u2} α β (fun (i : β) => s i))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))
 but is expected to have type
-  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : Countable.{succ u2} β] (m : MeasureTheory.OuterMeasure.{u1} α) {s : β -> (Set.{u1} α)}, (forall (i : β), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (s i)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Set.unionᵢ.{u1, succ u2} α β (fun (i : β) => s i))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Union_null MeasureTheory.OuterMeasure.unionᵢ_nullₓ'. -/
-theorem unionᵢ_null [Countable β] (m : OuterMeasure α) {s : β → Set α} (h : ∀ i, m (s i) = 0) :
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : Countable.{succ u2} β] (m : MeasureTheory.OuterMeasure.{u1} α) {s : β -> (Set.{u1} α)}, (forall (i : β), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (s i)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Set.iUnion.{u1, succ u2} α β (fun (i : β) => s i))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Union_null MeasureTheory.OuterMeasure.iUnion_nullₓ'. -/
+theorem iUnion_null [Countable β] (m : OuterMeasure α) {s : β → Set α} (h : ∀ i, m (s i) = 0) :
     m (⋃ i, s i) = 0 := by simpa [h] using m.Union s
-#align measure_theory.outer_measure.Union_null MeasureTheory.OuterMeasure.unionᵢ_null
+#align measure_theory.outer_measure.Union_null MeasureTheory.OuterMeasure.iUnion_null
 
-/- warning: measure_theory.outer_measure.Union_null_iff -> MeasureTheory.OuterMeasure.unionᵢ_null_iff is a dubious translation:
+/- warning: measure_theory.outer_measure.Union_null_iff -> MeasureTheory.OuterMeasure.iUnion_null_iff is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : Countable.{succ u2} β] (m : MeasureTheory.OuterMeasure.{u1} α) {s : β -> (Set.{u1} α)}, Iff (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.unionᵢ.{u1, succ u2} α β (fun (i : β) => s i))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (forall (i : β), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s i)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : Countable.{succ u2} β] (m : MeasureTheory.OuterMeasure.{u1} α) {s : β -> (Set.{u1} α)}, Iff (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.iUnion.{u1, succ u2} α β (fun (i : β) => s i))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (forall (i : β), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s i)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))
 but is expected to have type
-  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : Countable.{succ u2} β] (m : MeasureTheory.OuterMeasure.{u1} α) {s : β -> (Set.{u1} α)}, Iff (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Set.unionᵢ.{u1, succ u2} α β (fun (i : β) => s i))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (forall (i : β), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (s i)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Union_null_iff MeasureTheory.OuterMeasure.unionᵢ_null_iffₓ'. -/
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : Countable.{succ u2} β] (m : MeasureTheory.OuterMeasure.{u1} α) {s : β -> (Set.{u1} α)}, Iff (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Set.iUnion.{u1, succ u2} α β (fun (i : β) => s i))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (forall (i : β), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (s i)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Union_null_iff MeasureTheory.OuterMeasure.iUnion_null_iffₓ'. -/
 @[simp]
-theorem unionᵢ_null_iff [Countable β] (m : OuterMeasure α) {s : β → Set α} :
+theorem iUnion_null_iff [Countable β] (m : OuterMeasure α) {s : β → Set α} :
     m (⋃ i, s i) = 0 ↔ ∀ i, m (s i) = 0 :=
-  ⟨fun h i => m.mono_null (subset_unionᵢ _ _) h, m.unionᵢ_null⟩
-#align measure_theory.outer_measure.Union_null_iff MeasureTheory.OuterMeasure.unionᵢ_null_iff
+  ⟨fun h i => m.mono_null (subset_iUnion _ _) h, m.iUnion_null⟩
+#align measure_theory.outer_measure.Union_null_iff MeasureTheory.OuterMeasure.iUnion_null_iff
 
-/- warning: measure_theory.outer_measure.Union_null_iff' -> MeasureTheory.OuterMeasure.unionᵢ_null_iff' is a dubious translation:
+/- warning: measure_theory.outer_measure.Union_null_iff' -> MeasureTheory.OuterMeasure.iUnion_null_iff' is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {ι : Prop} {s : ι -> (Set.{u1} α)}, Iff (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.unionᵢ.{u1, 0} α ι (fun (i : ι) => s i))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (forall (i : ι), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s i)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {ι : Prop} {s : ι -> (Set.{u1} α)}, Iff (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.iUnion.{u1, 0} α ι (fun (i : ι) => s i))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (forall (i : ι), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s i)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))
 but is expected to have type
-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {ι : Prop} {s : ι -> (Set.{u1} α)}, Iff (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Set.unionᵢ.{u1, 0} α ι (fun (i : ι) => s i))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (forall (i : ι), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (s i)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Union_null_iff' MeasureTheory.OuterMeasure.unionᵢ_null_iff'ₓ'. -/
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {ι : Prop} {s : ι -> (Set.{u1} α)}, Iff (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Set.iUnion.{u1, 0} α ι (fun (i : ι) => s i))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (forall (i : ι), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (s i)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Union_null_iff' MeasureTheory.OuterMeasure.iUnion_null_iff'ₓ'. -/
 /-- A version of `Union_null_iff` for unions indexed by Props.
 TODO: in the long run it would be better to combine this with `Union_null_iff` by
 generalising to `Sort`. -/
 @[simp]
-theorem unionᵢ_null_iff' (m : OuterMeasure α) {ι : Prop} {s : ι → Set α} :
+theorem iUnion_null_iff' (m : OuterMeasure α) {ι : Prop} {s : ι → Set α} :
     m (⋃ i, s i) = 0 ↔ ∀ i, m (s i) = 0 := by by_cases i : ι <;> simp [i]
-#align measure_theory.outer_measure.Union_null_iff' MeasureTheory.OuterMeasure.unionᵢ_null_iff'
+#align measure_theory.outer_measure.Union_null_iff' MeasureTheory.OuterMeasure.iUnion_null_iff'
 
-/- warning: measure_theory.outer_measure.bUnion_null_iff -> MeasureTheory.OuterMeasure.bunionᵢ_null_iff is a dubious translation:
+/- warning: measure_theory.outer_measure.bUnion_null_iff -> MeasureTheory.OuterMeasure.biUnion_null_iff is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Set.{u2} β}, (Set.Countable.{u2} β s) -> (forall {t : β -> (Set.{u1} α)}, Iff (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.unionᵢ.{u1, succ u2} α β (fun (i : β) => Set.unionᵢ.{u1, 0} α (Membership.Mem.{u2, u2} β (Set.{u2} β) (Set.hasMem.{u2} β) i s) (fun (H : Membership.Mem.{u2, u2} β (Set.{u2} β) (Set.hasMem.{u2} β) i s) => t i)))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (forall (i : β), (Membership.Mem.{u2, u2} β (Set.{u2} β) (Set.hasMem.{u2} β) i s) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (t i)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))))
+  forall {α : Type.{u1}} {β : Type.{u2}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Set.{u2} β}, (Set.Countable.{u2} β s) -> (forall {t : β -> (Set.{u1} α)}, Iff (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.iUnion.{u1, succ u2} α β (fun (i : β) => Set.iUnion.{u1, 0} α (Membership.Mem.{u2, u2} β (Set.{u2} β) (Set.hasMem.{u2} β) i s) (fun (H : Membership.Mem.{u2, u2} β (Set.{u2} β) (Set.hasMem.{u2} β) i s) => t i)))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (forall (i : β), (Membership.Mem.{u2, u2} β (Set.{u2} β) (Set.hasMem.{u2} β) i s) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (t i)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))))
 but is expected to have type
-  forall {α : Type.{u2}} {β : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u2} α) {s : Set.{u1} β}, (Set.Countable.{u1} β s) -> (forall {t : β -> (Set.{u2} α)}, Iff (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u2} α m (Set.unionᵢ.{u2, succ u1} α β (fun (i : β) => Set.unionᵢ.{u2, 0} α (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) i s) (fun (H : Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) i s) => t i)))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (forall (i : β), (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) i s) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u2} α m (t i)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.bUnion_null_iff MeasureTheory.OuterMeasure.bunionᵢ_null_iffₓ'. -/
-theorem bunionᵢ_null_iff (m : OuterMeasure α) {s : Set β} (hs : s.Countable) {t : β → Set α} :
+  forall {α : Type.{u2}} {β : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u2} α) {s : Set.{u1} β}, (Set.Countable.{u1} β s) -> (forall {t : β -> (Set.{u2} α)}, Iff (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u2} α m (Set.iUnion.{u2, succ u1} α β (fun (i : β) => Set.iUnion.{u2, 0} α (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) i s) (fun (H : Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) i s) => t i)))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (forall (i : β), (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) i s) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u2} α m (t i)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.bUnion_null_iff MeasureTheory.OuterMeasure.biUnion_null_iffₓ'. -/
+theorem biUnion_null_iff (m : OuterMeasure α) {s : Set β} (hs : s.Countable) {t : β → Set α} :
     m (⋃ i ∈ s, t i) = 0 ↔ ∀ i ∈ s, m (t i) = 0 :=
   by
   haveI := hs.to_encodable
   rw [bUnion_eq_Union, Union_null_iff, SetCoe.forall']
-#align measure_theory.outer_measure.bUnion_null_iff MeasureTheory.OuterMeasure.bunionᵢ_null_iff
+#align measure_theory.outer_measure.bUnion_null_iff MeasureTheory.OuterMeasure.biUnion_null_iff
 
-/- warning: measure_theory.outer_measure.sUnion_null_iff -> MeasureTheory.OuterMeasure.unionₛ_null_iff is a dubious translation:
+/- warning: measure_theory.outer_measure.sUnion_null_iff -> MeasureTheory.OuterMeasure.sUnion_null_iff is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {S : Set.{u1} (Set.{u1} α)}, (Set.Countable.{u1} (Set.{u1} α) S) -> (Iff (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.unionₛ.{u1} α S)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (forall (s : Set.{u1} α), (Membership.Mem.{u1, u1} (Set.{u1} α) (Set.{u1} (Set.{u1} α)) (Set.hasMem.{u1} (Set.{u1} α)) s S) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m s) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))))
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {S : Set.{u1} (Set.{u1} α)}, (Set.Countable.{u1} (Set.{u1} α) S) -> (Iff (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.sUnion.{u1} α S)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (forall (s : Set.{u1} α), (Membership.Mem.{u1, u1} (Set.{u1} α) (Set.{u1} (Set.{u1} α)) (Set.hasMem.{u1} (Set.{u1} α)) s S) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m s) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))))
 but is expected to have type
-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {S : Set.{u1} (Set.{u1} α)}, (Set.Countable.{u1} (Set.{u1} α) S) -> (Iff (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Set.unionₛ.{u1} α S)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (forall (s : Set.{u1} α), (Membership.mem.{u1, u1} (Set.{u1} α) (Set.{u1} (Set.{u1} α)) (Set.instMembershipSet.{u1} (Set.{u1} α)) s S) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m s) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.sUnion_null_iff MeasureTheory.OuterMeasure.unionₛ_null_iffₓ'. -/
-theorem unionₛ_null_iff (m : OuterMeasure α) {S : Set (Set α)} (hS : S.Countable) :
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {S : Set.{u1} (Set.{u1} α)}, (Set.Countable.{u1} (Set.{u1} α) S) -> (Iff (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Set.sUnion.{u1} α S)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (forall (s : Set.{u1} α), (Membership.mem.{u1, u1} (Set.{u1} α) (Set.{u1} (Set.{u1} α)) (Set.instMembershipSet.{u1} (Set.{u1} α)) s S) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m s) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.sUnion_null_iff MeasureTheory.OuterMeasure.sUnion_null_iffₓ'. -/
+theorem sUnion_null_iff (m : OuterMeasure α) {S : Set (Set α)} (hS : S.Countable) :
     m (⋃₀ S) = 0 ↔ ∀ s ∈ S, m s = 0 := by rw [sUnion_eq_bUnion, m.bUnion_null_iff hS]
-#align measure_theory.outer_measure.sUnion_null_iff MeasureTheory.OuterMeasure.unionₛ_null_iff
+#align measure_theory.outer_measure.sUnion_null_iff MeasureTheory.OuterMeasure.sUnion_null_iff
 
-/- warning: measure_theory.outer_measure.Union_finset -> MeasureTheory.OuterMeasure.unionᵢ_finset is a dubious translation:
+/- warning: measure_theory.outer_measure.Union_finset -> MeasureTheory.OuterMeasure.iUnion_finset is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} (m : MeasureTheory.OuterMeasure.{u1} α) (s : β -> (Set.{u1} α)) (t : Finset.{u2} β), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.unionᵢ.{u1, succ u2} α β (fun (i : β) => Set.unionᵢ.{u1, 0} α (Membership.Mem.{u2, u2} β (Finset.{u2} β) (Finset.hasMem.{u2} β) i t) (fun (H : Membership.Mem.{u2, u2} β (Finset.{u2} β) (Finset.hasMem.{u2} β) i t) => s i)))) (Finset.sum.{0, u2} ENNReal β (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) t (fun (i : β) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s i)))
+  forall {α : Type.{u1}} {β : Type.{u2}} (m : MeasureTheory.OuterMeasure.{u1} α) (s : β -> (Set.{u1} α)) (t : Finset.{u2} β), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.iUnion.{u1, succ u2} α β (fun (i : β) => Set.iUnion.{u1, 0} α (Membership.Mem.{u2, u2} β (Finset.{u2} β) (Finset.hasMem.{u2} β) i t) (fun (H : Membership.Mem.{u2, u2} β (Finset.{u2} β) (Finset.hasMem.{u2} β) i t) => s i)))) (Finset.sum.{0, u2} ENNReal β (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) t (fun (i : β) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s i)))
 but is expected to have type
-  forall {α : Type.{u2}} {β : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u2} α) (s : β -> (Set.{u2} α)) (t : Finset.{u1} β), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u2} α m (Set.unionᵢ.{u2, succ u1} α β (fun (i : β) => Set.unionᵢ.{u2, 0} α (Membership.mem.{u1, u1} β (Finset.{u1} β) (Finset.instMembershipFinset.{u1} β) i t) (fun (H : Membership.mem.{u1, u1} β (Finset.{u1} β) (Finset.instMembershipFinset.{u1} β) i t) => s i)))) (Finset.sum.{0, u1} ENNReal β (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) t (fun (i : β) => MeasureTheory.OuterMeasure.measureOf.{u2} α m (s i)))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Union_finset MeasureTheory.OuterMeasure.unionᵢ_finsetₓ'. -/
-protected theorem unionᵢ_finset (m : OuterMeasure α) (s : β → Set α) (t : Finset β) :
+  forall {α : Type.{u2}} {β : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u2} α) (s : β -> (Set.{u2} α)) (t : Finset.{u1} β), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u2} α m (Set.iUnion.{u2, succ u1} α β (fun (i : β) => Set.iUnion.{u2, 0} α (Membership.mem.{u1, u1} β (Finset.{u1} β) (Finset.instMembershipFinset.{u1} β) i t) (fun (H : Membership.mem.{u1, u1} β (Finset.{u1} β) (Finset.instMembershipFinset.{u1} β) i t) => s i)))) (Finset.sum.{0, u1} ENNReal β (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) t (fun (i : β) => MeasureTheory.OuterMeasure.measureOf.{u2} α m (s i)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Union_finset MeasureTheory.OuterMeasure.iUnion_finsetₓ'. -/
+protected theorem iUnion_finset (m : OuterMeasure α) (s : β → Set α) (t : Finset β) :
     m (⋃ i ∈ t, s i) ≤ ∑ i in t, m (s i) :=
-  rel_supᵢ_sum m m.Empty (· ≤ ·) m.unionᵢ_nat s t
-#align measure_theory.outer_measure.Union_finset MeasureTheory.OuterMeasure.unionᵢ_finset
+  rel_iSup_sum m m.Empty (· ≤ ·) m.iUnion_nat s t
+#align measure_theory.outer_measure.Union_finset MeasureTheory.OuterMeasure.iUnion_finset
 
 /- warning: measure_theory.outer_measure.union -> MeasureTheory.OuterMeasure.union is a dubious translation:
 lean 3 declaration is
@@ -223,7 +223,7 @@ but is expected to have type
   forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) (s₁ : Set.{u1} α) (s₂ : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Union.union.{u1} (Set.{u1} α) (Set.instUnionSet.{u1} α) s₁ s₂)) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m s₁) (MeasureTheory.OuterMeasure.measureOf.{u1} α m s₂))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.union MeasureTheory.OuterMeasure.unionₓ'. -/
 protected theorem union (m : OuterMeasure α) (s₁ s₂ : Set α) : m (s₁ ∪ s₂) ≤ m s₁ + m s₂ :=
-  rel_sup_add m m.Empty (· ≤ ·) m.unionᵢ_nat s₁ s₂
+  rel_sup_add m m.Empty (· ≤ ·) m.iUnion_nat s₁ s₂
 #align measure_theory.outer_measure.union MeasureTheory.OuterMeasure.union
 
 /- warning: measure_theory.outer_measure.null_of_locally_null -> MeasureTheory.OuterMeasure.null_of_locally_null is a dubious translation:
@@ -260,41 +260,41 @@ theorem exists_mem_forall_mem_nhds_within_pos [TopologicalSpace α] [SecondCount
   exact m.null_of_locally_null s hs
 #align measure_theory.outer_measure.exists_mem_forall_mem_nhds_within_pos MeasureTheory.OuterMeasure.exists_mem_forall_mem_nhds_within_pos
 
-/- warning: measure_theory.outer_measure.Union_of_tendsto_zero -> MeasureTheory.OuterMeasure.unionᵢ_of_tendsto_zero is a dubious translation:
+/- warning: measure_theory.outer_measure.Union_of_tendsto_zero -> MeasureTheory.OuterMeasure.iUnion_of_tendsto_zero is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {ι : Type.{u2}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : ι -> (Set.{u1} α)} (l : Filter.{u2} ι) [_inst_1 : Filter.NeBot.{u2} ι l], (Filter.Tendsto.{u2, 0} ι ENNReal (fun (k : ι) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (SDiff.sdiff.{u1} (Set.{u1} α) (BooleanAlgebra.toHasSdiff.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)) (Set.unionᵢ.{u1, succ u2} α ι (fun (n : ι) => s n)) (s k))) l (nhds.{0} ENNReal ENNReal.topologicalSpace (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.unionᵢ.{u1, succ u2} α ι (fun (n : ι) => s n))) (supᵢ.{0, succ u2} ENNReal (ConditionallyCompleteLattice.toHasSup.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) ι (fun (n : ι) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s n))))
+  forall {α : Type.{u1}} {ι : Type.{u2}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : ι -> (Set.{u1} α)} (l : Filter.{u2} ι) [_inst_1 : Filter.NeBot.{u2} ι l], (Filter.Tendsto.{u2, 0} ι ENNReal (fun (k : ι) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (SDiff.sdiff.{u1} (Set.{u1} α) (BooleanAlgebra.toHasSdiff.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)) (Set.iUnion.{u1, succ u2} α ι (fun (n : ι) => s n)) (s k))) l (nhds.{0} ENNReal ENNReal.topologicalSpace (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.iUnion.{u1, succ u2} α ι (fun (n : ι) => s n))) (iSup.{0, succ u2} ENNReal (ConditionallyCompleteLattice.toHasSup.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) ι (fun (n : ι) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s n))))
 but is expected to have type
-  forall {α : Type.{u1}} {ι : Type.{u2}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : ι -> (Set.{u1} α)} (l : Filter.{u2} ι) [_inst_1 : Filter.NeBot.{u2} ι l], (Filter.Tendsto.{u2, 0} ι ENNReal (fun (k : ι) => MeasureTheory.OuterMeasure.measureOf.{u1} α m (SDiff.sdiff.{u1} (Set.{u1} α) (Set.instSDiffSet.{u1} α) (Set.unionᵢ.{u1, succ u2} α ι (fun (n : ι) => s n)) (s k))) l (nhds.{0} ENNReal ENNReal.instTopologicalSpaceENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Set.unionᵢ.{u1, succ u2} α ι (fun (n : ι) => s n))) (supᵢ.{0, succ u2} ENNReal (ConditionallyCompleteLattice.toSupSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) ι (fun (n : ι) => MeasureTheory.OuterMeasure.measureOf.{u1} α m (s n))))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Union_of_tendsto_zero MeasureTheory.OuterMeasure.unionᵢ_of_tendsto_zeroₓ'. -/
+  forall {α : Type.{u1}} {ι : Type.{u2}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : ι -> (Set.{u1} α)} (l : Filter.{u2} ι) [_inst_1 : Filter.NeBot.{u2} ι l], (Filter.Tendsto.{u2, 0} ι ENNReal (fun (k : ι) => MeasureTheory.OuterMeasure.measureOf.{u1} α m (SDiff.sdiff.{u1} (Set.{u1} α) (Set.instSDiffSet.{u1} α) (Set.iUnion.{u1, succ u2} α ι (fun (n : ι) => s n)) (s k))) l (nhds.{0} ENNReal ENNReal.instTopologicalSpaceENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Set.iUnion.{u1, succ u2} α ι (fun (n : ι) => s n))) (iSup.{0, succ u2} ENNReal (ConditionallyCompleteLattice.toSupSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) ι (fun (n : ι) => MeasureTheory.OuterMeasure.measureOf.{u1} α m (s n))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Union_of_tendsto_zero MeasureTheory.OuterMeasure.iUnion_of_tendsto_zeroₓ'. -/
 /-- If `s : ι → set α` is a sequence of sets, `S = ⋃ n, s n`, and `m (S \ s n)` tends to zero along
 some nontrivial filter (usually `at_top` on `ι = ℕ`), then `m S = ⨆ n, m (s n)`. -/
-theorem unionᵢ_of_tendsto_zero {ι} (m : OuterMeasure α) {s : ι → Set α} (l : Filter ι) [NeBot l]
+theorem iUnion_of_tendsto_zero {ι} (m : OuterMeasure α) {s : ι → Set α} (l : Filter ι) [NeBot l]
     (h0 : Tendsto (fun k => m ((⋃ n, s n) \ s k)) l (𝓝 0)) : m (⋃ n, s n) = ⨆ n, m (s n) :=
   by
   set S := ⋃ n, s n
   set M := ⨆ n, m (s n)
   have hsS : ∀ {k}, s k ⊆ S := fun k => subset_Union _ _
-  refine' le_antisymm _ (supᵢ_le fun n => m.mono hsS)
+  refine' le_antisymm _ (iSup_le fun n => m.mono hsS)
   have A : ∀ k, m S ≤ M + m (S \ s k) := fun k =>
     calc
       m S = m (s k ∪ S \ s k) := by rw [union_diff_self, union_eq_self_of_subset_left hsS]
       _ ≤ m (s k) + m (S \ s k) := (m.union _ _)
-      _ ≤ M + m (S \ s k) := add_le_add_right (le_supᵢ _ k) _
+      _ ≤ M + m (S \ s k) := add_le_add_right (le_iSup _ k) _
       
   have B : tendsto (fun k => M + m (S \ s k)) l (𝓝 (M + 0)) := tendsto_const_nhds.add h0
   rw [add_zero] at B
   exact ge_of_tendsto' B A
-#align measure_theory.outer_measure.Union_of_tendsto_zero MeasureTheory.OuterMeasure.unionᵢ_of_tendsto_zero
+#align measure_theory.outer_measure.Union_of_tendsto_zero MeasureTheory.OuterMeasure.iUnion_of_tendsto_zero
 
-/- warning: measure_theory.outer_measure.Union_nat_of_monotone_of_tsum_ne_top -> MeasureTheory.OuterMeasure.unionᵢ_nat_of_monotone_of_tsum_ne_top is a dubious translation:
+/- warning: measure_theory.outer_measure.Union_nat_of_monotone_of_tsum_ne_top -> MeasureTheory.OuterMeasure.iUnion_nat_of_monotone_of_tsum_ne_top is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Nat -> (Set.{u1} α)}, (forall (n : Nat), HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) (s n) (s (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) -> (Ne.{1} ENNReal (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (k : Nat) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (SDiff.sdiff.{u1} (Set.{u1} α) (BooleanAlgebra.toHasSdiff.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)) (s (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) k (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (s k)))) (Top.top.{0} ENNReal (CompleteLattice.toHasTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder)))) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.unionᵢ.{u1, 1} α Nat (fun (n : Nat) => s n))) (supᵢ.{0, 1} ENNReal (ConditionallyCompleteLattice.toHasSup.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) Nat (fun (n : Nat) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s n))))
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Nat -> (Set.{u1} α)}, (forall (n : Nat), HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) (s n) (s (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) -> (Ne.{1} ENNReal (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (k : Nat) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (SDiff.sdiff.{u1} (Set.{u1} α) (BooleanAlgebra.toHasSdiff.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)) (s (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) k (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (s k)))) (Top.top.{0} ENNReal (CompleteLattice.toHasTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder)))) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.iUnion.{u1, 1} α Nat (fun (n : Nat) => s n))) (iSup.{0, 1} ENNReal (ConditionallyCompleteLattice.toHasSup.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) Nat (fun (n : Nat) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s n))))
 but is expected to have type
-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Nat -> (Set.{u1} α)}, (forall (n : Nat), HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) (s n) (s (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) -> (Ne.{1} ENNReal (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (k : Nat) => MeasureTheory.OuterMeasure.measureOf.{u1} α m (SDiff.sdiff.{u1} (Set.{u1} α) (Set.instSDiffSet.{u1} α) (s (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) k (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (s k)))) (Top.top.{0} ENNReal (CompleteLattice.toTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) -> (forall [inst._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.2629 : forall (i : Nat), DecidablePred.{succ u1} α (fun (x._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.2641 : α) => Membership.mem.{u1, u1} α (Set.{u1} α) (Set.instMembershipSet.{u1} α) x._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.2641 (s i))], Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Set.unionᵢ.{u1, 1} α Nat (fun (n : Nat) => s n))) (supᵢ.{0, 1} ENNReal (ConditionallyCompleteLattice.toSupSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) Nat (fun (n : Nat) => MeasureTheory.OuterMeasure.measureOf.{u1} α m (s n))))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Union_nat_of_monotone_of_tsum_ne_top MeasureTheory.OuterMeasure.unionᵢ_nat_of_monotone_of_tsum_ne_topₓ'. -/
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Nat -> (Set.{u1} α)}, (forall (n : Nat), HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) (s n) (s (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) -> (Ne.{1} ENNReal (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (k : Nat) => MeasureTheory.OuterMeasure.measureOf.{u1} α m (SDiff.sdiff.{u1} (Set.{u1} α) (Set.instSDiffSet.{u1} α) (s (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) k (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (s k)))) (Top.top.{0} ENNReal (CompleteLattice.toTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) -> (forall [inst._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.2629 : forall (i : Nat), DecidablePred.{succ u1} α (fun (x._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.2641 : α) => Membership.mem.{u1, u1} α (Set.{u1} α) (Set.instMembershipSet.{u1} α) x._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.2641 (s i))], Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Set.iUnion.{u1, 1} α Nat (fun (n : Nat) => s n))) (iSup.{0, 1} ENNReal (ConditionallyCompleteLattice.toSupSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) Nat (fun (n : Nat) => MeasureTheory.OuterMeasure.measureOf.{u1} α m (s n))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Union_nat_of_monotone_of_tsum_ne_top MeasureTheory.OuterMeasure.iUnion_nat_of_monotone_of_tsum_ne_topₓ'. -/
 /-- If `s : ℕ → set α` is a monotone sequence of sets such that `∑' k, m (s (k + 1) \ s k) ≠ ∞`,
 then `m (⋃ n, s n) = ⨆ n, m (s n)`. -/
-theorem unionᵢ_nat_of_monotone_of_tsum_ne_top (m : OuterMeasure α) {s : ℕ → Set α}
+theorem iUnion_nat_of_monotone_of_tsum_ne_top (m : OuterMeasure α) {s : ℕ → Set α}
     (h_mono : ∀ n, s n ⊆ s (n + 1)) (h0 : (∑' k, m (s (k + 1) \ s k)) ≠ ∞) :
     m (⋃ n, s n) = ⨆ n, m (s n) :=
   by
@@ -313,7 +313,7 @@ theorem unionᵢ_nat_of_monotone_of_tsum_ne_top (m : OuterMeasure α) {s : ℕ 
   refine' Or.inr (mem_Union.2 ⟨j - (n + 1), _, hlt _ _⟩)
   · rwa [this]
   · rw [← Nat.succ_le_iff, Nat.succ_eq_add_one, this]
-#align measure_theory.outer_measure.Union_nat_of_monotone_of_tsum_ne_top MeasureTheory.OuterMeasure.unionᵢ_nat_of_monotone_of_tsum_ne_top
+#align measure_theory.outer_measure.Union_nat_of_monotone_of_tsum_ne_top MeasureTheory.OuterMeasure.iUnion_nat_of_monotone_of_tsum_ne_top
 
 /- warning: measure_theory.outer_measure.le_inter_add_diff -> MeasureTheory.OuterMeasure.le_inter_add_diff is a dubious translation:
 lean 3 declaration is
@@ -383,7 +383,7 @@ instance : Zero (OuterMeasure α) :=
   ⟨{  measureOf := fun _ => 0
       Empty := rfl
       mono := fun _ _ _ => le_refl 0
-      unionᵢ_nat := fun s => zero_le _ }⟩
+      iUnion_nat := fun s => zero_le _ }⟩
 
 /- warning: measure_theory.outer_measure.coe_zero -> MeasureTheory.OuterMeasure.coe_zero is a dubious translation:
 lean 3 declaration is
@@ -404,10 +404,10 @@ instance : Add (OuterMeasure α) :=
     { measureOf := fun s => m₁ s + m₂ s
       Empty := show m₁ ∅ + m₂ ∅ = 0 by simp [outer_measure.empty]
       mono := fun s₁ s₂ h => add_le_add (m₁.mono h) (m₂.mono h)
-      unionᵢ_nat := fun s =>
+      iUnion_nat := fun s =>
         calc
           m₁ (⋃ i, s i) + m₂ (⋃ i, s i) ≤ (∑' i, m₁ (s i)) + ∑' i, m₂ (s i) :=
-            add_le_add (m₁.unionᵢ_nat s) (m₂.unionᵢ_nat s)
+            add_le_add (m₁.iUnion_nat s) (m₂.iUnion_nat s)
           _ = _ := ENNReal.tsum_add.symm
            }⟩
 
@@ -445,7 +445,7 @@ instance : SMul R (OuterMeasure α) :=
       mono := fun s t h => by
         rw [← smul_one_mul c (m s), ← smul_one_mul c (m t)]
         exact ENNReal.mul_left_mono (m.mono h)
-      unionᵢ_nat := fun s =>
+      iUnion_nat := fun s =>
         by
         simp_rw [← smul_one_mul c (m _), ENNReal.tsum_mul_left]
         exact ENNReal.mul_left_mono (m.Union _) }⟩
@@ -549,54 +549,54 @@ section Supremum
 instance : SupSet (OuterMeasure α) :=
   ⟨fun ms =>
     { measureOf := fun s => ⨆ m ∈ ms, (m : OuterMeasure α) s
-      Empty := nonpos_iff_eq_zero.1 <| supᵢ₂_le fun m h => le_of_eq m.Empty
-      mono := fun s₁ s₂ hs => supᵢ₂_mono fun m hm => m.mono hs
-      unionᵢ_nat := fun f =>
-        supᵢ₂_le fun m hm =>
+      Empty := nonpos_iff_eq_zero.1 <| iSup₂_le fun m h => le_of_eq m.Empty
+      mono := fun s₁ s₂ hs => iSup₂_mono fun m hm => m.mono hs
+      iUnion_nat := fun f =>
+        iSup₂_le fun m hm =>
           calc
-            m (⋃ i, f i) ≤ ∑' i : ℕ, m (f i) := m.unionᵢ_nat _
+            m (⋃ i, f i) ≤ ∑' i : ℕ, m (f i) := m.iUnion_nat _
             _ ≤ ∑' i, ⨆ m ∈ ms, (m : OuterMeasure α) (f i) :=
-              ENNReal.tsum_le_tsum fun i => le_supᵢ₂ m hm
+              ENNReal.tsum_le_tsum fun i => le_iSup₂ m hm
              }⟩
 
 instance : CompleteLattice (OuterMeasure α) :=
   { OuterMeasure.orderBot,
     completeLatticeOfSup (OuterMeasure α) fun ms =>
-      ⟨fun m hm s => le_supᵢ₂ m hm, fun m hm s => supᵢ₂_le fun m' hm' => hm hm' s⟩ with }
+      ⟨fun m hm s => le_iSup₂ m hm, fun m hm s => iSup₂_le fun m' hm' => hm hm' s⟩ with }
 
-/- warning: measure_theory.outer_measure.Sup_apply -> MeasureTheory.OuterMeasure.supₛ_apply is a dubious translation:
+/- warning: measure_theory.outer_measure.Sup_apply -> MeasureTheory.OuterMeasure.sSup_apply is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} (ms : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (SupSet.supₛ.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ms) s) (supᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasSup.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (MeasureTheory.OuterMeasure.{u1} α) (fun (m : MeasureTheory.OuterMeasure.{u1} α) => supᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasSup.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Membership.Mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.hasMem.{u1} (MeasureTheory.OuterMeasure.{u1} α)) m ms) (fun (H : Membership.Mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.hasMem.{u1} (MeasureTheory.OuterMeasure.{u1} α)) m ms) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m s)))
+  forall {α : Type.{u1}} (ms : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (SupSet.sSup.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ms) s) (iSup.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasSup.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (MeasureTheory.OuterMeasure.{u1} α) (fun (m : MeasureTheory.OuterMeasure.{u1} α) => iSup.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasSup.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Membership.Mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.hasMem.{u1} (MeasureTheory.OuterMeasure.{u1} α)) m ms) (fun (H : Membership.Mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.hasMem.{u1} (MeasureTheory.OuterMeasure.{u1} α)) m ms) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m s)))
 but is expected to have type
-  forall {α : Type.{u1}} (ms : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (SupSet.supₛ.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ms) s) (supᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toSupSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (MeasureTheory.OuterMeasure.{u1} α) (fun (m : MeasureTheory.OuterMeasure.{u1} α) => supᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toSupSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Membership.mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.instMembershipSet.{u1} (MeasureTheory.OuterMeasure.{u1} α)) m ms) (fun (H : Membership.mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.instMembershipSet.{u1} (MeasureTheory.OuterMeasure.{u1} α)) m ms) => MeasureTheory.OuterMeasure.measureOf.{u1} α m s)))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Sup_apply MeasureTheory.OuterMeasure.supₛ_applyₓ'. -/
+  forall {α : Type.{u1}} (ms : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (SupSet.sSup.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ms) s) (iSup.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toSupSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (MeasureTheory.OuterMeasure.{u1} α) (fun (m : MeasureTheory.OuterMeasure.{u1} α) => iSup.{0, 0} ENNReal (ConditionallyCompleteLattice.toSupSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Membership.mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.instMembershipSet.{u1} (MeasureTheory.OuterMeasure.{u1} α)) m ms) (fun (H : Membership.mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.instMembershipSet.{u1} (MeasureTheory.OuterMeasure.{u1} α)) m ms) => MeasureTheory.OuterMeasure.measureOf.{u1} α m s)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Sup_apply MeasureTheory.OuterMeasure.sSup_applyₓ'. -/
 @[simp]
-theorem supₛ_apply (ms : Set (OuterMeasure α)) (s : Set α) :
-    (supₛ ms) s = ⨆ m ∈ ms, (m : OuterMeasure α) s :=
+theorem sSup_apply (ms : Set (OuterMeasure α)) (s : Set α) :
+    (sSup ms) s = ⨆ m ∈ ms, (m : OuterMeasure α) s :=
   rfl
-#align measure_theory.outer_measure.Sup_apply MeasureTheory.OuterMeasure.supₛ_apply
+#align measure_theory.outer_measure.Sup_apply MeasureTheory.OuterMeasure.sSup_apply
 
-/- warning: measure_theory.outer_measure.supr_apply -> MeasureTheory.OuterMeasure.supᵢ_apply is a dubious translation:
+/- warning: measure_theory.outer_measure.supr_apply -> MeasureTheory.OuterMeasure.iSup_apply is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {ι : Sort.{u2}} (f : ι -> (MeasureTheory.OuterMeasure.{u1} α)) (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (supᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => f i)) s) (supᵢ.{0, u2} ENNReal (ConditionallyCompleteLattice.toHasSup.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) ι (fun (i : ι) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (f i) s))
+  forall {α : Type.{u1}} {ι : Sort.{u2}} (f : ι -> (MeasureTheory.OuterMeasure.{u1} α)) (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (iSup.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => f i)) s) (iSup.{0, u2} ENNReal (ConditionallyCompleteLattice.toHasSup.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) ι (fun (i : ι) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (f i) s))
 but is expected to have type
-  forall {α : Type.{u1}} {ι : Sort.{u2}} (f : ι -> (MeasureTheory.OuterMeasure.{u1} α)) (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (supᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => f i)) s) (supᵢ.{0, u2} ENNReal (ConditionallyCompleteLattice.toSupSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) ι (fun (i : ι) => MeasureTheory.OuterMeasure.measureOf.{u1} α (f i) s))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.supr_apply MeasureTheory.OuterMeasure.supᵢ_applyₓ'. -/
+  forall {α : Type.{u1}} {ι : Sort.{u2}} (f : ι -> (MeasureTheory.OuterMeasure.{u1} α)) (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (iSup.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => f i)) s) (iSup.{0, u2} ENNReal (ConditionallyCompleteLattice.toSupSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) ι (fun (i : ι) => MeasureTheory.OuterMeasure.measureOf.{u1} α (f i) s))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.supr_apply MeasureTheory.OuterMeasure.iSup_applyₓ'. -/
 @[simp]
-theorem supᵢ_apply {ι} (f : ι → OuterMeasure α) (s : Set α) : (⨆ i : ι, f i) s = ⨆ i, f i s := by
-  rw [supᵢ, supₛ_apply, supᵢ_range, supᵢ]
-#align measure_theory.outer_measure.supr_apply MeasureTheory.OuterMeasure.supᵢ_apply
+theorem iSup_apply {ι} (f : ι → OuterMeasure α) (s : Set α) : (⨆ i : ι, f i) s = ⨆ i, f i s := by
+  rw [iSup, sSup_apply, iSup_range, iSup]
+#align measure_theory.outer_measure.supr_apply MeasureTheory.OuterMeasure.iSup_apply
 
-/- warning: measure_theory.outer_measure.coe_supr -> MeasureTheory.OuterMeasure.coe_supᵢ is a dubious translation:
+/- warning: measure_theory.outer_measure.coe_supr -> MeasureTheory.OuterMeasure.coe_iSup is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {ι : Sort.{u2}} (f : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((Set.{u1} α) -> ENNReal) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (supᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => f i))) (supᵢ.{u1, u2} ((Set.{u1} α) -> ENNReal) (Pi.supSet.{u1, 0} (Set.{u1} α) (fun (ᾰ : Set.{u1} α) => ENNReal) (fun (i : Set.{u1} α) => ConditionallyCompleteLattice.toHasSup.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder)))) ι (fun (i : ι) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (f i)))
+  forall {α : Type.{u1}} {ι : Sort.{u2}} (f : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((Set.{u1} α) -> ENNReal) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (iSup.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => f i))) (iSup.{u1, u2} ((Set.{u1} α) -> ENNReal) (Pi.supSet.{u1, 0} (Set.{u1} α) (fun (ᾰ : Set.{u1} α) => ENNReal) (fun (i : Set.{u1} α) => ConditionallyCompleteLattice.toHasSup.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder)))) ι (fun (i : ι) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (f i)))
 but is expected to have type
-  forall {α : Type.{u1}} {ι : Sort.{u2}} (f : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.measureOf.{u1} α (supᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => f i))) (supᵢ.{u1, u2} ((Set.{u1} α) -> ENNReal) (Pi.supSet.{u1, 0} (Set.{u1} α) (fun (ᾰ : Set.{u1} α) => ENNReal) (fun (i : Set.{u1} α) => ConditionallyCompleteLattice.toSupSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) ι (fun (i : ι) => MeasureTheory.OuterMeasure.measureOf.{u1} α (f i)))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.coe_supr MeasureTheory.OuterMeasure.coe_supᵢₓ'. -/
+  forall {α : Type.{u1}} {ι : Sort.{u2}} (f : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.measureOf.{u1} α (iSup.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => f i))) (iSup.{u1, u2} ((Set.{u1} α) -> ENNReal) (Pi.supSet.{u1, 0} (Set.{u1} α) (fun (ᾰ : Set.{u1} α) => ENNReal) (fun (i : Set.{u1} α) => ConditionallyCompleteLattice.toSupSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) ι (fun (i : ι) => MeasureTheory.OuterMeasure.measureOf.{u1} α (f i)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.coe_supr MeasureTheory.OuterMeasure.coe_iSupₓ'. -/
 @[norm_cast]
-theorem coe_supᵢ {ι} (f : ι → OuterMeasure α) : ⇑(⨆ i, f i) = ⨆ i, f i :=
-  funext fun s => by rw [supᵢ_apply, _root_.supr_apply]
-#align measure_theory.outer_measure.coe_supr MeasureTheory.OuterMeasure.coe_supᵢ
+theorem coe_iSup {ι} (f : ι → OuterMeasure α) : ⇑(⨆ i, f i) = ⨆ i, f i :=
+  funext fun s => by rw [iSup_apply, _root_.supr_apply]
+#align measure_theory.outer_measure.coe_supr MeasureTheory.OuterMeasure.coe_iSup
 
 /- warning: measure_theory.outer_measure.sup_apply -> MeasureTheory.OuterMeasure.sup_apply is a dubious translation:
 lean 3 declaration is
@@ -606,19 +606,19 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.sup_apply MeasureTheory.OuterMeasure.sup_applyₓ'. -/
 @[simp]
 theorem sup_apply (m₁ m₂ : OuterMeasure α) (s : Set α) : (m₁ ⊔ m₂) s = m₁ s ⊔ m₂ s := by
-  have := supᵢ_apply (fun b => cond b m₁ m₂) s <;> rwa [supᵢ_bool_eq, supᵢ_bool_eq] at this
+  have := iSup_apply (fun b => cond b m₁ m₂) s <;> rwa [iSup_bool_eq, iSup_bool_eq] at this
 #align measure_theory.outer_measure.sup_apply MeasureTheory.OuterMeasure.sup_apply
 
-/- warning: measure_theory.outer_measure.smul_supr -> MeasureTheory.OuterMeasure.smul_supᵢ is a dubious translation:
+/- warning: measure_theory.outer_measure.smul_supr -> MeasureTheory.OuterMeasure.smul_iSup is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {R : Type.{u2}} [_inst_1 : SMul.{u2, 0} R ENNReal] [_inst_2 : IsScalarTower.{u2, 0, 0} R ENNReal ENNReal _inst_1 (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) _inst_1] {ι : Sort.{u3}} (f : ι -> (MeasureTheory.OuterMeasure.{u1} α)) (c : R), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (SMul.smul.{u2, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.hasSmul.{u1, u2} α R _inst_1 _inst_2) c (supᵢ.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => f i))) (supᵢ.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => SMul.smul.{u2, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.hasSmul.{u1, u2} α R _inst_1 _inst_2) c (f i)))
+  forall {α : Type.{u1}} {R : Type.{u2}} [_inst_1 : SMul.{u2, 0} R ENNReal] [_inst_2 : IsScalarTower.{u2, 0, 0} R ENNReal ENNReal _inst_1 (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) _inst_1] {ι : Sort.{u3}} (f : ι -> (MeasureTheory.OuterMeasure.{u1} α)) (c : R), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (SMul.smul.{u2, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.hasSmul.{u1, u2} α R _inst_1 _inst_2) c (iSup.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => f i))) (iSup.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => SMul.smul.{u2, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.hasSmul.{u1, u2} α R _inst_1 _inst_2) c (f i)))
 but is expected to have type
-  forall {α : Type.{u1}} {R : Type.{u3}} [_inst_1 : SMul.{u3, 0} R ENNReal] [_inst_2 : IsScalarTower.{u3, 0, 0} R ENNReal ENNReal _inst_1 (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) _inst_1] {ι : Sort.{u2}} (f : ι -> (MeasureTheory.OuterMeasure.{u1} α)) (c : R), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (HSMul.hSMul.{u3, u1, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (instHSMul.{u3, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSMul.{u1, u3} α R _inst_1 _inst_2)) c (supᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => f i))) (supᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => HSMul.hSMul.{u3, u1, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (instHSMul.{u3, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSMul.{u1, u3} α R _inst_1 _inst_2)) c (f i)))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.smul_supr MeasureTheory.OuterMeasure.smul_supᵢₓ'. -/
-theorem smul_supᵢ [SMul R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞] {ι} (f : ι → OuterMeasure α) (c : R) :
+  forall {α : Type.{u1}} {R : Type.{u3}} [_inst_1 : SMul.{u3, 0} R ENNReal] [_inst_2 : IsScalarTower.{u3, 0, 0} R ENNReal ENNReal _inst_1 (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) _inst_1] {ι : Sort.{u2}} (f : ι -> (MeasureTheory.OuterMeasure.{u1} α)) (c : R), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (HSMul.hSMul.{u3, u1, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (instHSMul.{u3, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSMul.{u1, u3} α R _inst_1 _inst_2)) c (iSup.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => f i))) (iSup.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => HSMul.hSMul.{u3, u1, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (instHSMul.{u3, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSMul.{u1, u3} α R _inst_1 _inst_2)) c (f i)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.smul_supr MeasureTheory.OuterMeasure.smul_iSupₓ'. -/
+theorem smul_iSup [SMul R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞] {ι} (f : ι → OuterMeasure α) (c : R) :
     (c • ⨆ i, f i) = ⨆ i, c • f i :=
-  ext fun s => by simp only [smul_apply, supᵢ_apply, ENNReal.smul_supᵢ]
-#align measure_theory.outer_measure.smul_supr MeasureTheory.OuterMeasure.smul_supᵢ
+  ext fun s => by simp only [smul_apply, iSup_apply, ENNReal.smul_iSup]
+#align measure_theory.outer_measure.smul_supr MeasureTheory.OuterMeasure.smul_iSup
 
 end Supremum
 
@@ -647,7 +647,7 @@ def map {β} (f : α → β) : OuterMeasure α →ₗ[ℝ≥0∞] OuterMeasure 
     { measureOf := fun s => m (f ⁻¹' s)
       Empty := m.Empty
       mono := fun s t h => m.mono (preimage_mono h)
-      unionᵢ_nat := fun s => by rw [preimage_Union] <;> exact m.Union_nat fun i => f ⁻¹' s i }
+      iUnion_nat := fun s => by rw [preimage_Union] <;> exact m.Union_nat fun i => f ⁻¹' s i }
   map_add' m₁ m₂ := coe_fn_injective rfl
   map_smul' c m := coe_fn_injective rfl
 #align measure_theory.outer_measure.map MeasureTheory.OuterMeasure.map
@@ -707,16 +707,16 @@ theorem map_sup {β} (f : α → β) (m m' : OuterMeasure α) : map f (m ⊔ m')
   ext fun s => by simp only [map_apply, sup_apply]
 #align measure_theory.outer_measure.map_sup MeasureTheory.OuterMeasure.map_sup
 
-/- warning: measure_theory.outer_measure.map_supr -> MeasureTheory.OuterMeasure.map_supᵢ is a dubious translation:
+/- warning: measure_theory.outer_measure.map_supr -> MeasureTheory.OuterMeasure.map_iSup is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} {ι : Sort.{u3}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u2} (MeasureTheory.OuterMeasure.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (supᵢ.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => m i))) (supᵢ.{u2, u3} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instSupSet.{u2} β) ι (fun (i : ι) => coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (m i)))
+  forall {α : Type.{u1}} {β : Type.{u2}} {ι : Sort.{u3}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u2} (MeasureTheory.OuterMeasure.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (iSup.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => m i))) (iSup.{u2, u3} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instSupSet.{u2} β) ι (fun (i : ι) => coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (m i)))
 but is expected to have type
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(CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u3} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} 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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} 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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_supr MeasureTheory.OuterMeasure.map_supᵢₓ'. -/
+  forall {α : Type.{u1}} {β : Type.{u3}} {ι : Sort.{u2}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u3} β) (iSup.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => m i))) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} 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+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_supr MeasureTheory.OuterMeasure.map_iSupₓ'. -/
 @[simp]
-theorem map_supᵢ {β ι} (f : α → β) (m : ι → OuterMeasure α) : map f (⨆ i, m i) = ⨆ i, map f (m i) :=
-  ext fun s => by simp only [map_apply, supᵢ_apply]
-#align measure_theory.outer_measure.map_supr MeasureTheory.OuterMeasure.map_supᵢ
+theorem map_iSup {β ι} (f : α → β) (m : ι → OuterMeasure α) : map f (⨆ i, m i) = ⨆ i, map f (m i) :=
+  ext fun s => by simp only [map_apply, iSup_apply]
+#align measure_theory.outer_measure.map_supr MeasureTheory.OuterMeasure.map_iSup
 
 instance : Functor OuterMeasure where map α β f := map f
 
@@ -732,9 +732,9 @@ def dirac (a : α) : OuterMeasure α
   measureOf s := indicator s (fun _ => 1) a
   Empty := by simp
   mono s t h := indicator_le_indicator_of_subset h (fun _ => zero_le _) a
-  unionᵢ_nat s :=
+  iUnion_nat s :=
     if hs : a ∈ ⋃ n, s n then
-      let ⟨i, hi⟩ := mem_unionᵢ.1 hs
+      let ⟨i, hi⟩ := mem_iUnion.1 hs
       calc
         indicator (⋃ n, s n) (fun _ => (1 : ℝ≥0∞)) a = 1 := indicator_of_mem hs _
         _ = indicator (s i) (fun _ => 1) a := (indicator_of_mem hi _).symm
@@ -762,8 +762,8 @@ def sum {ι} (f : ι → OuterMeasure α) : OuterMeasure α
   measureOf s := ∑' i, f i s
   Empty := by simp
   mono s t h := ENNReal.tsum_le_tsum fun i => (f i).mono' h
-  unionᵢ_nat s := by
-    rw [ENNReal.tsum_comm] <;> exact ENNReal.tsum_le_tsum fun i => (f i).unionᵢ_nat _
+  iUnion_nat s := by
+    rw [ENNReal.tsum_comm] <;> exact ENNReal.tsum_le_tsum fun i => (f i).iUnion_nat _
 #align measure_theory.outer_measure.sum MeasureTheory.OuterMeasure.sum
 -/
 
@@ -802,7 +802,7 @@ def comap {β} (f : α → β) : OuterMeasure β →ₗ[ℝ≥0∞] OuterMeasure
     { measureOf := fun s => m (f '' s)
       Empty := by simp
       mono := fun s t h => m.mono <| image_subset f h
-      unionᵢ_nat := fun s => by
+      iUnion_nat := fun s => by
         rw [image_Union]
         apply m.Union_nat }
   map_add' m₁ m₂ := rfl
@@ -830,17 +830,17 @@ Case conversion may be inaccurate. Consider using '#align measure_theory.outer_m
 theorem comap_mono {β} (f : α → β) : Monotone (comap f) := fun m m' h s => h _
 #align measure_theory.outer_measure.comap_mono MeasureTheory.OuterMeasure.comap_mono
 
-/- warning: measure_theory.outer_measure.comap_supr -> MeasureTheory.OuterMeasure.comap_supᵢ is a dubious translation:
+/- warning: measure_theory.outer_measure.comap_supr -> MeasureTheory.OuterMeasure.comap_iSup is a dubious translation:
 lean 3 declaration is
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ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (m i)))
+  forall {α : Type.{u1}} {β : Type.{u2}} {ι : Sort.{u3}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u2} β)), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (iSup.{u2, u3} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instSupSet.{u2} β) ι (fun (i : ι) => m i))) (iSup.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (m i)))
 but is expected to have type
-  forall {α : Type.{u1}} {β : Type.{u3}} {ι : Sort.{u2}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u3} β)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u3} β) => MeasureTheory.OuterMeasure.{u1} α) (supᵢ.{u3, u2} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instSupSet.{u3} β) ι (fun (i : ι) => m i))) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} 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-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_supr MeasureTheory.OuterMeasure.comap_supᵢₓ'. -/
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+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_supr MeasureTheory.OuterMeasure.comap_iSupₓ'. -/
 @[simp]
-theorem comap_supᵢ {β ι} (f : α → β) (m : ι → OuterMeasure β) :
+theorem comap_iSup {β ι} (f : α → β) (m : ι → OuterMeasure β) :
     comap f (⨆ i, m i) = ⨆ i, comap f (m i) :=
-  ext fun s => by simp only [comap_apply, supᵢ_apply]
-#align measure_theory.outer_measure.comap_supr MeasureTheory.OuterMeasure.comap_supᵢ
+  ext fun s => by simp only [comap_apply, iSup_apply]
+#align measure_theory.outer_measure.comap_supr MeasureTheory.OuterMeasure.comap_iSup
 
 /- warning: measure_theory.outer_measure.restrict -> MeasureTheory.OuterMeasure.restrict is a dubious translation:
 lean 3 declaration is
@@ -900,16 +900,16 @@ theorem restrict_empty (m : OuterMeasure α) : restrict ∅ m = 0 :=
   ext fun s => by simp
 #align measure_theory.outer_measure.restrict_empty MeasureTheory.OuterMeasure.restrict_empty
 
-/- warning: measure_theory.outer_measure.restrict_supr -> MeasureTheory.OuterMeasure.restrict_supᵢ is a dubious translation:
+/- warning: measure_theory.outer_measure.restrict_supr -> MeasureTheory.OuterMeasure.restrict_iSup is a dubious translation:
 lean 3 declaration is
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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) 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(Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (supᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => m i))) (supᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) 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(MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iSup.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => m i))) (iSup.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))
 but is expected to have type
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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (supᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => m i))) (supᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_supr MeasureTheory.OuterMeasure.restrict_supᵢₓ'. -/
+  forall {α : Type.{u1}} {ι : Sort.{u2}} (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (iSup.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => m i))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iSup.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => m i))) (iSup.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_supr MeasureTheory.OuterMeasure.restrict_iSupₓ'. -/
 @[simp]
-theorem restrict_supᵢ {ι} (s : Set α) (m : ι → OuterMeasure α) :
+theorem restrict_iSup {ι} (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨆ i, m i) = ⨆ i, restrict s (m i) := by simp [restrict]
-#align measure_theory.outer_measure.restrict_supr MeasureTheory.OuterMeasure.restrict_supᵢ
+#align measure_theory.outer_measure.restrict_supr MeasureTheory.OuterMeasure.restrict_iSup
 
 /- warning: measure_theory.outer_measure.map_comap -> MeasureTheory.OuterMeasure.map_comap is a dubious translation:
 lean 3 declaration is
@@ -993,14 +993,14 @@ Case conversion may be inaccurate. Consider using '#align measure_theory.outer_m
 @[simp]
 theorem top_apply {s : Set α} (h : s.Nonempty) : (⊤ : OuterMeasure α) s = ∞ :=
   let ⟨a, as⟩ := h
-  top_unique <| le_trans (by simp [smul_dirac_apply, as]) (le_supᵢ₂ (∞ • dirac a) trivial)
+  top_unique <| le_trans (by simp [smul_dirac_apply, as]) (le_iSup₂ (∞ • dirac a) trivial)
 #align measure_theory.outer_measure.top_apply MeasureTheory.OuterMeasure.top_apply
 
 /- warning: measure_theory.outer_measure.top_apply' -> MeasureTheory.OuterMeasure.top_apply' is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toHasTop.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) s) (infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Eq.{succ u1} (Set.{u1} α) s (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (fun (h : Eq.{succ u1} (Set.{u1} α) s (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) => OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))
+  forall {α : Type.{u1}} (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toHasTop.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) s) (iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Eq.{succ u1} (Set.{u1} α) s (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (fun (h : Eq.{succ u1} (Set.{u1} α) s (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) => OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))
 but is expected to have type
-  forall {α : Type.{u1}} (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toTop.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) s) (infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Eq.{succ u1} (Set.{u1} α) s (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (fun (h : Eq.{succ u1} (Set.{u1} α) s (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) => OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))
+  forall {α : Type.{u1}} (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toTop.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) s) (iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Eq.{succ u1} (Set.{u1} α) s (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (fun (h : Eq.{succ u1} (Set.{u1} α) s (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) => OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.top_apply' MeasureTheory.OuterMeasure.top_apply'ₓ'. -/
 theorem top_apply' (s : Set α) : (⊤ : OuterMeasure α) s = ⨅ h : s = ∅, 0 :=
   s.eq_empty_or_nonempty.elim (fun h => by simp [h]) fun h => by simp [h, h.ne_empty]
@@ -1063,10 +1063,10 @@ protected def ofFunction : OuterMeasure α :=
   { measureOf := μ
     Empty :=
       le_antisymm
-        ((infᵢ_le_of_le fun _ => ∅) <| infᵢ_le_of_le (empty_subset _) <| by simp [m_empty])
+        ((iInf_le_of_le fun _ => ∅) <| iInf_le_of_le (empty_subset _) <| by simp [m_empty])
         (zero_le _)
-    mono := fun s₁ s₂ hs => infᵢ_mono fun f => infᵢ_mono' fun hb => ⟨hs.trans hb, le_rfl⟩
-    unionᵢ_nat := fun s =>
+    mono := fun s₁ s₂ hs => iInf_mono fun f => iInf_mono' fun hb => ⟨hs.trans hb, le_rfl⟩
+    iUnion_nat := fun s =>
       ENNReal.le_of_forall_pos_le_add <|
         by
         intro ε hε(hb : (∑' i, μ (s i)) < ∞)
@@ -1080,11 +1080,11 @@ protected def ofFunction : OuterMeasure α :=
             have : μ (s i) < μ (s i) + ε' i :=
               ENNReal.lt_add_right (ne_top_of_le_ne_top hb.ne <| ENNReal.le_tsum _)
                 (by simpa using (hε' i).ne')
-            simpa [μ, infᵢ_lt_iff]
+            simpa [μ, iInf_lt_iff]
         refine' le_trans _ (ENNReal.tsum_le_tsum fun i => le_of_lt (hf i).2)
         rw [← ENNReal.tsum_prod, ← nat.mkpair_equiv.symm.tsum_eq]
         swap; · infer_instance
-        refine' infᵢ_le_of_le _ (infᵢ_le _ _)
+        refine' iInf_le_of_le _ (iInf_le _ _)
         exact
           Union_subset fun i =>
             subset.trans (hf i).1 <|
@@ -1094,12 +1094,12 @@ protected def ofFunction : OuterMeasure α :=
 
 /- warning: measure_theory.outer_measure.of_function_apply -> MeasureTheory.OuterMeasure.ofFunction_apply is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} (m : (Set.{u1} α) -> ENNReal) (m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (n : Nat) => m (t n)))))
+  forall {α : Type.{u1}} (m : (Set.{u1} α) -> ENNReal) (m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) s) (iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) (fun (h : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (n : Nat) => m (t n)))))
 but is expected to have type
-  forall {α : Type.{u1}} (m : (Set.{u1} α) -> ENNReal) (m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (n : Nat) => m (t n)))))
+  forall {α : Type.{u1}} (m : (Set.{u1} α) -> ENNReal) (m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) s) (iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) (fun (h : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (n : Nat) => m (t n)))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.of_function_apply MeasureTheory.OuterMeasure.ofFunction_applyₓ'. -/
 theorem ofFunction_apply (s : Set α) :
-    OuterMeasure.ofFunction m m_empty s = ⨅ (t : ℕ → Set α) (h : s ⊆ unionᵢ t), ∑' n, m (t n) :=
+    OuterMeasure.ofFunction m m_empty s = ⨅ (t : ℕ → Set α) (h : s ⊆ iUnion t), ∑' n, m (t n) :=
   rfl
 #align measure_theory.outer_measure.of_function_apply MeasureTheory.OuterMeasure.ofFunction_apply
 
@@ -1113,22 +1113,22 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.of_function_le MeasureTheory.OuterMeasure.ofFunction_leₓ'. -/
 theorem ofFunction_le (s : Set α) : OuterMeasure.ofFunction m m_empty s ≤ m s :=
   let f : ℕ → Set α := fun i => Nat.casesOn i s fun _ => ∅
-  infᵢ_le_of_le f <|
-    infᵢ_le_of_le (subset_unionᵢ f 0) <|
+  iInf_le_of_le f <|
+    iInf_le_of_le (subset_iUnion f 0) <|
       le_of_eq <| tsum_eq_single 0 <| by rintro (_ | i) <;> simp [f, m_empty]
 #align measure_theory.outer_measure.of_function_le MeasureTheory.OuterMeasure.ofFunction_le
 
 /- warning: measure_theory.outer_measure.of_function_eq -> MeasureTheory.OuterMeasure.ofFunction_eq is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (s : Set.{u1} α), (forall {{t : Set.{u1} α}}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s) (m t))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (s i)))) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) s) (m s))
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (s : Set.{u1} α), (forall {{t : Set.{u1} α}}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s) (m t))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (s i)))) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) s) (m s))
 but is expected to have type
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (s : Set.{u1} α), (forall {{t : Set.{u1} α}}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s) (m t))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (s i)))) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) s) (m s))
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (s : Set.{u1} α), (forall {{t : Set.{u1} α}}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s) (m t))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (s i)))) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) s) (m s))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.of_function_eq MeasureTheory.OuterMeasure.ofFunction_eqₓ'. -/
 theorem ofFunction_eq (s : Set α) (m_mono : ∀ ⦃t : Set α⦄, s ⊆ t → m s ≤ m t)
     (m_subadd : ∀ s : ℕ → Set α, m (⋃ i, s i) ≤ ∑' i, m (s i)) :
     OuterMeasure.ofFunction m m_empty s = m s :=
   le_antisymm (ofFunction_le s) <|
-    le_infᵢ fun f => le_infᵢ fun hf => le_trans (m_mono hf) (m_subadd f)
+    le_iInf fun f => le_iInf fun hf => le_trans (m_mono hf) (m_subadd f)
 #align measure_theory.outer_measure.of_function_eq MeasureTheory.OuterMeasure.ofFunction_eq
 
 /- warning: measure_theory.outer_measure.le_of_function -> MeasureTheory.OuterMeasure.le_ofFunction is a dubious translation:
@@ -1140,9 +1140,9 @@ Case conversion may be inaccurate. Consider using '#align measure_theory.outer_m
 theorem le_ofFunction {μ : OuterMeasure α} :
     μ ≤ OuterMeasure.ofFunction m m_empty ↔ ∀ s, μ s ≤ m s :=
   ⟨fun H s => le_trans (H s) (ofFunction_le s), fun H s =>
-    le_infᵢ fun f =>
-      le_infᵢ fun hs =>
-        le_trans (μ.mono hs) <| le_trans (μ.unionᵢ f) <| ENNReal.tsum_le_tsum fun i => H _⟩
+    le_iInf fun f =>
+      le_iInf fun hs =>
+        le_trans (μ.mono hs) <| le_trans (μ.iUnion f) <| ENNReal.tsum_le_tsum fun i => H _⟩
 #align measure_theory.outer_measure.le_of_function MeasureTheory.OuterMeasure.le_ofFunction
 
 /- warning: measure_theory.outer_measure.is_greatest_of_function -> MeasureTheory.OuterMeasure.isGreatest_ofFunction is a dubious translation:
@@ -1156,15 +1156,15 @@ theorem isGreatest_ofFunction :
   ⟨fun s => ofFunction_le _, fun μ => le_ofFunction.2⟩
 #align measure_theory.outer_measure.is_greatest_of_function MeasureTheory.OuterMeasure.isGreatest_ofFunction
 
-/- warning: measure_theory.outer_measure.of_function_eq_Sup -> MeasureTheory.OuterMeasure.ofFunction_eq_supₛ is a dubious translation:
+/- warning: measure_theory.outer_measure.of_function_eq_Sup -> MeasureTheory.OuterMeasure.ofFunction_eq_sSup is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))}, Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) (SupSet.supₛ.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) (setOf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => forall (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ s) (m s))))
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))}, Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) (SupSet.sSup.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) (setOf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => forall (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ s) (m s))))
 but is expected to have type
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))}, Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) (SupSet.supₛ.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) (setOf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => forall (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α μ s) (m s))))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.of_function_eq_Sup MeasureTheory.OuterMeasure.ofFunction_eq_supₛₓ'. -/
-theorem ofFunction_eq_supₛ : OuterMeasure.ofFunction m m_empty = supₛ { μ | ∀ s, μ s ≤ m s } :=
-  (@isGreatest_ofFunction α m m_empty).IsLUB.supₛ_eq.symm
-#align measure_theory.outer_measure.of_function_eq_Sup MeasureTheory.OuterMeasure.ofFunction_eq_supₛ
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))}, Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) (SupSet.sSup.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) (setOf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => forall (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α μ s) (m s))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.of_function_eq_Sup MeasureTheory.OuterMeasure.ofFunction_eq_sSupₓ'. -/
+theorem ofFunction_eq_sSup : OuterMeasure.ofFunction m m_empty = sSup { μ | ∀ s, μ s ≤ m s } :=
+  (@isGreatest_ofFunction α m m_empty).IsLUB.sSup_eq.symm
+#align measure_theory.outer_measure.of_function_eq_Sup MeasureTheory.OuterMeasure.ofFunction_eq_sSup
 
 /- warning: measure_theory.outer_measure.of_function_union_of_top_of_nonempty_inter -> MeasureTheory.OuterMeasure.ofFunction_union_of_top_of_nonempty_inter is a dubious translation:
 lean 3 declaration is
@@ -1184,7 +1184,7 @@ theorem ofFunction_union_of_top_of_nonempty_inter {s t : Set α}
     OuterMeasure.ofFunction m m_empty (s ∪ t) =
       OuterMeasure.ofFunction m m_empty s + OuterMeasure.ofFunction m m_empty t :=
   by
-  refine' le_antisymm (outer_measure.union _ _ _) (le_infᵢ fun f => le_infᵢ fun hf => _)
+  refine' le_antisymm (outer_measure.union _ _ _) (le_iInf fun f => le_iInf fun hf => _)
   set μ := outer_measure.of_function m m_empty
   rcases em (∃ i, (s ∩ f i).Nonempty ∧ (t ∩ f i).Nonempty) with (⟨i, hs, ht⟩ | he)
   ·
@@ -1230,8 +1230,8 @@ theorem comap_ofFunction {β} (f : β → α) (h : Monotone m ∨ Surjective f)
   · rw [comap_apply]
     apply of_function_le
   · rw [comap_apply, of_function_apply, of_function_apply]
-    refine' infᵢ_mono' fun t => ⟨fun k => f ⁻¹' t k, _⟩
-    refine' infᵢ_mono' fun ht => _
+    refine' iInf_mono' fun t => ⟨fun k => f ⁻¹' t k, _⟩
+    refine' iInf_mono' fun ht => _
     rw [Set.image_subset_iff, preimage_Union] at ht
     refine' ⟨ht, ENNReal.tsum_le_tsum fun n => _⟩
     cases h
@@ -1263,9 +1263,9 @@ theorem map_ofFunction {β} {f : α → β} (hf : Injective f) :
       OuterMeasure.ofFunction (fun s => m (f ⁻¹' s)) m_empty :=
   by
   refine' (map_of_function_le _).antisymm fun s => _
-  simp only [of_function_apply, map_apply, le_infᵢ_iff]
+  simp only [of_function_apply, map_apply, le_iInf_iff]
   intro t ht
-  refine' infᵢ_le_of_le (fun n => range fᶜ ∪ f '' t n) (infᵢ_le_of_le _ _)
+  refine' iInf_le_of_le (fun n => range fᶜ ∪ f '' t n) (iInf_le_of_le _ _)
   · rw [← union_Union, ← inter_subset, ← image_preimage_eq_inter_range, ← image_Union]
     exact image_subset _ ht
   · refine' ENNReal.tsum_le_tsum fun n => le_of_eq _
@@ -1298,7 +1298,7 @@ theorem smul_ofFunction {c : ℝ≥0∞} (hc : c ≠ ∞) :
   ext1 s
   haveI : Nonempty { t : ℕ → Set α // s ⊆ ⋃ i, t i } := ⟨⟨fun _ => s, subset_Union (fun _ => s) 0⟩⟩
   simp only [smul_apply, of_function_apply, ENNReal.tsum_mul_left, Pi.smul_apply, smul_eq_mul,
-    infᵢ_subtype', ENNReal.infᵢ_mul_left fun h => (hc h).elim]
+    iInf_subtype', ENNReal.iInf_mul_left fun h => (hc h).elim]
 #align measure_theory.outer_measure.smul_of_function MeasureTheory.OuterMeasure.smul_ofFunction
 
 end OfFunction
@@ -1325,7 +1325,7 @@ but is expected to have type
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.boundedBy.{u1} α m) s) (m s)
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.bounded_by_le MeasureTheory.OuterMeasure.boundedBy_leₓ'. -/
 theorem boundedBy_le (s : Set α) : boundedBy m s ≤ m s :=
-  (ofFunction_le _).trans supᵢ_const_le
+  (ofFunction_le _).trans iSup_const_le
 #align measure_theory.outer_measure.bounded_by_le MeasureTheory.OuterMeasure.boundedBy_le
 
 /- warning: measure_theory.outer_measure.bounded_by_eq_of_function -> MeasureTheory.OuterMeasure.boundedBy_eq_ofFunction is a dubious translation:
@@ -1346,20 +1346,20 @@ theorem boundedBy_eq_ofFunction (m_empty : m ∅ = 0) (s : Set α) :
 
 /- warning: measure_theory.outer_measure.bounded_by_apply -> MeasureTheory.OuterMeasure.boundedBy_apply is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.boundedBy.{u1} α m) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (n : Nat) => supᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasSup.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Set.Nonempty.{u1} α (t n)) (fun (h : Set.Nonempty.{u1} α (t n)) => m (t n))))))
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.boundedBy.{u1} α m) s) (iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) (fun (h : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (n : Nat) => iSup.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasSup.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Set.Nonempty.{u1} α (t n)) (fun (h : Set.Nonempty.{u1} α (t n)) => m (t n))))))
 but is expected to have type
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.boundedBy.{u1} α m) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (n : Nat) => supᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toSupSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Set.Nonempty.{u1} α (t n)) (fun (h : Set.Nonempty.{u1} α (t n)) => m (t n))))))
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.boundedBy.{u1} α m) s) (iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) (fun (h : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (n : Nat) => iSup.{0, 0} ENNReal (ConditionallyCompleteLattice.toSupSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Set.Nonempty.{u1} α (t n)) (fun (h : Set.Nonempty.{u1} α (t n)) => m (t n))))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.bounded_by_apply MeasureTheory.OuterMeasure.boundedBy_applyₓ'. -/
 theorem boundedBy_apply (s : Set α) :
-    boundedBy m s = ⨅ (t : ℕ → Set α) (h : s ⊆ unionᵢ t), ∑' n, ⨆ h : (t n).Nonempty, m (t n) := by
+    boundedBy m s = ⨅ (t : ℕ → Set α) (h : s ⊆ iUnion t), ∑' n, ⨆ h : (t n).Nonempty, m (t n) := by
   simp [bounded_by, of_function_apply]
 #align measure_theory.outer_measure.bounded_by_apply MeasureTheory.OuterMeasure.boundedBy_apply
 
 /- warning: measure_theory.outer_measure.bounded_by_eq -> MeasureTheory.OuterMeasure.boundedBy_eq is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} (s : Set.{u1} α), (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (forall {{t : Set.{u1} α}}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s) (m t))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (s i)))) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.boundedBy.{u1} α m) s) (m s))
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} (s : Set.{u1} α), (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (forall {{t : Set.{u1} α}}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s) (m t))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (s i)))) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.boundedBy.{u1} α m) s) (m s))
 but is expected to have type
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} (s : Set.{u1} α), (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (forall {{t : Set.{u1} α}}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s) (m t))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (s i)))) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.boundedBy.{u1} α m) s) (m s))
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} (s : Set.{u1} α), (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (forall {{t : Set.{u1} α}}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s) (m t))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (s i)))) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.boundedBy.{u1} α m) s) (m s))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.bounded_by_eq MeasureTheory.OuterMeasure.boundedBy_eqₓ'. -/
 theorem boundedBy_eq (s : Set α) (m_empty : m ∅ = 0) (m_mono : ∀ ⦃t : Set α⦄, s ⊆ t → m s ≤ m t)
     (m_subadd : ∀ s : ℕ → Set α, m (⋃ i, s i) ≤ ∑' i, m (s i)) : boundedBy m s = m s := by
@@ -1369,7 +1369,7 @@ theorem boundedBy_eq (s : Set α) (m_empty : m ∅ = 0) (m_mono : ∀ ⦃t : Set
 #print MeasureTheory.OuterMeasure.boundedBy_eq_self /-
 @[simp]
 theorem boundedBy_eq_self (m : OuterMeasure α) : boundedBy m = m :=
-  ext fun s => boundedBy_eq _ m.empty' (fun t ht => m.mono' ht) m.unionᵢ
+  ext fun s => boundedBy_eq _ m.empty' (fun t ht => m.mono' ht) m.iUnion
 #align measure_theory.outer_measure.bounded_by_eq_self MeasureTheory.OuterMeasure.boundedBy_eq_self
 -/
 
@@ -1439,9 +1439,9 @@ theorem comap_boundedBy {β} (f : β → α)
     comap f (boundedBy m) = boundedBy fun s => m (f '' s) :=
   by
   refine' (comap_of_function _ _).trans _
-  · refine' h.imp (fun H s t hst => supᵢ_le fun hs => _) id
+  · refine' h.imp (fun H s t hst => iSup_le fun hs => _) id
     have ht : t.nonempty := hs.mono hst
-    exact (@H ⟨s, hs⟩ ⟨t, ht⟩ hst).trans (le_supᵢ (fun h : t.nonempty => m t) ht)
+    exact (@H ⟨s, hs⟩ ⟨t, ht⟩ hst).trans (le_iSup (fun h : t.nonempty => m t) ht)
   · dsimp only [bounded_by]
     congr with s : 1
     rw [nonempty_image_iff]
@@ -1463,7 +1463,7 @@ theorem boundedBy_union_of_top_of_nonempty_inter {s t : Set α}
     (h : ∀ u, (s ∩ u).Nonempty → (t ∩ u).Nonempty → m u = ∞) :
     boundedBy m (s ∪ t) = boundedBy m s + boundedBy m t :=
   ofFunction_union_of_top_of_nonempty_inter fun u hs ht =>
-    top_unique <| (h u hs ht).ge.trans <| le_supᵢ (fun h => m u) (hs.mono <| inter_subset_right s u)
+    top_unique <| (h u hs ht).ge.trans <| le_iSup (fun h => m u) (hs.mono <| inter_subset_right s u)
 #align measure_theory.outer_measure.bounded_by_union_of_top_of_nonempty_inter MeasureTheory.OuterMeasure.boundedBy_union_of_top_of_nonempty_inter
 
 end BoundedBy
@@ -1551,8 +1551,8 @@ theorem measure_inter_union (h : s₁ ∩ s₂ ⊆ ∅) (h₁ : is_caratheodory
   rw [h₁, Set.inter_assoc, Set.union_inter_cancel_left, inter_diff_assoc, union_diff_cancel_left h]
 #align measure_theory.outer_measure.measure_inter_union MeasureTheory.OuterMeasure.measure_inter_union
 
-#print MeasureTheory.OuterMeasure.isCaratheodory_unionᵢ_lt /-
-theorem isCaratheodory_unionᵢ_lt {s : ℕ → Set α} :
+#print MeasureTheory.OuterMeasure.isCaratheodory_iUnion_lt /-
+theorem isCaratheodory_iUnion_lt {s : ℕ → Set α} :
     ∀ {n : ℕ}, (∀ i < n, is_caratheodory (s i)) → is_caratheodory (⋃ i < n, s i)
   | 0, h => by simp [Nat.not_lt_zero]
   | n + 1, h => by
@@ -1561,7 +1561,7 @@ theorem isCaratheodory_unionᵢ_lt {s : ℕ → Set α} :
         is_caratheodory_union m
           (is_caratheodory_Union_lt fun i hi => h i <| lt_of_lt_of_le hi <| Nat.le_succ _)
           (h n (le_refl (n + 1)))
-#align measure_theory.outer_measure.is_caratheodory_Union_lt MeasureTheory.OuterMeasure.isCaratheodory_unionᵢ_lt
+#align measure_theory.outer_measure.is_caratheodory_Union_lt MeasureTheory.OuterMeasure.isCaratheodory_iUnion_lt
 -/
 
 /- warning: measure_theory.outer_measure.is_caratheodory_inter -> MeasureTheory.OuterMeasure.isCaratheodory_inter is a dubious translation:
@@ -1579,9 +1579,9 @@ theorem isCaratheodory_inter (h₁ : is_caratheodory s₁) (h₂ : is_caratheodo
 
 /- warning: measure_theory.outer_measure.is_caratheodory_sum -> MeasureTheory.OuterMeasure.isCaratheodory_sum is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Nat -> (Set.{u1} α)}, (forall (i : Nat), MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (s i)) -> (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) s)) -> (forall {t : Set.{u1} α} {n : Nat}, Eq.{1} ENNReal (Finset.sum.{0, 0} ENNReal Nat (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) (Finset.range n) (fun (i : Nat) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t (s i)))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => Set.unionᵢ.{u1, 0} α (LT.lt.{0} Nat Nat.hasLt i n) (fun (H : LT.lt.{0} Nat Nat.hasLt i n) => s i))))))
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Nat -> (Set.{u1} α)}, (forall (i : Nat), MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (s i)) -> (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) s)) -> (forall {t : Set.{u1} α} {n : Nat}, Eq.{1} ENNReal (Finset.sum.{0, 0} ENNReal Nat (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) (Finset.range n) (fun (i : Nat) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t (s i)))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => Set.iUnion.{u1, 0} α (LT.lt.{0} Nat Nat.hasLt i n) (fun (H : LT.lt.{0} Nat Nat.hasLt i n) => s i))))))
 but is expected to have type
-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Nat -> (Set.{u1} α)}, (forall (i : Nat), MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (s i)) -> (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) s)) -> (forall {t : Set.{u1} α} {n : Nat}, Eq.{1} ENNReal (Finset.sum.{0, 0} ENNReal Nat (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) (Finset.range n) (fun (i : Nat) => MeasureTheory.OuterMeasure.measureOf.{u1} α m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t (s i)))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => Set.unionᵢ.{u1, 0} α (LT.lt.{0} Nat instLTNat i n) (fun (H : LT.lt.{0} Nat instLTNat i n) => s i))))))
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Nat -> (Set.{u1} α)}, (forall (i : Nat), MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (s i)) -> (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) s)) -> (forall {t : Set.{u1} α} {n : Nat}, Eq.{1} ENNReal (Finset.sum.{0, 0} ENNReal Nat (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) (Finset.range n) (fun (i : Nat) => MeasureTheory.OuterMeasure.measureOf.{u1} α m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t (s i)))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => Set.iUnion.{u1, 0} α (LT.lt.{0} Nat instLTNat i n) (fun (H : LT.lt.{0} Nat instLTNat i n) => s i))))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.is_caratheodory_sum MeasureTheory.OuterMeasure.isCaratheodory_sumₓ'. -/
 theorem isCaratheodory_sum {s : ℕ → Set α} (h : ∀ i, is_caratheodory (s i))
     (hd : Pairwise (Disjoint on s)) {t : Set α} :
@@ -1595,13 +1595,13 @@ theorem isCaratheodory_sum {s : ℕ → Set α} (h : ∀ i, is_caratheodory (s i
     simpa using fun (h₁ : a ∈ s n) i (hi : i < n) h₂ => (hd (ne_of_gt hi)).le_bot ⟨h₁, h₂⟩
 #align measure_theory.outer_measure.is_caratheodory_sum MeasureTheory.OuterMeasure.isCaratheodory_sum
 
-/- warning: measure_theory.outer_measure.is_caratheodory_Union_nat -> MeasureTheory.OuterMeasure.isCaratheodory_unionᵢ_nat is a dubious translation:
+/- warning: measure_theory.outer_measure.is_caratheodory_Union_nat -> MeasureTheory.OuterMeasure.isCaratheodory_iUnion_nat is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Nat -> (Set.{u1} α)}, (forall (i : Nat), MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (s i)) -> (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) s)) -> (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => s i)))
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Nat -> (Set.{u1} α)}, (forall (i : Nat), MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (s i)) -> (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) s)) -> (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => s i)))
 but is expected to have type
-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Nat -> (Set.{u1} α)}, (forall (i : Nat), MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (s i)) -> (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) s)) -> (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => s i)))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.is_caratheodory_Union_nat MeasureTheory.OuterMeasure.isCaratheodory_unionᵢ_natₓ'. -/
-theorem isCaratheodory_unionᵢ_nat {s : ℕ → Set α} (h : ∀ i, is_caratheodory (s i))
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Nat -> (Set.{u1} α)}, (forall (i : Nat), MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (s i)) -> (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) s)) -> (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => s i)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.is_caratheodory_Union_nat MeasureTheory.OuterMeasure.isCaratheodory_iUnion_natₓ'. -/
+theorem isCaratheodory_iUnion_nat {s : ℕ → Set α} (h : ∀ i, is_caratheodory (s i))
     (hd : Pairwise (Disjoint on s)) : is_caratheodory (⋃ i, s i) :=
   is_caratheodory_iff_le'.2 fun t =>
     by
@@ -1609,32 +1609,32 @@ theorem isCaratheodory_unionᵢ_nat {s : ℕ → Set α} (h : ∀ i, is_caratheo
       by
       convert m.Union fun i => t ∩ s i
       · rw [inter_Union]
-      · simp [ENNReal.tsum_eq_supᵢ_nat, is_caratheodory_sum m h hd]
+      · simp [ENNReal.tsum_eq_iSup_nat, is_caratheodory_sum m h hd]
     refine' le_trans (add_le_add_right hp _) _
-    rw [ENNReal.supᵢ_add]
+    rw [ENNReal.iSup_add]
     refine'
-      supᵢ_le fun n =>
+      iSup_le fun n =>
         le_trans (add_le_add_left _ _) (ge_of_eq (is_caratheodory_Union_lt m (fun i _ => h i) _))
     refine' m.mono (diff_subset_diff_right _)
     exact Union₂_subset fun i _ => subset_Union _ i
-#align measure_theory.outer_measure.is_caratheodory_Union_nat MeasureTheory.OuterMeasure.isCaratheodory_unionᵢ_nat
+#align measure_theory.outer_measure.is_caratheodory_Union_nat MeasureTheory.OuterMeasure.isCaratheodory_iUnion_nat
 
-/- warning: measure_theory.outer_measure.f_Union -> MeasureTheory.OuterMeasure.f_unionᵢ is a dubious translation:
+/- warning: measure_theory.outer_measure.f_Union -> MeasureTheory.OuterMeasure.f_iUnion is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Nat -> (Set.{u1} α)}, (forall (i : Nat), MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (s i)) -> (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) s)) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s i))))
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Nat -> (Set.{u1} α)}, (forall (i : Nat), MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (s i)) -> (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) s)) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s i))))
 but is expected to have type
-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Nat -> (Set.{u1} α)}, (forall (i : Nat), MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (s i)) -> (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) s)) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => MeasureTheory.OuterMeasure.measureOf.{u1} α m (s i))))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.f_Union MeasureTheory.OuterMeasure.f_unionᵢₓ'. -/
-theorem f_unionᵢ {s : ℕ → Set α} (h : ∀ i, is_caratheodory (s i)) (hd : Pairwise (Disjoint on s)) :
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Nat -> (Set.{u1} α)}, (forall (i : Nat), MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (s i)) -> (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) s)) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => MeasureTheory.OuterMeasure.measureOf.{u1} α m (s i))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.f_Union MeasureTheory.OuterMeasure.f_iUnionₓ'. -/
+theorem f_iUnion {s : ℕ → Set α} (h : ∀ i, is_caratheodory (s i)) (hd : Pairwise (Disjoint on s)) :
     m (⋃ i, s i) = ∑' i, m (s i) :=
   by
   refine' le_antisymm (m.Union_nat s) _
-  rw [ENNReal.tsum_eq_supᵢ_nat]
-  refine' supᵢ_le fun n => _
+  rw [ENNReal.tsum_eq_iSup_nat]
+  refine' iSup_le fun n => _
   have := @is_caratheodory_sum _ m _ h hd univ n
   simp at this; simp [this]
   exact m.mono (Union₂_subset fun i _ => subset_Union _ i)
-#align measure_theory.outer_measure.f_Union MeasureTheory.OuterMeasure.f_unionᵢ
+#align measure_theory.outer_measure.f_Union MeasureTheory.OuterMeasure.f_iUnion
 
 #print MeasureTheory.OuterMeasure.caratheodoryDynkin /-
 /-- The Carathéodory-measurable sets for an outer measure `m` form a Dynkin system.  -/
@@ -1643,7 +1643,7 @@ def caratheodoryDynkin : MeasurableSpace.DynkinSystem α
   Has := is_caratheodory
   has_empty := is_caratheodory_empty
   HasCompl s := is_caratheodory_compl
-  has_unionᵢ_nat f hf hn := is_caratheodory_Union_nat hn hf
+  has_iUnion_nat f hf hn := is_caratheodory_Union_nat hn hf
 #align measure_theory.outer_measure.caratheodory_dynkin MeasureTheory.OuterMeasure.caratheodoryDynkin
 -/
 
@@ -1677,17 +1677,17 @@ theorem isCaratheodory_iff_le {s : Set α} :
   is_caratheodory_iff_le'
 #align measure_theory.outer_measure.is_caratheodory_iff_le MeasureTheory.OuterMeasure.isCaratheodory_iff_le
 
-/- warning: measure_theory.outer_measure.Union_eq_of_caratheodory -> MeasureTheory.OuterMeasure.unionᵢ_eq_of_caratheodory is a dubious translation:
+/- warning: measure_theory.outer_measure.Union_eq_of_caratheodory -> MeasureTheory.OuterMeasure.iUnion_eq_of_caratheodory is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Nat -> (Set.{u1} α)}, (forall (i : Nat), MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α m) (s i)) -> (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) s)) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s i))))
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Nat -> (Set.{u1} α)}, (forall (i : Nat), MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α m) (s i)) -> (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) s)) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s i))))
 but is expected to have type
-  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Nat -> (Set.{u1} α)}, (forall (i : Nat), MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α m) (s i)) -> (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) s)) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => MeasureTheory.OuterMeasure.measureOf.{u1} α m (s i))))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Union_eq_of_caratheodory MeasureTheory.OuterMeasure.unionᵢ_eq_of_caratheodoryₓ'. -/
-protected theorem unionᵢ_eq_of_caratheodory {s : ℕ → Set α}
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Nat -> (Set.{u1} α)}, (forall (i : Nat), MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α m) (s i)) -> (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) s)) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => MeasureTheory.OuterMeasure.measureOf.{u1} α m (s i))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Union_eq_of_caratheodory MeasureTheory.OuterMeasure.iUnion_eq_of_caratheodoryₓ'. -/
+protected theorem iUnion_eq_of_caratheodory {s : ℕ → Set α}
     (h : ∀ i, measurable_set[caratheodory] (s i)) (hd : Pairwise (Disjoint on s)) :
     m (⋃ i, s i) = ∑' i, m (s i) :=
   f_Union h hd
-#align measure_theory.outer_measure.Union_eq_of_caratheodory MeasureTheory.OuterMeasure.unionᵢ_eq_of_caratheodory
+#align measure_theory.outer_measure.Union_eq_of_caratheodory MeasureTheory.OuterMeasure.iUnion_eq_of_caratheodory
 
 end CaratheodoryMeasurable
 
@@ -1704,11 +1704,11 @@ theorem ofFunction_caratheodory {m : Set α → ℝ≥0∞} {s : Set α} {h₀ :
     measurable_set[(OuterMeasure.ofFunction m h₀).caratheodory] s :=
   by
   apply (is_caratheodory_iff_le _).mpr
-  refine' fun t => le_infᵢ fun f => le_infᵢ fun hf => _
+  refine' fun t => le_iInf fun f => le_iInf fun hf => _
   refine'
     le_trans
-      (add_le_add ((infᵢ_le_of_le fun i => f i ∩ s) <| infᵢ_le _ _)
-        ((infᵢ_le_of_le fun i => f i \ s) <| infᵢ_le _ _))
+      (add_le_add ((iInf_le_of_le fun i => f i ∩ s) <| iInf_le _ _)
+        ((iInf_le_of_le fun i => f i \ s) <| iInf_le _ _))
       _
   · rw [← Union_inter]
     exact inter_subset_inter_left _ hf
@@ -1732,7 +1732,7 @@ theorem boundedBy_caratheodory {m : Set α → ℝ≥0∞} {s : Set α}
   · simp [h, not_nonempty_empty]
   · convert le_trans _ (hs t)
     · simp [h]
-    exact add_le_add supᵢ_const_le supᵢ_const_le
+    exact add_le_add iSup_const_le iSup_const_le
 #align measure_theory.outer_measure.bounded_by_caratheodory MeasureTheory.OuterMeasure.boundedBy_caratheodory
 
 /- warning: measure_theory.outer_measure.zero_caratheodory -> MeasureTheory.OuterMeasure.zero_caratheodory is a dubious translation:
@@ -1772,13 +1772,13 @@ theorem le_add_caratheodory (m₁ m₂ : OuterMeasure α) :
 
 /- warning: measure_theory.outer_measure.le_sum_caratheodory -> MeasureTheory.OuterMeasure.le_sum_caratheodory is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {ι : Type.{u2}} (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), LE.le.{u1} (MeasurableSpace.{u1} α) (MeasurableSpace.hasLe.{u1} α) (infᵢ.{u1, succ u2} (MeasurableSpace.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasurableSpace.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasurableSpace.{u1} α) (MeasurableSpace.completeLattice.{u1} α))) ι (fun (i : ι) => MeasureTheory.OuterMeasure.caratheodory.{u1} α (m i))) (MeasureTheory.OuterMeasure.caratheodory.{u1} α (MeasureTheory.OuterMeasure.sum.{u1, u2} α ι m))
+  forall {α : Type.{u1}} {ι : Type.{u2}} (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), LE.le.{u1} (MeasurableSpace.{u1} α) (MeasurableSpace.hasLe.{u1} α) (iInf.{u1, succ u2} (MeasurableSpace.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasurableSpace.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasurableSpace.{u1} α) (MeasurableSpace.completeLattice.{u1} α))) ι (fun (i : ι) => MeasureTheory.OuterMeasure.caratheodory.{u1} α (m i))) (MeasureTheory.OuterMeasure.caratheodory.{u1} α (MeasureTheory.OuterMeasure.sum.{u1, u2} α ι m))
 but is expected to have type
-  forall {α : Type.{u1}} {ι : Type.{u2}} (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), LE.le.{u1} (MeasurableSpace.{u1} α) (MeasurableSpace.instLEMeasurableSpace.{u1} α) (infᵢ.{u1, succ u2} (MeasurableSpace.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasurableSpace.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasurableSpace.{u1} α) (MeasurableSpace.instCompleteLatticeMeasurableSpace.{u1} α))) ι (fun (i : ι) => MeasureTheory.OuterMeasure.caratheodory.{u1} α (m i))) (MeasureTheory.OuterMeasure.caratheodory.{u1} α (MeasureTheory.OuterMeasure.sum.{u1, u2} α ι m))
+  forall {α : Type.{u1}} {ι : Type.{u2}} (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), LE.le.{u1} (MeasurableSpace.{u1} α) (MeasurableSpace.instLEMeasurableSpace.{u1} α) (iInf.{u1, succ u2} (MeasurableSpace.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasurableSpace.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasurableSpace.{u1} α) (MeasurableSpace.instCompleteLatticeMeasurableSpace.{u1} α))) ι (fun (i : ι) => MeasureTheory.OuterMeasure.caratheodory.{u1} α (m i))) (MeasureTheory.OuterMeasure.caratheodory.{u1} α (MeasureTheory.OuterMeasure.sum.{u1, u2} α ι m))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_sum_caratheodory MeasureTheory.OuterMeasure.le_sum_caratheodoryₓ'. -/
 theorem le_sum_caratheodory {ι} (m : ι → OuterMeasure α) :
     (⨅ i, (m i).caratheodory) ≤ (sum m).caratheodory := fun s h t => by
-  simp [fun i => MeasurableSpace.measurableSet_infᵢ.1 h i t, ENNReal.tsum_add]
+  simp [fun i => MeasurableSpace.measurableSet_iInf.1 h i t, ENNReal.tsum_add]
 #align measure_theory.outer_measure.le_sum_caratheodory MeasureTheory.OuterMeasure.le_sum_caratheodory
 
 /- warning: measure_theory.outer_measure.le_smul_caratheodory -> MeasureTheory.OuterMeasure.le_smul_caratheodory is a dubious translation:
@@ -1806,281 +1806,281 @@ theorem dirac_caratheodory (a : α) : (dirac a).caratheodory = ⊤ :=
 
 section InfGen
 
-#print MeasureTheory.OuterMeasure.infₛGen /-
+#print MeasureTheory.OuterMeasure.sInfGen /-
 /-- Given a set of outer measures, we define a new function that on a set `s` is defined to be the
   infimum of `μ(s)` for the outer measures `μ` in the collection. We ensure that this
   function is defined to be `0` on `∅`, even if the collection of outer measures is empty.
   The outer measure generated by this function is the infimum of the given outer measures. -/
-def infₛGen (m : Set (OuterMeasure α)) (s : Set α) : ℝ≥0∞ :=
+def sInfGen (m : Set (OuterMeasure α)) (s : Set α) : ℝ≥0∞ :=
   ⨅ (μ : OuterMeasure α) (h : μ ∈ m), μ s
-#align measure_theory.outer_measure.Inf_gen MeasureTheory.OuterMeasure.infₛGen
+#align measure_theory.outer_measure.Inf_gen MeasureTheory.OuterMeasure.sInfGen
 -/
 
-/- warning: measure_theory.outer_measure.Inf_gen_def -> MeasureTheory.OuterMeasure.infₛGen_def is a dubious translation:
+/- warning: measure_theory.outer_measure.Inf_gen_def -> MeasureTheory.OuterMeasure.sInfGen_def is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} (m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (t : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.infₛGen.{u1} α m t) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Membership.Mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.hasMem.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) (fun (h : Membership.Mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.hasMem.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ t)))
+  forall {α : Type.{u1}} (m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (t : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.sInfGen.{u1} α m t) (iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Membership.Mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.hasMem.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) (fun (h : Membership.Mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.hasMem.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ t)))
 but is expected to have type
-  forall {α : Type.{u1}} (m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (t : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.infₛGen.{u1} α m t) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Membership.mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.instMembershipSet.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) (fun (h : Membership.mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.instMembershipSet.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) => MeasureTheory.OuterMeasure.measureOf.{u1} α μ t)))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Inf_gen_def MeasureTheory.OuterMeasure.infₛGen_defₓ'. -/
-theorem infₛGen_def (m : Set (OuterMeasure α)) (t : Set α) :
-    infₛGen m t = ⨅ (μ : OuterMeasure α) (h : μ ∈ m), μ t :=
+  forall {α : Type.{u1}} (m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (t : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.sInfGen.{u1} α m t) (iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Membership.mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.instMembershipSet.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) (fun (h : Membership.mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.instMembershipSet.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) => MeasureTheory.OuterMeasure.measureOf.{u1} α μ t)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Inf_gen_def MeasureTheory.OuterMeasure.sInfGen_defₓ'. -/
+theorem sInfGen_def (m : Set (OuterMeasure α)) (t : Set α) :
+    sInfGen m t = ⨅ (μ : OuterMeasure α) (h : μ ∈ m), μ t :=
   rfl
-#align measure_theory.outer_measure.Inf_gen_def MeasureTheory.OuterMeasure.infₛGen_def
+#align measure_theory.outer_measure.Inf_gen_def MeasureTheory.OuterMeasure.sInfGen_def
 
-/- warning: measure_theory.outer_measure.Inf_eq_bounded_by_Inf_gen -> MeasureTheory.OuterMeasure.infₛ_eq_boundedBy_infₛGen is a dubious translation:
+/- warning: measure_theory.outer_measure.Inf_eq_bounded_by_Inf_gen -> MeasureTheory.OuterMeasure.sInf_eq_boundedBy_sInfGen is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} (m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (InfSet.infₛ.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m) (MeasureTheory.OuterMeasure.boundedBy.{u1} α (MeasureTheory.OuterMeasure.infₛGen.{u1} α m))
+  forall {α : Type.{u1}} (m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (InfSet.sInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m) (MeasureTheory.OuterMeasure.boundedBy.{u1} α (MeasureTheory.OuterMeasure.sInfGen.{u1} α m))
 but is expected to have type
-  forall {α : Type.{u1}} (m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (InfSet.infₛ.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m) (MeasureTheory.OuterMeasure.boundedBy.{u1} α (MeasureTheory.OuterMeasure.infₛGen.{u1} α m))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Inf_eq_bounded_by_Inf_gen MeasureTheory.OuterMeasure.infₛ_eq_boundedBy_infₛGenₓ'. -/
-theorem infₛ_eq_boundedBy_infₛGen (m : Set (OuterMeasure α)) :
-    infₛ m = OuterMeasure.boundedBy (infₛGen m) :=
+  forall {α : Type.{u1}} (m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (InfSet.sInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m) (MeasureTheory.OuterMeasure.boundedBy.{u1} α (MeasureTheory.OuterMeasure.sInfGen.{u1} α m))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Inf_eq_bounded_by_Inf_gen MeasureTheory.OuterMeasure.sInf_eq_boundedBy_sInfGenₓ'. -/
+theorem sInf_eq_boundedBy_sInfGen (m : Set (OuterMeasure α)) :
+    sInf m = OuterMeasure.boundedBy (sInfGen m) :=
   by
   refine' le_antisymm _ _
-  · refine' le_bounded_by.2 fun s => le_infᵢ₂ fun μ hμ => _
-    exact (show Inf m ≤ μ from infₛ_le hμ) s
-  · refine' le_infₛ _
+  · refine' le_bounded_by.2 fun s => le_iInf₂ fun μ hμ => _
+    exact (show Inf m ≤ μ from sInf_le hμ) s
+  · refine' le_sInf _
     intro μ hμ t
-    refine' le_trans (bounded_by_le t) (infᵢ₂_le μ hμ)
-#align measure_theory.outer_measure.Inf_eq_bounded_by_Inf_gen MeasureTheory.OuterMeasure.infₛ_eq_boundedBy_infₛGen
+    refine' le_trans (bounded_by_le t) (iInf₂_le μ hμ)
+#align measure_theory.outer_measure.Inf_eq_bounded_by_Inf_gen MeasureTheory.OuterMeasure.sInf_eq_boundedBy_sInfGen
 
-/- warning: measure_theory.outer_measure.supr_Inf_gen_nonempty -> MeasureTheory.OuterMeasure.supᵢ_infₛGen_nonempty is a dubious translation:
+/- warning: measure_theory.outer_measure.supr_Inf_gen_nonempty -> MeasureTheory.OuterMeasure.iSup_sInfGen_nonempty is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)}, (Set.Nonempty.{u1} (MeasureTheory.OuterMeasure.{u1} α) m) -> (forall (t : Set.{u1} α), Eq.{1} ENNReal (supᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasSup.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Set.Nonempty.{u1} α t) (fun (h : Set.Nonempty.{u1} α t) => MeasureTheory.OuterMeasure.infₛGen.{u1} α m t)) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Membership.Mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.hasMem.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) (fun (h : Membership.Mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.hasMem.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ t))))
+  forall {α : Type.{u1}} {m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)}, (Set.Nonempty.{u1} (MeasureTheory.OuterMeasure.{u1} α) m) -> (forall (t : Set.{u1} α), Eq.{1} ENNReal (iSup.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasSup.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Set.Nonempty.{u1} α t) (fun (h : Set.Nonempty.{u1} α t) => MeasureTheory.OuterMeasure.sInfGen.{u1} α m t)) (iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Membership.Mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.hasMem.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) (fun (h : Membership.Mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.hasMem.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ t))))
 but is expected to have type
-  forall {α : Type.{u1}} {m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)}, (Set.Nonempty.{u1} (MeasureTheory.OuterMeasure.{u1} α) m) -> (forall (t : Set.{u1} α), Eq.{1} ENNReal (supᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toSupSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Set.Nonempty.{u1} α t) (fun (h : Set.Nonempty.{u1} α t) => MeasureTheory.OuterMeasure.infₛGen.{u1} α m t)) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Membership.mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.instMembershipSet.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) (fun (h : Membership.mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.instMembershipSet.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) => MeasureTheory.OuterMeasure.measureOf.{u1} α μ t))))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.supr_Inf_gen_nonempty MeasureTheory.OuterMeasure.supᵢ_infₛGen_nonemptyₓ'. -/
-theorem supᵢ_infₛGen_nonempty {m : Set (OuterMeasure α)} (h : m.Nonempty) (t : Set α) :
-    (⨆ h : t.Nonempty, infₛGen m t) = ⨅ (μ : OuterMeasure α) (h : μ ∈ m), μ t :=
+  forall {α : Type.{u1}} {m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)}, (Set.Nonempty.{u1} (MeasureTheory.OuterMeasure.{u1} α) m) -> (forall (t : Set.{u1} α), Eq.{1} ENNReal (iSup.{0, 0} ENNReal (ConditionallyCompleteLattice.toSupSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Set.Nonempty.{u1} α t) (fun (h : Set.Nonempty.{u1} α t) => MeasureTheory.OuterMeasure.sInfGen.{u1} α m t)) (iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Membership.mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.instMembershipSet.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) (fun (h : Membership.mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.instMembershipSet.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) => MeasureTheory.OuterMeasure.measureOf.{u1} α μ t))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.supr_Inf_gen_nonempty MeasureTheory.OuterMeasure.iSup_sInfGen_nonemptyₓ'. -/
+theorem iSup_sInfGen_nonempty {m : Set (OuterMeasure α)} (h : m.Nonempty) (t : Set α) :
+    (⨆ h : t.Nonempty, sInfGen m t) = ⨅ (μ : OuterMeasure α) (h : μ ∈ m), μ t :=
   by
   rcases t.eq_empty_or_nonempty with (rfl | ht)
   · rcases h with ⟨μ, hμ⟩
-    rw [eq_false not_nonempty_empty, supᵢ_false, eq_comm]
+    rw [eq_false not_nonempty_empty, iSup_false, eq_comm]
     simp_rw [empty']
     apply bot_unique
-    refine' infᵢ_le_of_le μ (infᵢ_le _ hμ)
+    refine' iInf_le_of_le μ (iInf_le _ hμ)
   · simp [ht, Inf_gen_def]
-#align measure_theory.outer_measure.supr_Inf_gen_nonempty MeasureTheory.OuterMeasure.supᵢ_infₛGen_nonempty
+#align measure_theory.outer_measure.supr_Inf_gen_nonempty MeasureTheory.OuterMeasure.iSup_sInfGen_nonempty
 
-/- warning: measure_theory.outer_measure.Inf_apply -> MeasureTheory.OuterMeasure.infₛ_apply is a dubious translation:
+/- warning: measure_theory.outer_measure.Inf_apply -> MeasureTheory.OuterMeasure.sInf_apply is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)} {s : Set.{u1} α}, (Set.Nonempty.{u1} (MeasureTheory.OuterMeasure.{u1} α) m) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (InfSet.infₛ.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (n : Nat) => infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Membership.Mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.hasMem.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) (fun (h3 : Membership.Mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.hasMem.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ (t n))))))))
+  forall {α : Type.{u1}} {m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)} {s : Set.{u1} α}, (Set.Nonempty.{u1} (MeasureTheory.OuterMeasure.{u1} α) m) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (InfSet.sInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m) s) (iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (n : Nat) => iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Membership.Mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.hasMem.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) (fun (h3 : Membership.Mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.hasMem.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ (t n))))))))
 but is expected to have type
-  forall {α : Type.{u1}} {m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)} {s : Set.{u1} α}, (Set.Nonempty.{u1} (MeasureTheory.OuterMeasure.{u1} α) m) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (InfSet.infₛ.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (n : Nat) => infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Membership.mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.instMembershipSet.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) (fun (h3 : Membership.mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.instMembershipSet.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) => MeasureTheory.OuterMeasure.measureOf.{u1} α μ (t n))))))))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Inf_apply MeasureTheory.OuterMeasure.infₛ_applyₓ'. -/
+  forall {α : Type.{u1}} {m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)} {s : Set.{u1} α}, (Set.Nonempty.{u1} (MeasureTheory.OuterMeasure.{u1} α) m) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (InfSet.sInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m) s) (iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (n : Nat) => iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Membership.mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.instMembershipSet.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) (fun (h3 : Membership.mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.instMembershipSet.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) => MeasureTheory.OuterMeasure.measureOf.{u1} α μ (t n))))))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Inf_apply MeasureTheory.OuterMeasure.sInf_applyₓ'. -/
 /-- The value of the Infimum of a nonempty set of outer measures on a set is not simply
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
-theorem infₛ_apply {m : Set (OuterMeasure α)} {s : Set α} (h : m.Nonempty) :
-    infₛ m s =
-      ⨅ (t : ℕ → Set α) (h2 : s ⊆ unionᵢ t), ∑' n, ⨅ (μ : OuterMeasure α) (h3 : μ ∈ m), μ (t n) :=
+theorem sInf_apply {m : Set (OuterMeasure α)} {s : Set α} (h : m.Nonempty) :
+    sInf m s =
+      ⨅ (t : ℕ → Set α) (h2 : s ⊆ iUnion t), ∑' n, ⨅ (μ : OuterMeasure α) (h3 : μ ∈ m), μ (t n) :=
   by simp_rw [Inf_eq_bounded_by_Inf_gen, bounded_by_apply, supr_Inf_gen_nonempty h]
-#align measure_theory.outer_measure.Inf_apply MeasureTheory.OuterMeasure.infₛ_apply
+#align measure_theory.outer_measure.Inf_apply MeasureTheory.OuterMeasure.sInf_apply
 
-/- warning: measure_theory.outer_measure.Inf_apply' -> MeasureTheory.OuterMeasure.infₛ_apply' is a dubious translation:
+/- warning: measure_theory.outer_measure.Inf_apply' -> MeasureTheory.OuterMeasure.sInf_apply' is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)} {s : Set.{u1} α}, (Set.Nonempty.{u1} α s) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (InfSet.infₛ.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (n : Nat) => infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Membership.Mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.hasMem.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) (fun (h3 : Membership.Mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.hasMem.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ (t n))))))))
+  forall {α : Type.{u1}} {m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)} {s : Set.{u1} α}, (Set.Nonempty.{u1} α s) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (InfSet.sInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m) s) (iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (n : Nat) => iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Membership.Mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.hasMem.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) (fun (h3 : Membership.Mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.hasMem.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ (t n))))))))
 but is expected to have type
-  forall {α : Type.{u1}} {m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)} {s : Set.{u1} α}, (Set.Nonempty.{u1} α s) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (InfSet.infₛ.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (n : Nat) => infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Membership.mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.instMembershipSet.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) (fun (h3 : Membership.mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.instMembershipSet.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) => MeasureTheory.OuterMeasure.measureOf.{u1} α μ (t n))))))))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Inf_apply' MeasureTheory.OuterMeasure.infₛ_apply'ₓ'. -/
+  forall {α : Type.{u1}} {m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)} {s : Set.{u1} α}, (Set.Nonempty.{u1} α s) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (InfSet.sInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m) s) (iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (n : Nat) => iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Membership.mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.instMembershipSet.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) (fun (h3 : Membership.mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.instMembershipSet.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) => MeasureTheory.OuterMeasure.measureOf.{u1} α μ (t n))))))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Inf_apply' MeasureTheory.OuterMeasure.sInf_apply'ₓ'. -/
 /-- The value of the Infimum of a set of outer measures on a nonempty set is not simply
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
-theorem infₛ_apply' {m : Set (OuterMeasure α)} {s : Set α} (h : s.Nonempty) :
-    infₛ m s =
-      ⨅ (t : ℕ → Set α) (h2 : s ⊆ unionᵢ t), ∑' n, ⨅ (μ : OuterMeasure α) (h3 : μ ∈ m), μ (t n) :=
-  m.eq_empty_or_nonempty.elim (fun hm => by simp [hm, h]) infₛ_apply
-#align measure_theory.outer_measure.Inf_apply' MeasureTheory.OuterMeasure.infₛ_apply'
+theorem sInf_apply' {m : Set (OuterMeasure α)} {s : Set α} (h : s.Nonempty) :
+    sInf m s =
+      ⨅ (t : ℕ → Set α) (h2 : s ⊆ iUnion t), ∑' n, ⨅ (μ : OuterMeasure α) (h3 : μ ∈ m), μ (t n) :=
+  m.eq_empty_or_nonempty.elim (fun hm => by simp [hm, h]) sInf_apply
+#align measure_theory.outer_measure.Inf_apply' MeasureTheory.OuterMeasure.sInf_apply'
 
-/- warning: measure_theory.outer_measure.infi_apply -> MeasureTheory.OuterMeasure.infᵢ_apply is a dubious translation:
+/- warning: measure_theory.outer_measure.infi_apply -> MeasureTheory.OuterMeasure.iInf_apply is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {ι : Sort.{u2}} [_inst_1 : Nonempty.{u2} ι] (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)) (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i)) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (n : Nat) => infᵢ.{0, u2} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) ι (fun (i : ι) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (m i) (t n))))))
+  forall {α : Type.{u1}} {ι : Sort.{u2}} [_inst_1 : Nonempty.{u2} ι] (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)) (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i)) s) (iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (n : Nat) => iInf.{0, u2} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) ι (fun (i : ι) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (m i) (t n))))))
 but is expected to have type
-  forall {α : Type.{u1}} {ι : Sort.{u2}} [_inst_1 : Nonempty.{u2} ι] (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)) (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i)) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (n : Nat) => infᵢ.{0, u2} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) ι (fun (i : ι) => MeasureTheory.OuterMeasure.measureOf.{u1} α (m i) (t n))))))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.infi_apply MeasureTheory.OuterMeasure.infᵢ_applyₓ'. -/
+  forall {α : Type.{u1}} {ι : Sort.{u2}} [_inst_1 : Nonempty.{u2} ι] (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)) (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i)) s) (iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (n : Nat) => iInf.{0, u2} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) ι (fun (i : ι) => MeasureTheory.OuterMeasure.measureOf.{u1} α (m i) (t n))))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.infi_apply MeasureTheory.OuterMeasure.iInf_applyₓ'. -/
 /-- The value of the Infimum of a nonempty family of outer measures on a set is not simply
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
-theorem infᵢ_apply {ι} [Nonempty ι] (m : ι → OuterMeasure α) (s : Set α) :
-    (⨅ i, m i) s = ⨅ (t : ℕ → Set α) (h2 : s ⊆ unionᵢ t), ∑' n, ⨅ i, m i (t n) :=
+theorem iInf_apply {ι} [Nonempty ι] (m : ι → OuterMeasure α) (s : Set α) :
+    (⨅ i, m i) s = ⨅ (t : ℕ → Set α) (h2 : s ⊆ iUnion t), ∑' n, ⨅ i, m i (t n) :=
   by
-  rw [infᵢ, infₛ_apply (range_nonempty m)]
-  simp only [infᵢ_range]
-#align measure_theory.outer_measure.infi_apply MeasureTheory.OuterMeasure.infᵢ_apply
+  rw [iInf, sInf_apply (range_nonempty m)]
+  simp only [iInf_range]
+#align measure_theory.outer_measure.infi_apply MeasureTheory.OuterMeasure.iInf_apply
 
-/- warning: measure_theory.outer_measure.infi_apply' -> MeasureTheory.OuterMeasure.infᵢ_apply' is a dubious translation:
+/- warning: measure_theory.outer_measure.infi_apply' -> MeasureTheory.OuterMeasure.iInf_apply' is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {ι : Sort.{u2}} (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)) {s : Set.{u1} α}, (Set.Nonempty.{u1} α s) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i)) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (n : Nat) => infᵢ.{0, u2} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) ι (fun (i : ι) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (m i) (t n)))))))
+  forall {α : Type.{u1}} {ι : Sort.{u2}} (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)) {s : Set.{u1} α}, (Set.Nonempty.{u1} α s) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i)) s) (iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (n : Nat) => iInf.{0, u2} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) ι (fun (i : ι) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (m i) (t n)))))))
 but is expected to have type
-  forall {α : Type.{u1}} {ι : Sort.{u2}} (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)) {s : Set.{u1} α}, (Set.Nonempty.{u1} α s) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i)) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (n : Nat) => infᵢ.{0, u2} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) ι (fun (i : ι) => MeasureTheory.OuterMeasure.measureOf.{u1} α (m i) (t n)))))))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.infi_apply' MeasureTheory.OuterMeasure.infᵢ_apply'ₓ'. -/
+  forall {α : Type.{u1}} {ι : Sort.{u2}} (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)) {s : Set.{u1} α}, (Set.Nonempty.{u1} α s) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i)) s) (iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (n : Nat) => iInf.{0, u2} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) ι (fun (i : ι) => MeasureTheory.OuterMeasure.measureOf.{u1} α (m i) (t n)))))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.infi_apply' MeasureTheory.OuterMeasure.iInf_apply'ₓ'. -/
 /-- The value of the Infimum of a family of outer measures on a nonempty set is not simply
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
-theorem infᵢ_apply' {ι} (m : ι → OuterMeasure α) {s : Set α} (hs : s.Nonempty) :
-    (⨅ i, m i) s = ⨅ (t : ℕ → Set α) (h2 : s ⊆ unionᵢ t), ∑' n, ⨅ i, m i (t n) :=
+theorem iInf_apply' {ι} (m : ι → OuterMeasure α) {s : Set α} (hs : s.Nonempty) :
+    (⨅ i, m i) s = ⨅ (t : ℕ → Set α) (h2 : s ⊆ iUnion t), ∑' n, ⨅ i, m i (t n) :=
   by
-  rw [infᵢ, Inf_apply' hs]
-  simp only [infᵢ_range]
-#align measure_theory.outer_measure.infi_apply' MeasureTheory.OuterMeasure.infᵢ_apply'
+  rw [iInf, Inf_apply' hs]
+  simp only [iInf_range]
+#align measure_theory.outer_measure.infi_apply' MeasureTheory.OuterMeasure.iInf_apply'
 
-/- warning: measure_theory.outer_measure.binfi_apply -> MeasureTheory.OuterMeasure.binfᵢ_apply is a dubious translation:
+/- warning: measure_theory.outer_measure.binfi_apply -> MeasureTheory.OuterMeasure.biInf_apply is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {ι : Type.{u2}} {I : Set.{u2} ι}, (Set.Nonempty.{u2} ι I) -> (forall (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)) (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (infᵢ.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => infᵢ.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => m i))) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (n : Nat) => infᵢ.{0, succ u2} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) ι (fun (i : ι) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (m i) (t n))))))))
+  forall {α : Type.{u1}} {ι : Type.{u2}} {I : Set.{u2} ι}, (Set.Nonempty.{u2} ι I) -> (forall (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)) (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => m i))) s) (iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (n : Nat) => iInf.{0, succ u2} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) ι (fun (i : ι) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (m i) (t n))))))))
 but is expected to have type
-  forall {α : Type.{u1}} {ι : Type.{u2}} {I : Set.{u2} ι}, (Set.Nonempty.{u2} ι I) -> (forall (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)) (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (infᵢ.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => infᵢ.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => m i))) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (n : Nat) => infᵢ.{0, succ u2} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) ι (fun (i : ι) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => MeasureTheory.OuterMeasure.measureOf.{u1} α (m i) (t n))))))))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.binfi_apply MeasureTheory.OuterMeasure.binfᵢ_applyₓ'. -/
+  forall {α : Type.{u1}} {ι : Type.{u2}} {I : Set.{u2} ι}, (Set.Nonempty.{u2} ι I) -> (forall (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)) (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => m i))) s) (iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (n : Nat) => iInf.{0, succ u2} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) ι (fun (i : ι) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => MeasureTheory.OuterMeasure.measureOf.{u1} α (m i) (t n))))))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.binfi_apply MeasureTheory.OuterMeasure.biInf_applyₓ'. -/
 /-- The value of the Infimum of a nonempty family of outer measures on a set is not simply
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
-theorem binfᵢ_apply {ι} {I : Set ι} (hI : I.Nonempty) (m : ι → OuterMeasure α) (s : Set α) :
-    (⨅ i ∈ I, m i) s = ⨅ (t : ℕ → Set α) (h2 : s ⊆ unionᵢ t), ∑' n, ⨅ i ∈ I, m i (t n) :=
+theorem biInf_apply {ι} {I : Set ι} (hI : I.Nonempty) (m : ι → OuterMeasure α) (s : Set α) :
+    (⨅ i ∈ I, m i) s = ⨅ (t : ℕ → Set α) (h2 : s ⊆ iUnion t), ∑' n, ⨅ i ∈ I, m i (t n) :=
   by
   haveI := hI.to_subtype
-  simp only [← infᵢ_subtype'', infᵢ_apply]
-#align measure_theory.outer_measure.binfi_apply MeasureTheory.OuterMeasure.binfᵢ_apply
+  simp only [← iInf_subtype'', iInf_apply]
+#align measure_theory.outer_measure.binfi_apply MeasureTheory.OuterMeasure.biInf_apply
 
-/- warning: measure_theory.outer_measure.binfi_apply' -> MeasureTheory.OuterMeasure.binfᵢ_apply' is a dubious translation:
+/- warning: measure_theory.outer_measure.binfi_apply' -> MeasureTheory.OuterMeasure.biInf_apply' is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {ι : Type.{u2}} (I : Set.{u2} ι) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)) {s : Set.{u1} α}, (Set.Nonempty.{u1} α s) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (infᵢ.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => infᵢ.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => m i))) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (n : Nat) => infᵢ.{0, succ u2} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) ι (fun (i : ι) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (m i) (t n))))))))
+  forall {α : Type.{u1}} {ι : Type.{u2}} (I : Set.{u2} ι) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)) {s : Set.{u1} α}, (Set.Nonempty.{u1} α s) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => m i))) s) (iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (n : Nat) => iInf.{0, succ u2} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) ι (fun (i : ι) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (m i) (t n))))))))
 but is expected to have type
-  forall {α : Type.{u1}} {ι : Type.{u2}} (I : Set.{u2} ι) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)) {s : Set.{u1} α}, (Set.Nonempty.{u1} α s) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (infᵢ.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => infᵢ.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => m i))) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (n : Nat) => infᵢ.{0, succ u2} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) ι (fun (i : ι) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => MeasureTheory.OuterMeasure.measureOf.{u1} α (m i) (t n))))))))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.binfi_apply' MeasureTheory.OuterMeasure.binfᵢ_apply'ₓ'. -/
+  forall {α : Type.{u1}} {ι : Type.{u2}} (I : Set.{u2} ι) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)) {s : Set.{u1} α}, (Set.Nonempty.{u1} α s) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => m i))) s) (iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.iUnion.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (n : Nat) => iInf.{0, succ u2} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) ι (fun (i : ι) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => MeasureTheory.OuterMeasure.measureOf.{u1} α (m i) (t n))))))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.binfi_apply' MeasureTheory.OuterMeasure.biInf_apply'ₓ'. -/
 /-- The value of the Infimum of a nonempty family of outer measures on a set is not simply
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
-theorem binfᵢ_apply' {ι} (I : Set ι) (m : ι → OuterMeasure α) {s : Set α} (hs : s.Nonempty) :
-    (⨅ i ∈ I, m i) s = ⨅ (t : ℕ → Set α) (h2 : s ⊆ unionᵢ t), ∑' n, ⨅ i ∈ I, m i (t n) := by
-  simp only [← infᵢ_subtype'', infi_apply' _ hs]
-#align measure_theory.outer_measure.binfi_apply' MeasureTheory.OuterMeasure.binfᵢ_apply'
+theorem biInf_apply' {ι} (I : Set ι) (m : ι → OuterMeasure α) {s : Set α} (hs : s.Nonempty) :
+    (⨅ i ∈ I, m i) s = ⨅ (t : ℕ → Set α) (h2 : s ⊆ iUnion t), ∑' n, ⨅ i ∈ I, m i (t n) := by
+  simp only [← iInf_subtype'', infi_apply' _ hs]
+#align measure_theory.outer_measure.binfi_apply' MeasureTheory.OuterMeasure.biInf_apply'
 
-/- warning: measure_theory.outer_measure.map_infi_le -> MeasureTheory.OuterMeasure.map_infᵢ_le is a dubious translation:
+/- warning: measure_theory.outer_measure.map_infi_le -> MeasureTheory.OuterMeasure.map_iInf_le is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {ι : Sort.{u2}} {β : Type.{u3}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), LE.le.{u3} (MeasureTheory.OuterMeasure.{u3} β) (Preorder.toLE.{u3} (MeasureTheory.OuterMeasure.{u3} β) (PartialOrder.toPreorder.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u3} β))) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (infᵢ.{u3, u2} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) ι (fun (i : ι) => coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (m i)))
+  forall {α : Type.{u1}} {ι : Sort.{u2}} {β : Type.{u3}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), LE.le.{u3} (MeasureTheory.OuterMeasure.{u3} β) (Preorder.toLE.{u3} (MeasureTheory.OuterMeasure.{u3} β) (PartialOrder.toPreorder.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u3} β))) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (iInf.{u3, u2} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) ι (fun (i : ι) => coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (m i)))
 but is expected to have type
-  forall {α : Type.{u1}} {ι : Sort.{u3}} {β : Type.{u2}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), LE.le.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (infᵢ.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (Preorder.toLE.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (infᵢ.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (PartialOrder.toPreorder.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (infᵢ.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal 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(Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (m i)))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_infi_le MeasureTheory.OuterMeasure.map_infᵢ_leₓ'. -/
-theorem map_infᵢ_le {ι β} (f : α → β) (m : ι → OuterMeasure α) :
+  forall {α : Type.{u1}} {ι : Sort.{u3}} {β : Type.{u2}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), LE.le.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (iInf.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (Preorder.toLE.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (iInf.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (PartialOrder.toPreorder.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (iInf.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal 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(CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (iInf.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (iInf.{u2, u3} (MeasureTheory.OuterMeasure.{u2} β) 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+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_infi_le MeasureTheory.OuterMeasure.map_iInf_leₓ'. -/
+theorem map_iInf_le {ι β} (f : α → β) (m : ι → OuterMeasure α) :
     map f (⨅ i, m i) ≤ ⨅ i, map f (m i) :=
-  (map_mono f).map_infᵢ_le
-#align measure_theory.outer_measure.map_infi_le MeasureTheory.OuterMeasure.map_infᵢ_le
+  (map_mono f).map_iInf_le
+#align measure_theory.outer_measure.map_infi_le MeasureTheory.OuterMeasure.map_iInf_le
 
-/- warning: measure_theory.outer_measure.comap_infi -> MeasureTheory.OuterMeasure.comap_infᵢ is a dubious translation:
+/- warning: measure_theory.outer_measure.comap_infi -> MeasureTheory.OuterMeasure.comap_iInf is a dubious translation:
 lean 3 declaration is
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α β f) (m i)))
+  forall {α : Type.{u1}} {ι : Sort.{u2}} {β : Type.{u3}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u3} β)), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{max (succ u3) (succ u1), max (succ u3) (succ u1)} (LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u3} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u3, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u3} α β f) (iInf.{u3, u2} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) ι (fun (i : ι) => m i))) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => coeFn.{max (succ u3) (succ u1), max (succ u3) (succ u1)} (LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} 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(LinearMap.hasCoeToFun.{0, 0, u3, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u3} α β f) (m i)))
 but is expected to have type
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(CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (infᵢ.{u2, u3} (MeasureTheory.OuterMeasure.{u2} β) (ConditionallyCompleteLattice.toInfSet.{u2} (MeasureTheory.OuterMeasure.{u2} β) (CompleteLattice.toConditionallyCompleteLattice.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} β))) ι (fun (i : ι) => m i))) (infᵢ.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (fun (_x : MeasureTheory.OuterMeasure.{u2} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u2} β) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (m i)))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_infi MeasureTheory.OuterMeasure.comap_infᵢₓ'. -/
-theorem comap_infᵢ {ι β} (f : α → β) (m : ι → OuterMeasure β) :
+  forall {α : Type.{u1}} {ι : Sort.{u3}} {β : Type.{u2}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u2} β)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u2} β) => MeasureTheory.OuterMeasure.{u1} α) (iInf.{u2, u3} (MeasureTheory.OuterMeasure.{u2} β) (ConditionallyCompleteLattice.toInfSet.{u2} (MeasureTheory.OuterMeasure.{u2} β) (CompleteLattice.toConditionallyCompleteLattice.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} β))) ι (fun (i : ι) => m i))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (fun (_x : MeasureTheory.OuterMeasure.{u2} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u2} β) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (iInf.{u2, u3} (MeasureTheory.OuterMeasure.{u2} β) (ConditionallyCompleteLattice.toInfSet.{u2} (MeasureTheory.OuterMeasure.{u2} β) (CompleteLattice.toConditionallyCompleteLattice.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} β))) ι (fun (i : ι) => m i))) (iInf.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (fun (_x : MeasureTheory.OuterMeasure.{u2} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u2} β) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (m i)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_infi MeasureTheory.OuterMeasure.comap_iInfₓ'. -/
+theorem comap_iInf {ι β} (f : α → β) (m : ι → OuterMeasure β) :
     comap f (⨅ i, m i) = ⨅ i, comap f (m i) :=
   by
   refine' ext_nonempty fun s hs => _
-  refine' ((comap_mono f).map_infᵢ_le s).antisymm _
-  simp only [comap_apply, infi_apply' _ hs, infi_apply' _ (hs.image _), le_infᵢ_iff,
+  refine' ((comap_mono f).map_iInf_le s).antisymm _
+  simp only [comap_apply, infi_apply' _ hs, infi_apply' _ (hs.image _), le_iInf_iff,
     Set.image_subset_iff, preimage_Union]
-  refine' fun t ht => infᵢ_le_of_le _ (infᵢ_le_of_le ht <| ENNReal.tsum_le_tsum fun k => _)
-  exact infᵢ_mono fun i => (m i).mono (image_preimage_subset _ _)
-#align measure_theory.outer_measure.comap_infi MeasureTheory.OuterMeasure.comap_infᵢ
+  refine' fun t ht => iInf_le_of_le _ (iInf_le_of_le ht <| ENNReal.tsum_le_tsum fun k => _)
+  exact iInf_mono fun i => (m i).mono (image_preimage_subset _ _)
+#align measure_theory.outer_measure.comap_infi MeasureTheory.OuterMeasure.comap_iInf
 
-/- warning: measure_theory.outer_measure.map_infi -> MeasureTheory.OuterMeasure.map_infᵢ is a dubious translation:
+/- warning: measure_theory.outer_measure.map_infi -> MeasureTheory.OuterMeasure.map_iInf is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {ι : Sort.{u2}} {β : Type.{u3}} {f : α -> β}, (Function.Injective.{succ u1, succ u3} α β f) -> (forall (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u3} (MeasureTheory.OuterMeasure.{u3} β) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (coeFn.{succ u3, succ u3} (LinearMap.{0, 0, u3, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u3, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u3} β) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u3, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u3} β (Set.range.{u3, succ u1} β α f)) (infᵢ.{u3, u2} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) ι (fun (i : ι) => coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (m i)))))
+  forall {α : Type.{u1}} {ι : Sort.{u2}} {β : Type.{u3}} {f : α -> β}, (Function.Injective.{succ u1, succ u3} α β f) -> (forall (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u3} (MeasureTheory.OuterMeasure.{u3} β) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (coeFn.{succ u3, succ u3} (LinearMap.{0, 0, u3, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u3, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u3} β) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u3, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u3} β (Set.range.{u3, succ u1} β α f)) (iInf.{u3, u2} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) ι (fun (i : ι) => coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (m i)))))
 but is expected to have type
-  forall {α : Type.{u1}} {ι : Sort.{u3}} {β : Type.{u2}} {f : α -> β}, (Function.Injective.{succ u1, succ u2} α β f) -> (forall (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (infᵢ.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (infᵢ.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{0, 0, u2, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (fun (_x : MeasureTheory.OuterMeasure.{u2} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u2} β) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u2} β (Set.range.{u2, succ u1} β α f)) (infᵢ.{u2, u3} (MeasureTheory.OuterMeasure.{u2} β) (ConditionallyCompleteLattice.toInfSet.{u2} (MeasureTheory.OuterMeasure.{u2} β) (CompleteLattice.toConditionallyCompleteLattice.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} β))) ι (fun (i : ι) => FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (m i)))))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_infi MeasureTheory.OuterMeasure.map_infᵢₓ'. -/
-theorem map_infᵢ {ι β} {f : α → β} (hf : Injective f) (m : ι → OuterMeasure α) :
+  forall {α : Type.{u1}} {ι : Sort.{u3}} {β : Type.{u2}} {f : α -> β}, (Function.Injective.{succ u1, succ u2} α β f) -> (forall (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (iInf.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_infi MeasureTheory.OuterMeasure.map_iInfₓ'. -/
+theorem map_iInf {ι β} {f : α → β} (hf : Injective f) (m : ι → OuterMeasure α) :
     map f (⨅ i, m i) = restrict (range f) (⨅ i, map f (m i)) :=
   by
   refine' Eq.trans _ (map_comap _ _)
   simp only [comap_infi, comap_map hf]
-#align measure_theory.outer_measure.map_infi MeasureTheory.OuterMeasure.map_infᵢ
+#align measure_theory.outer_measure.map_infi MeasureTheory.OuterMeasure.map_iInf
 
-/- warning: measure_theory.outer_measure.map_infi_comap -> MeasureTheory.OuterMeasure.map_infᵢ_comap is a dubious translation:
+/- warning: measure_theory.outer_measure.map_infi_comap -> MeasureTheory.OuterMeasure.map_iInf_comap is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {ι : Sort.{u2}} {β : Type.{u3}} [_inst_1 : Nonempty.{u2} ι] {f : α -> β} (m : ι -> (MeasureTheory.OuterMeasure.{u3} β)), Eq.{succ u3} (MeasureTheory.OuterMeasure.{u3} β) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => coeFn.{max (succ u3) (succ u1), max (succ u3) (succ u1)} (LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal 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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u3} α β f) (m i)))) (infᵢ.{u3, u2} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) ι (fun (i : ι) => coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (coeFn.{max (succ u3) (succ u1), max (succ u3) (succ u1)} (LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal 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ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u3} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u3, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u3} α β f) (m i))))
+  forall {α : Type.{u1}} {ι : Sort.{u2}} {β : Type.{u3}} [_inst_1 : Nonempty.{u2} ι] {f : α -> β} (m : ι -> (MeasureTheory.OuterMeasure.{u3} β)), Eq.{succ u3} (MeasureTheory.OuterMeasure.{u3} β) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => coeFn.{max (succ u3) (succ u1), max (succ u3) (succ u1)} (LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u3} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u3, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal 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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u3} α β f) (m i)))) (iInf.{u3, u2} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) ι (fun (i : ι) => coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (coeFn.{max (succ u3) (succ u1), max (succ u3) (succ u1)} (LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal 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ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u3} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u3, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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 but is expected to have type
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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal 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(CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (m i))))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_infi_comap MeasureTheory.OuterMeasure.map_infᵢ_comapₓ'. -/
-theorem map_infᵢ_comap {ι β} [Nonempty ι] {f : α → β} (m : ι → OuterMeasure β) :
+  forall {α : Type.{u1}} {ι : Sort.{u3}} {β : Type.{u2}} [_inst_1 : Nonempty.{u3} ι] {f : α -> β} (m : ι -> (MeasureTheory.OuterMeasure.{u2} β)), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (iInf.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (fun (a : MeasureTheory.OuterMeasure.{u2} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u2} β) => MeasureTheory.OuterMeasure.{u1} α) a) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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(CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} 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+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_infi_comap MeasureTheory.OuterMeasure.map_iInf_comapₓ'. -/
+theorem map_iInf_comap {ι β} [Nonempty ι] {f : α → β} (m : ι → OuterMeasure β) :
     map f (⨅ i, comap f (m i)) = ⨅ i, map f (comap f (m i)) :=
   by
   refine' (map_infi_le _ _).antisymm fun s => _
-  simp only [map_apply, comap_apply, infᵢ_apply, le_infᵢ_iff]
-  refine' fun t ht => infᵢ_le_of_le (fun n => f '' t n ∪ range fᶜ) (infᵢ_le_of_le _ _)
+  simp only [map_apply, comap_apply, iInf_apply, le_iInf_iff]
+  refine' fun t ht => iInf_le_of_le (fun n => f '' t n ∪ range fᶜ) (iInf_le_of_le _ _)
   · rw [← Union_union, Set.union_comm, ← inter_subset, ← image_Union, ←
       image_preimage_eq_inter_range]
     exact image_subset _ ht
-  · refine' ENNReal.tsum_le_tsum fun n => infᵢ_mono fun i => (m i).mono _
+  · refine' ENNReal.tsum_le_tsum fun n => iInf_mono fun i => (m i).mono _
     simp
-#align measure_theory.outer_measure.map_infi_comap MeasureTheory.OuterMeasure.map_infᵢ_comap
+#align measure_theory.outer_measure.map_infi_comap MeasureTheory.OuterMeasure.map_iInf_comap
 
-/- warning: measure_theory.outer_measure.map_binfi_comap -> MeasureTheory.OuterMeasure.map_binfᵢ_comap is a dubious translation:
+/- warning: measure_theory.outer_measure.map_binfi_comap -> MeasureTheory.OuterMeasure.map_biInf_comap is a dubious translation:
 lean 3 declaration is
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(MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal 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(MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (infᵢ.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => infᵢ.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => coeFn.{max (succ u3) (succ u1), max (succ u3) (succ u1)} (LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u3} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u3, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u3} α β f) (m i))))) (infᵢ.{u3, succ u2} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) ι (fun (i : ι) => infᵢ.{u3, 0} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u3} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u3, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u3} α β f) (m i))))))
+  forall {α : Type.{u1}} {ι : Type.{u2}} {β : Type.{u3}} {I : Set.{u2} ι}, (Set.Nonempty.{u2} ι I) -> (forall {f : α -> β} (m : ι -> (MeasureTheory.OuterMeasure.{u3} β)), Eq.{succ u3} (MeasureTheory.OuterMeasure.{u3} β) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => coeFn.{max (succ u3) (succ u1), max (succ u3) (succ u1)} (LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u3} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u3, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u3} α β f) (m i))))) (iInf.{u3, succ u2} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) ι (fun (i : ι) => iInf.{u3, 0} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u3} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u3, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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 but is expected to have type
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(h._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.16667 : Membership.mem.{u3, u3} ι (Set.{u3} ι) (Set.instMembershipSet.{u3} ι) i I) => FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal 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(MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} 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(CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (m i))))))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_binfi_comap MeasureTheory.OuterMeasure.map_binfᵢ_comapₓ'. -/
-theorem map_binfᵢ_comap {ι β} {I : Set ι} (hI : I.Nonempty) {f : α → β} (m : ι → OuterMeasure β) :
+  forall {α : Type.{u1}} {ι : Type.{u3}} {β : Type.{u2}} {I : Set.{u3} ι}, (Set.Nonempty.{u3} ι I) -> (forall {f : α -> β} (m : ι -> (MeasureTheory.OuterMeasure.{u2} β)), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (iInf.{u1, succ u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u3, u3} ι (Set.{u3} ι) (Set.instMembershipSet.{u3} ι) i I) (fun (h._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.16667 : Membership.mem.{u3, u3} ι (Set.{u3} ι) (Set.instMembershipSet.{u3} ι) i I) => FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (fun (a : MeasureTheory.OuterMeasure.{u2} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u2} β) => MeasureTheory.OuterMeasure.{u1} α) a) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal 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ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (m i))))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} 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(CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} 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+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_binfi_comap MeasureTheory.OuterMeasure.map_biInf_comapₓ'. -/
+theorem map_biInf_comap {ι β} {I : Set ι} (hI : I.Nonempty) {f : α → β} (m : ι → OuterMeasure β) :
     map f (⨅ i ∈ I, comap f (m i)) = ⨅ i ∈ I, map f (comap f (m i)) :=
   by
   haveI := hI.to_subtype
-  rw [← infᵢ_subtype'', ← infᵢ_subtype'']
+  rw [← iInf_subtype'', ← iInf_subtype'']
   exact map_infi_comap _
-#align measure_theory.outer_measure.map_binfi_comap MeasureTheory.OuterMeasure.map_binfᵢ_comap
+#align measure_theory.outer_measure.map_binfi_comap MeasureTheory.OuterMeasure.map_biInf_comap
 
-/- warning: measure_theory.outer_measure.restrict_infi_restrict -> MeasureTheory.OuterMeasure.restrict_infᵢ_restrict is a dubious translation:
+/- warning: measure_theory.outer_measure.restrict_infi_restrict -> MeasureTheory.OuterMeasure.restrict_iInf_restrict is a dubious translation:
 lean 3 declaration is
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(MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i)))
+  forall {α : Type.{u1}} {ι : Sort.{u2}} (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i)))
 but is expected to have type
-  forall {α : Type.{u1}} {ι : Sort.{u2}} (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (a : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) a) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i)))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_infi_restrict MeasureTheory.OuterMeasure.restrict_infᵢ_restrictₓ'. -/
-theorem restrict_infᵢ_restrict {ι} (s : Set α) (m : ι → OuterMeasure α) :
+  forall {α : Type.{u1}} {ι : Sort.{u2}} (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (a : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) a) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal 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(MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_infi_restrict MeasureTheory.OuterMeasure.restrict_iInf_restrictₓ'. -/
+theorem restrict_iInf_restrict {ι} (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨅ i, restrict s (m i)) = restrict s (⨅ i, m i) :=
   calc
     restrict s (⨅ i, restrict s (m i)) = restrict (range (coe : s → α)) (⨅ i, restrict s (m i)) :=
       by rw [Subtype.range_coe]
-    _ = map (coe : s → α) (⨅ i, comap coe (m i)) := (map_infᵢ Subtype.coe_injective _).symm
-    _ = restrict s (⨅ i, m i) := congr_arg (map coe) (comap_infᵢ _ _).symm
+    _ = map (coe : s → α) (⨅ i, comap coe (m i)) := (map_iInf Subtype.coe_injective _).symm
+    _ = restrict s (⨅ i, m i) := congr_arg (map coe) (comap_iInf _ _).symm
     
-#align measure_theory.outer_measure.restrict_infi_restrict MeasureTheory.OuterMeasure.restrict_infᵢ_restrict
+#align measure_theory.outer_measure.restrict_infi_restrict MeasureTheory.OuterMeasure.restrict_iInf_restrict
 
-/- warning: measure_theory.outer_measure.restrict_infi -> MeasureTheory.OuterMeasure.restrict_infᵢ is a dubious translation:
+/- warning: measure_theory.outer_measure.restrict_infi -> MeasureTheory.OuterMeasure.restrict_iInf is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {ι : Sort.{u2}} [_inst_1 : Nonempty.{u2} ι] (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))
+  forall {α : Type.{u1}} {ι : Sort.{u2}} [_inst_1 : Nonempty.{u2} ι] (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))
 but is expected to have type
-  forall {α : Type.{u1}} {ι : Sort.{u2}} [_inst_1 : Nonempty.{u2} ι] (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_infi MeasureTheory.OuterMeasure.restrict_infᵢₓ'. -/
-theorem restrict_infᵢ {ι} [Nonempty ι] (s : Set α) (m : ι → OuterMeasure α) :
+  forall {α : Type.{u1}} {ι : Sort.{u2}} [_inst_1 : Nonempty.{u2} ι] (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (iInf.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_infi MeasureTheory.OuterMeasure.restrict_iInfₓ'. -/
+theorem restrict_iInf {ι} [Nonempty ι] (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨅ i, m i) = ⨅ i, restrict s (m i) :=
-  (congr_arg (map coe) (comap_infᵢ _ _)).trans (map_infᵢ_comap _)
-#align measure_theory.outer_measure.restrict_infi MeasureTheory.OuterMeasure.restrict_infᵢ
+  (congr_arg (map coe) (comap_iInf _ _)).trans (map_iInf_comap _)
+#align measure_theory.outer_measure.restrict_infi MeasureTheory.OuterMeasure.restrict_iInf
 
-/- warning: measure_theory.outer_measure.restrict_binfi -> MeasureTheory.OuterMeasure.restrict_binfᵢ is a dubious translation:
+/- warning: measure_theory.outer_measure.restrict_binfi -> MeasureTheory.OuterMeasure.restrict_biInf is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {ι : Type.{u2}} {I : Set.{u2} ι}, (Set.Nonempty.{u2} ι I) -> (forall (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (infᵢ.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => infᵢ.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => m i)))) (infᵢ.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => infᵢ.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))))
+  forall {α : Type.{u1}} {ι : Type.{u2}} {I : Set.{u2} ι}, (Set.Nonempty.{u2} ι I) -> (forall (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => m i)))) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))))
 but is expected to have type
-  forall {α : Type.{u1}} {ι : Type.{u2}} {I : Set.{u2} ι}, (Set.Nonempty.{u2} ι I) -> (forall (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (infᵢ.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => infᵢ.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (h._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.17167 : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => m i)))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (infᵢ.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => infᵢ.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => m i)))) (infᵢ.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => infᵢ.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_binfi MeasureTheory.OuterMeasure.restrict_binfᵢₓ'. -/
-theorem restrict_binfᵢ {ι} {I : Set ι} (hI : I.Nonempty) (s : Set α) (m : ι → OuterMeasure α) :
+  forall {α : Type.{u1}} {ι : Type.{u2}} {I : Set.{u2} ι}, (Set.Nonempty.{u2} ι I) -> (forall (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (h._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.17167 : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => m i)))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => m i)))) (iInf.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => iInf.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_binfi MeasureTheory.OuterMeasure.restrict_biInfₓ'. -/
+theorem restrict_biInf {ι} {I : Set ι} (hI : I.Nonempty) (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨅ i ∈ I, m i) = ⨅ i ∈ I, restrict s (m i) :=
   by
   haveI := hI.to_subtype
-  rw [← infᵢ_subtype'', ← infᵢ_subtype'']
+  rw [← iInf_subtype'', ← iInf_subtype'']
   exact restrict_infi _ _
-#align measure_theory.outer_measure.restrict_binfi MeasureTheory.OuterMeasure.restrict_binfᵢ
+#align measure_theory.outer_measure.restrict_binfi MeasureTheory.OuterMeasure.restrict_biInf
 
-/- warning: measure_theory.outer_measure.restrict_Inf_eq_Inf_restrict -> MeasureTheory.OuterMeasure.restrict_infₛ_eq_infₛ_restrict is a dubious translation:
+/- warning: measure_theory.outer_measure.restrict_Inf_eq_Inf_restrict -> MeasureTheory.OuterMeasure.restrict_sInf_eq_sInf_restrict is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} (m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) {s : Set.{u1} α}, (Set.Nonempty.{u1} (MeasureTheory.OuterMeasure.{u1} α) m) -> (Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (InfSet.infₛ.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m)) (InfSet.infₛ.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Set.image.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s)) m)))
+  forall {α : Type.{u1}} (m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) {s : Set.{u1} α}, (Set.Nonempty.{u1} (MeasureTheory.OuterMeasure.{u1} α) m) -> (Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (InfSet.sInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m)) (InfSet.sInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Set.image.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s)) m)))
 but is expected to have type
-  forall {α : Type.{u1}} (m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) {s : Set.{u1} α}, (Set.Nonempty.{u1} (MeasureTheory.OuterMeasure.{u1} α) m) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (InfSet.infₛ.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (InfSet.infₛ.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m)) (InfSet.infₛ.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Set.image.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s)) m)))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_Inf_eq_Inf_restrict MeasureTheory.OuterMeasure.restrict_infₛ_eq_infₛ_restrictₓ'. -/
+  forall {α : Type.{u1}} (m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) {s : Set.{u1} α}, (Set.Nonempty.{u1} (MeasureTheory.OuterMeasure.{u1} α) m) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (InfSet.sInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (InfSet.sInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m)) (InfSet.sInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Set.image.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s)) m)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_Inf_eq_Inf_restrict MeasureTheory.OuterMeasure.restrict_sInf_eq_sInf_restrictₓ'. -/
 /-- This proves that Inf and restrict commute for outer measures, so long as the set of
 outer measures is nonempty. -/
-theorem restrict_infₛ_eq_infₛ_restrict (m : Set (OuterMeasure α)) {s : Set α} (hm : m.Nonempty) :
-    restrict s (infₛ m) = infₛ (restrict s '' m) := by
-  simp only [infₛ_eq_infᵢ, restrict_binfi, hm, infᵢ_image]
-#align measure_theory.outer_measure.restrict_Inf_eq_Inf_restrict MeasureTheory.OuterMeasure.restrict_infₛ_eq_infₛ_restrict
+theorem restrict_sInf_eq_sInf_restrict (m : Set (OuterMeasure α)) {s : Set α} (hm : m.Nonempty) :
+    restrict s (sInf m) = sInf (restrict s '' m) := by
+  simp only [sInf_eq_iInf, restrict_binfi, hm, iInf_image]
+#align measure_theory.outer_measure.restrict_Inf_eq_Inf_restrict MeasureTheory.OuterMeasure.restrict_sInf_eq_sInf_restrict
 
 end InfGen
 
@@ -2146,7 +2146,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align measure_theory.le_extend MeasureTheory.le_extendₓ'. -/
 theorem le_extend {s : α} (h : P s) : m s h ≤ extend m s :=
   by
-  simp only [extend, le_infᵢ_iff]
+  simp only [extend, le_iInf_iff]
   intro
   rfl
 #align measure_theory.le_extend MeasureTheory.le_extend
@@ -2156,13 +2156,13 @@ theorem le_extend {s : α} (h : P s) : m s h ≤ extend m s :=
 theorem extend_congr {β : Type _} {Pb : β → Prop} {mb : ∀ s : β, Pb s → ℝ≥0∞} {sa : α} {sb : β}
     (hP : P sa ↔ Pb sb) (hm : ∀ (ha : P sa) (hb : Pb sb), m sa ha = mb sb hb) :
     extend m sa = extend mb sb :=
-  infᵢ_congr_Prop hP fun h => hm _ _
+  iInf_congr_Prop hP fun h => hm _ _
 #align measure_theory.extend_congr MeasureTheory.extend_congr
 -/
 
 @[simp]
 theorem extend_top {α : Type _} {P : α → Prop} : extend (fun s h => ∞ : ∀ s : α, P s → ℝ≥0∞) = ⊤ :=
-  funext fun x => infᵢ_eq_top.mpr fun i => rfl
+  funext fun x => iInf_eq_top.mpr fun i => rfl
 #align measure_theory.extend_top MeasureTheory.extend_top
 
 end Extend
@@ -2196,32 +2196,32 @@ theorem extend_empty : extend m ∅ = 0 :=
   (extend_eq _ P0).trans m0
 #align measure_theory.extend_empty MeasureTheory.extend_empty
 
-/- warning: measure_theory.extend_Union_nat -> MeasureTheory.extend_unionᵢ_nat is a dubious translation:
+/- warning: measure_theory.extend_Union_nat -> MeasureTheory.extend_iUnion_nat is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))) {f : Nat -> (Set.{u1} α)} (hm : forall (i : Nat), P (f i)), (Eq.{1} ENNReal (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (Eq.{1} ENNReal (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i))) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (f i))))
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))) {f : Nat -> (Set.{u1} α)} (hm : forall (i : Nat), P (f i)), (Eq.{1} ENNReal (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (Eq.{1} ENNReal (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i))) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (f i))))
 but is expected to have type
-  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))) {f : Nat -> (Set.{u1} α)} (hm : forall (i : Nat), P (f i)), (Eq.{1} ENNReal (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (Eq.{1} ENNReal (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i))) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (f i))))
-Case conversion may be inaccurate. Consider using '#align measure_theory.extend_Union_nat MeasureTheory.extend_unionᵢ_natₓ'. -/
-theorem extend_unionᵢ_nat {f : ℕ → Set α} (hm : ∀ i, P (f i))
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))) {f : Nat -> (Set.{u1} α)} (hm : forall (i : Nat), P (f i)), (Eq.{1} ENNReal (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (Eq.{1} ENNReal (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i))) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (f i))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.extend_Union_nat MeasureTheory.extend_iUnion_natₓ'. -/
+theorem extend_iUnion_nat {f : ℕ → Set α} (hm : ∀ i, P (f i))
     (mU : m (⋃ i, f i) (PU hm) = ∑' i, m (f i) (hm i)) :
     extend m (⋃ i, f i) = ∑' i, extend m (f i) :=
   (extend_eq _ _).trans <|
     mU.trans <| by
       congr with i
       rw [extend_eq]
-#align measure_theory.extend_Union_nat MeasureTheory.extend_unionᵢ_nat
+#align measure_theory.extend_Union_nat MeasureTheory.extend_iUnion_nat
 
 section Subadditive
 
 include PU msU
 
-/- warning: measure_theory.extend_Union_le_tsum_nat' -> MeasureTheory.extend_unionᵢ_le_tsum_nat' is a dubious translation:
+/- warning: measure_theory.extend_Union_le_tsum_nat' -> MeasureTheory.extend_iUnion_le_tsum_nat' is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (s i))))
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (s i))))
 but is expected to have type
-  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (s i))))
-Case conversion may be inaccurate. Consider using '#align measure_theory.extend_Union_le_tsum_nat' MeasureTheory.extend_unionᵢ_le_tsum_nat'ₓ'. -/
-theorem extend_unionᵢ_le_tsum_nat' (s : ℕ → Set α) : extend m (⋃ i, s i) ≤ ∑' i, extend m (s i) :=
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (s i))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.extend_Union_le_tsum_nat' MeasureTheory.extend_iUnion_le_tsum_nat'ₓ'. -/
+theorem extend_iUnion_le_tsum_nat' (s : ℕ → Set α) : extend m (⋃ i, s i) ≤ ∑' i, extend m (s i) :=
   by
   by_cases h : ∀ i, P (s i)
   · rw [extend_eq _ (PU h), congr_arg tsum _]
@@ -2229,8 +2229,8 @@ theorem extend_unionᵢ_le_tsum_nat' (s : ℕ → Set α) : extend m (⋃ i, s i
     funext i
     apply extend_eq _ (h i)
   · cases' not_forall.1 h with i hi
-    exact le_trans (le_infᵢ fun h => hi.elim h) (ENNReal.le_tsum i)
-#align measure_theory.extend_Union_le_tsum_nat' MeasureTheory.extend_unionᵢ_le_tsum_nat'
+    exact le_trans (le_iInf fun h => hi.elim h) (ENNReal.le_tsum i)
+#align measure_theory.extend_Union_le_tsum_nat' MeasureTheory.extend_iUnion_le_tsum_nat'
 
 end Subadditive
 
@@ -2246,7 +2246,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align measure_theory.extend_mono' MeasureTheory.extend_mono'ₓ'. -/
 theorem extend_mono' ⦃s₁ s₂ : Set α⦄ (h₁ : P s₁) (hs : s₁ ⊆ s₂) : extend m s₁ ≤ extend m s₂ :=
   by
-  refine' le_infᵢ _
+  refine' le_iInf _
   intro h₂
   rw [extend_eq m h₁]
   exact m_mono h₁ h₂ hs
@@ -2258,29 +2258,29 @@ section Unions
 
 include P0 m0 PU mU
 
-/- warning: measure_theory.extend_Union -> MeasureTheory.extend_unionᵢ is a dubious translation:
+/- warning: measure_theory.extend_Union -> MeasureTheory.extend_iUnion is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} (P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))), (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (forall (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) f)) -> (Eq.{1} ENNReal (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {β : Type.{u2}} [_inst_1 : Countable.{succ u2} β] {f : β -> (Set.{u1} α)}, (Pairwise.{u2} β (Function.onFun.{succ u2, succ u1, 1} β (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) f)) -> (forall (i : β), P (f i)) -> (Eq.{1} ENNReal (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (Set.unionᵢ.{u1, succ u2} α β (fun (i : β) => f i))) (tsum.{0, u2} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace β (fun (i : β) => MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (f i))))))
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} (P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))), (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (forall (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) f)) -> (Eq.{1} ENNReal (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {β : Type.{u2}} [_inst_1 : Countable.{succ u2} β] {f : β -> (Set.{u1} α)}, (Pairwise.{u2} β (Function.onFun.{succ u2, succ u1, 1} β (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) f)) -> (forall (i : β), P (f i)) -> (Eq.{1} ENNReal (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (Set.iUnion.{u1, succ u2} α β (fun (i : β) => f i))) (tsum.{0, u2} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace β (fun (i : β) => MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (f i))))))
 but is expected to have type
-  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} (P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))), (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (forall (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) f)) -> (Eq.{1} ENNReal (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {β : Type.{u2}} [_inst_1 : Countable.{succ u2} β] {f : β -> (Set.{u1} α)}, (Pairwise.{u2} β (Function.onFun.{succ u2, succ u1, 1} β (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) f)) -> (forall (i : β), P (f i)) -> (Eq.{1} ENNReal (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (Set.unionᵢ.{u1, succ u2} α β (fun (i : β) => f i))) (tsum.{0, u2} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal β (fun (i : β) => MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (f i))))))
-Case conversion may be inaccurate. Consider using '#align measure_theory.extend_Union MeasureTheory.extend_unionᵢₓ'. -/
-theorem extend_unionᵢ {β} [Countable β] {f : β → Set α} (hd : Pairwise (Disjoint on f))
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} (P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))), (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (forall (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) f)) -> (Eq.{1} ENNReal (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {β : Type.{u2}} [_inst_1 : Countable.{succ u2} β] {f : β -> (Set.{u1} α)}, (Pairwise.{u2} β (Function.onFun.{succ u2, succ u1, 1} β (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) f)) -> (forall (i : β), P (f i)) -> (Eq.{1} ENNReal (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (Set.iUnion.{u1, succ u2} α β (fun (i : β) => f i))) (tsum.{0, u2} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal β (fun (i : β) => MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (f i))))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.extend_Union MeasureTheory.extend_iUnionₓ'. -/
+theorem extend_iUnion {β} [Countable β] {f : β → Set α} (hd : Pairwise (Disjoint on f))
     (hm : ∀ i, P (f i)) : extend m (⋃ i, f i) = ∑' i, extend m (f i) :=
   by
   cases nonempty_encodable β
-  rw [← Encodable.unionᵢ_decode₂, ← tsum_unionᵢ_decode₂]
+  rw [← Encodable.iUnion_decode₂, ← tsum_iUnion_decode₂]
   ·
     exact
-      extend_Union_nat PU (fun n => Encodable.unionᵢ_decode₂_cases P0 hm)
-        (mU _ (Encodable.unionᵢ_decode₂_disjoint_on hd))
+      extend_Union_nat PU (fun n => Encodable.iUnion_decode₂_cases P0 hm)
+        (mU _ (Encodable.iUnion_decode₂_disjoint_on hd))
   · exact extend_empty P0 m0
-#align measure_theory.extend_Union MeasureTheory.extend_unionᵢ
+#align measure_theory.extend_Union MeasureTheory.extend_iUnion
 
 /- warning: measure_theory.extend_union -> MeasureTheory.extend_union is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} (P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))), (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (forall (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) f)) -> (Eq.{1} ENNReal (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α))) s₁ s₂) -> (P s₁) -> (P s₂) -> (Eq.{1} ENNReal (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (Union.union.{u1} (Set.{u1} α) (Set.hasUnion.{u1} α) s₁ s₂)) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s₁) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s₂)))))
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} (P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))), (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (forall (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) f)) -> (Eq.{1} ENNReal (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α))) s₁ s₂) -> (P s₁) -> (P s₂) -> (Eq.{1} ENNReal (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (Union.union.{u1} (Set.{u1} α) (Set.hasUnion.{u1} α) s₁ s₂)) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s₁) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s₂)))))
 but is expected to have type
-  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} (P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))), (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (forall (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) f)) -> (Eq.{1} ENNReal (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) s₁ s₂) -> (P s₁) -> (P s₂) -> (Eq.{1} ENNReal (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (Union.union.{u1} (Set.{u1} α) (Set.instUnionSet.{u1} α) s₁ s₂)) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s₁) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s₂)))))
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} (P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))), (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (forall (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) f)) -> (Eq.{1} ENNReal (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) s₁ s₂) -> (P s₁) -> (P s₂) -> (Eq.{1} ENNReal (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (Union.union.{u1} (Set.{u1} α) (Set.instUnionSet.{u1} α) s₁ s₂)) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s₁) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s₂)))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.extend_union MeasureTheory.extend_unionₓ'. -/
 theorem extend_union {s₁ s₂ : Set α} (hd : Disjoint s₁ s₂) (h₁ : P s₁) (h₂ : P s₂) :
     extend m (s₁ ∪ s₂) = extend m s₁ + extend m s₂ :=
@@ -2317,7 +2317,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align measure_theory.le_induced_outer_measure MeasureTheory.le_inducedOuterMeasureₓ'. -/
 theorem le_inducedOuterMeasure {μ : OuterMeasure α} :
     μ ≤ inducedOuterMeasure m P0 m0 ↔ ∀ (s) (hs : P s), μ s ≤ m s hs :=
-  le_ofFunction.trans <| forall_congr' fun s => le_infᵢ_iff
+  le_ofFunction.trans <| forall_congr' fun s => le_iInf_iff
 #align measure_theory.le_induced_outer_measure MeasureTheory.le_inducedOuterMeasure
 
 /- warning: measure_theory.induced_outer_measure_union_of_false_of_nonempty_inter -> MeasureTheory.inducedOuterMeasure_union_of_false_of_nonempty_inter is a dubious translation:
@@ -2335,61 +2335,61 @@ theorem inducedOuterMeasure_union_of_false_of_nonempty_inter {s t : Set α}
     (h : ∀ u, (s ∩ u).Nonempty → (t ∩ u).Nonempty → ¬P u) :
     inducedOuterMeasure m P0 m0 (s ∪ t) =
       inducedOuterMeasure m P0 m0 s + inducedOuterMeasure m P0 m0 t :=
-  ofFunction_union_of_top_of_nonempty_inter fun u hsu htu => @infᵢ_of_empty _ _ _ ⟨h u hsu htu⟩ _
+  ofFunction_union_of_top_of_nonempty_inter fun u hsu htu => @iInf_of_empty _ _ _ ⟨h u hsu htu⟩ _
 #align measure_theory.induced_outer_measure_union_of_false_of_nonempty_inter MeasureTheory.inducedOuterMeasure_union_of_false_of_nonempty_inter
 
 include msU m_mono
 
 /- warning: measure_theory.induced_outer_measure_eq_extend' -> MeasureTheory.inducedOuterMeasure_eq_extend' is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {s : Set.{u1} α}, (P s) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s)))
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {s : Set.{u1} α}, (P s) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s)))
 but is expected to have type
-  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {s : Set.{u1} α}, (P s) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s)))
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {s : Set.{u1} α}, (P s) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_eq_extend' MeasureTheory.inducedOuterMeasure_eq_extend'ₓ'. -/
 theorem inducedOuterMeasure_eq_extend' {s : Set α} (hs : P s) :
     inducedOuterMeasure m P0 m0 s = extend m s :=
-  ofFunction_eq s (fun t => extend_mono' m_mono hs) (extend_unionᵢ_le_tsum_nat' PU msU)
+  ofFunction_eq s (fun t => extend_mono' m_mono hs) (extend_iUnion_le_tsum_nat' PU msU)
 #align measure_theory.induced_outer_measure_eq_extend' MeasureTheory.inducedOuterMeasure_eq_extend'
 
 /- warning: measure_theory.induced_outer_measure_eq' -> MeasureTheory.inducedOuterMeasure_eq' is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {s : Set.{u1} α} (hs : P s), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (m s hs))
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {s : Set.{u1} α} (hs : P s), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (m s hs))
 but is expected to have type
-  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {s : Set.{u1} α} (hs : P s), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (m s hs))
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {s : Set.{u1} α} (hs : P s), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (m s hs))
 Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_eq' MeasureTheory.inducedOuterMeasure_eq'ₓ'. -/
 theorem inducedOuterMeasure_eq' {s : Set α} (hs : P s) : inducedOuterMeasure m P0 m0 s = m s hs :=
   (inducedOuterMeasure_eq_extend' PU msU m_mono hs).trans <| extend_eq _ _
 #align measure_theory.induced_outer_measure_eq' MeasureTheory.inducedOuterMeasure_eq'
 
-/- warning: measure_theory.induced_outer_measure_eq_infi -> MeasureTheory.inducedOuterMeasure_eq_infᵢ is a dubious translation:
+/- warning: measure_theory.induced_outer_measure_eq_infi -> MeasureTheory.inducedOuterMeasure_eq_iInf is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Set.{u1} α) (fun (t : Set.{u1} α) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (P t) (fun (ht : P t) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (fun (h : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) => m t ht)))))
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Set.{u1} α) (fun (t : Set.{u1} α) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (P t) (fun (ht : P t) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (fun (h : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) => m t ht)))))
 but is expected to have type
-  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Set.{u1} α) (fun (t : Set.{u1} α) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (P t) (fun (ht : P t) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) (fun (h : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) => m t ht)))))
-Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_eq_infi MeasureTheory.inducedOuterMeasure_eq_infᵢₓ'. -/
-theorem inducedOuterMeasure_eq_infᵢ (s : Set α) :
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Set.{u1} α) (fun (t : Set.{u1} α) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (P t) (fun (ht : P t) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) (fun (h : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) => m t ht)))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_eq_infi MeasureTheory.inducedOuterMeasure_eq_iInfₓ'. -/
+theorem inducedOuterMeasure_eq_iInf (s : Set α) :
     inducedOuterMeasure m P0 m0 s = ⨅ (t : Set α) (ht : P t) (h : s ⊆ t), m t ht :=
   by
   apply le_antisymm
-  · simp only [le_infᵢ_iff]
+  · simp only [le_iInf_iff]
     intro t ht hs
     refine' le_trans (mono' _ hs) _
     exact le_of_eq (induced_outer_measure_eq' _ msU m_mono _)
-  · refine' le_infᵢ _
+  · refine' le_iInf _
     intro f
-    refine' le_infᵢ _
+    refine' le_iInf _
     intro hf
     refine' le_trans _ (extend_Union_le_tsum_nat' _ msU _)
-    refine' le_infᵢ _
+    refine' le_iInf _
     intro h2f
-    refine' infᵢ_le_of_le _ (infᵢ_le_of_le h2f <| infᵢ_le _ hf)
-#align measure_theory.induced_outer_measure_eq_infi MeasureTheory.inducedOuterMeasure_eq_infᵢ
+    refine' iInf_le_of_le _ (iInf_le_of_le h2f <| iInf_le _ hf)
+#align measure_theory.induced_outer_measure_eq_infi MeasureTheory.inducedOuterMeasure_eq_iInf
 
 /- warning: measure_theory.induced_outer_measure_preimage -> MeasureTheory.inducedOuterMeasure_preimage is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall (f : Equiv.{succ u1, succ u1} α α) (Pm : forall (s : Set.{u1} α), Iff (P (Set.preimage.{u1, u1} α α (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) (fun (_x : Equiv.{succ u1, succ u1} α α) => α -> α) (Equiv.hasCoeToFun.{succ u1, succ u1} α α) f) s)) (P s)), (forall (s : Set.{u1} α) (hs : P s), Eq.{1} ENNReal (m (Set.preimage.{u1, u1} α α (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) (fun (_x : Equiv.{succ u1, succ u1} α α) => α -> α) (Equiv.hasCoeToFun.{succ u1, succ u1} α α) f) s) (Iff.mpr (P (Set.preimage.{u1, u1} α α (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) (fun (_x : Equiv.{succ u1, succ u1} α α) => α -> α) (Equiv.hasCoeToFun.{succ u1, succ u1} α α) f) s)) (P s) (Pm s) hs)) (m s hs)) -> (forall {A : Set.{u1} α}, Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (Set.preimage.{u1, u1} α α (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) (fun (_x : Equiv.{succ u1, succ u1} α α) => α -> α) (Equiv.hasCoeToFun.{succ u1, succ u1} α α) f) A)) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) A)))
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall (f : Equiv.{succ u1, succ u1} α α) (Pm : forall (s : Set.{u1} α), Iff (P (Set.preimage.{u1, u1} α α (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) (fun (_x : Equiv.{succ u1, succ u1} α α) => α -> α) (Equiv.hasCoeToFun.{succ u1, succ u1} α α) f) s)) (P s)), (forall (s : Set.{u1} α) (hs : P s), Eq.{1} ENNReal (m (Set.preimage.{u1, u1} α α (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) (fun (_x : Equiv.{succ u1, succ u1} α α) => α -> α) (Equiv.hasCoeToFun.{succ u1, succ u1} α α) f) s) (Iff.mpr (P (Set.preimage.{u1, u1} α α (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) (fun (_x : Equiv.{succ u1, succ u1} α α) => α -> α) (Equiv.hasCoeToFun.{succ u1, succ u1} α α) f) s)) (P s) (Pm s) hs)) (m s hs)) -> (forall {A : Set.{u1} α}, Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (Set.preimage.{u1, u1} α α (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) (fun (_x : Equiv.{succ u1, succ u1} α α) => α -> α) (Equiv.hasCoeToFun.{succ u1, succ u1} α α) f) A)) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) A)))
 but is expected to have type
-  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall (f : Equiv.{succ u1, succ u1} α α) (Pm : forall (s : Set.{u1} α), Iff (P (Set.preimage.{u1, u1} α α (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) α (fun (_x : α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : α) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} α α) f) s)) (P s)), (forall (s : Set.{u1} α) (hs : P s), Eq.{1} ENNReal (m (Set.preimage.{u1, u1} α α (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) α (fun (_x : α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : α) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} α α) f) s) (Iff.mpr (P (Set.preimage.{u1, u1} α α (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) α (fun (_x : α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : α) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} α α) f) s)) (P s) (Pm s) hs)) (m s hs)) -> (forall {A : Set.{u1} α}, Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (Set.preimage.{u1, u1} α α (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) α (fun (_x : α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : α) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} α α) f) A)) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) A)))
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall (f : Equiv.{succ u1, succ u1} α α) (Pm : forall (s : Set.{u1} α), Iff (P (Set.preimage.{u1, u1} α α (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) α (fun (_x : α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : α) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} α α) f) s)) (P s)), (forall (s : Set.{u1} α) (hs : P s), Eq.{1} ENNReal (m (Set.preimage.{u1, u1} α α (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) α (fun (_x : α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : α) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} α α) f) s) (Iff.mpr (P (Set.preimage.{u1, u1} α α (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) α (fun (_x : α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : α) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} α α) f) s)) (P s) (Pm s) hs)) (m s hs)) -> (forall {A : Set.{u1} α}, Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (Set.preimage.{u1, u1} α α (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) α (fun (_x : α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : α) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} α α) f) A)) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) A)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_preimage MeasureTheory.inducedOuterMeasure_preimageₓ'. -/
 theorem inducedOuterMeasure_preimage (f : α ≃ α) (Pm : ∀ s : Set α, P (f ⁻¹' s) ↔ P s)
     (mm : ∀ (s : Set α) (hs : P s), m (f ⁻¹' s) ((Pm _).mpr hs) = m s hs) {A : Set α} :
@@ -2397,16 +2397,16 @@ theorem inducedOuterMeasure_preimage (f : α ≃ α) (Pm : ∀ s : Set α, P (f
   by
   simp only [induced_outer_measure_eq_infi _ msU m_mono]; symm
   refine' f.injective.preimage_surjective.infi_congr (preimage f) fun s => _
-  refine' infᵢ_congr_Prop (Pm s) _; intro hs
-  refine' infᵢ_congr_Prop f.surjective.preimage_subset_preimage_iff _
+  refine' iInf_congr_Prop (Pm s) _; intro hs
+  refine' iInf_congr_Prop f.surjective.preimage_subset_preimage_iff _
   intro h2s; exact mm s hs
 #align measure_theory.induced_outer_measure_preimage MeasureTheory.inducedOuterMeasure_preimage
 
 /- warning: measure_theory.induced_outer_measure_exists_set -> MeasureTheory.inducedOuterMeasure_exists_set is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {s : Set.{u1} α}, (Ne.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (Top.top.{0} ENNReal (CompleteLattice.toHasTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder)))) -> (forall {ε : ENNReal}, (Ne.{1} ENNReal ε (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (Exists.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => Exists.{0} (P t) (fun (ht : P t) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) t) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) ε)))))))
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {s : Set.{u1} α}, (Ne.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (Top.top.{0} ENNReal (CompleteLattice.toHasTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder)))) -> (forall {ε : ENNReal}, (Ne.{1} ENNReal ε (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (Exists.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => Exists.{0} (P t) (fun (ht : P t) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) t) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) ε)))))))
 but is expected to have type
-  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {s : Set.{u1} α}, (Ne.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (Top.top.{0} ENNReal (CompleteLattice.toTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) -> (forall {ε : ENNReal}, (Ne.{1} ENNReal ε (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (Exists.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => Exists.{0} (P t) (fun (ht : P t) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) t) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) ε)))))))
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {s : Set.{u1} α}, (Ne.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (Top.top.{0} ENNReal (CompleteLattice.toTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) -> (forall {ε : ENNReal}, (Ne.{1} ENNReal ε (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (Exists.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => Exists.{0} (P t) (fun (ht : P t) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) t) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) ε)))))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_exists_set MeasureTheory.inducedOuterMeasure_exists_setₓ'. -/
 theorem inducedOuterMeasure_exists_set {s : Set α} (hs : inducedOuterMeasure m P0 m0 s ≠ ∞)
     {ε : ℝ≥0∞} (hε : ε ≠ 0) :
@@ -2417,7 +2417,7 @@ theorem inducedOuterMeasure_exists_set {s : Set α} (hs : inducedOuterMeasure m
   conv at this =>
     lhs
     rw [induced_outer_measure_eq_infi _ msU m_mono]
-  simp only [infᵢ_lt_iff] at this
+  simp only [iInf_lt_iff] at this
   rcases this with ⟨t, h1t, h2t, h3t⟩
   exact
     ⟨t, h1t, h2t, le_trans (le_of_eq <| induced_outer_measure_eq' _ msU m_mono h1t) (le_of_lt h3t)⟩
@@ -2425,9 +2425,9 @@ theorem inducedOuterMeasure_exists_set {s : Set α} (hs : inducedOuterMeasure m
 
 /- warning: measure_theory.induced_outer_measure_caratheodory -> MeasureTheory.inducedOuterMeasure_caratheodory is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall (s : Set.{u1} α), Iff (MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0)) s) (forall (t : Set.{u1} α), (P t) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t s)) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (SDiff.sdiff.{u1} (Set.{u1} α) (BooleanAlgebra.toHasSdiff.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)) t s))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) t))))
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall (s : Set.{u1} α), Iff (MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0)) s) (forall (t : Set.{u1} α), (P t) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t s)) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (SDiff.sdiff.{u1} (Set.{u1} α) (BooleanAlgebra.toHasSdiff.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)) t s))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) t))))
 but is expected to have type
-  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall (s : Set.{u1} α), Iff (MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0)) s) (forall (t : Set.{u1} α), (P t) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (SDiff.sdiff.{u1} (Set.{u1} α) (Set.instSDiffSet.{u1} α) t s))) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) t))))
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall (s : Set.{u1} α), Iff (MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0)) s) (forall (t : Set.{u1} α), (P t) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (SDiff.sdiff.{u1} (Set.{u1} α) (Set.instSDiffSet.{u1} α) t s))) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) t))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_caratheodory MeasureTheory.inducedOuterMeasure_caratheodoryₓ'. -/
 /-- To test whether `s` is Carathéodory-measurable we only need to check the sets `t` for which
   `P t` holds. See `of_function_caratheodory` for another way to show the Carathéodory-measurability
@@ -2446,11 +2446,11 @@ theorem inducedOuterMeasure_caratheodory (s : Set α) :
     exact h t
   · intro h u
     conv_rhs => rw [induced_outer_measure_eq_infi _ msU m_mono]
-    refine' le_infᵢ _
+    refine' le_iInf _
     intro t
-    refine' le_infᵢ _
+    refine' le_iInf _
     intro ht
-    refine' le_infᵢ _
+    refine' le_iInf _
     intro h2t
     refine' le_trans _ (le_trans (h t ht) <| le_of_eq <| induced_outer_measure_eq' _ msU m_mono ht)
     refine'
@@ -2475,59 +2475,59 @@ variable (m0 : m ∅ MeasurableSet.empty = 0)
 variable
   (mU :
     ∀ ⦃f : ℕ → Set α⦄ (hm : ∀ i, MeasurableSet (f i)),
-      Pairwise (Disjoint on f) → m (⋃ i, f i) (MeasurableSet.unionᵢ hm) = ∑' i, m (f i) (hm i))
+      Pairwise (Disjoint on f) → m (⋃ i, f i) (MeasurableSet.iUnion hm) = ∑' i, m (f i) (hm i))
 
 include m0 mU
 
 /- warning: measure_theory.extend_mono -> MeasureTheory.extend_mono is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> ENNReal}, (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) (MeasurableSet.empty.{u1} α _inst_1)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), MeasurableSet.{u1} α _inst_1 (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) f)) -> (Eq.{1} ENNReal (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (MeasurableSet.unionᵢ.{u1, 1} α Nat _inst_1 Nat.countable (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (MeasurableSet.{u1} α _inst_1 s₁) -> (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m s₁) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m s₂)))
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> ENNReal}, (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) (MeasurableSet.empty.{u1} α _inst_1)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), MeasurableSet.{u1} α _inst_1 (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) f)) -> (Eq.{1} ENNReal (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (MeasurableSet.iUnion.{u1, 1} α Nat _inst_1 Nat.countable (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (MeasurableSet.{u1} α _inst_1 s₁) -> (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m s₁) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m s₂)))
 but is expected to have type
-  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> ENNReal}, (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) (MeasurableSet.empty.{u1} α _inst_1)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), MeasurableSet.{u1} α _inst_1 (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) f)) -> (Eq.{1} ENNReal (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (MeasurableSet.unionᵢ.{u1, 1} α Nat _inst_1 instCountableNat (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (MeasurableSet.{u1} α _inst_1 s₁) -> (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m s₁) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m s₂)))
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> ENNReal}, (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) (MeasurableSet.empty.{u1} α _inst_1)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), MeasurableSet.{u1} α _inst_1 (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) f)) -> (Eq.{1} ENNReal (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (MeasurableSet.iUnion.{u1, 1} α Nat _inst_1 instCountableNat (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (MeasurableSet.{u1} α _inst_1 s₁) -> (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m s₁) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m s₂)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.extend_mono MeasureTheory.extend_monoₓ'. -/
 theorem extend_mono {s₁ s₂ : Set α} (h₁ : MeasurableSet s₁) (hs : s₁ ⊆ s₂) :
     extend m s₁ ≤ extend m s₂ := by
-  refine' le_infᵢ _; intro h₂
+  refine' le_iInf _; intro h₂
   have :=
-    extend_union MeasurableSet.empty m0 MeasurableSet.unionᵢ mU disjoint_sdiff_self_right h₁
+    extend_union MeasurableSet.empty m0 MeasurableSet.iUnion mU disjoint_sdiff_self_right h₁
       (h₂.diff h₁)
   rw [union_diff_cancel hs] at this
   rw [← extend_eq m]
   exact le_iff_exists_add.2 ⟨_, this⟩
 #align measure_theory.extend_mono MeasureTheory.extend_mono
 
-/- warning: measure_theory.extend_Union_le_tsum_nat -> MeasureTheory.extend_unionᵢ_le_tsum_nat is a dubious translation:
+/- warning: measure_theory.extend_Union_le_tsum_nat -> MeasureTheory.extend_iUnion_le_tsum_nat is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> ENNReal}, (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) (MeasurableSet.empty.{u1} α _inst_1)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), MeasurableSet.{u1} α _inst_1 (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) f)) -> (Eq.{1} ENNReal (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (MeasurableSet.unionᵢ.{u1, 1} α Nat _inst_1 Nat.countable (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m (s i))))
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> ENNReal}, (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) (MeasurableSet.empty.{u1} α _inst_1)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), MeasurableSet.{u1} α _inst_1 (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) f)) -> (Eq.{1} ENNReal (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (MeasurableSet.iUnion.{u1, 1} α Nat _inst_1 Nat.countable (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m (s i))))
 but is expected to have type
-  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> ENNReal}, (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) (MeasurableSet.empty.{u1} α _inst_1)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), MeasurableSet.{u1} α _inst_1 (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) f)) -> (Eq.{1} ENNReal (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (MeasurableSet.unionᵢ.{u1, 1} α Nat _inst_1 instCountableNat (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m (s i))))
-Case conversion may be inaccurate. Consider using '#align measure_theory.extend_Union_le_tsum_nat MeasureTheory.extend_unionᵢ_le_tsum_natₓ'. -/
-theorem extend_unionᵢ_le_tsum_nat : ∀ s : ℕ → Set α, extend m (⋃ i, s i) ≤ ∑' i, extend m (s i) :=
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> ENNReal}, (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) (MeasurableSet.empty.{u1} α _inst_1)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), MeasurableSet.{u1} α _inst_1 (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) f)) -> (Eq.{1} ENNReal (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (MeasurableSet.iUnion.{u1, 1} α Nat _inst_1 instCountableNat (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m (s i))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.extend_Union_le_tsum_nat MeasureTheory.extend_iUnion_le_tsum_natₓ'. -/
+theorem extend_iUnion_le_tsum_nat : ∀ s : ℕ → Set α, extend m (⋃ i, s i) ≤ ∑' i, extend m (s i) :=
   by
-  refine' extend_Union_le_tsum_nat' MeasurableSet.unionᵢ _; intro f h
+  refine' extend_Union_le_tsum_nat' MeasurableSet.iUnion _; intro f h
   simp (config := { singlePass := true }) [Union_disjointed.symm]
   rw [mU (MeasurableSet.disjointed h) (disjoint_disjointed _)]
   refine' ENNReal.tsum_le_tsum fun i => _
   rw [← extend_eq m, ← extend_eq m]
   exact extend_mono m0 mU (MeasurableSet.disjointed h _) (disjointed_le f _)
-#align measure_theory.extend_Union_le_tsum_nat MeasureTheory.extend_unionᵢ_le_tsum_nat
+#align measure_theory.extend_Union_le_tsum_nat MeasureTheory.extend_iUnion_le_tsum_nat
 
 /- warning: measure_theory.induced_outer_measure_eq_extend -> MeasureTheory.inducedOuterMeasure_eq_extend is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> ENNReal} (m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) (MeasurableSet.empty.{u1} α _inst_1)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), MeasurableSet.{u1} α _inst_1 (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) f)) -> (Eq.{1} ENNReal (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (MeasurableSet.unionᵢ.{u1, 1} α Nat _inst_1 Nat.countable (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {s : Set.{u1} α}, (MeasurableSet.{u1} α _inst_1 s) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m (MeasurableSet.empty.{u1} α _inst_1) m0) s) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m s)))
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> ENNReal} (m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) (MeasurableSet.empty.{u1} α _inst_1)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), MeasurableSet.{u1} α _inst_1 (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) f)) -> (Eq.{1} ENNReal (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (MeasurableSet.iUnion.{u1, 1} α Nat _inst_1 Nat.countable (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {s : Set.{u1} α}, (MeasurableSet.{u1} α _inst_1 s) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m (MeasurableSet.empty.{u1} α _inst_1) m0) s) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m s)))
 but is expected to have type
-  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> ENNReal} (m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) (MeasurableSet.empty.{u1} α _inst_1)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), MeasurableSet.{u1} α _inst_1 (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) f)) -> (Eq.{1} ENNReal (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (MeasurableSet.unionᵢ.{u1, 1} α Nat _inst_1 instCountableNat (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {s : Set.{u1} α}, (MeasurableSet.{u1} α _inst_1 s) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m (MeasurableSet.empty.{u1} α _inst_1) m0) s) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m s)))
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> ENNReal} (m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) (MeasurableSet.empty.{u1} α _inst_1)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), MeasurableSet.{u1} α _inst_1 (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) f)) -> (Eq.{1} ENNReal (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (MeasurableSet.iUnion.{u1, 1} α Nat _inst_1 instCountableNat (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {s : Set.{u1} α}, (MeasurableSet.{u1} α _inst_1 s) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m (MeasurableSet.empty.{u1} α _inst_1) m0) s) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m s)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_eq_extend MeasureTheory.inducedOuterMeasure_eq_extendₓ'. -/
 theorem inducedOuterMeasure_eq_extend {s : Set α} (hs : MeasurableSet s) :
     inducedOuterMeasure m MeasurableSet.empty m0 s = extend m s :=
-  ofFunction_eq s (fun t => extend_mono m0 mU hs) (extend_unionᵢ_le_tsum_nat m0 mU)
+  ofFunction_eq s (fun t => extend_mono m0 mU hs) (extend_iUnion_le_tsum_nat m0 mU)
 #align measure_theory.induced_outer_measure_eq_extend MeasureTheory.inducedOuterMeasure_eq_extend
 
 /- warning: measure_theory.induced_outer_measure_eq -> MeasureTheory.inducedOuterMeasure_eq is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> ENNReal} (m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) (MeasurableSet.empty.{u1} α _inst_1)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), MeasurableSet.{u1} α _inst_1 (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) f)) -> (Eq.{1} ENNReal (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (MeasurableSet.unionᵢ.{u1, 1} α Nat _inst_1 Nat.countable (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {s : Set.{u1} α} (hs : MeasurableSet.{u1} α _inst_1 s), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m (MeasurableSet.empty.{u1} α _inst_1) m0) s) (m s hs))
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> ENNReal} (m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) (MeasurableSet.empty.{u1} α _inst_1)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), MeasurableSet.{u1} α _inst_1 (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) f)) -> (Eq.{1} ENNReal (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (MeasurableSet.iUnion.{u1, 1} α Nat _inst_1 Nat.countable (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {s : Set.{u1} α} (hs : MeasurableSet.{u1} α _inst_1 s), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m (MeasurableSet.empty.{u1} α _inst_1) m0) s) (m s hs))
 but is expected to have type
-  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> ENNReal} (m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) (MeasurableSet.empty.{u1} α _inst_1)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), MeasurableSet.{u1} α _inst_1 (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) f)) -> (Eq.{1} ENNReal (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (MeasurableSet.unionᵢ.{u1, 1} α Nat _inst_1 instCountableNat (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {s : Set.{u1} α} (hs : MeasurableSet.{u1} α _inst_1 s), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m (MeasurableSet.empty.{u1} α _inst_1) m0) s) (m s hs))
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> ENNReal} (m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) (MeasurableSet.empty.{u1} α _inst_1)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), MeasurableSet.{u1} α _inst_1 (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) f)) -> (Eq.{1} ENNReal (m (Set.iUnion.{u1, 1} α Nat (fun (i : Nat) => f i)) (MeasurableSet.iUnion.{u1, 1} α Nat _inst_1 instCountableNat (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {s : Set.{u1} α} (hs : MeasurableSet.{u1} α _inst_1 s), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m (MeasurableSet.empty.{u1} α _inst_1) m0) s) (m s hs))
 Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_eq MeasureTheory.inducedOuterMeasure_eqₓ'. -/
 theorem inducedOuterMeasure_eq {s : Set α} (hs : MeasurableSet s) :
     inducedOuterMeasure m MeasurableSet.empty m0 s = m s hs :=
@@ -2550,13 +2550,13 @@ def trim : OuterMeasure α :=
 
 #print MeasureTheory.OuterMeasure.le_trim /-
 theorem le_trim : m ≤ m.trim :=
-  le_ofFunction.mpr fun s => le_infᵢ fun _ => le_rfl
+  le_ofFunction.mpr fun s => le_iInf fun _ => le_rfl
 #align measure_theory.outer_measure.le_trim MeasureTheory.OuterMeasure.le_trim
 -/
 
 #print MeasureTheory.OuterMeasure.trim_eq /-
 theorem trim_eq {s : Set α} (hs : MeasurableSet s) : m.trim s = m s :=
-  inducedOuterMeasure_eq' MeasurableSet.unionᵢ (fun f hf => m.unionᵢ_nat f)
+  inducedOuterMeasure_eq' MeasurableSet.iUnion (fun f hf => m.iUnion_nat f)
     (fun _ _ _ _ h => m.mono h) hs
 #align measure_theory.outer_measure.trim_eq MeasureTheory.OuterMeasure.trim_eq
 -/
@@ -2574,7 +2574,7 @@ theorem trim_congr {m₁ m₂ : OuterMeasure α} (H : ∀ {s : Set α}, Measurab
 #print MeasureTheory.OuterMeasure.trim_mono /-
 @[mono]
 theorem trim_mono : Monotone (trim : OuterMeasure α → OuterMeasure α) := fun m₁ m₂ H s =>
-  infᵢ₂_mono fun f hs => ENNReal.tsum_le_tsum fun b => infᵢ_mono fun hf => H _
+  iInf₂_mono fun f hs => ENNReal.tsum_le_tsum fun b => iInf_mono fun hf => H _
 #align measure_theory.outer_measure.trim_mono MeasureTheory.OuterMeasure.trim_mono
 -/
 
@@ -2585,7 +2585,7 @@ but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m₁ : MeasureTheory.OuterMeasure.{u1} α} {m₂ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) m₁ (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m₂)) (forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m₁ s) (MeasureTheory.OuterMeasure.measureOf.{u1} α m₂ s)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_trim_iff MeasureTheory.OuterMeasure.le_trim_iffₓ'. -/
 theorem le_trim_iff {m₁ m₂ : OuterMeasure α} : m₁ ≤ m₂.trim ↔ ∀ s, MeasurableSet s → m₁ s ≤ m₂ s :=
-  le_ofFunction.trans <| forall_congr' fun s => le_infᵢ_iff
+  le_ofFunction.trans <| forall_congr' fun s => le_iInf_iff
 #align measure_theory.outer_measure.le_trim_iff MeasureTheory.OuterMeasure.le_trim_iff
 
 /- warning: measure_theory.outer_measure.trim_le_trim_iff -> MeasureTheory.OuterMeasure.trim_le_trim_iff is a dubious translation:
@@ -2606,29 +2606,29 @@ theorem trim_eq_trim_iff {m₁ m₂ : OuterMeasure α} :
 #align measure_theory.outer_measure.trim_eq_trim_iff MeasureTheory.OuterMeasure.trim_eq_trim_iff
 -/
 
-/- warning: measure_theory.outer_measure.trim_eq_infi -> MeasureTheory.OuterMeasure.trim_eq_infᵢ is a dubious translation:
+/- warning: measure_theory.outer_measure.trim_eq_infi -> MeasureTheory.OuterMeasure.trim_eq_iInf is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Set.{u1} α) (fun (t : Set.{u1} α) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (fun (st : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (MeasurableSet.{u1} α _inst_1 t) (fun (ht : MeasurableSet.{u1} α _inst_1 t) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m t))))
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m) s) (iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Set.{u1} α) (fun (t : Set.{u1} α) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (fun (st : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (MeasurableSet.{u1} α _inst_1 t) (fun (ht : MeasurableSet.{u1} α _inst_1 t) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m t))))
 but is expected to have type
-  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Set.{u1} α) (fun (t : Set.{u1} α) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) (fun (st : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (MeasurableSet.{u1} α _inst_1 t) (fun (ht : MeasurableSet.{u1} α _inst_1 t) => MeasureTheory.OuterMeasure.measureOf.{u1} α m t))))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.trim_eq_infi MeasureTheory.OuterMeasure.trim_eq_infᵢₓ'. -/
-theorem trim_eq_infᵢ (s : Set α) : m.trim s = ⨅ (t) (st : s ⊆ t) (ht : MeasurableSet t), m t :=
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m) s) (iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Set.{u1} α) (fun (t : Set.{u1} α) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) (fun (st : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) => iInf.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (MeasurableSet.{u1} α _inst_1 t) (fun (ht : MeasurableSet.{u1} α _inst_1 t) => MeasureTheory.OuterMeasure.measureOf.{u1} α m t))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.trim_eq_infi MeasureTheory.OuterMeasure.trim_eq_iInfₓ'. -/
+theorem trim_eq_iInf (s : Set α) : m.trim s = ⨅ (t) (st : s ⊆ t) (ht : MeasurableSet t), m t :=
   by
-  simp (config := { singlePass := true }) only [infᵢ_comm]
+  simp (config := { singlePass := true }) only [iInf_comm]
   exact
-    induced_outer_measure_eq_infi MeasurableSet.unionᵢ (fun f _ => m.Union_nat f)
+    induced_outer_measure_eq_infi MeasurableSet.iUnion (fun f _ => m.Union_nat f)
       (fun _ _ _ _ h => m.mono h) s
-#align measure_theory.outer_measure.trim_eq_infi MeasureTheory.OuterMeasure.trim_eq_infᵢ
+#align measure_theory.outer_measure.trim_eq_infi MeasureTheory.OuterMeasure.trim_eq_iInf
 
-/- warning: measure_theory.outer_measure.trim_eq_infi' -> MeasureTheory.OuterMeasure.trim_eq_infᵢ' is a dubious translation:
+/- warning: measure_theory.outer_measure.trim_eq_infi' -> MeasureTheory.OuterMeasure.trim_eq_iInf' is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Subtype.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (MeasurableSet.{u1} α _inst_1 t))) (fun (t : Subtype.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (MeasurableSet.{u1} α _inst_1 t))) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Subtype.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (MeasurableSet.{u1} α _inst_1 t))) (Set.{u1} α) (HasLiftT.mk.{succ u1, succ u1} (Subtype.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (MeasurableSet.{u1} α _inst_1 t))) (Set.{u1} α) (CoeTCₓ.coe.{succ u1, succ u1} (Subtype.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (MeasurableSet.{u1} α _inst_1 t))) (Set.{u1} α) (coeBase.{succ u1, succ u1} (Subtype.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (MeasurableSet.{u1} α _inst_1 t))) (Set.{u1} α) (coeSubtype.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (MeasurableSet.{u1} α _inst_1 t)))))) t)))
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m) s) (iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Subtype.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (MeasurableSet.{u1} α _inst_1 t))) (fun (t : Subtype.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (MeasurableSet.{u1} α _inst_1 t))) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Subtype.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (MeasurableSet.{u1} α _inst_1 t))) (Set.{u1} α) (HasLiftT.mk.{succ u1, succ u1} (Subtype.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (MeasurableSet.{u1} α _inst_1 t))) (Set.{u1} α) (CoeTCₓ.coe.{succ u1, succ u1} (Subtype.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (MeasurableSet.{u1} α _inst_1 t))) (Set.{u1} α) (coeBase.{succ u1, succ u1} (Subtype.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (MeasurableSet.{u1} α _inst_1 t))) (Set.{u1} α) (coeSubtype.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (MeasurableSet.{u1} α _inst_1 t)))))) t)))
 but is expected to have type
-  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Subtype.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) (MeasurableSet.{u1} α _inst_1 t))) (fun (t : Subtype.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) (MeasurableSet.{u1} α _inst_1 t))) => MeasureTheory.OuterMeasure.measureOf.{u1} α m (Subtype.val.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) (MeasurableSet.{u1} α _inst_1 t)) t)))
-Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.trim_eq_infi' MeasureTheory.OuterMeasure.trim_eq_infᵢ'ₓ'. -/
-theorem trim_eq_infᵢ' (s : Set α) : m.trim s = ⨅ t : { t // s ⊆ t ∧ MeasurableSet t }, m t := by
-  simp [infᵢ_subtype, infᵢ_and, trim_eq_infi]
-#align measure_theory.outer_measure.trim_eq_infi' MeasureTheory.OuterMeasure.trim_eq_infᵢ'
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m) s) (iInf.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Subtype.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) (MeasurableSet.{u1} α _inst_1 t))) (fun (t : Subtype.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) (MeasurableSet.{u1} α _inst_1 t))) => MeasureTheory.OuterMeasure.measureOf.{u1} α m (Subtype.val.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) (MeasurableSet.{u1} α _inst_1 t)) t)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.trim_eq_infi' MeasureTheory.OuterMeasure.trim_eq_iInf'ₓ'. -/
+theorem trim_eq_iInf' (s : Set α) : m.trim s = ⨅ t : { t // s ⊆ t ∧ MeasurableSet t }, m t := by
+  simp [iInf_subtype, iInf_and, trim_eq_infi]
+#align measure_theory.outer_measure.trim_eq_infi' MeasureTheory.OuterMeasure.trim_eq_iInf'
 
 #print MeasureTheory.OuterMeasure.trim_trim /-
 theorem trim_trim (m : OuterMeasure α) : m.trim.trim = m.trim :=
@@ -2656,7 +2656,7 @@ theorem trim_sum_ge {ι} (m : ι → OuterMeasure α) : (sum fun i => (m i).trim
   fun s => by
   simp [trim_eq_infi] <;>
     exact fun t st ht =>
-      ENNReal.tsum_le_tsum fun i => infᵢ_le_of_le t <| infᵢ_le_of_le st <| infᵢ_le _ ht
+      ENNReal.tsum_le_tsum fun i => iInf_le_of_le t <| iInf_le_of_le st <| iInf_le _ ht
 #align measure_theory.outer_measure.trim_sum_ge MeasureTheory.OuterMeasure.trim_sum_ge
 -/
 
@@ -2667,27 +2667,27 @@ theorem exists_measurable_superset_eq_trim (m : OuterMeasure α) (s : Set α) :
   simp only [trim_eq_infi]; set ms := ⨅ (t : Set α) (st : s ⊆ t) (ht : MeasurableSet t), m t
   by_cases hs : ms = ∞
   · simp only [hs]
-    simp only [infᵢ_eq_top] at hs
+    simp only [iInf_eq_top] at hs
     exact ⟨univ, subset_univ s, MeasurableSet.univ, hs _ (subset_univ s) MeasurableSet.univ⟩
   · have : ∀ r > ms, ∃ t, s ⊆ t ∧ MeasurableSet t ∧ m t < r :=
       by
       intro r hs
-      simpa [infᵢ_lt_iff] using hs
+      simpa [iInf_lt_iff] using hs
     have : ∀ n : ℕ, ∃ t, s ⊆ t ∧ MeasurableSet t ∧ m t < ms + n⁻¹ :=
       by
       intro n
       refine' this _ (ENNReal.lt_add_right hs _)
       simp
     choose t hsub hm hm'
-    refine' ⟨⋂ n, t n, subset_Inter hsub, MeasurableSet.interᵢ hm, _⟩
+    refine' ⟨⋂ n, t n, subset_Inter hsub, MeasurableSet.iInter hm, _⟩
     have : tendsto (fun n : ℕ => ms + n⁻¹) at_top (𝓝 (ms + 0)) :=
       tendsto_const_nhds.add ENNReal.tendsto_inv_nat_nhds_zero
     rw [add_zero] at this
     refine' le_antisymm (ge_of_tendsto' this fun n => _) _
     · exact le_trans (m.mono' <| Inter_subset t n) (hm' n).le
-    · refine' infᵢ_le_of_le (⋂ n, t n) _
-      refine' infᵢ_le_of_le (subset_Inter hsub) _
-      refine' infᵢ_le _ (MeasurableSet.interᵢ hm)
+    · refine' iInf_le_of_le (⋂ n, t n) _
+      refine' iInf_le_of_le (subset_Inter hsub) _
+      refine' iInf_le _ (MeasurableSet.iInter hm)
 #align measure_theory.outer_measure.exists_measurable_superset_eq_trim MeasureTheory.OuterMeasure.exists_measurable_superset_eq_trim
 -/
 
@@ -2712,7 +2712,7 @@ theorem exists_measurable_superset_forall_eq_trim {ι} [Countable ι] (μ : ι 
   by
   choose t hst ht hμt using fun i => (μ i).exists_measurable_superset_eq_trim s
   replace hst := subset_Inter hst
-  replace ht := MeasurableSet.interᵢ ht
+  replace ht := MeasurableSet.iInter ht
   refine' ⟨⋂ i, t i, hst, ht, fun i => le_antisymm _ _⟩
   exacts[hμt i ▸ (μ i).mono (Inter_subset _ _), (mono' _ hst).trans_eq ((μ i).trim_eq ht)]
 #align measure_theory.outer_measure.exists_measurable_superset_forall_eq_trim MeasureTheory.OuterMeasure.exists_measurable_superset_forall_eq_trim
@@ -2764,20 +2764,20 @@ theorem trim_sup (m₁ m₂ : OuterMeasure α) : (m₁ ⊔ m₂).trim = m₁.tri
 #align measure_theory.outer_measure.trim_sup MeasureTheory.OuterMeasure.trim_sup
 -/
 
-#print MeasureTheory.OuterMeasure.trim_supᵢ /-
+#print MeasureTheory.OuterMeasure.trim_iSup /-
 /-- `trim` sends the supremum of a countable family of outer measures to the supremum
 of the trimmed measures. -/
-theorem trim_supᵢ {ι} [Countable ι] (μ : ι → OuterMeasure α) : trim (⨆ i, μ i) = ⨆ i, trim (μ i) :=
+theorem trim_iSup {ι} [Countable ι] (μ : ι → OuterMeasure α) : trim (⨆ i, μ i) = ⨆ i, trim (μ i) :=
   by
-  simp_rw [← @supᵢ_plift_down _ ι]
+  simp_rw [← @iSup_plift_down _ ι]
   ext1 s
   haveI : Countable (Option <| PLift ι) := @Option.countable (PLift ι) _
   obtain ⟨t, hst, ht, hμt⟩ :=
     exists_measurable_superset_forall_eq_trim
       (Option.elim' (⨆ i, μ (PLift.down i)) (μ ∘ PLift.down)) s
   simp only [Option.forall, Option.elim'] at hμt
-  simp only [supᵢ_apply, ← hμt.1, ← hμt.2]
-#align measure_theory.outer_measure.trim_supr MeasureTheory.OuterMeasure.trim_supᵢ
+  simp only [iSup_apply, ← hμt.1, ← hμt.2]
+#align measure_theory.outer_measure.trim_supr MeasureTheory.OuterMeasure.trim_iSup
 -/
 
 #print MeasureTheory.OuterMeasure.restrict_trim /-

mathlib commit https://github.com/leanprover-community/mathlib/commit/403190b5419b3f03f1a2893ad9352ca7f7d8bff6

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Mario Carneiro
 
 ! This file was ported from Lean 3 source module measure_theory.measure.outer_measure
-! leanprover-community/mathlib commit ec4b2eeb50364487f80421c0b4c41328a611f30d
+! leanprover-community/mathlib commit 343e80208d29d2d15f8050b929aa50fe4ce71b55
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -1399,6 +1399,22 @@ theorem le_bounded_by' {μ : OuterMeasure α} :
   cases' s.eq_empty_or_nonempty with h h <;> simp [h]
 #align measure_theory.outer_measure.le_bounded_by' MeasureTheory.OuterMeasure.le_bounded_by'
 
+@[simp]
+theorem boundedBy_top : boundedBy (⊤ : Set α → ℝ≥0∞) = ⊤ :=
+  by
+  rw [eq_top_iff, le_bounded_by']
+  intro s hs
+  rw [top_apply hs]
+  exact le_rfl
+#align measure_theory.outer_measure.bounded_by_top MeasureTheory.OuterMeasure.boundedBy_top
+
+@[simp]
+theorem boundedBy_zero : boundedBy (0 : Set α → ℝ≥0∞) = 0 :=
+  by
+  rw [← coe_bot, eq_bot_iff]
+  apply bounded_by_le
+#align measure_theory.outer_measure.bounded_by_zero MeasureTheory.OuterMeasure.boundedBy_zero
+
 /- warning: measure_theory.outer_measure.smul_bounded_by -> MeasureTheory.OuterMeasure.smul_boundedBy is a dubious translation:
 lean 3 declaration is
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {c : ENNReal}, (Ne.{1} ENNReal c (Top.top.{0} ENNReal (CompleteLattice.toHasTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder)))) -> (Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (SMul.smul.{0, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.hasSmul.{u1, 0} α ENNReal (SMulZeroClass.toHasSmul.{0, 0} ENNReal ENNReal (AddZeroClass.toHasZero.{0} ENNReal (AddMonoid.toAddZeroClass.{0} ENNReal (AddCommMonoid.toAddMonoid.{0} ENNReal (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (SMulWithZero.toSmulZeroClass.{0, 0} ENNReal ENNReal (MulZeroClass.toHasZero.{0} ENNReal (MulZeroOneClass.toMulZeroClass.{0} ENNReal (MonoidWithZero.toMulZeroOneClass.{0} ENNReal (Semiring.toMonoidWithZero.{0} ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (AddZeroClass.toHasZero.{0} ENNReal (AddMonoid.toAddZeroClass.{0} ENNReal (AddCommMonoid.toAddMonoid.{0} ENNReal (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (MulActionWithZero.toSMulWithZero.{0, 0} ENNReal ENNReal (Semiring.toMonoidWithZero.{0} ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (AddZeroClass.toHasZero.{0} ENNReal (AddMonoid.toAddZeroClass.{0} ENNReal (AddCommMonoid.toAddMonoid.{0} ENNReal (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (Module.toMulActionWithZero.{0, 0} ENNReal ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (Algebra.toModule.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) c (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (MeasureTheory.OuterMeasure.boundedBy.{u1} α (SMul.smul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Function.hasSMul.{u1, 0, 0} (Set.{u1} α) ENNReal ENNReal (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) c m)))
@@ -2144,6 +2160,11 @@ theorem extend_congr {β : Type _} {Pb : β → Prop} {mb : ∀ s : β, Pb s →
 #align measure_theory.extend_congr MeasureTheory.extend_congr
 -/
 
+@[simp]
+theorem extend_top {α : Type _} {P : α → Prop} : extend (fun s h => ∞ : ∀ s : α, P s → ℝ≥0∞) = ⊤ :=
+  funext fun x => infᵢ_eq_top.mpr fun i => rfl
+#align measure_theory.extend_top MeasureTheory.extend_top
+
 end Extend
 
 section ExtendSet
@@ -2615,6 +2636,11 @@ theorem trim_trim (m : OuterMeasure α) : m.trim.trim = m.trim :=
 #align measure_theory.outer_measure.trim_trim MeasureTheory.OuterMeasure.trim_trim
 -/
 
+@[simp]
+theorem trim_top : (⊤ : OuterMeasure α).trim = ⊤ :=
+  eq_top_iff.2 <| le_trim _
+#align measure_theory.outer_measure.trim_top MeasureTheory.OuterMeasure.trim_top
+
 #print MeasureTheory.OuterMeasure.trim_zero /-
 @[simp]
 theorem trim_zero : (0 : OuterMeasure α).trim = 0 :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/2f8347015b12b0864dfaf366ec4909eb70c78740

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Mario Carneiro
 
 ! This file was ported from Lean 3 source module measure_theory.measure.outer_measure
-! leanprover-community/mathlib commit fe8d0ff42c3c24d789f491dc2622b6cac3d61564
+! leanprover-community/mathlib commit ec4b2eeb50364487f80421c0b4c41328a611f30d
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -617,9 +617,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.smul_supr MeasureTheory.OuterMeasure.smul_supᵢₓ'. -/
 theorem smul_supᵢ [SMul R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞] {ι} (f : ι → OuterMeasure α) (c : R) :
     (c • ⨆ i, f i) = ⨆ i, c • f i :=
-  ext fun s => by
-    simp only [smul_apply, supᵢ_apply, ← smul_one_mul c (f _ _), ← smul_one_mul c (supᵢ _),
-      ENNReal.mul_supᵢ]
+  ext fun s => by simp only [smul_apply, supᵢ_apply, ENNReal.smul_supᵢ]
 #align measure_theory.outer_measure.smul_supr MeasureTheory.OuterMeasure.smul_supᵢ
 
 end Supremum
@@ -2100,6 +2098,16 @@ def extend (s : α) : ℝ≥0∞ :=
 #align measure_theory.extend MeasureTheory.extend
 -/
 
+theorem smul_extend {R} [Zero R] [SMulWithZero R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞]
+    [NoZeroSMulDivisors R ℝ≥0∞] {c : R} (hc : c ≠ 0) : c • extend m = extend fun s h => c • m s h :=
+  by
+  ext1 s
+  dsimp [extend]
+  by_cases h : P s
+  · simp [h]
+  · simp [h, ENNReal.smul_top, hc]
+#align measure_theory.smul_extend MeasureTheory.smul_extend
+
 #print MeasureTheory.extend_eq /-
 theorem extend_eq {s : α} (h : P s) : extend m s = m s h := by simp [extend, h]
 #align measure_theory.extend_eq MeasureTheory.extend_eq

mathlib commit https://github.com/leanprover-community/mathlib/commit/28b2a92f2996d28e580450863c130955de0ed398

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Mario Carneiro
 
 ! This file was ported from Lean 3 source module measure_theory.measure.outer_measure
-! leanprover-community/mathlib commit ec4b2eeb50364487f80421c0b4c41328a611f30d
+! leanprover-community/mathlib commit fe8d0ff42c3c24d789f491dc2622b6cac3d61564
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -617,7 +617,9 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.smul_supr MeasureTheory.OuterMeasure.smul_supᵢₓ'. -/
 theorem smul_supᵢ [SMul R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞] {ι} (f : ι → OuterMeasure α) (c : R) :
     (c • ⨆ i, f i) = ⨆ i, c • f i :=
-  ext fun s => by simp only [smul_apply, supᵢ_apply, ENNReal.smul_supᵢ]
+  ext fun s => by
+    simp only [smul_apply, supᵢ_apply, ← smul_one_mul c (f _ _), ← smul_one_mul c (supᵢ _),
+      ENNReal.mul_supᵢ]
 #align measure_theory.outer_measure.smul_supr MeasureTheory.OuterMeasure.smul_supᵢ
 
 end Supremum
@@ -2098,16 +2100,6 @@ def extend (s : α) : ℝ≥0∞ :=
 #align measure_theory.extend MeasureTheory.extend
 -/
 
-theorem smul_extend {R} [Zero R] [SMulWithZero R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞]
-    [NoZeroSMulDivisors R ℝ≥0∞] {c : R} (hc : c ≠ 0) : c • extend m = extend fun s h => c • m s h :=
-  by
-  ext1 s
-  dsimp [extend]
-  by_cases h : P s
-  · simp [h]
-  · simp [h, ENNReal.smul_top, hc]
-#align measure_theory.smul_extend MeasureTheory.smul_extend
-
 #print MeasureTheory.extend_eq /-
 theorem extend_eq {s : α} (h : P s) : extend m s = m s h := by simp [extend, h]
 #align measure_theory.extend_eq MeasureTheory.extend_eq

mathlib commit https://github.com/leanprover-community/mathlib/commit/2f8347015b12b0864dfaf366ec4909eb70c78740

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Mario Carneiro
 
 ! This file was ported from Lean 3 source module measure_theory.measure.outer_measure
-! leanprover-community/mathlib commit fe8d0ff42c3c24d789f491dc2622b6cac3d61564
+! leanprover-community/mathlib commit ec4b2eeb50364487f80421c0b4c41328a611f30d
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -617,9 +617,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.smul_supr MeasureTheory.OuterMeasure.smul_supᵢₓ'. -/
 theorem smul_supᵢ [SMul R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞] {ι} (f : ι → OuterMeasure α) (c : R) :
     (c • ⨆ i, f i) = ⨆ i, c • f i :=
-  ext fun s => by
-    simp only [smul_apply, supᵢ_apply, ← smul_one_mul c (f _ _), ← smul_one_mul c (supᵢ _),
-      ENNReal.mul_supᵢ]
+  ext fun s => by simp only [smul_apply, supᵢ_apply, ENNReal.smul_supᵢ]
 #align measure_theory.outer_measure.smul_supr MeasureTheory.OuterMeasure.smul_supᵢ
 
 end Supremum
@@ -2100,6 +2098,16 @@ def extend (s : α) : ℝ≥0∞ :=
 #align measure_theory.extend MeasureTheory.extend
 -/
 
+theorem smul_extend {R} [Zero R] [SMulWithZero R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞]
+    [NoZeroSMulDivisors R ℝ≥0∞] {c : R} (hc : c ≠ 0) : c • extend m = extend fun s h => c • m s h :=
+  by
+  ext1 s
+  dsimp [extend]
+  by_cases h : P s
+  · simp [h]
+  · simp [h, ENNReal.smul_top, hc]
+#align measure_theory.smul_extend MeasureTheory.smul_extend
+
 #print MeasureTheory.extend_eq /-
 theorem extend_eq {s : α} (h : P s) : extend m s = m s h := by simp [extend, h]
 #align measure_theory.extend_eq MeasureTheory.extend_eq

mathlib commit https://github.com/leanprover-community/mathlib/commit/738054fa93d43512da144ec45ce799d18fd44248

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Mario Carneiro
 
 ! This file was ported from Lean 3 source module measure_theory.measure.outer_measure
-! leanprover-community/mathlib commit 32253a1a1071173b33dc7d6a218cf722c6feb514
+! leanprover-community/mathlib commit fe8d0ff42c3c24d789f491dc2622b6cac3d61564
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -16,6 +16,9 @@ import Mathbin.Data.Fin.VecNotation
 /-!
 # Outer Measures
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 An outer measure is a function `μ : set α → ℝ≥0∞`, from the powerset of a type to the extended
 nonnegative real numbers that satisfies the following conditions:
 1. `μ ∅ = 0`;

mathlib commit https://github.com/leanprover-community/mathlib/commit/36b8aa61ea7c05727161f96a0532897bd72aedab

@@ -1289,7 +1289,7 @@ theorem restrict_ofFunction (s : Set α) (hm : Monotone m) :
 lean 3 declaration is
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} {c : ENNReal}, (Ne.{1} ENNReal c (Top.top.{0} ENNReal (CompleteLattice.toHasTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder)))) -> (Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (SMul.smul.{0, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.hasSmul.{u1, 0} α ENNReal (SMulZeroClass.toHasSmul.{0, 0} ENNReal ENNReal (AddZeroClass.toHasZero.{0} ENNReal (AddMonoid.toAddZeroClass.{0} ENNReal (AddCommMonoid.toAddMonoid.{0} ENNReal (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (SMulWithZero.toSmulZeroClass.{0, 0} ENNReal ENNReal (MulZeroClass.toHasZero.{0} ENNReal (MulZeroOneClass.toMulZeroClass.{0} ENNReal (MonoidWithZero.toMulZeroOneClass.{0} ENNReal (Semiring.toMonoidWithZero.{0} ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (AddZeroClass.toHasZero.{0} ENNReal (AddMonoid.toAddZeroClass.{0} ENNReal (AddCommMonoid.toAddMonoid.{0} ENNReal (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (MulActionWithZero.toSMulWithZero.{0, 0} ENNReal ENNReal (Semiring.toMonoidWithZero.{0} ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (AddZeroClass.toHasZero.{0} ENNReal (AddMonoid.toAddZeroClass.{0} ENNReal (AddCommMonoid.toAddMonoid.{0} ENNReal (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (Module.toMulActionWithZero.{0, 0} ENNReal ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (Algebra.toModule.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) c (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u1} α (SMul.smul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Function.hasSMul.{u1, 0, 0} (Set.{u1} α) ENNReal ENNReal (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) c m) (Eq.mpr.{0} (Eq.{1} ENNReal (SMul.smul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Function.hasSMul.{u1, 0, 0} (Set.{u1} α) ENNReal ENNReal (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) c m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) True (id_tag Tactic.IdTag.simp (Eq.{1} Prop (Eq.{1} ENNReal (SMul.smul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Function.hasSMul.{u1, 0, 0} (Set.{u1} α) ENNReal ENNReal (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) c m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) True) (Eq.trans.{1} Prop (Eq.{1} ENNReal (SMul.smul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Function.hasSMul.{u1, 0, 0} (Set.{u1} α) ENNReal ENNReal (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) c m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) True ((fun (a : ENNReal) (a_1 : ENNReal) (e_1 : Eq.{1} ENNReal a a_1) (ᾰ : ENNReal) (ᾰ_1 : ENNReal) (e_2 : Eq.{1} ENNReal ᾰ ᾰ_1) => congr.{1, 1} ENNReal Prop (Eq.{1} ENNReal a) (Eq.{1} ENNReal a_1) ᾰ ᾰ_1 (congr_arg.{1, 1} ENNReal (ENNReal -> Prop) a a_1 (Eq.{1} ENNReal) e_1) e_2) (SMul.smul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Function.hasSMul.{u1, 0, 0} (Set.{u1} α) ENNReal ENNReal (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) c m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))) (Eq.trans.{1} ((fun (i : Set.{u1} α) => ENNReal) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (SMul.smul.{0, u1} ENNReal (forall (i : Set.{u1} α), (fun (i : Set.{u1} α) => ENNReal) i) (Pi.instSMul.{u1, 0, 0} (Set.{u1} α) ENNReal (fun (i : Set.{u1} α) => (fun (i : Set.{u1} α) => ENNReal) i) (fun (i : Set.{u1} α) => (fun (i : Set.{u1} α) => Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) i)) c m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (HMul.hMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))) c (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal (MulZeroClass.toHasZero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))))) (Eq.trans.{1} ((fun (i : Set.{u1} α) => ENNReal) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (SMul.smul.{0, u1} ENNReal (forall (i : Set.{u1} α), (fun (i : Set.{u1} α) => ENNReal) i) (Pi.instSMul.{u1, 0, 0} (Set.{u1} α) ENNReal (fun (i : Set.{u1} α) => (fun (i : Set.{u1} α) => ENNReal) i) (fun (i : Set.{u1} α) => (fun (i : Set.{u1} α) => Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) i)) c m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (SMul.smul.{0, 0} ENNReal ENNReal (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) c (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (HMul.hMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))) c (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (Eq.trans.{1} ((fun (i : Set.{u1} α) => ENNReal) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (SMul.smul.{0, u1} ENNReal (forall (i : Set.{u1} α), (fun (i : Set.{u1} α) => ENNReal) i) (Pi.instSMul.{u1, 0, 0} (Set.{u1} α) ENNReal (fun (i : Set.{u1} α) => (fun (i : Set.{u1} α) => ENNReal) i) (fun (i : Set.{u1} α) => (fun (i : Set.{u1} α) => Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) i)) c m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (SMul.smul.{0, 0} ENNReal ((fun (i : Set.{u1} α) => ENNReal) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) ((fun (i : Set.{u1} α) => Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) c (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)))) (SMul.smul.{0, 0} ENNReal ENNReal (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) c (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (Pi.smul_apply.{u1, 0, 0} (Set.{u1} α) ENNReal (fun (i : Set.{u1} α) => ENNReal) (fun (i : Set.{u1} α) => Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) c m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) ((fun [self : SMul.{0, 0} ENNReal ENNReal] (ᾰ : ENNReal) (ᾰ_1 : ENNReal) (e_2 : Eq.{1} ENNReal ᾰ ᾰ_1) (ᾰ_2 : ENNReal) (ᾰ_3 : ENNReal) (e_3 : Eq.{1} ENNReal ᾰ_2 ᾰ_3) => congr.{1, 1} ENNReal ENNReal (SMul.smul.{0, 0} ENNReal ENNReal self ᾰ) (SMul.smul.{0, 0} ENNReal ENNReal self ᾰ_1) ᾰ_2 ᾰ_3 (congr_arg.{1, 1} ENNReal (ENNReal -> ENNReal) ᾰ ᾰ_1 (SMul.smul.{0, 0} ENNReal ENNReal self) e_2) e_3) (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) c c (rfl.{1} ENNReal c) (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))) m_empty)) (Algebra.id.smul_eq_mul.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring) c (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))) (MulZeroClass.mul_zero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) c)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))) (rfl.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))) (propext (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) True (eq_self_iff_true.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))))) trivial)))
 but is expected to have type
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} {c : ENNReal}, (Ne.{1} ENNReal c (Top.top.{0} ENNReal (CompleteLattice.toTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) -> (Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (HSMul.hSMul.{0, u1, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (instHSMul.{0, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSMul.{u1, 0} α ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) c (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u1} α (HSMul.hSMul.{0, u1, u1} ENNReal ((Set.{u1} α) -> ENNReal) ((Set.{u1} α) -> ENNReal) (instHSMul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Pi.instSMul.{u1, 0, 0} (Set.{u1} α) ENNReal (fun (a._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.11627 : Set.{u1} α) => ENNReal) (fun (i : Set.{u1} α) => Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) c m) (of_eq_true (Eq.{1} ENNReal (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.trans.{1} Prop (Eq.{1} ENNReal (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal (MulZeroClass.toZero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))))))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) True (congrFun.{1, 1} ENNReal (fun (a._@.Init.Prelude._hyg.170 : ENNReal) => Prop) (Eq.{1} ENNReal (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal (MulZeroClass.toZero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))))) (congrArg.{1, 1} ENNReal (ENNReal -> Prop) (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal (MulZeroClass.toZero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))))))) (Eq.{1} ENNReal) (Eq.trans.{1} ENNReal (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal (MulZeroClass.toZero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))))))) (congrArg.{1, 1} ENNReal ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c) m_empty) (MulZeroClass.mul_zero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) c))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (eq_self.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal (MulZeroClass.toZero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))))))))))))
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} {c : ENNReal}, (Ne.{1} ENNReal c (Top.top.{0} ENNReal (CompleteLattice.toTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) -> (Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (HSMul.hSMul.{0, u1, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (instHSMul.{0, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSMul.{u1, 0} α ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) c (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u1} α (HSMul.hSMul.{0, u1, u1} ENNReal ((Set.{u1} α) -> ENNReal) ((Set.{u1} α) -> ENNReal) (instHSMul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Pi.instSMul.{u1, 0, 0} (Set.{u1} α) ENNReal (fun (a._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.11625 : Set.{u1} α) => ENNReal) (fun (i : Set.{u1} α) => Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) c m) (of_eq_true (Eq.{1} ENNReal (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.trans.{1} Prop (Eq.{1} ENNReal (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal (MulZeroClass.toZero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))))))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) True (congrFun.{1, 1} ENNReal (fun (a._@.Init.Prelude._hyg.170 : ENNReal) => Prop) (Eq.{1} ENNReal (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal (MulZeroClass.toZero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))))) (congrArg.{1, 1} ENNReal (ENNReal -> Prop) (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal (MulZeroClass.toZero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))))))) (Eq.{1} ENNReal) (Eq.trans.{1} ENNReal (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal (MulZeroClass.toZero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))))))) (congrArg.{1, 1} ENNReal ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c) m_empty) (MulZeroClass.mul_zero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) c))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (eq_self.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal (MulZeroClass.toZero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))))))))))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.smul_of_function MeasureTheory.OuterMeasure.smul_ofFunctionₓ'. -/
 theorem smul_ofFunction {c : ℝ≥0∞} (hc : c ≠ ∞) :
     c • OuterMeasure.ofFunction m m_empty = OuterMeasure.ofFunction (c • m) (by simp [m_empty]) :=
@@ -1402,7 +1402,7 @@ theorem le_bounded_by' {μ : OuterMeasure α} :
 lean 3 declaration is
   forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {c : ENNReal}, (Ne.{1} ENNReal c (Top.top.{0} ENNReal (CompleteLattice.toHasTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder)))) -> (Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (SMul.smul.{0, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.hasSmul.{u1, 0} α ENNReal (SMulZeroClass.toHasSmul.{0, 0} ENNReal ENNReal (AddZeroClass.toHasZero.{0} ENNReal (AddMonoid.toAddZeroClass.{0} ENNReal (AddCommMonoid.toAddMonoid.{0} ENNReal (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (SMulWithZero.toSmulZeroClass.{0, 0} ENNReal ENNReal (MulZeroClass.toHasZero.{0} ENNReal (MulZeroOneClass.toMulZeroClass.{0} ENNReal (MonoidWithZero.toMulZeroOneClass.{0} ENNReal (Semiring.toMonoidWithZero.{0} ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (AddZeroClass.toHasZero.{0} ENNReal (AddMonoid.toAddZeroClass.{0} ENNReal (AddCommMonoid.toAddMonoid.{0} ENNReal (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (MulActionWithZero.toSMulWithZero.{0, 0} ENNReal ENNReal (Semiring.toMonoidWithZero.{0} ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (AddZeroClass.toHasZero.{0} ENNReal (AddMonoid.toAddZeroClass.{0} ENNReal (AddCommMonoid.toAddMonoid.{0} ENNReal (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (Module.toMulActionWithZero.{0, 0} ENNReal ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (Algebra.toModule.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) c (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (MeasureTheory.OuterMeasure.boundedBy.{u1} α (SMul.smul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Function.hasSMul.{u1, 0, 0} (Set.{u1} α) ENNReal ENNReal (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) c m)))
 but is expected to have type
-  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {c : ENNReal}, (Ne.{1} ENNReal c (Top.top.{0} ENNReal (CompleteLattice.toTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) -> (Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (HSMul.hSMul.{0, u1, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (instHSMul.{0, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSMul.{u1, 0} α ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) c (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (MeasureTheory.OuterMeasure.boundedBy.{u1} α (HSMul.hSMul.{0, u1, u1} ENNReal ((Set.{u1} α) -> ENNReal) ((Set.{u1} α) -> ENNReal) (instHSMul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Pi.instSMul.{u1, 0, 0} (Set.{u1} α) ENNReal (fun (a._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.12446 : Set.{u1} α) => ENNReal) (fun (i : Set.{u1} α) => Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) c m)))
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {c : ENNReal}, (Ne.{1} ENNReal c (Top.top.{0} ENNReal (CompleteLattice.toTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) -> (Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (HSMul.hSMul.{0, u1, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (instHSMul.{0, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSMul.{u1, 0} α ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) c (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (MeasureTheory.OuterMeasure.boundedBy.{u1} α (HSMul.hSMul.{0, u1, u1} ENNReal ((Set.{u1} α) -> ENNReal) ((Set.{u1} α) -> ENNReal) (instHSMul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Pi.instSMul.{u1, 0, 0} (Set.{u1} α) ENNReal (fun (a._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.12444 : Set.{u1} α) => ENNReal) (fun (i : Set.{u1} α) => Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) c m)))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.smul_bounded_by MeasureTheory.OuterMeasure.smul_boundedByₓ'. -/
 theorem smul_boundedBy {c : ℝ≥0∞} (hc : c ≠ ∞) : c • boundedBy m = boundedBy (c • m) :=
   by
@@ -2001,7 +2001,7 @@ theorem map_infᵢ_comap {ι β} [Nonempty ι] {f : α → β} (m : ι → Outer
 lean 3 declaration is
   forall {α : Type.{u1}} {ι : Type.{u2}} {β : Type.{u3}} {I : Set.{u2} ι}, (Set.Nonempty.{u2} ι I) -> (forall {f : α -> β} (m : ι -> (MeasureTheory.OuterMeasure.{u3} β)), Eq.{succ u3} (MeasureTheory.OuterMeasure.{u3} β) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (infᵢ.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => infᵢ.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => coeFn.{max (succ u3) (succ u1), max (succ u3) (succ u1)} (LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u3} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u3, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u3} α β f) (m i))))) (infᵢ.{u3, succ u2} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) ι (fun (i : ι) => infᵢ.{u3, 0} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) 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 but is expected to have type
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(CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) 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(Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal 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(MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (m i))))))
 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_binfi_comap MeasureTheory.OuterMeasure.map_binfᵢ_comapₓ'. -/
 theorem map_binfᵢ_comap {ι β} {I : Set ι} (hI : I.Nonempty) {f : α → β} (m : ι → OuterMeasure β) :
     map f (⨅ i ∈ I, comap f (m i)) = ⨅ i ∈ I, map f (comap f (m i)) :=
@@ -2042,7 +2042,7 @@ theorem restrict_infᵢ {ι} [Nonempty ι] (s : Set α) (m : ι → OuterMeasure
 lean 3 declaration is
   forall {α : Type.{u1}} {ι : Type.{u2}} {I : Set.{u2} ι}, (Set.Nonempty.{u2} ι I) -> (forall (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (infᵢ.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => infᵢ.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => m i)))) (infᵢ.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => infᵢ.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))))
 but is expected to have type
-  forall {α : Type.{u1}} {ι : Type.{u2}} {I : Set.{u2} ι}, (Set.Nonempty.{u2} ι I) -> (forall (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (infᵢ.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => infᵢ.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (h._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.17173 : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => m i)))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (infᵢ.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => infᵢ.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => m i)))) (infᵢ.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => infᵢ.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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(CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} 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+  forall {α : Type.{u1}} {ι : Type.{u2}} {I : Set.{u2} ι}, (Set.Nonempty.{u2} ι I) -> (forall (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (infᵢ.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => infᵢ.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (h._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.17167 : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => m i)))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (infᵢ.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => infᵢ.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => m i)))) (infᵢ.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => infᵢ.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal 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(CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal 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 Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_binfi MeasureTheory.OuterMeasure.restrict_binfᵢₓ'. -/
 theorem restrict_binfᵢ {ι} {I : Set ι} (hI : I.Nonempty) (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨅ i ∈ I, m i) = ⨅ i ∈ I, restrict s (m i) :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/36b8aa61ea7c05727161f96a0532897bd72aedab

@@ -66,6 +66,7 @@ open Classical BigOperators NNReal Topology ENNReal MeasureTheory
 
 namespace MeasureTheory
 
+#print MeasureTheory.OuterMeasure /-
 /-- An outer measure is a countably subadditive monotone function that sends `∅` to `0`. -/
 structure OuterMeasure (α : Type _) where
   measureOf : Set α → ℝ≥0∞
@@ -73,6 +74,7 @@ structure OuterMeasure (α : Type _) where
   mono : ∀ {s₁ s₂}, s₁ ⊆ s₂ → measure_of s₁ ≤ measure_of s₂
   unionᵢ_nat : ∀ s : ℕ → Set α, measure_of (⋃ i, s i) ≤ ∑' i, measure_of (s i)
 #align measure_theory.outer_measure MeasureTheory.OuterMeasure
+-/
 
 namespace OuterMeasure
 
@@ -88,39 +90,87 @@ theorem measureOf_eq_coe (m : OuterMeasure α) : m.measureOf = m :=
   rfl
 #align measure_theory.outer_measure.measure_of_eq_coe MeasureTheory.OuterMeasure.measureOf_eq_coe
 
+/- warning: measure_theory.outer_measure.empty' -> MeasureTheory.OuterMeasure.empty' is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))
+but is expected to have type
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.empty' MeasureTheory.OuterMeasure.empty'ₓ'. -/
 @[simp]
 theorem empty' (m : OuterMeasure α) : m ∅ = 0 :=
   m.Empty
 #align measure_theory.outer_measure.empty' MeasureTheory.OuterMeasure.empty'
 
+/- warning: measure_theory.outer_measure.mono' -> MeasureTheory.OuterMeasure.mono' is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m s₁) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m s₂))
+but is expected to have type
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m s₁) (MeasureTheory.OuterMeasure.measureOf.{u1} α m s₂))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.mono' MeasureTheory.OuterMeasure.mono'ₓ'. -/
 theorem mono' (m : OuterMeasure α) {s₁ s₂} (h : s₁ ⊆ s₂) : m s₁ ≤ m s₂ :=
   m.mono h
 #align measure_theory.outer_measure.mono' MeasureTheory.OuterMeasure.mono'
 
+/- warning: measure_theory.outer_measure.mono_null -> MeasureTheory.OuterMeasure.mono_null is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Set.{u1} α} {t : Set.{u1} α}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m t) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m s) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))
+but is expected to have type
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Set.{u1} α} {t : Set.{u1} α}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m t) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m s) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.mono_null MeasureTheory.OuterMeasure.mono_nullₓ'. -/
 theorem mono_null (m : OuterMeasure α) {s t} (h : s ⊆ t) (ht : m t = 0) : m s = 0 :=
   nonpos_iff_eq_zero.mp <| ht ▸ m.mono' h
 #align measure_theory.outer_measure.mono_null MeasureTheory.OuterMeasure.mono_null
 
+/- warning: measure_theory.outer_measure.pos_of_subset_ne_zero -> MeasureTheory.OuterMeasure.pos_of_subset_ne_zero is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {a : Set.{u1} α} {b : Set.{u1} α}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) a b) -> (Ne.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m a) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (LT.lt.{0} ENNReal (Preorder.toLT.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m b))
+but is expected to have type
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {a : Set.{u1} α} {b : Set.{u1} α}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) a b) -> (Ne.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m a) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (LT.lt.{0} ENNReal (Preorder.toLT.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (MeasureTheory.OuterMeasure.measureOf.{u1} α m b))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.pos_of_subset_ne_zero MeasureTheory.OuterMeasure.pos_of_subset_ne_zeroₓ'. -/
 theorem pos_of_subset_ne_zero (m : OuterMeasure α) {a b : Set α} (hs : a ⊆ b) (hnz : m a ≠ 0) :
     0 < m b :=
   lt_of_lt_of_le (pos_iff_ne_zero.mpr hnz) (m.mono hs)
 #align measure_theory.outer_measure.pos_of_subset_ne_zero MeasureTheory.OuterMeasure.pos_of_subset_ne_zero
 
+/- warning: measure_theory.outer_measure.Union -> MeasureTheory.OuterMeasure.unionᵢ is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {β : Type.{u2}} [_inst_1 : Countable.{succ u2} β] (s : β -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.unionᵢ.{u1, succ u2} α β (fun (i : β) => s i))) (tsum.{0, u2} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace β (fun (i : β) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s i)))
+but is expected to have type
+  forall {α : Type.{u2}} (m : MeasureTheory.OuterMeasure.{u2} α) {β : Type.{u1}} [_inst_1 : Countable.{succ u1} β] (s : β -> (Set.{u2} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u2} α m (Set.unionᵢ.{u2, succ u1} α β (fun (i : β) => s i))) (tsum.{0, u1} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal β (fun (i : β) => MeasureTheory.OuterMeasure.measureOf.{u2} α m (s i)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Union MeasureTheory.OuterMeasure.unionᵢₓ'. -/
 protected theorem unionᵢ (m : OuterMeasure α) {β} [Countable β] (s : β → Set α) :
     m (⋃ i, s i) ≤ ∑' i, m (s i) :=
   rel_supᵢ_tsum m m.Empty (· ≤ ·) m.unionᵢ_nat s
 #align measure_theory.outer_measure.Union MeasureTheory.OuterMeasure.unionᵢ
 
+/- warning: measure_theory.outer_measure.Union_null -> MeasureTheory.OuterMeasure.unionᵢ_null is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : Countable.{succ u2} β] (m : MeasureTheory.OuterMeasure.{u1} α) {s : β -> (Set.{u1} α)}, (forall (i : β), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s i)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.unionᵢ.{u1, succ u2} α β (fun (i : β) => s i))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))
+but is expected to have type
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : Countable.{succ u2} β] (m : MeasureTheory.OuterMeasure.{u1} α) {s : β -> (Set.{u1} α)}, (forall (i : β), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (s i)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Set.unionᵢ.{u1, succ u2} α β (fun (i : β) => s i))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Union_null MeasureTheory.OuterMeasure.unionᵢ_nullₓ'. -/
 theorem unionᵢ_null [Countable β] (m : OuterMeasure α) {s : β → Set α} (h : ∀ i, m (s i) = 0) :
     m (⋃ i, s i) = 0 := by simpa [h] using m.Union s
 #align measure_theory.outer_measure.Union_null MeasureTheory.OuterMeasure.unionᵢ_null
 
+/- warning: measure_theory.outer_measure.Union_null_iff -> MeasureTheory.OuterMeasure.unionᵢ_null_iff is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : Countable.{succ u2} β] (m : MeasureTheory.OuterMeasure.{u1} α) {s : β -> (Set.{u1} α)}, Iff (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.unionᵢ.{u1, succ u2} α β (fun (i : β) => s i))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (forall (i : β), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s i)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))
+but is expected to have type
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : Countable.{succ u2} β] (m : MeasureTheory.OuterMeasure.{u1} α) {s : β -> (Set.{u1} α)}, Iff (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Set.unionᵢ.{u1, succ u2} α β (fun (i : β) => s i))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (forall (i : β), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (s i)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Union_null_iff MeasureTheory.OuterMeasure.unionᵢ_null_iffₓ'. -/
 @[simp]
 theorem unionᵢ_null_iff [Countable β] (m : OuterMeasure α) {s : β → Set α} :
     m (⋃ i, s i) = 0 ↔ ∀ i, m (s i) = 0 :=
   ⟨fun h i => m.mono_null (subset_unionᵢ _ _) h, m.unionᵢ_null⟩
 #align measure_theory.outer_measure.Union_null_iff MeasureTheory.OuterMeasure.unionᵢ_null_iff
 
+/- warning: measure_theory.outer_measure.Union_null_iff' -> MeasureTheory.OuterMeasure.unionᵢ_null_iff' is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {ι : Prop} {s : ι -> (Set.{u1} α)}, Iff (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.unionᵢ.{u1, 0} α ι (fun (i : ι) => s i))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (forall (i : ι), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s i)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))
+but is expected to have type
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {ι : Prop} {s : ι -> (Set.{u1} α)}, Iff (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Set.unionᵢ.{u1, 0} α ι (fun (i : ι) => s i))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (forall (i : ι), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (s i)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Union_null_iff' MeasureTheory.OuterMeasure.unionᵢ_null_iff'ₓ'. -/
 /-- A version of `Union_null_iff` for unions indexed by Props.
 TODO: in the long run it would be better to combine this with `Union_null_iff` by
 generalising to `Sort`. -/
@@ -129,26 +179,56 @@ theorem unionᵢ_null_iff' (m : OuterMeasure α) {ι : Prop} {s : ι → Set α}
     m (⋃ i, s i) = 0 ↔ ∀ i, m (s i) = 0 := by by_cases i : ι <;> simp [i]
 #align measure_theory.outer_measure.Union_null_iff' MeasureTheory.OuterMeasure.unionᵢ_null_iff'
 
-theorem bUnion_null_iff (m : OuterMeasure α) {s : Set β} (hs : s.Countable) {t : β → Set α} :
+/- warning: measure_theory.outer_measure.bUnion_null_iff -> MeasureTheory.OuterMeasure.bunionᵢ_null_iff is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Set.{u2} β}, (Set.Countable.{u2} β s) -> (forall {t : β -> (Set.{u1} α)}, Iff (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.unionᵢ.{u1, succ u2} α β (fun (i : β) => Set.unionᵢ.{u1, 0} α (Membership.Mem.{u2, u2} β (Set.{u2} β) (Set.hasMem.{u2} β) i s) (fun (H : Membership.Mem.{u2, u2} β (Set.{u2} β) (Set.hasMem.{u2} β) i s) => t i)))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (forall (i : β), (Membership.Mem.{u2, u2} β (Set.{u2} β) (Set.hasMem.{u2} β) i s) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (t i)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))))
+but is expected to have type
+  forall {α : Type.{u2}} {β : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u2} α) {s : Set.{u1} β}, (Set.Countable.{u1} β s) -> (forall {t : β -> (Set.{u2} α)}, Iff (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u2} α m (Set.unionᵢ.{u2, succ u1} α β (fun (i : β) => Set.unionᵢ.{u2, 0} α (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) i s) (fun (H : Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) i s) => t i)))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (forall (i : β), (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) i s) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u2} α m (t i)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.bUnion_null_iff MeasureTheory.OuterMeasure.bunionᵢ_null_iffₓ'. -/
+theorem bunionᵢ_null_iff (m : OuterMeasure α) {s : Set β} (hs : s.Countable) {t : β → Set α} :
     m (⋃ i ∈ s, t i) = 0 ↔ ∀ i ∈ s, m (t i) = 0 :=
   by
   haveI := hs.to_encodable
   rw [bUnion_eq_Union, Union_null_iff, SetCoe.forall']
-#align measure_theory.outer_measure.bUnion_null_iff MeasureTheory.OuterMeasure.bUnion_null_iff
-
+#align measure_theory.outer_measure.bUnion_null_iff MeasureTheory.OuterMeasure.bunionᵢ_null_iff
+
+/- warning: measure_theory.outer_measure.sUnion_null_iff -> MeasureTheory.OuterMeasure.unionₛ_null_iff is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {S : Set.{u1} (Set.{u1} α)}, (Set.Countable.{u1} (Set.{u1} α) S) -> (Iff (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.unionₛ.{u1} α S)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (forall (s : Set.{u1} α), (Membership.Mem.{u1, u1} (Set.{u1} α) (Set.{u1} (Set.{u1} α)) (Set.hasMem.{u1} (Set.{u1} α)) s S) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m s) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))))
+but is expected to have type
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {S : Set.{u1} (Set.{u1} α)}, (Set.Countable.{u1} (Set.{u1} α) S) -> (Iff (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Set.unionₛ.{u1} α S)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (forall (s : Set.{u1} α), (Membership.mem.{u1, u1} (Set.{u1} α) (Set.{u1} (Set.{u1} α)) (Set.instMembershipSet.{u1} (Set.{u1} α)) s S) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m s) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.sUnion_null_iff MeasureTheory.OuterMeasure.unionₛ_null_iffₓ'. -/
 theorem unionₛ_null_iff (m : OuterMeasure α) {S : Set (Set α)} (hS : S.Countable) :
     m (⋃₀ S) = 0 ↔ ∀ s ∈ S, m s = 0 := by rw [sUnion_eq_bUnion, m.bUnion_null_iff hS]
 #align measure_theory.outer_measure.sUnion_null_iff MeasureTheory.OuterMeasure.unionₛ_null_iff
 
+/- warning: measure_theory.outer_measure.Union_finset -> MeasureTheory.OuterMeasure.unionᵢ_finset is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}} (m : MeasureTheory.OuterMeasure.{u1} α) (s : β -> (Set.{u1} α)) (t : Finset.{u2} β), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.unionᵢ.{u1, succ u2} α β (fun (i : β) => Set.unionᵢ.{u1, 0} α (Membership.Mem.{u2, u2} β (Finset.{u2} β) (Finset.hasMem.{u2} β) i t) (fun (H : Membership.Mem.{u2, u2} β (Finset.{u2} β) (Finset.hasMem.{u2} β) i t) => s i)))) (Finset.sum.{0, u2} ENNReal β (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) t (fun (i : β) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s i)))
+but is expected to have type
+  forall {α : Type.{u2}} {β : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u2} α) (s : β -> (Set.{u2} α)) (t : Finset.{u1} β), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u2} α m (Set.unionᵢ.{u2, succ u1} α β (fun (i : β) => Set.unionᵢ.{u2, 0} α (Membership.mem.{u1, u1} β (Finset.{u1} β) (Finset.instMembershipFinset.{u1} β) i t) (fun (H : Membership.mem.{u1, u1} β (Finset.{u1} β) (Finset.instMembershipFinset.{u1} β) i t) => s i)))) (Finset.sum.{0, u1} ENNReal β (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) t (fun (i : β) => MeasureTheory.OuterMeasure.measureOf.{u2} α m (s i)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Union_finset MeasureTheory.OuterMeasure.unionᵢ_finsetₓ'. -/
 protected theorem unionᵢ_finset (m : OuterMeasure α) (s : β → Set α) (t : Finset β) :
     m (⋃ i ∈ t, s i) ≤ ∑ i in t, m (s i) :=
   rel_supᵢ_sum m m.Empty (· ≤ ·) m.unionᵢ_nat s t
 #align measure_theory.outer_measure.Union_finset MeasureTheory.OuterMeasure.unionᵢ_finset
 
+/- warning: measure_theory.outer_measure.union -> MeasureTheory.OuterMeasure.union is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) (s₁ : Set.{u1} α) (s₂ : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Union.union.{u1} (Set.{u1} α) (Set.hasUnion.{u1} α) s₁ s₂)) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m s₁) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m s₂))
+but is expected to have type
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) (s₁ : Set.{u1} α) (s₂ : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Union.union.{u1} (Set.{u1} α) (Set.instUnionSet.{u1} α) s₁ s₂)) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m s₁) (MeasureTheory.OuterMeasure.measureOf.{u1} α m s₂))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.union MeasureTheory.OuterMeasure.unionₓ'. -/
 protected theorem union (m : OuterMeasure α) (s₁ s₂ : Set α) : m (s₁ ∪ s₂) ≤ m s₁ + m s₂ :=
   rel_sup_add m m.Empty (· ≤ ·) m.unionᵢ_nat s₁ s₂
 #align measure_theory.outer_measure.union MeasureTheory.OuterMeasure.union
 
+/- warning: measure_theory.outer_measure.null_of_locally_null -> MeasureTheory.OuterMeasure.null_of_locally_null is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} α] [_inst_2 : TopologicalSpace.SecondCountableTopology.{u1} α _inst_1] (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), (forall (x : α), (Membership.Mem.{u1, u1} α (Set.{u1} α) (Set.hasMem.{u1} α) x s) -> (Exists.{succ u1} (Set.{u1} α) (fun (u : Set.{u1} α) => Exists.{0} (Membership.Mem.{u1, u1} (Set.{u1} α) (Filter.{u1} α) (Filter.hasMem.{u1} α) u (nhdsWithin.{u1} α _inst_1 x s)) (fun (H : Membership.Mem.{u1, u1} (Set.{u1} α) (Filter.{u1} α) (Filter.hasMem.{u1} α) u (nhdsWithin.{u1} α _inst_1 x s)) => Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m u) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))))) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m s) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} α] [_inst_2 : TopologicalSpace.SecondCountableTopology.{u1} α _inst_1] (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), (forall (x : α), (Membership.mem.{u1, u1} α (Set.{u1} α) (Set.instMembershipSet.{u1} α) x s) -> (Exists.{succ u1} (Set.{u1} α) (fun (u : Set.{u1} α) => And (Membership.mem.{u1, u1} (Set.{u1} α) (Filter.{u1} α) (instMembershipSetFilter.{u1} α) u (nhdsWithin.{u1} α _inst_1 x s)) (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m u) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))))) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m s) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.null_of_locally_null MeasureTheory.OuterMeasure.null_of_locally_nullₓ'. -/
 /- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (t «expr ⊆ » s) -/
 /-- If a set has zero measure in a neighborhood of each of its points, then it has zero measure
 in a second-countable space. -/
@@ -162,15 +242,27 @@ theorem null_of_locally_null [TopologicalSpace α] [SecondCountableTopology α]
   exact (m.bUnion_null_iff t_count).2 fun x hx => hu₀ x (ts hx)
 #align measure_theory.outer_measure.null_of_locally_null MeasureTheory.OuterMeasure.null_of_locally_null
 
+/- warning: measure_theory.outer_measure.exists_mem_forall_mem_nhds_within_pos -> MeasureTheory.OuterMeasure.exists_mem_forall_mem_nhds_within_pos is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} α] [_inst_2 : TopologicalSpace.SecondCountableTopology.{u1} α _inst_1] (m : MeasureTheory.OuterMeasure.{u1} α) {s : Set.{u1} α}, (Ne.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m s) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (Exists.{succ u1} α (fun (x : α) => Exists.{0} (Membership.Mem.{u1, u1} α (Set.{u1} α) (Set.hasMem.{u1} α) x s) (fun (H : Membership.Mem.{u1, u1} α (Set.{u1} α) (Set.hasMem.{u1} α) x s) => forall (t : Set.{u1} α), (Membership.Mem.{u1, u1} (Set.{u1} α) (Filter.{u1} α) (Filter.hasMem.{u1} α) t (nhdsWithin.{u1} α _inst_1 x s)) -> (LT.lt.{0} ENNReal (Preorder.toLT.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m t)))))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} α] [_inst_2 : TopologicalSpace.SecondCountableTopology.{u1} α _inst_1] (m : MeasureTheory.OuterMeasure.{u1} α) {s : Set.{u1} α}, (Ne.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m s) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (Exists.{succ u1} α (fun (x : α) => And (Membership.mem.{u1, u1} α (Set.{u1} α) (Set.instMembershipSet.{u1} α) x s) (forall (t : Set.{u1} α), (Membership.mem.{u1, u1} (Set.{u1} α) (Filter.{u1} α) (instMembershipSetFilter.{u1} α) t (nhdsWithin.{u1} α _inst_1 x s)) -> (LT.lt.{0} ENNReal (Preorder.toLT.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (MeasureTheory.OuterMeasure.measureOf.{u1} α m t)))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.exists_mem_forall_mem_nhds_within_pos MeasureTheory.OuterMeasure.exists_mem_forall_mem_nhds_within_posₓ'. -/
 /-- If `m s ≠ 0`, then for some point `x ∈ s` and any `t ∈ 𝓝[s] x` we have `0 < m t`. -/
-theorem exists_mem_forall_mem_nhdsWithin_pos [TopologicalSpace α] [SecondCountableTopology α]
+theorem exists_mem_forall_mem_nhds_within_pos [TopologicalSpace α] [SecondCountableTopology α]
     (m : OuterMeasure α) {s : Set α} (hs : m s ≠ 0) : ∃ x ∈ s, ∀ t ∈ 𝓝[s] x, 0 < m t :=
   by
   contrapose! hs
   simp only [nonpos_iff_eq_zero, ← exists_prop] at hs
   exact m.null_of_locally_null s hs
-#align measure_theory.outer_measure.exists_mem_forall_mem_nhds_within_pos MeasureTheory.OuterMeasure.exists_mem_forall_mem_nhdsWithin_pos
-
+#align measure_theory.outer_measure.exists_mem_forall_mem_nhds_within_pos MeasureTheory.OuterMeasure.exists_mem_forall_mem_nhds_within_pos
+
+/- warning: measure_theory.outer_measure.Union_of_tendsto_zero -> MeasureTheory.OuterMeasure.unionᵢ_of_tendsto_zero is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {ι : Type.{u2}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : ι -> (Set.{u1} α)} (l : Filter.{u2} ι) [_inst_1 : Filter.NeBot.{u2} ι l], (Filter.Tendsto.{u2, 0} ι ENNReal (fun (k : ι) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (SDiff.sdiff.{u1} (Set.{u1} α) (BooleanAlgebra.toHasSdiff.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)) (Set.unionᵢ.{u1, succ u2} α ι (fun (n : ι) => s n)) (s k))) l (nhds.{0} ENNReal ENNReal.topologicalSpace (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.unionᵢ.{u1, succ u2} α ι (fun (n : ι) => s n))) (supᵢ.{0, succ u2} ENNReal (ConditionallyCompleteLattice.toHasSup.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) ι (fun (n : ι) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s n))))
+but is expected to have type
+  forall {α : Type.{u1}} {ι : Type.{u2}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : ι -> (Set.{u1} α)} (l : Filter.{u2} ι) [_inst_1 : Filter.NeBot.{u2} ι l], (Filter.Tendsto.{u2, 0} ι ENNReal (fun (k : ι) => MeasureTheory.OuterMeasure.measureOf.{u1} α m (SDiff.sdiff.{u1} (Set.{u1} α) (Set.instSDiffSet.{u1} α) (Set.unionᵢ.{u1, succ u2} α ι (fun (n : ι) => s n)) (s k))) l (nhds.{0} ENNReal ENNReal.instTopologicalSpaceENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Set.unionᵢ.{u1, succ u2} α ι (fun (n : ι) => s n))) (supᵢ.{0, succ u2} ENNReal (ConditionallyCompleteLattice.toSupSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) ι (fun (n : ι) => MeasureTheory.OuterMeasure.measureOf.{u1} α m (s n))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Union_of_tendsto_zero MeasureTheory.OuterMeasure.unionᵢ_of_tendsto_zeroₓ'. -/
 /-- If `s : ι → set α` is a sequence of sets, `S = ⋃ n, s n`, and `m (S \ s n)` tends to zero along
 some nontrivial filter (usually `at_top` on `ι = ℕ`), then `m S = ⨆ n, m (s n)`. -/
 theorem unionᵢ_of_tendsto_zero {ι} (m : OuterMeasure α) {s : ι → Set α} (l : Filter ι) [NeBot l]
@@ -191,6 +283,12 @@ theorem unionᵢ_of_tendsto_zero {ι} (m : OuterMeasure α) {s : ι → Set α}
   exact ge_of_tendsto' B A
 #align measure_theory.outer_measure.Union_of_tendsto_zero MeasureTheory.OuterMeasure.unionᵢ_of_tendsto_zero
 
+/- warning: measure_theory.outer_measure.Union_nat_of_monotone_of_tsum_ne_top -> MeasureTheory.OuterMeasure.unionᵢ_nat_of_monotone_of_tsum_ne_top is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Nat -> (Set.{u1} α)}, (forall (n : Nat), HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) (s n) (s (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) -> (Ne.{1} ENNReal (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (k : Nat) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (SDiff.sdiff.{u1} (Set.{u1} α) (BooleanAlgebra.toHasSdiff.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)) (s (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) k (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (s k)))) (Top.top.{0} ENNReal (CompleteLattice.toHasTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder)))) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.unionᵢ.{u1, 1} α Nat (fun (n : Nat) => s n))) (supᵢ.{0, 1} ENNReal (ConditionallyCompleteLattice.toHasSup.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) Nat (fun (n : Nat) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s n))))
+but is expected to have type
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Nat -> (Set.{u1} α)}, (forall (n : Nat), HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) (s n) (s (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) -> (Ne.{1} ENNReal (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (k : Nat) => MeasureTheory.OuterMeasure.measureOf.{u1} α m (SDiff.sdiff.{u1} (Set.{u1} α) (Set.instSDiffSet.{u1} α) (s (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) k (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (s k)))) (Top.top.{0} ENNReal (CompleteLattice.toTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) -> (forall [inst._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.2629 : forall (i : Nat), DecidablePred.{succ u1} α (fun (x._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.2641 : α) => Membership.mem.{u1, u1} α (Set.{u1} α) (Set.instMembershipSet.{u1} α) x._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.2641 (s i))], Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Set.unionᵢ.{u1, 1} α Nat (fun (n : Nat) => s n))) (supᵢ.{0, 1} ENNReal (ConditionallyCompleteLattice.toSupSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) Nat (fun (n : Nat) => MeasureTheory.OuterMeasure.measureOf.{u1} α m (s n))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Union_nat_of_monotone_of_tsum_ne_top MeasureTheory.OuterMeasure.unionᵢ_nat_of_monotone_of_tsum_ne_topₓ'. -/
 /-- If `s : ℕ → set α` is a monotone sequence of sets such that `∑' k, m (s (k + 1) \ s k) ≠ ∞`,
 then `m (⋃ n, s n) = ⨆ n, m (s n)`. -/
 theorem unionᵢ_nat_of_monotone_of_tsum_ne_top (m : OuterMeasure α) {s : ℕ → Set α}
@@ -214,12 +312,24 @@ theorem unionᵢ_nat_of_monotone_of_tsum_ne_top (m : OuterMeasure α) {s : ℕ 
   · rw [← Nat.succ_le_iff, Nat.succ_eq_add_one, this]
 #align measure_theory.outer_measure.Union_nat_of_monotone_of_tsum_ne_top MeasureTheory.OuterMeasure.unionᵢ_nat_of_monotone_of_tsum_ne_top
 
+/- warning: measure_theory.outer_measure.le_inter_add_diff -> MeasureTheory.OuterMeasure.le_inter_add_diff is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {m : MeasureTheory.OuterMeasure.{u1} α} {t : Set.{u1} α} (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m t) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t s)) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (SDiff.sdiff.{u1} (Set.{u1} α) (BooleanAlgebra.toHasSdiff.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)) t s)))
+but is expected to have type
+  forall {α : Type.{u1}} {m : MeasureTheory.OuterMeasure.{u1} α} {t : Set.{u1} α} (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m t) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (SDiff.sdiff.{u1} (Set.{u1} α) (Set.instSDiffSet.{u1} α) t s)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_inter_add_diff MeasureTheory.OuterMeasure.le_inter_add_diffₓ'. -/
 theorem le_inter_add_diff {m : OuterMeasure α} {t : Set α} (s : Set α) :
     m t ≤ m (t ∩ s) + m (t \ s) := by
   convert m.union _ _
   rw [inter_union_diff t s]
 #align measure_theory.outer_measure.le_inter_add_diff MeasureTheory.OuterMeasure.le_inter_add_diff
 
+/- warning: measure_theory.outer_measure.diff_null -> MeasureTheory.OuterMeasure.diff_null is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α) {t : Set.{u1} α}, (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m t) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (SDiff.sdiff.{u1} (Set.{u1} α) (BooleanAlgebra.toHasSdiff.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)) s t)) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m s))
+but is expected to have type
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α) {t : Set.{u1} α}, (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m t) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (SDiff.sdiff.{u1} (Set.{u1} α) (Set.instSDiffSet.{u1} α) s t)) (MeasureTheory.OuterMeasure.measureOf.{u1} α m s))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.diff_null MeasureTheory.OuterMeasure.diff_nullₓ'. -/
 theorem diff_null (m : OuterMeasure α) (s : Set α) {t : Set α} (ht : m t = 0) : m (s \ t) = m s :=
   by
   refine' le_antisymm (m.mono <| diff_subset _ _) _
@@ -230,29 +340,41 @@ theorem diff_null (m : OuterMeasure α) (s : Set α) {t : Set α} (ht : m t = 0)
     
 #align measure_theory.outer_measure.diff_null MeasureTheory.OuterMeasure.diff_null
 
+/- warning: measure_theory.outer_measure.union_null -> MeasureTheory.OuterMeasure.union_null is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m s₁) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m s₂) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Union.union.{u1} (Set.{u1} α) (Set.hasUnion.{u1} α) s₁ s₂)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))
+but is expected to have type
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m s₁) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m s₂) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Union.union.{u1} (Set.{u1} α) (Set.instUnionSet.{u1} α) s₁ s₂)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.union_null MeasureTheory.OuterMeasure.union_nullₓ'. -/
 theorem union_null (m : OuterMeasure α) {s₁ s₂ : Set α} (h₁ : m s₁ = 0) (h₂ : m s₂ = 0) :
     m (s₁ ∪ s₂) = 0 := by simpa [h₁, h₂] using m.union s₁ s₂
 #align measure_theory.outer_measure.union_null MeasureTheory.OuterMeasure.union_null
 
-theorem coeFn_injective : Injective fun (μ : OuterMeasure α) (s : Set α) => μ s := fun μ₁ μ₂ h =>
+#print MeasureTheory.OuterMeasure.coe_fn_injective /-
+theorem coe_fn_injective : Injective fun (μ : OuterMeasure α) (s : Set α) => μ s := fun μ₁ μ₂ h =>
   by
   cases μ₁
   cases μ₂
   congr
   exact h
-#align measure_theory.outer_measure.coe_fn_injective MeasureTheory.OuterMeasure.coeFn_injective
+#align measure_theory.outer_measure.coe_fn_injective MeasureTheory.OuterMeasure.coe_fn_injective
+-/
 
+#print MeasureTheory.OuterMeasure.ext /-
 @[ext]
 theorem ext {μ₁ μ₂ : OuterMeasure α} (h : ∀ s, μ₁ s = μ₂ s) : μ₁ = μ₂ :=
-  coeFn_injective <| funext h
+  coe_fn_injective <| funext h
 #align measure_theory.outer_measure.ext MeasureTheory.OuterMeasure.ext
+-/
 
+#print MeasureTheory.OuterMeasure.ext_nonempty /-
 /-- A version of `measure_theory.outer_measure.ext` that assumes `μ₁ s = μ₂ s` on all *nonempty*
 sets `s`, and gets `μ₁ ∅ = μ₂ ∅` from `measure_theory.outer_measure.empty'`. -/
 theorem ext_nonempty {μ₁ μ₂ : OuterMeasure α} (h : ∀ s : Set α, s.Nonempty → μ₁ s = μ₂ s) :
     μ₁ = μ₂ :=
   ext fun s => s.eq_empty_or_nonempty.elim (fun he => by rw [he, empty', empty']) (h s)
 #align measure_theory.outer_measure.ext_nonempty MeasureTheory.OuterMeasure.ext_nonempty
+-/
 
 instance : Zero (OuterMeasure α) :=
   ⟨{  measureOf := fun _ => 0
@@ -260,6 +382,12 @@ instance : Zero (OuterMeasure α) :=
       mono := fun _ _ _ => le_refl 0
       unionᵢ_nat := fun s => zero_le _ }⟩
 
+/- warning: measure_theory.outer_measure.coe_zero -> MeasureTheory.OuterMeasure.coe_zero is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}}, Eq.{succ u1} ((Set.{u1} α) -> ENNReal) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (OfNat.ofNat.{u1} (MeasureTheory.OuterMeasure.{u1} α) 0 (OfNat.mk.{u1} (MeasureTheory.OuterMeasure.{u1} α) 0 (Zero.zero.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instZero.{u1} α))))) (OfNat.ofNat.{u1} ((Set.{u1} α) -> ENNReal) 0 (OfNat.mk.{u1} ((Set.{u1} α) -> ENNReal) 0 (Zero.zero.{u1} ((Set.{u1} α) -> ENNReal) (Pi.instZero.{u1, 0} (Set.{u1} α) (fun (ᾰ : Set.{u1} α) => ENNReal) (fun (i : Set.{u1} α) => ENNReal.hasZero)))))
+but is expected to have type
+  forall {α : Type.{u1}}, Eq.{succ u1} ((Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.measureOf.{u1} α (OfNat.ofNat.{u1} (MeasureTheory.OuterMeasure.{u1} α) 0 (Zero.toOfNat0.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instZero.{u1} α)))) (OfNat.ofNat.{u1} ((Set.{u1} α) -> ENNReal) 0 (Zero.toOfNat0.{u1} ((Set.{u1} α) -> ENNReal) (Pi.instZero.{u1, 0} (Set.{u1} α) (fun (a._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.11 : Set.{u1} α) => ENNReal) (fun (i : Set.{u1} α) => instENNRealZero))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.coe_zero MeasureTheory.OuterMeasure.coe_zeroₓ'. -/
 @[simp]
 theorem coe_zero : ⇑(0 : OuterMeasure α) = 0 :=
   rfl
@@ -280,11 +408,23 @@ instance : Add (OuterMeasure α) :=
           _ = _ := ENNReal.tsum_add.symm
            }⟩
 
+/- warning: measure_theory.outer_measure.coe_add -> MeasureTheory.OuterMeasure.coe_add is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m₁ : MeasureTheory.OuterMeasure.{u1} α) (m₂ : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} ((Set.{u1} α) -> ENNReal) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (HAdd.hAdd.{u1, u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (instHAdd.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instAdd.{u1} α)) m₁ m₂)) (HAdd.hAdd.{u1, u1, u1} ((Set.{u1} α) -> ENNReal) ((Set.{u1} α) -> ENNReal) ((Set.{u1} α) -> ENNReal) (instHAdd.{u1} ((Set.{u1} α) -> ENNReal) (Pi.instAdd.{u1, 0} (Set.{u1} α) (fun (ᾰ : Set.{u1} α) => ENNReal) (fun (i : Set.{u1} α) => Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m₁) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m₂))
+but is expected to have type
+  forall {α : Type.{u1}} (m₁ : MeasureTheory.OuterMeasure.{u1} α) (m₂ : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} ((Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.measureOf.{u1} α (HAdd.hAdd.{u1, u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (instHAdd.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instAdd.{u1} α)) m₁ m₂)) (HAdd.hAdd.{u1, u1, u1} ((Set.{u1} α) -> ENNReal) ((Set.{u1} α) -> ENNReal) ((Set.{u1} α) -> ENNReal) (instHAdd.{u1} ((Set.{u1} α) -> ENNReal) (Pi.instAdd.{u1, 0} (Set.{u1} α) (fun (ᾰ : Set.{u1} α) => ENNReal) (fun (i : Set.{u1} α) => Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m₁) (MeasureTheory.OuterMeasure.measureOf.{u1} α m₂))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.coe_add MeasureTheory.OuterMeasure.coe_addₓ'. -/
 @[simp]
 theorem coe_add (m₁ m₂ : OuterMeasure α) : ⇑(m₁ + m₂) = m₁ + m₂ :=
   rfl
 #align measure_theory.outer_measure.coe_add MeasureTheory.OuterMeasure.coe_add
 
+/- warning: measure_theory.outer_measure.add_apply -> MeasureTheory.OuterMeasure.add_apply is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m₁ : MeasureTheory.OuterMeasure.{u1} α) (m₂ : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (HAdd.hAdd.{u1, u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (instHAdd.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instAdd.{u1} α)) m₁ m₂) s) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m₁ s) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m₂ s))
+but is expected to have type
+  forall {α : Type.{u1}} (m₁ : MeasureTheory.OuterMeasure.{u1} α) (m₂ : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (HAdd.hAdd.{u1, u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (instHAdd.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instAdd.{u1} α)) m₁ m₂) s) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m₁ s) (MeasureTheory.OuterMeasure.measureOf.{u1} α m₂ s))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.add_apply MeasureTheory.OuterMeasure.add_applyₓ'. -/
 theorem add_apply (m₁ m₂ : OuterMeasure α) (s : Set α) : (m₁ + m₂) s = m₁ s + m₂ s :=
   rfl
 #align measure_theory.outer_measure.add_apply MeasureTheory.OuterMeasure.add_apply
@@ -307,11 +447,23 @@ instance : SMul R (OuterMeasure α) :=
         simp_rw [← smul_one_mul c (m _), ENNReal.tsum_mul_left]
         exact ENNReal.mul_left_mono (m.Union _) }⟩
 
+/- warning: measure_theory.outer_measure.coe_smul -> MeasureTheory.OuterMeasure.coe_smul is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {R : Type.{u2}} [_inst_1 : SMul.{u2, 0} R ENNReal] [_inst_2 : IsScalarTower.{u2, 0, 0} R ENNReal ENNReal _inst_1 (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) _inst_1] (c : R) (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} ((Set.{u1} α) -> ENNReal) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (SMul.smul.{u2, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.hasSmul.{u1, u2} α R _inst_1 _inst_2) c m)) (SMul.smul.{u2, u1} R ((Set.{u1} α) -> ENNReal) (Function.hasSMul.{u1, u2, 0} (Set.{u1} α) R ENNReal _inst_1) c (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m))
+but is expected to have type
+  forall {α : Type.{u2}} {R : Type.{u1}} [_inst_1 : SMul.{u1, 0} R ENNReal] [_inst_2 : IsScalarTower.{u1, 0, 0} R ENNReal ENNReal _inst_1 (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) _inst_1] (c : R) (m : MeasureTheory.OuterMeasure.{u2} α), Eq.{succ u2} ((Set.{u2} α) -> ENNReal) (MeasureTheory.OuterMeasure.measureOf.{u2} α (HSMul.hSMul.{u1, u2, u2} R (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.{u2} α) (instHSMul.{u1, u2} R (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.instSMul.{u2, u1} α R _inst_1 _inst_2)) c m)) (HSMul.hSMul.{u1, u2, u2} R ((Set.{u2} α) -> ENNReal) ((Set.{u2} α) -> ENNReal) (instHSMul.{u1, u2} R ((Set.{u2} α) -> ENNReal) (Pi.instSMul.{u2, 0, u1} (Set.{u2} α) R (fun (a._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.11 : Set.{u2} α) => ENNReal) (fun (i : Set.{u2} α) => _inst_1))) c (MeasureTheory.OuterMeasure.measureOf.{u2} α m))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.coe_smul MeasureTheory.OuterMeasure.coe_smulₓ'. -/
 @[simp]
 theorem coe_smul (c : R) (m : OuterMeasure α) : ⇑(c • m) = c • m :=
   rfl
 #align measure_theory.outer_measure.coe_smul MeasureTheory.OuterMeasure.coe_smul
 
+/- warning: measure_theory.outer_measure.smul_apply -> MeasureTheory.OuterMeasure.smul_apply is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {R : Type.{u2}} [_inst_1 : SMul.{u2, 0} R ENNReal] [_inst_2 : IsScalarTower.{u2, 0, 0} R ENNReal ENNReal _inst_1 (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) _inst_1] (c : R) (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (SMul.smul.{u2, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.hasSmul.{u1, u2} α R _inst_1 _inst_2) c m) s) (SMul.smul.{u2, 0} R ENNReal _inst_1 c (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m s))
+but is expected to have type
+  forall {α : Type.{u2}} {R : Type.{u1}} [_inst_1 : SMul.{u1, 0} R ENNReal] [_inst_2 : IsScalarTower.{u1, 0, 0} R ENNReal ENNReal _inst_1 (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) _inst_1] (c : R) (m : MeasureTheory.OuterMeasure.{u2} α) (s : Set.{u2} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u2} α (HSMul.hSMul.{u1, u2, u2} R (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.{u2} α) (instHSMul.{u1, u2} R (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.instSMul.{u2, u1} α R _inst_1 _inst_2)) c m) s) (HSMul.hSMul.{u1, 0, 0} R ENNReal ENNReal (instHSMul.{u1, 0} R ENNReal _inst_1) c (MeasureTheory.OuterMeasure.measureOf.{u2} α m s))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.smul_apply MeasureTheory.OuterMeasure.smul_applyₓ'. -/
 theorem smul_apply (c : R) (m : OuterMeasure α) (s : Set α) : (c • m) s = c • m s :=
   rfl
 #align measure_theory.outer_measure.smul_apply MeasureTheory.OuterMeasure.smul_apply
@@ -328,47 +480,63 @@ instance [SMul Rᵐᵒᵖ ℝ≥0∞] [IsCentralScalar R ℝ≥0∞] : IsCentral
 end SMul
 
 instance [Monoid R] [MulAction R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞] : MulAction R (OuterMeasure α) :=
-  Injective.mulAction _ coeFn_injective coe_smul
+  Injective.mulAction _ coe_fn_injective coe_smul
 
+#print MeasureTheory.OuterMeasure.addCommMonoid /-
 instance addCommMonoid : AddCommMonoid (OuterMeasure α) :=
-  Injective.addCommMonoid (show OuterMeasure α → Set α → ℝ≥0∞ from coeFn) coeFn_injective rfl
+  Injective.addCommMonoid (show OuterMeasure α → Set α → ℝ≥0∞ from coeFn) coe_fn_injective rfl
     (fun _ _ => rfl) fun _ _ => rfl
 #align measure_theory.outer_measure.add_comm_monoid MeasureTheory.OuterMeasure.addCommMonoid
+-/
 
+#print MeasureTheory.OuterMeasure.coeFnAddMonoidHom /-
 /-- `coe_fn` as an `add_monoid_hom`. -/
 @[simps]
 def coeFnAddMonoidHom : OuterMeasure α →+ Set α → ℝ≥0∞ :=
   ⟨coeFn, coe_zero, coe_add⟩
 #align measure_theory.outer_measure.coe_fn_add_monoid_hom MeasureTheory.OuterMeasure.coeFnAddMonoidHom
+-/
 
 instance [Monoid R] [DistribMulAction R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞] :
     DistribMulAction R (OuterMeasure α) :=
-  Injective.distribMulAction coeFnAddMonoidHom coeFn_injective coe_smul
+  Injective.distribMulAction coeFnAddMonoidHom coe_fn_injective coe_smul
 
 instance [Semiring R] [Module R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞] : Module R (OuterMeasure α) :=
-  Injective.module R coeFnAddMonoidHom coeFn_injective coe_smul
+  Injective.module R coeFnAddMonoidHom coe_fn_injective coe_smul
 
 instance : Bot (OuterMeasure α) :=
   ⟨0⟩
 
+#print MeasureTheory.OuterMeasure.coe_bot /-
 @[simp]
 theorem coe_bot : (⊥ : OuterMeasure α) = 0 :=
   rfl
 #align measure_theory.outer_measure.coe_bot MeasureTheory.OuterMeasure.coe_bot
+-/
 
-instance OuterMeasure.partialOrder : PartialOrder (OuterMeasure α)
+#print MeasureTheory.OuterMeasure.instPartialOrder /-
+instance MeasureTheory.OuterMeasure.instPartialOrder : PartialOrder (OuterMeasure α)
     where
   le m₁ m₂ := ∀ s, m₁ s ≤ m₂ s
   le_refl a s := le_rfl
   le_trans a b c hab hbc s := le_trans (hab s) (hbc s)
   le_antisymm a b hab hba := ext fun s => le_antisymm (hab s) (hba s)
-#align measure_theory.outer_measure.outer_measure.partial_order MeasureTheory.OuterMeasure.OuterMeasure.partialOrder
+#align measure_theory.outer_measure.outer_measure.partial_order MeasureTheory.OuterMeasure.instPartialOrder
+-/
 
+#print MeasureTheory.OuterMeasure.OuterMeasure.orderBot /-
 instance OuterMeasure.orderBot : OrderBot (OuterMeasure α) :=
-  { OuterMeasure.hasBot with
+  { OuterMeasure.instBot with
     bot_le := fun a s => by simp only [coe_zero, Pi.zero_apply, coe_bot, zero_le] }
 #align measure_theory.outer_measure.outer_measure.order_bot MeasureTheory.OuterMeasure.OuterMeasure.orderBot
+-/
 
+/- warning: measure_theory.outer_measure.univ_eq_zero_iff -> MeasureTheory.OuterMeasure.univ_eq_zero_iff is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α), Iff (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.univ.{u1} α)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) m (OfNat.ofNat.{u1} (MeasureTheory.OuterMeasure.{u1} α) 0 (OfNat.mk.{u1} (MeasureTheory.OuterMeasure.{u1} α) 0 (Zero.zero.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instZero.{u1} α)))))
+but is expected to have type
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α), Iff (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Set.univ.{u1} α)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) m (OfNat.ofNat.{u1} (MeasureTheory.OuterMeasure.{u1} α) 0 (Zero.toOfNat0.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instZero.{u1} α))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.univ_eq_zero_iff MeasureTheory.OuterMeasure.univ_eq_zero_iffₓ'. -/
 theorem univ_eq_zero_iff (m : OuterMeasure α) : m univ = 0 ↔ m = 0 :=
   ⟨fun h => bot_unique fun s => (m.mono' <| subset_univ s).trans_eq h, fun h => h.symm ▸ rfl⟩
 #align measure_theory.outer_measure.univ_eq_zero_iff MeasureTheory.OuterMeasure.univ_eq_zero_iff
@@ -393,27 +561,57 @@ instance : CompleteLattice (OuterMeasure α) :=
     completeLatticeOfSup (OuterMeasure α) fun ms =>
       ⟨fun m hm s => le_supᵢ₂ m hm, fun m hm s => supᵢ₂_le fun m' hm' => hm hm' s⟩ with }
 
+/- warning: measure_theory.outer_measure.Sup_apply -> MeasureTheory.OuterMeasure.supₛ_apply is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (ms : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (SupSet.supₛ.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ms) s) (supᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasSup.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (MeasureTheory.OuterMeasure.{u1} α) (fun (m : MeasureTheory.OuterMeasure.{u1} α) => supᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasSup.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Membership.Mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.hasMem.{u1} (MeasureTheory.OuterMeasure.{u1} α)) m ms) (fun (H : Membership.Mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.hasMem.{u1} (MeasureTheory.OuterMeasure.{u1} α)) m ms) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m s)))
+but is expected to have type
+  forall {α : Type.{u1}} (ms : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (SupSet.supₛ.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ms) s) (supᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toSupSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (MeasureTheory.OuterMeasure.{u1} α) (fun (m : MeasureTheory.OuterMeasure.{u1} α) => supᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toSupSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Membership.mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.instMembershipSet.{u1} (MeasureTheory.OuterMeasure.{u1} α)) m ms) (fun (H : Membership.mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.instMembershipSet.{u1} (MeasureTheory.OuterMeasure.{u1} α)) m ms) => MeasureTheory.OuterMeasure.measureOf.{u1} α m s)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Sup_apply MeasureTheory.OuterMeasure.supₛ_applyₓ'. -/
 @[simp]
 theorem supₛ_apply (ms : Set (OuterMeasure α)) (s : Set α) :
     (supₛ ms) s = ⨆ m ∈ ms, (m : OuterMeasure α) s :=
   rfl
 #align measure_theory.outer_measure.Sup_apply MeasureTheory.OuterMeasure.supₛ_apply
 
+/- warning: measure_theory.outer_measure.supr_apply -> MeasureTheory.OuterMeasure.supᵢ_apply is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {ι : Sort.{u2}} (f : ι -> (MeasureTheory.OuterMeasure.{u1} α)) (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (supᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => f i)) s) (supᵢ.{0, u2} ENNReal (ConditionallyCompleteLattice.toHasSup.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) ι (fun (i : ι) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (f i) s))
+but is expected to have type
+  forall {α : Type.{u1}} {ι : Sort.{u2}} (f : ι -> (MeasureTheory.OuterMeasure.{u1} α)) (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (supᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => f i)) s) (supᵢ.{0, u2} ENNReal (ConditionallyCompleteLattice.toSupSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) ι (fun (i : ι) => MeasureTheory.OuterMeasure.measureOf.{u1} α (f i) s))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.supr_apply MeasureTheory.OuterMeasure.supᵢ_applyₓ'. -/
 @[simp]
 theorem supᵢ_apply {ι} (f : ι → OuterMeasure α) (s : Set α) : (⨆ i : ι, f i) s = ⨆ i, f i s := by
   rw [supᵢ, supₛ_apply, supᵢ_range, supᵢ]
 #align measure_theory.outer_measure.supr_apply MeasureTheory.OuterMeasure.supᵢ_apply
 
+/- warning: measure_theory.outer_measure.coe_supr -> MeasureTheory.OuterMeasure.coe_supᵢ is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {ι : Sort.{u2}} (f : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((Set.{u1} α) -> ENNReal) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (supᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => f i))) (supᵢ.{u1, u2} ((Set.{u1} α) -> ENNReal) (Pi.supSet.{u1, 0} (Set.{u1} α) (fun (ᾰ : Set.{u1} α) => ENNReal) (fun (i : Set.{u1} α) => ConditionallyCompleteLattice.toHasSup.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder)))) ι (fun (i : ι) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (f i)))
+but is expected to have type
+  forall {α : Type.{u1}} {ι : Sort.{u2}} (f : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.measureOf.{u1} α (supᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => f i))) (supᵢ.{u1, u2} ((Set.{u1} α) -> ENNReal) (Pi.supSet.{u1, 0} (Set.{u1} α) (fun (ᾰ : Set.{u1} α) => ENNReal) (fun (i : Set.{u1} α) => ConditionallyCompleteLattice.toSupSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) ι (fun (i : ι) => MeasureTheory.OuterMeasure.measureOf.{u1} α (f i)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.coe_supr MeasureTheory.OuterMeasure.coe_supᵢₓ'. -/
 @[norm_cast]
 theorem coe_supᵢ {ι} (f : ι → OuterMeasure α) : ⇑(⨆ i, f i) = ⨆ i, f i :=
   funext fun s => by rw [supᵢ_apply, _root_.supr_apply]
 #align measure_theory.outer_measure.coe_supr MeasureTheory.OuterMeasure.coe_supᵢ
 
+/- warning: measure_theory.outer_measure.sup_apply -> MeasureTheory.OuterMeasure.sup_apply is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m₁ : MeasureTheory.OuterMeasure.{u1} α) (m₂ : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (Sup.sup.{u1} (MeasureTheory.OuterMeasure.{u1} α) (SemilatticeSup.toHasSup.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Lattice.toSemilatticeSup.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))))) m₁ m₂) s) (Sup.sup.{0} ENNReal (SemilatticeSup.toHasSup.{0} ENNReal ENNReal.semilatticeSup) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m₁ s) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m₂ s))
+but is expected to have type
+  forall {α : Type.{u1}} (m₁ : MeasureTheory.OuterMeasure.{u1} α) (m₂ : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (Sup.sup.{u1} (MeasureTheory.OuterMeasure.{u1} α) (SemilatticeSup.toSup.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Lattice.toSemilatticeSup.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))))) m₁ m₂) s) (Sup.sup.{0} ENNReal (SemilatticeSup.toSup.{0} ENNReal instENNRealSemilatticeSup) (MeasureTheory.OuterMeasure.measureOf.{u1} α m₁ s) (MeasureTheory.OuterMeasure.measureOf.{u1} α m₂ s))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.sup_apply MeasureTheory.OuterMeasure.sup_applyₓ'. -/
 @[simp]
 theorem sup_apply (m₁ m₂ : OuterMeasure α) (s : Set α) : (m₁ ⊔ m₂) s = m₁ s ⊔ m₂ s := by
   have := supᵢ_apply (fun b => cond b m₁ m₂) s <;> rwa [supᵢ_bool_eq, supᵢ_bool_eq] at this
 #align measure_theory.outer_measure.sup_apply MeasureTheory.OuterMeasure.sup_apply
 
+/- warning: measure_theory.outer_measure.smul_supr -> MeasureTheory.OuterMeasure.smul_supᵢ is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {R : Type.{u2}} [_inst_1 : SMul.{u2, 0} R ENNReal] [_inst_2 : IsScalarTower.{u2, 0, 0} R ENNReal ENNReal _inst_1 (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) _inst_1] {ι : Sort.{u3}} (f : ι -> (MeasureTheory.OuterMeasure.{u1} α)) (c : R), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (SMul.smul.{u2, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.hasSmul.{u1, u2} α R _inst_1 _inst_2) c (supᵢ.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => f i))) (supᵢ.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => SMul.smul.{u2, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.hasSmul.{u1, u2} α R _inst_1 _inst_2) c (f i)))
+but is expected to have type
+  forall {α : Type.{u1}} {R : Type.{u3}} [_inst_1 : SMul.{u3, 0} R ENNReal] [_inst_2 : IsScalarTower.{u3, 0, 0} R ENNReal ENNReal _inst_1 (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) _inst_1] {ι : Sort.{u2}} (f : ι -> (MeasureTheory.OuterMeasure.{u1} α)) (c : R), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (HSMul.hSMul.{u3, u1, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (instHSMul.{u3, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSMul.{u1, u3} α R _inst_1 _inst_2)) c (supᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => f i))) (supᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => HSMul.hSMul.{u3, u1, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (instHSMul.{u3, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSMul.{u1, u3} α R _inst_1 _inst_2)) c (f i)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.smul_supr MeasureTheory.OuterMeasure.smul_supᵢₓ'. -/
 theorem smul_supᵢ [SMul R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞] {ι} (f : ι → OuterMeasure α) (c : R) :
     (c • ⨆ i, f i) = ⨆ i, c • f i :=
   ext fun s => by
@@ -423,12 +621,24 @@ theorem smul_supᵢ [SMul R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞]
 
 end Supremum
 
+/- warning: measure_theory.outer_measure.mono'' -> MeasureTheory.OuterMeasure.mono'' is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {m₁ : MeasureTheory.OuterMeasure.{u1} α} {m₂ : MeasureTheory.OuterMeasure.{u1} α} {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) m₁ m₂) -> (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m₁ s₁) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m₂ s₂))
+but is expected to have type
+  forall {α : Type.{u1}} {m₁ : MeasureTheory.OuterMeasure.{u1} α} {m₂ : MeasureTheory.OuterMeasure.{u1} α} {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) m₁ m₂) -> (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m₁ s₁) (MeasureTheory.OuterMeasure.measureOf.{u1} α m₂ s₂))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.mono'' MeasureTheory.OuterMeasure.mono''ₓ'. -/
 @[mono]
 theorem mono'' {m₁ m₂ : OuterMeasure α} {s₁ s₂ : Set α} (hm : m₁ ≤ m₂) (hs : s₁ ⊆ s₂) :
     m₁ s₁ ≤ m₂ s₂ :=
   (hm s₁).trans (m₂.mono hs)
 #align measure_theory.outer_measure.mono'' MeasureTheory.OuterMeasure.mono''
 
+/- warning: measure_theory.outer_measure.map -> MeasureTheory.OuterMeasure.map is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}}, (α -> β) -> (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2))
+but is expected to have type
+  forall {α : Type.{u1}} {β : Type.{u2}}, (α -> β) -> (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map MeasureTheory.OuterMeasure.mapₓ'. -/
 /-- The pushforward of `m` along `f`. The outer measure on `s` is defined to be `m (f ⁻¹' s)`. -/
 def map {β} (f : α → β) : OuterMeasure α →ₗ[ℝ≥0∞] OuterMeasure β
     where
@@ -437,35 +647,71 @@ def map {β} (f : α → β) : OuterMeasure α →ₗ[ℝ≥0∞] OuterMeasure 
       Empty := m.Empty
       mono := fun s t h => m.mono (preimage_mono h)
       unionᵢ_nat := fun s => by rw [preimage_Union] <;> exact m.Union_nat fun i => f ⁻¹' s i }
-  map_add' m₁ m₂ := coeFn_injective rfl
-  map_smul' c m := coeFn_injective rfl
+  map_add' m₁ m₂ := coe_fn_injective rfl
+  map_smul' c m := coe_fn_injective rfl
 #align measure_theory.outer_measure.map MeasureTheory.OuterMeasure.map
 
+/- warning: measure_theory.outer_measure.map_apply -> MeasureTheory.OuterMeasure.map_apply is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u2} β), Eq.{1} ENNReal (coeFn.{succ u2, succ u2} (MeasureTheory.OuterMeasure.{u2} β) (fun (_x : MeasureTheory.OuterMeasure.{u2} β) => (Set.{u2} β) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) m) s) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.preimage.{u1, u2} α β f s))
+but is expected to have type
+  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u2} β), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u2} β (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) m) s) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Set.preimage.{u1, u2} α β f s))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_apply MeasureTheory.OuterMeasure.map_applyₓ'. -/
 @[simp]
 theorem map_apply {β} (f : α → β) (m : OuterMeasure α) (s : Set β) : map f m s = m (f ⁻¹' s) :=
   rfl
 #align measure_theory.outer_measure.map_apply MeasureTheory.OuterMeasure.map_apply
 
+/- warning: measure_theory.outer_measure.map_id -> MeasureTheory.OuterMeasure.map_id is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u1} α α (id.{succ u1} α)) m) m
+but is expected to have type
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u1} α α (id.{succ u1} α)) m) m
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_id MeasureTheory.OuterMeasure.map_idₓ'. -/
 @[simp]
 theorem map_id (m : OuterMeasure α) : map id m = m :=
   ext fun s => rfl
 #align measure_theory.outer_measure.map_id MeasureTheory.OuterMeasure.map_id
 
+/- warning: measure_theory.outer_measure.map_map -> MeasureTheory.OuterMeasure.map_map is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}} {γ : Type.{u3}} (f : α -> β) (g : β -> γ) (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u3} (MeasureTheory.OuterMeasure.{u3} γ) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{0, 0, u2, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u3} γ) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} γ) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} γ ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u2, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u3} γ) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} γ) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} γ ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u3} γ)) (LinearMap.hasCoeToFun.{0, 0, u2, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u3} γ) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} γ) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} γ ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u2, u3} β γ g) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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(Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} γ) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} γ) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} γ ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal 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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} γ)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} γ) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} γ) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} γ ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α γ (Function.comp.{succ u1, succ u2, succ u3} α β γ g f)) m)
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_map MeasureTheory.OuterMeasure.map_mapₓ'. -/
 @[simp]
 theorem map_map {β γ} (f : α → β) (g : β → γ) (m : OuterMeasure α) :
     map g (map f m) = map (g ∘ f) m :=
   ext fun s => rfl
 #align measure_theory.outer_measure.map_map MeasureTheory.OuterMeasure.map_map
 
+/- warning: measure_theory.outer_measure.map_mono -> MeasureTheory.OuterMeasure.map_mono is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β), Monotone.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α)) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal 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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_mono MeasureTheory.OuterMeasure.map_monoₓ'. -/
 @[mono]
 theorem map_mono {β} (f : α → β) : Monotone (map f) := fun m m' h s => h _
 #align measure_theory.outer_measure.map_mono MeasureTheory.OuterMeasure.map_mono
 
+/- warning: measure_theory.outer_measure.map_sup -> MeasureTheory.OuterMeasure.map_sup is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u1} α) (m' : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u2} (MeasureTheory.OuterMeasure.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) 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(Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (Sup.sup.{u1} (MeasureTheory.OuterMeasure.{u1} α) (SemilatticeSup.toHasSup.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Lattice.toSemilatticeSup.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))))) m m')) (Sup.sup.{u2} (MeasureTheory.OuterMeasure.{u2} β) (SemilatticeSup.toHasSup.{u2} (MeasureTheory.OuterMeasure.{u2} β) (Lattice.toSemilatticeSup.{u2} (MeasureTheory.OuterMeasure.{u2} β) (ConditionallyCompleteLattice.toLattice.{u2} (MeasureTheory.OuterMeasure.{u2} β) 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ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) 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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_sup MeasureTheory.OuterMeasure.map_supₓ'. -/
 @[simp]
 theorem map_sup {β} (f : α → β) (m m' : OuterMeasure α) : map f (m ⊔ m') = map f m ⊔ map f m' :=
   ext fun s => by simp only [map_apply, sup_apply]
 #align measure_theory.outer_measure.map_sup MeasureTheory.OuterMeasure.map_sup
 
+/- warning: measure_theory.outer_measure.map_supr -> MeasureTheory.OuterMeasure.map_supᵢ is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}} {ι : Sort.{u3}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u2} (MeasureTheory.OuterMeasure.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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(MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} 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ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) 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+but is expected to have type
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ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (m i)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_supr MeasureTheory.OuterMeasure.map_supᵢₓ'. -/
 @[simp]
 theorem map_supᵢ {β ι} (f : α → β) (m : ι → OuterMeasure α) : map f (⨆ i, m i) = ⨆ i, map f (m i) :=
   ext fun s => by simp only [map_apply, supᵢ_apply]
@@ -478,6 +724,7 @@ instance : LawfulFunctor OuterMeasure
   id_map α := map_id
   comp_map α β γ f g m := (map_map f g m).symm
 
+#print MeasureTheory.OuterMeasure.dirac /-
 /-- The dirac outer measure. -/
 def dirac (a : α) : OuterMeasure α
     where
@@ -494,12 +741,20 @@ def dirac (a : α) : OuterMeasure α
         
     else by simp only [indicator_of_not_mem hs, zero_le]
 #align measure_theory.outer_measure.dirac MeasureTheory.OuterMeasure.dirac
+-/
 
+/- warning: measure_theory.outer_measure.dirac_apply -> MeasureTheory.OuterMeasure.dirac_apply is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (a : α) (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.dirac.{u1} α a) s) (Set.indicator.{u1, 0} α ENNReal ENNReal.hasZero s (fun (_x : α) => OfNat.ofNat.{0} ENNReal 1 (OfNat.mk.{0} ENNReal 1 (One.one.{0} ENNReal (AddMonoidWithOne.toOne.{0} ENNReal (AddCommMonoidWithOne.toAddMonoidWithOne.{0} ENNReal ENNReal.addCommMonoidWithOne))))) a)
+but is expected to have type
+  forall {α : Type.{u1}} (a : α) (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.dirac.{u1} α a) s) (Set.indicator.{u1, 0} α ENNReal instENNRealZero s (fun (_x : α) => OfNat.ofNat.{0} ENNReal 1 (One.toOfNat1.{0} ENNReal (CanonicallyOrderedCommSemiring.toOne.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) a)
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.dirac_apply MeasureTheory.OuterMeasure.dirac_applyₓ'. -/
 @[simp]
 theorem dirac_apply (a : α) (s : Set α) : dirac a s = indicator s (fun _ => 1) a :=
   rfl
 #align measure_theory.outer_measure.dirac_apply MeasureTheory.OuterMeasure.dirac_apply
 
+#print MeasureTheory.OuterMeasure.sum /-
 /-- The sum of an (arbitrary) collection of outer measures. -/
 def sum {ι} (f : ι → OuterMeasure α) : OuterMeasure α
     where
@@ -509,17 +764,36 @@ def sum {ι} (f : ι → OuterMeasure α) : OuterMeasure α
   unionᵢ_nat s := by
     rw [ENNReal.tsum_comm] <;> exact ENNReal.tsum_le_tsum fun i => (f i).unionᵢ_nat _
 #align measure_theory.outer_measure.sum MeasureTheory.OuterMeasure.sum
+-/
 
+/- warning: measure_theory.outer_measure.sum_apply -> MeasureTheory.OuterMeasure.sum_apply is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {ι : Type.{u2}} (f : ι -> (MeasureTheory.OuterMeasure.{u1} α)) (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.sum.{u1, u2} α ι f) s) (tsum.{0, u2} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace ι (fun (i : ι) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (f i) s))
+but is expected to have type
+  forall {α : Type.{u1}} {ι : Type.{u2}} (f : ι -> (MeasureTheory.OuterMeasure.{u1} α)) (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.sum.{u1, u2} α ι f) s) (tsum.{0, u2} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal ι (fun (i : ι) => MeasureTheory.OuterMeasure.measureOf.{u1} α (f i) s))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.sum_apply MeasureTheory.OuterMeasure.sum_applyₓ'. -/
 @[simp]
 theorem sum_apply {ι} (f : ι → OuterMeasure α) (s : Set α) : sum f s = ∑' i, f i s :=
   rfl
 #align measure_theory.outer_measure.sum_apply MeasureTheory.OuterMeasure.sum_apply
 
+/- warning: measure_theory.outer_measure.smul_dirac_apply -> MeasureTheory.OuterMeasure.smul_dirac_apply is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (a : ENNReal) (b : α) (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (SMul.smul.{0, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.hasSmul.{u1, 0} α ENNReal (SMulZeroClass.toHasSmul.{0, 0} ENNReal ENNReal (AddZeroClass.toHasZero.{0} ENNReal (AddMonoid.toAddZeroClass.{0} ENNReal (AddCommMonoid.toAddMonoid.{0} ENNReal (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (SMulWithZero.toSmulZeroClass.{0, 0} ENNReal ENNReal (MulZeroClass.toHasZero.{0} ENNReal (MulZeroOneClass.toMulZeroClass.{0} ENNReal (MonoidWithZero.toMulZeroOneClass.{0} ENNReal (Semiring.toMonoidWithZero.{0} ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (AddZeroClass.toHasZero.{0} ENNReal (AddMonoid.toAddZeroClass.{0} ENNReal (AddCommMonoid.toAddMonoid.{0} ENNReal (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (MulActionWithZero.toSMulWithZero.{0, 0} ENNReal ENNReal (Semiring.toMonoidWithZero.{0} ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (AddZeroClass.toHasZero.{0} ENNReal (AddMonoid.toAddZeroClass.{0} ENNReal (AddCommMonoid.toAddMonoid.{0} ENNReal (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (Module.toMulActionWithZero.{0, 0} ENNReal ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (Algebra.toModule.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) a (MeasureTheory.OuterMeasure.dirac.{u1} α b)) s) (Set.indicator.{u1, 0} α ENNReal ENNReal.hasZero s (fun (_x : α) => a) b)
+but is expected to have type
+  forall {α : Type.{u1}} (a : ENNReal) (b : α) (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (HSMul.hSMul.{0, u1, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (instHSMul.{0, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSMul.{u1, 0} α ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) a (MeasureTheory.OuterMeasure.dirac.{u1} α b)) s) (Set.indicator.{u1, 0} α ENNReal instENNRealZero s (fun (_x : α) => a) b)
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.smul_dirac_apply MeasureTheory.OuterMeasure.smul_dirac_applyₓ'. -/
 theorem smul_dirac_apply (a : ℝ≥0∞) (b : α) (s : Set α) :
     (a • dirac b) s = indicator s (fun _ => a) b := by
   simp only [smul_apply, smul_eq_mul, dirac_apply, ← indicator_mul_right _ fun _ => a, mul_one]
 #align measure_theory.outer_measure.smul_dirac_apply MeasureTheory.OuterMeasure.smul_dirac_apply
 
+/- warning: measure_theory.outer_measure.comap -> MeasureTheory.OuterMeasure.comap is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}}, (α -> β) -> (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap MeasureTheory.OuterMeasure.comapₓ'. -/
 /-- Pullback of an `outer_measure`: `comap f μ s = μ (f '' s)`. -/
 def comap {β} (f : α → β) : OuterMeasure β →ₗ[ℝ≥0∞] OuterMeasure α
     where
@@ -534,31 +808,67 @@ def comap {β} (f : α → β) : OuterMeasure β →ₗ[ℝ≥0∞] OuterMeasure
   map_smul' c m := rfl
 #align measure_theory.outer_measure.comap MeasureTheory.OuterMeasure.comap
 
+/- warning: measure_theory.outer_measure.comap_apply -> MeasureTheory.OuterMeasure.comap_apply is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_apply MeasureTheory.OuterMeasure.comap_applyₓ'. -/
 @[simp]
 theorem comap_apply {β} (f : α → β) (m : OuterMeasure β) (s : Set α) : comap f m s = m (f '' s) :=
   rfl
 #align measure_theory.outer_measure.comap_apply MeasureTheory.OuterMeasure.comap_apply
 
+/- warning: measure_theory.outer_measure.comap_mono -> MeasureTheory.OuterMeasure.comap_mono is a dubious translation:
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_mono MeasureTheory.OuterMeasure.comap_monoₓ'. -/
 @[mono]
 theorem comap_mono {β} (f : α → β) : Monotone (comap f) := fun m m' h s => h _
 #align measure_theory.outer_measure.comap_mono MeasureTheory.OuterMeasure.comap_mono
 
+/- warning: measure_theory.outer_measure.comap_supr -> MeasureTheory.OuterMeasure.comap_supᵢ is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}} {ι : Sort.{u3}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u2} β)), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} 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MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal 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MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) 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(CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (m i)))
+but is expected to have type
+  forall {α : Type.{u1}} {β : Type.{u3}} {ι : Sort.{u2}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u3} β)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u3} β) => MeasureTheory.OuterMeasure.{u1} α) (supᵢ.{u3, u2} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instSupSet.{u3} β) ι (fun (i : ι) => m i))) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} 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ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u3} α β f) (m i)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_supr MeasureTheory.OuterMeasure.comap_supᵢₓ'. -/
 @[simp]
 theorem comap_supᵢ {β ι} (f : α → β) (m : ι → OuterMeasure β) :
     comap f (⨆ i, m i) = ⨆ i, comap f (m i) :=
   ext fun s => by simp only [comap_apply, supᵢ_apply]
 #align measure_theory.outer_measure.comap_supr MeasureTheory.OuterMeasure.comap_supᵢ
 
+/- warning: measure_theory.outer_measure.restrict -> MeasureTheory.OuterMeasure.restrict is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}}, (Set.{u1} α) -> (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1))
+but is expected to have type
+  forall {α : Type.{u1}}, (Set.{u1} α) -> (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict MeasureTheory.OuterMeasure.restrictₓ'. -/
 /-- Restrict an `outer_measure` to a set. -/
 def restrict (s : Set α) : OuterMeasure α →ₗ[ℝ≥0∞] OuterMeasure α :=
   (map coe).comp (comap (coe : s → α))
 #align measure_theory.outer_measure.restrict MeasureTheory.OuterMeasure.restrict
 
+/- warning: measure_theory.outer_measure.restrict_apply -> MeasureTheory.OuterMeasure.restrict_apply is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (s : Set.{u1} α) (t : Set.{u1} α) (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) t) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t s))
+but is expected to have type
+  forall {α : Type.{u1}} (s : Set.{u1} α) (t : Set.{u1} α) (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) t) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_apply MeasureTheory.OuterMeasure.restrict_applyₓ'. -/
 @[simp]
 theorem restrict_apply (s t : Set α) (m : OuterMeasure α) : restrict s m t = m (t ∩ s) := by
   simp [restrict]
 #align measure_theory.outer_measure.restrict_apply MeasureTheory.OuterMeasure.restrict_apply
 
+/- warning: measure_theory.outer_measure.restrict_mono -> MeasureTheory.OuterMeasure.restrict_mono is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {s : Set.{u1} α} {t : Set.{u1} α}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) -> (forall {m : MeasureTheory.OuterMeasure.{u1} α} {m' : MeasureTheory.OuterMeasure.{u1} α}, (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) m m') -> (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α t) m')))
+but is expected to have type
+  forall {α : Type.{u1}} {s : Set.{u1} α} {t : Set.{u1} α}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) -> (forall {m : MeasureTheory.OuterMeasure.{u1} α} {m' : MeasureTheory.OuterMeasure.{u1} α}, (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) m m') -> (LE.le.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (Preorder.toLE.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (PartialOrder.toPreorder.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α t) m')))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_mono MeasureTheory.OuterMeasure.restrict_monoₓ'. -/
 @[mono]
 theorem restrict_mono {s t : Set α} (h : s ⊆ t) {m m' : OuterMeasure α} (hm : m ≤ m') :
     restrict s m ≤ restrict t m' := fun u =>
@@ -567,73 +877,163 @@ theorem restrict_mono {s t : Set α} (h : s ⊆ t) {m m' : OuterMeasure α} (hm
   exact (hm _).trans (m'.mono <| inter_subset_inter_right _ h)
 #align measure_theory.outer_measure.restrict_mono MeasureTheory.OuterMeasure.restrict_mono
 
+/- warning: measure_theory.outer_measure.restrict_univ -> MeasureTheory.OuterMeasure.restrict_univ is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α (Set.univ.{u1} α)) m) m
+but is expected to have type
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α (Set.univ.{u1} α)) m) m
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_univ MeasureTheory.OuterMeasure.restrict_univₓ'. -/
 @[simp]
 theorem restrict_univ (m : OuterMeasure α) : restrict univ m = m :=
   ext fun s => by simp
 #align measure_theory.outer_measure.restrict_univ MeasureTheory.OuterMeasure.restrict_univ
 
+/- warning: measure_theory.outer_measure.restrict_empty -> MeasureTheory.OuterMeasure.restrict_empty is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) 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(CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) m) (OfNat.ofNat.{u1} (MeasureTheory.OuterMeasure.{u1} α) 0 (OfNat.mk.{u1} (MeasureTheory.OuterMeasure.{u1} α) 0 (Zero.zero.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instZero.{u1} α))))
+but is expected to have type
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) 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(MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) m) (OfNat.ofNat.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) 0 (Zero.toOfNat0.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (MeasureTheory.OuterMeasure.instZero.{u1} α)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_empty MeasureTheory.OuterMeasure.restrict_emptyₓ'. -/
 @[simp]
 theorem restrict_empty (m : OuterMeasure α) : restrict ∅ m = 0 :=
   ext fun s => by simp
 #align measure_theory.outer_measure.restrict_empty MeasureTheory.OuterMeasure.restrict_empty
 
+/- warning: measure_theory.outer_measure.restrict_supr -> MeasureTheory.OuterMeasure.restrict_supᵢ is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {ι : Sort.{u2}} (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (supᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => m i))) (supᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))
+but is expected to have type
+  forall {α : Type.{u1}} {ι : Sort.{u2}} (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (supᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) ι (fun (i : ι) => m i))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal 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(CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} 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(CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_supr MeasureTheory.OuterMeasure.restrict_supᵢₓ'. -/
 @[simp]
 theorem restrict_supᵢ {ι} (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨆ i, m i) = ⨆ i, restrict s (m i) := by simp [restrict]
 #align measure_theory.outer_measure.restrict_supr MeasureTheory.OuterMeasure.restrict_supᵢ
 
+/- warning: measure_theory.outer_measure.map_comap -> MeasureTheory.OuterMeasure.map_comap is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u2} β), Eq.{succ u2} (MeasureTheory.OuterMeasure.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) m)) (coeFn.{succ u2, succ u2} (LinearMap.{0, 0, u2, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u2, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u2, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u2} β (Set.range.{u2, succ u1} β α f)) m)
+but is expected to have type
+  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u2} β), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal 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+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_comap MeasureTheory.OuterMeasure.map_comapₓ'. -/
 theorem map_comap {β} (f : α → β) (m : OuterMeasure β) : map f (comap f m) = restrict (range f) m :=
   ext fun s => congr_arg m <| by simp only [image_preimage_eq_inter_range, Subtype.range_coe]
 #align measure_theory.outer_measure.map_comap MeasureTheory.OuterMeasure.map_comap
 
+/- warning: measure_theory.outer_measure.map_comap_le -> MeasureTheory.OuterMeasure.map_comap_le is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u2} β), LE.le.{u2} (MeasureTheory.OuterMeasure.{u2} β) (Preorder.toLE.{u2} (MeasureTheory.OuterMeasure.{u2} β) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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+but is expected to have type
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(Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} β) (fun (_x : MeasureTheory.OuterMeasure.{u2} β) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u2} β) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) m)) m
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_comap_le MeasureTheory.OuterMeasure.map_comap_leₓ'. -/
 theorem map_comap_le {β} (f : α → β) (m : OuterMeasure β) : map f (comap f m) ≤ m := fun s =>
   m.mono <| image_preimage_subset _ _
 #align measure_theory.outer_measure.map_comap_le MeasureTheory.OuterMeasure.map_comap_le
 
+/- warning: measure_theory.outer_measure.restrict_le_self -> MeasureTheory.OuterMeasure.restrict_le_self is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) m
+but is expected to have type
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), LE.le.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (Preorder.toLE.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (PartialOrder.toPreorder.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) m) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) m) m
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_le_self MeasureTheory.OuterMeasure.restrict_le_selfₓ'. -/
 theorem restrict_le_self (m : OuterMeasure α) (s : Set α) : restrict s m ≤ m :=
   map_comap_le _ _
 #align measure_theory.outer_measure.restrict_le_self MeasureTheory.OuterMeasure.restrict_le_self
 
+/- warning: measure_theory.outer_measure.map_le_restrict_range -> MeasureTheory.OuterMeasure.map_le_restrict_range is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}} {ma : MeasureTheory.OuterMeasure.{u1} α} {mb : MeasureTheory.OuterMeasure.{u2} β} {f : α -> β}, Iff (LE.le.{u2} (MeasureTheory.OuterMeasure.{u2} β) (Preorder.toLE.{u2} (MeasureTheory.OuterMeasure.{u2} β) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) ma) (coeFn.{succ u2, succ u2} (LinearMap.{0, 0, u2, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u2, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u2, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u2} β (Set.range.{u2, succ u1} β α f)) mb)) (LE.le.{u2} (MeasureTheory.OuterMeasure.{u2} β) (Preorder.toLE.{u2} (MeasureTheory.OuterMeasure.{u2} β) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) ma) mb)
+but is expected to have type
+  forall {α : Type.{u1}} {β : Type.{u2}} {ma : MeasureTheory.OuterMeasure.{u1} α} {mb : MeasureTheory.OuterMeasure.{u2} β} {f : α -> β}, Iff (LE.le.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) ma) (Preorder.toLE.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) ma) (PartialOrder.toPreorder.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) ma) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) 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+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_le_restrict_range MeasureTheory.OuterMeasure.map_le_restrict_rangeₓ'. -/
 @[simp]
 theorem map_le_restrict_range {β} {ma : OuterMeasure α} {mb : OuterMeasure β} {f : α → β} :
     map f ma ≤ restrict (range f) mb ↔ map f ma ≤ mb :=
   ⟨fun h => h.trans (restrict_le_self _ _), fun h s => by simpa using h (s ∩ range f)⟩
 #align measure_theory.outer_measure.map_le_restrict_range MeasureTheory.OuterMeasure.map_le_restrict_range
 
+/- warning: measure_theory.outer_measure.map_comap_of_surjective -> MeasureTheory.OuterMeasure.map_comap_of_surjective is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}} {f : α -> β}, (Function.Surjective.{succ u1, succ u2} α β f) -> (forall (m : MeasureTheory.OuterMeasure.{u2} β), Eq.{succ u2} (MeasureTheory.OuterMeasure.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} 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(MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) m)) m)
+but is expected to have type
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(MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal 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+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_comap_of_surjective MeasureTheory.OuterMeasure.map_comap_of_surjectiveₓ'. -/
 theorem map_comap_of_surjective {β} {f : α → β} (hf : Surjective f) (m : OuterMeasure β) :
     map f (comap f m) = m :=
   ext fun s => by rw [map_apply, comap_apply, hf.image_preimage]
 #align measure_theory.outer_measure.map_comap_of_surjective MeasureTheory.OuterMeasure.map_comap_of_surjective
 
+/- warning: measure_theory.outer_measure.le_comap_map -> MeasureTheory.OuterMeasure.le_comap_map is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u1} α), LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) m (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal 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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) m))
+but is expected to have type
+  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β) (m : MeasureTheory.OuterMeasure.{u1} α), LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) m (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal 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(CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) m))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_comap_map MeasureTheory.OuterMeasure.le_comap_mapₓ'. -/
 theorem le_comap_map {β} (f : α → β) (m : OuterMeasure α) : m ≤ comap f (map f m) := fun s =>
   m.mono <| subset_preimage_image _ _
 #align measure_theory.outer_measure.le_comap_map MeasureTheory.OuterMeasure.le_comap_map
 
+/- warning: measure_theory.outer_measure.comap_map -> MeasureTheory.OuterMeasure.comap_map is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}} {f : α -> β}, (Function.Injective.{succ u1, succ u2} α β f) -> (forall (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal 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(CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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+but is expected to have type
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(MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal 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+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_map MeasureTheory.OuterMeasure.comap_mapₓ'. -/
 theorem comap_map {β} {f : α → β} (hf : Injective f) (m : OuterMeasure α) : comap f (map f m) = m :=
   ext fun s => by rw [comap_apply, map_apply, hf.preimage_image]
 #align measure_theory.outer_measure.comap_map MeasureTheory.OuterMeasure.comap_map
 
+/- warning: measure_theory.outer_measure.top_apply -> MeasureTheory.OuterMeasure.top_apply is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {α : Type.{u1}} {s : Set.{u1} α}, (Set.Nonempty.{u1} α s) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toTop.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) s) (Top.top.{0} ENNReal (CompleteLattice.toTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.top_apply MeasureTheory.OuterMeasure.top_applyₓ'. -/
 @[simp]
 theorem top_apply {s : Set α} (h : s.Nonempty) : (⊤ : OuterMeasure α) s = ∞ :=
   let ⟨a, as⟩ := h
   top_unique <| le_trans (by simp [smul_dirac_apply, as]) (le_supᵢ₂ (∞ • dirac a) trivial)
 #align measure_theory.outer_measure.top_apply MeasureTheory.OuterMeasure.top_apply
 
+/- warning: measure_theory.outer_measure.top_apply' -> MeasureTheory.OuterMeasure.top_apply' is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.top_apply' MeasureTheory.OuterMeasure.top_apply'ₓ'. -/
 theorem top_apply' (s : Set α) : (⊤ : OuterMeasure α) s = ⨅ h : s = ∅, 0 :=
   s.eq_empty_or_nonempty.elim (fun h => by simp [h]) fun h => by simp [h, h.ne_empty]
 #align measure_theory.outer_measure.top_apply' MeasureTheory.OuterMeasure.top_apply'
 
+/- warning: measure_theory.outer_measure.comap_top -> MeasureTheory.OuterMeasure.comap_top is a dubious translation:
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(CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} 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=> MeasureTheory.OuterMeasure.{u2} α) (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} β) (CompleteLattice.toTop.{u1} (MeasureTheory.OuterMeasure.{u1} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} β)))) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} α)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_top MeasureTheory.OuterMeasure.comap_topₓ'. -/
 @[simp]
 theorem comap_top (f : α → β) : comap f ⊤ = ⊤ :=
   ext_nonempty fun s hs => by rw [comap_apply, top_apply hs, top_apply (hs.image _)]
 #align measure_theory.outer_measure.comap_top MeasureTheory.OuterMeasure.comap_top
 
+/- warning: measure_theory.outer_measure.map_top -> MeasureTheory.OuterMeasure.map_top is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β), Eq.{succ u2} (MeasureTheory.OuterMeasure.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toHasTop.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α)))) (coeFn.{succ u2, succ u2} (LinearMap.{0, 0, u2, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal 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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u2} β) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u2, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} 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+but is expected to have type
+  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toTop.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal 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(CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} 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+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_top MeasureTheory.OuterMeasure.map_topₓ'. -/
 theorem map_top (f : α → β) : map f ⊤ = restrict (range f) ⊤ :=
   ext fun s => by
     rw [map_apply, restrict_apply, ← image_preimage_eq_inter_range, top_apply', top_apply',
       Set.image_eq_empty]
 #align measure_theory.outer_measure.map_top MeasureTheory.OuterMeasure.map_top
 
+/- warning: measure_theory.outer_measure.map_top_of_surjective -> MeasureTheory.OuterMeasure.map_top_of_surjective is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}} (f : α -> β), (Function.Surjective.{succ u1, succ u2} α β f) -> (Eq.{succ u2} (MeasureTheory.OuterMeasure.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toHasTop.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α)))) (Top.top.{u2} (MeasureTheory.OuterMeasure.{u2} β) (CompleteLattice.toHasTop.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} β))))
+but is expected to have type
+  forall {α : Type.{u2}} {β : Type.{u1}} (f : α -> β), (Function.Surjective.{succ u2, succ u1} α β f) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u2} α) => MeasureTheory.OuterMeasure.{u1} β) (Top.top.{u2} (MeasureTheory.OuterMeasure.{u2} α) (CompleteLattice.toTop.{u2} (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} α)))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{0, 0, u2, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.{u1} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u2} α) (fun (_x : MeasureTheory.OuterMeasure.{u2} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u2} α) => MeasureTheory.OuterMeasure.{u1} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.{u1} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} β) (MeasureTheory.OuterMeasure.instModule.{u2, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u2, u1} α β f) (Top.top.{u2} (MeasureTheory.OuterMeasure.{u2} α) (CompleteLattice.toTop.{u2} (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} α)))) (Top.top.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u2} α) => MeasureTheory.OuterMeasure.{u1} β) (Top.top.{u2} (MeasureTheory.OuterMeasure.{u2} α) (CompleteLattice.toTop.{u2} (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} α)))) (CompleteLattice.toTop.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u2} α) => MeasureTheory.OuterMeasure.{u1} β) (Top.top.{u2} (MeasureTheory.OuterMeasure.{u2} α) (CompleteLattice.toTop.{u2} (MeasureTheory.OuterMeasure.{u2} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u2} α)))) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} β))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_top_of_surjective MeasureTheory.OuterMeasure.map_top_of_surjectiveₓ'. -/
 theorem map_top_of_surjective (f : α → β) (hf : Surjective f) : map f ⊤ = ⊤ := by
   rw [map_top, hf.range_eq, restrict_univ]
 #align measure_theory.outer_measure.map_top_of_surjective MeasureTheory.OuterMeasure.map_top_of_surjective
@@ -649,6 +1049,12 @@ variable {α : Type _} (m : Set α → ℝ≥0∞) (m_empty : m ∅ = 0)
 
 include m_empty
 
+/- warning: measure_theory.outer_measure.of_function -> MeasureTheory.OuterMeasure.ofFunction is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : (Set.{u1} α) -> ENNReal), (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (MeasureTheory.OuterMeasure.{u1} α)
+but is expected to have type
+  forall {α : Type.{u1}} (m : (Set.{u1} α) -> ENNReal), (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (MeasureTheory.OuterMeasure.{u1} α)
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.of_function MeasureTheory.OuterMeasure.ofFunctionₓ'. -/
 /-- Given any function `m` assigning measures to sets satisying `m ∅ = 0`, there is
   a unique maximal outer measure `μ` satisfying `μ s ≤ m s` for all `s : set α`. -/
 protected def ofFunction : OuterMeasure α :=
@@ -685,6 +1091,12 @@ protected def ofFunction : OuterMeasure α :=
                 subset.trans (by simp) <| subset_Union _ <| Nat.pairEquiv (i, j) }
 #align measure_theory.outer_measure.of_function MeasureTheory.OuterMeasure.ofFunction
 
+/- warning: measure_theory.outer_measure.of_function_apply -> MeasureTheory.OuterMeasure.ofFunction_apply is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : (Set.{u1} α) -> ENNReal) (m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (n : Nat) => m (t n)))))
+but is expected to have type
+  forall {α : Type.{u1}} (m : (Set.{u1} α) -> ENNReal) (m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (n : Nat) => m (t n)))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.of_function_apply MeasureTheory.OuterMeasure.ofFunction_applyₓ'. -/
 theorem ofFunction_apply (s : Set α) :
     OuterMeasure.ofFunction m m_empty s = ⨅ (t : ℕ → Set α) (h : s ⊆ unionᵢ t), ∑' n, m (t n) :=
   rfl
@@ -692,6 +1104,12 @@ theorem ofFunction_apply (s : Set α) :
 
 variable {m m_empty}
 
+/- warning: measure_theory.outer_measure.of_function_le -> MeasureTheory.OuterMeasure.ofFunction_le is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) s) (m s)
+but is expected to have type
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) s) (m s)
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.of_function_le MeasureTheory.OuterMeasure.ofFunction_leₓ'. -/
 theorem ofFunction_le (s : Set α) : OuterMeasure.ofFunction m m_empty s ≤ m s :=
   let f : ℕ → Set α := fun i => Nat.casesOn i s fun _ => ∅
   infᵢ_le_of_le f <|
@@ -699,6 +1117,12 @@ theorem ofFunction_le (s : Set α) : OuterMeasure.ofFunction m m_empty s ≤ m s
       le_of_eq <| tsum_eq_single 0 <| by rintro (_ | i) <;> simp [f, m_empty]
 #align measure_theory.outer_measure.of_function_le MeasureTheory.OuterMeasure.ofFunction_le
 
+/- warning: measure_theory.outer_measure.of_function_eq -> MeasureTheory.OuterMeasure.ofFunction_eq is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (s : Set.{u1} α), (forall {{t : Set.{u1} α}}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s) (m t))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (s i)))) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) s) (m s))
+but is expected to have type
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (s : Set.{u1} α), (forall {{t : Set.{u1} α}}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s) (m t))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (s i)))) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) s) (m s))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.of_function_eq MeasureTheory.OuterMeasure.ofFunction_eqₓ'. -/
 theorem ofFunction_eq (s : Set α) (m_mono : ∀ ⦃t : Set α⦄, s ⊆ t → m s ≤ m t)
     (m_subadd : ∀ s : ℕ → Set α, m (⋃ i, s i) ≤ ∑' i, m (s i)) :
     OuterMeasure.ofFunction m m_empty s = m s :=
@@ -706,6 +1130,12 @@ theorem ofFunction_eq (s : Set α) (m_mono : ∀ ⦃t : Set α⦄, s ⊆ t → m
     le_infᵢ fun f => le_infᵢ fun hf => le_trans (m_mono hf) (m_subadd f)
 #align measure_theory.outer_measure.of_function_eq MeasureTheory.OuterMeasure.ofFunction_eq
 
+/- warning: measure_theory.outer_measure.le_of_function -> MeasureTheory.OuterMeasure.le_ofFunction is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} {μ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) μ (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (forall (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ s) (m s))
+but is expected to have type
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} {μ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) μ (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (forall (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α μ s) (m s))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_of_function MeasureTheory.OuterMeasure.le_ofFunctionₓ'. -/
 theorem le_ofFunction {μ : OuterMeasure α} :
     μ ≤ OuterMeasure.ofFunction m m_empty ↔ ∀ s, μ s ≤ m s :=
   ⟨fun H s => le_trans (H s) (ofFunction_le s), fun H s =>
@@ -714,15 +1144,33 @@ theorem le_ofFunction {μ : OuterMeasure α} :
         le_trans (μ.mono hs) <| le_trans (μ.unionᵢ f) <| ENNReal.tsum_le_tsum fun i => H _⟩
 #align measure_theory.outer_measure.le_of_function MeasureTheory.OuterMeasure.le_ofFunction
 
+/- warning: measure_theory.outer_measure.is_greatest_of_function -> MeasureTheory.OuterMeasure.isGreatest_ofFunction is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))}, IsGreatest.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α)) (setOf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => forall (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ s) (m s))) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)
+but is expected to have type
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))}, IsGreatest.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α)) (setOf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => forall (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α μ s) (m s))) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.is_greatest_of_function MeasureTheory.OuterMeasure.isGreatest_ofFunctionₓ'. -/
 theorem isGreatest_ofFunction :
     IsGreatest { μ : OuterMeasure α | ∀ s, μ s ≤ m s } (OuterMeasure.ofFunction m m_empty) :=
   ⟨fun s => ofFunction_le _, fun μ => le_ofFunction.2⟩
 #align measure_theory.outer_measure.is_greatest_of_function MeasureTheory.OuterMeasure.isGreatest_ofFunction
 
+/- warning: measure_theory.outer_measure.of_function_eq_Sup -> MeasureTheory.OuterMeasure.ofFunction_eq_supₛ is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))}, Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) (SupSet.supₛ.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) (setOf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => forall (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ s) (m s))))
+but is expected to have type
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))}, Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) (SupSet.supₛ.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSupSet.{u1} α) (setOf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => forall (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α μ s) (m s))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.of_function_eq_Sup MeasureTheory.OuterMeasure.ofFunction_eq_supₛₓ'. -/
 theorem ofFunction_eq_supₛ : OuterMeasure.ofFunction m m_empty = supₛ { μ | ∀ s, μ s ≤ m s } :=
   (@isGreatest_ofFunction α m m_empty).IsLUB.supₛ_eq.symm
 #align measure_theory.outer_measure.of_function_eq_Sup MeasureTheory.OuterMeasure.ofFunction_eq_supₛ
 
+/- warning: measure_theory.outer_measure.of_function_union_of_top_of_nonempty_inter -> MeasureTheory.OuterMeasure.ofFunction_union_of_top_of_nonempty_inter is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} {s : Set.{u1} α} {t : Set.{u1} α}, (forall (u : Set.{u1} α), (Set.Nonempty.{u1} α (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) s u)) -> (Set.Nonempty.{u1} α (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t u)) -> (Eq.{1} ENNReal (m u) (Top.top.{0} ENNReal (CompleteLattice.toHasTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) (Union.union.{u1} (Set.{u1} α) (Set.hasUnion.{u1} α) s t)) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) s) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) t)))
+but is expected to have type
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} {s : Set.{u1} α} {t : Set.{u1} α}, (forall (u : Set.{u1} α), (Set.Nonempty.{u1} α (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) s u)) -> (Set.Nonempty.{u1} α (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t u)) -> (Eq.{1} ENNReal (m u) (Top.top.{0} ENNReal (CompleteLattice.toTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) (Union.union.{u1} (Set.{u1} α) (Set.instUnionSet.{u1} α) s t)) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) s) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) t)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.of_function_union_of_top_of_nonempty_inter MeasureTheory.OuterMeasure.ofFunction_union_of_top_of_nonempty_interₓ'. -/
 /- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (u «expr ⊆ » «expr ∪ »(s, t)) -/
 /-- If `m u = ∞` for any set `u` that has nonempty intersection both with `s` and `t`, then
 `μ (s ∪ t) = μ s + μ t`, where `μ = measure_theory.outer_measure.of_function m m_empty`.
@@ -767,6 +1215,12 @@ theorem ofFunction_union_of_top_of_nonempty_inter {s t : Set α}
     
 #align measure_theory.outer_measure.of_function_union_of_top_of_nonempty_inter MeasureTheory.OuterMeasure.ofFunction_union_of_top_of_nonempty_inter
 
+/- warning: measure_theory.outer_measure.comap_of_function -> MeasureTheory.OuterMeasure.comap_ofFunction is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} {β : Type.{u2}} (f : β -> α), (Or (Monotone.{u1, 0} (Set.{u1} α) ENNReal (PartialOrder.toPreorder.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α))))))) (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder)))) m) (Function.Surjective.{succ u2, succ u1} β α f)) -> (Eq.{succ u2} 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(OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u2, u1} β α f) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u2} β (fun (s : Set.{u2} β) => m (Set.image.{u2, u1} β α f s)) (Eq.mpr.{0} (Eq.{1} ENNReal (m (Set.image.{u2, u1} β α f (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.hasEmptyc.{u2} β)))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (id_tag Tactic.IdTag.rw (Eq.{1} Prop (Eq.{1} ENNReal (m (Set.image.{u2, u1} β α f (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.hasEmptyc.{u2} β)))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))) (Eq.ndrec.{0, succ u1} (Set.{u1} α) (Set.image.{u2, u1} β α f (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.hasEmptyc.{u2} β))) (fun (_a : Set.{u1} α) => Eq.{1} Prop (Eq.{1} ENNReal (m (Set.image.{u2, u1} β α f (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.hasEmptyc.{u2} β)))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (Eq.{1} ENNReal (m _a) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))) (rfl.{1} Prop (Eq.{1} ENNReal (m (Set.image.{u2, u1} β α f (EmptyCollection.emptyCollection.{u2} (Set.{u2} β) (Set.hasEmptyc.{u2} β)))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) (Set.image_empty.{u2, u1} β α f))) m_empty)))
+but is expected to have type
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} {β : Type.{u2}} (f : β -> α), (Or (Monotone.{u1, 0} (Set.{u1} α) ENNReal (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) m) (Function.Surjective.{succ u2, succ u1} β α f)) -> (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal 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(Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) 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(MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal 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(Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (congrArg.{1, 1} ENNReal (ENNReal -> Prop) (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (Eq.{1} ENNReal) m_empty) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (eq_self.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))))))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_of_function MeasureTheory.OuterMeasure.comap_ofFunctionₓ'. -/
 theorem comap_ofFunction {β} (f : β → α) (h : Monotone m ∨ Surjective f) :
     comap f (OuterMeasure.ofFunction m m_empty) =
       OuterMeasure.ofFunction (fun s => m (f '' s)) (by rwa [Set.image_empty]) :=
@@ -783,6 +1237,12 @@ theorem comap_ofFunction {β} (f : β → α) (h : Monotone m ∨ Surjective f)
     exacts[h (image_preimage_subset _ _), (congr_arg m (h.image_preimage (t n))).le]
 #align measure_theory.outer_measure.comap_of_function MeasureTheory.OuterMeasure.comap_ofFunction
 
+/- warning: measure_theory.outer_measure.map_of_function_le -> MeasureTheory.OuterMeasure.map_ofFunction_le is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} {β : Type.{u2}} (f : α -> β), LE.le.{u2} (MeasureTheory.OuterMeasure.{u2} β) (Preorder.toLE.{u2} (MeasureTheory.OuterMeasure.{u2} β) (PartialOrder.toPreorder.{u2} (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u2} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u2} β (fun (s : Set.{u2} β) => m (Set.preimage.{u1, u2} α β f s)) m_empty)
+but is expected to have type
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} {β : Type.{u2}} (f : α -> β), LE.le.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (Preorder.toLE.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (PartialOrder.toPreorder.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.instPartialOrder.{u2} β))) (FunLike.coe.{max (succ u1) (succ u2), succ 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(MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u2} β (fun (s : Set.{u2} β) => m (Set.preimage.{u1, u2} α β f s)) m_empty)
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_of_function_le MeasureTheory.OuterMeasure.map_ofFunction_leₓ'. -/
 theorem map_ofFunction_le {β} (f : α → β) :
     map f (OuterMeasure.ofFunction m m_empty) ≤
       OuterMeasure.ofFunction (fun s => m (f ⁻¹' s)) m_empty :=
@@ -791,6 +1251,12 @@ theorem map_ofFunction_le {β} (f : α → β) :
     apply of_function_le
 #align measure_theory.outer_measure.map_of_function_le MeasureTheory.OuterMeasure.map_ofFunction_le
 
+/- warning: measure_theory.outer_measure.map_of_function -> MeasureTheory.OuterMeasure.map_ofFunction is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} {β : Type.{u2}} {f : α -> β}, (Function.Injective.{succ u1, succ u2} α β f) -> (Eq.{succ u2} (MeasureTheory.OuterMeasure.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal 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ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u2} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u2} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u2} β (fun (s : Set.{u2} β) => m (Set.preimage.{u1, u2} α β f s)) m_empty))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_of_function MeasureTheory.OuterMeasure.map_ofFunctionₓ'. -/
 theorem map_ofFunction {β} {f : α → β} (hf : Injective f) :
     map f (OuterMeasure.ofFunction m m_empty) =
       OuterMeasure.ofFunction (fun s => m (f ⁻¹' s)) m_empty :=
@@ -805,6 +1271,12 @@ theorem map_ofFunction {β} {f : α → β} (hf : Injective f) :
     simp [hf.preimage_image]
 #align measure_theory.outer_measure.map_of_function MeasureTheory.OuterMeasure.map_ofFunction
 
+/- warning: measure_theory.outer_measure.restrict_of_function -> MeasureTheory.OuterMeasure.restrict_ofFunction is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (s : Set.{u1} α), (Monotone.{u1, 0} (Set.{u1} α) ENNReal (PartialOrder.toPreorder.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α))))))) (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder)))) m) -> (Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u1} α (fun (t : Set.{u1} α) => m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t s)) (Eq.mpr.{0} (Eq.{1} ENNReal (m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) s)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (id_tag Tactic.IdTag.rw (Eq.{1} Prop (Eq.{1} ENNReal (m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) s)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))) (Eq.ndrec.{0, succ u1} (Set.{u1} α) (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) s) (fun (_a : Set.{u1} α) => Eq.{1} Prop (Eq.{1} ENNReal (m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) s)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (Eq.{1} ENNReal (m _a) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))) (rfl.{1} Prop (Eq.{1} ENNReal (m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) s)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) (Set.empty_inter.{u1} α s))) m_empty)))
+but is expected to have type
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (s : Set.{u1} α), (Monotone.{u1, 0} (Set.{u1} α) ENNReal (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) m) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u1} α (fun (t : Set.{u1} α) => m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (Eq.mpr.{0} (Eq.{1} ENNReal ((fun (t : Set.{u1} α) => m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (id.{0} (Eq.{1} Prop (Eq.{1} ENNReal ((fun (t : Set.{u1} α) => m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))) (congrFun.{1, 1} ENNReal (fun (a._@.Init.Prelude._hyg.170 : ENNReal) => Prop) (Eq.{1} ENNReal (m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) s))) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (congrArg.{1, 1} ENNReal (ENNReal -> Prop) (m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) s)) (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (Eq.{1} ENNReal) (congrArg.{succ u1, 1} (Set.{u1} α) ENNReal (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) s) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) m (Set.empty_inter.{u1} α s))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))) (of_eq_true (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.trans.{1} Prop (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) True (congrFun.{1, 1} ENNReal (fun (a._@.Init.Prelude._hyg.170 : ENNReal) => Prop) (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (congrArg.{1, 1} ENNReal (ENNReal -> Prop) (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (Eq.{1} ENNReal) m_empty) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (eq_self.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))))))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_of_function MeasureTheory.OuterMeasure.restrict_ofFunctionₓ'. -/
 theorem restrict_ofFunction (s : Set α) (hm : Monotone m) :
     restrict s (OuterMeasure.ofFunction m m_empty) =
       OuterMeasure.ofFunction (fun t => m (t ∩ s)) (by rwa [Set.empty_inter]) :=
@@ -813,6 +1285,12 @@ theorem restrict_ofFunction (s : Set α) (hm : Monotone m) :
     map_of_function Subtype.coe_injective, Subtype.image_preimage_coe]
 #align measure_theory.outer_measure.restrict_of_function MeasureTheory.OuterMeasure.restrict_ofFunction
 
+/- warning: measure_theory.outer_measure.smul_of_function -> MeasureTheory.OuterMeasure.smul_ofFunction is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} {c : ENNReal}, (Ne.{1} ENNReal c (Top.top.{0} ENNReal (CompleteLattice.toHasTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder)))) -> (Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (SMul.smul.{0, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.hasSmul.{u1, 0} α ENNReal (SMulZeroClass.toHasSmul.{0, 0} ENNReal ENNReal (AddZeroClass.toHasZero.{0} ENNReal (AddMonoid.toAddZeroClass.{0} ENNReal (AddCommMonoid.toAddMonoid.{0} ENNReal (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (SMulWithZero.toSmulZeroClass.{0, 0} ENNReal ENNReal (MulZeroClass.toHasZero.{0} ENNReal (MulZeroOneClass.toMulZeroClass.{0} ENNReal (MonoidWithZero.toMulZeroOneClass.{0} ENNReal (Semiring.toMonoidWithZero.{0} ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (AddZeroClass.toHasZero.{0} ENNReal (AddMonoid.toAddZeroClass.{0} ENNReal (AddCommMonoid.toAddMonoid.{0} ENNReal (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (MulActionWithZero.toSMulWithZero.{0, 0} ENNReal ENNReal (Semiring.toMonoidWithZero.{0} ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (AddZeroClass.toHasZero.{0} ENNReal (AddMonoid.toAddZeroClass.{0} ENNReal (AddCommMonoid.toAddMonoid.{0} ENNReal (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (Module.toMulActionWithZero.{0, 0} ENNReal ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (Algebra.toModule.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) c (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u1} α (SMul.smul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Function.hasSMul.{u1, 0, 0} (Set.{u1} α) ENNReal ENNReal (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) c m) (Eq.mpr.{0} (Eq.{1} ENNReal (SMul.smul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Function.hasSMul.{u1, 0, 0} (Set.{u1} α) ENNReal ENNReal (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) c m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) True (id_tag Tactic.IdTag.simp (Eq.{1} Prop (Eq.{1} ENNReal (SMul.smul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Function.hasSMul.{u1, 0, 0} (Set.{u1} α) ENNReal ENNReal (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) c m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) True) (Eq.trans.{1} Prop (Eq.{1} ENNReal (SMul.smul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Function.hasSMul.{u1, 0, 0} (Set.{u1} α) ENNReal ENNReal (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) c m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) True ((fun (a : ENNReal) (a_1 : ENNReal) (e_1 : Eq.{1} ENNReal a a_1) (ᾰ : ENNReal) (ᾰ_1 : ENNReal) (e_2 : Eq.{1} ENNReal ᾰ ᾰ_1) => congr.{1, 1} ENNReal Prop (Eq.{1} ENNReal a) (Eq.{1} ENNReal a_1) ᾰ ᾰ_1 (congr_arg.{1, 1} ENNReal (ENNReal -> Prop) a a_1 (Eq.{1} ENNReal) e_1) e_2) (SMul.smul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Function.hasSMul.{u1, 0, 0} (Set.{u1} α) ENNReal ENNReal (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) c m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))) (Eq.trans.{1} ((fun (i : Set.{u1} α) => ENNReal) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (SMul.smul.{0, u1} ENNReal (forall (i : Set.{u1} α), (fun (i : Set.{u1} α) => ENNReal) i) (Pi.instSMul.{u1, 0, 0} (Set.{u1} α) ENNReal (fun (i : Set.{u1} α) => (fun (i : Set.{u1} α) => ENNReal) i) (fun (i : Set.{u1} α) => (fun (i : Set.{u1} α) => Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) i)) c m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (HMul.hMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))) c (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal (MulZeroClass.toHasZero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))))) (Eq.trans.{1} ((fun (i : Set.{u1} α) => ENNReal) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (SMul.smul.{0, u1} ENNReal (forall (i : Set.{u1} α), (fun (i : Set.{u1} α) => ENNReal) i) (Pi.instSMul.{u1, 0, 0} (Set.{u1} α) ENNReal (fun (i : Set.{u1} α) => (fun (i : Set.{u1} α) => ENNReal) i) (fun (i : Set.{u1} α) => (fun (i : Set.{u1} α) => Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) i)) c m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (SMul.smul.{0, 0} ENNReal ENNReal (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) c (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (HMul.hMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))) c (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (Eq.trans.{1} ((fun (i : Set.{u1} α) => ENNReal) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (SMul.smul.{0, u1} ENNReal (forall (i : Set.{u1} α), (fun (i : Set.{u1} α) => ENNReal) i) (Pi.instSMul.{u1, 0, 0} (Set.{u1} α) ENNReal (fun (i : Set.{u1} α) => (fun (i : Set.{u1} α) => ENNReal) i) (fun (i : Set.{u1} α) => (fun (i : Set.{u1} α) => Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) i)) c m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (SMul.smul.{0, 0} ENNReal ((fun (i : Set.{u1} α) => ENNReal) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) ((fun (i : Set.{u1} α) => Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) c (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)))) (SMul.smul.{0, 0} ENNReal ENNReal (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) c (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (Pi.smul_apply.{u1, 0, 0} (Set.{u1} α) ENNReal (fun (i : Set.{u1} α) => ENNReal) (fun (i : Set.{u1} α) => Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) c m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) ((fun [self : SMul.{0, 0} ENNReal ENNReal] (ᾰ : ENNReal) (ᾰ_1 : ENNReal) (e_2 : Eq.{1} ENNReal ᾰ ᾰ_1) (ᾰ_2 : ENNReal) (ᾰ_3 : ENNReal) (e_3 : Eq.{1} ENNReal ᾰ_2 ᾰ_3) => congr.{1, 1} ENNReal ENNReal (SMul.smul.{0, 0} ENNReal ENNReal self ᾰ) (SMul.smul.{0, 0} ENNReal ENNReal self ᾰ_1) ᾰ_2 ᾰ_3 (congr_arg.{1, 1} ENNReal (ENNReal -> ENNReal) ᾰ ᾰ_1 (SMul.smul.{0, 0} ENNReal ENNReal self) e_2) e_3) (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) c c (rfl.{1} ENNReal c) (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))) m_empty)) (Algebra.id.smul_eq_mul.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring) c (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))) (MulZeroClass.mul_zero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) c)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))) (rfl.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))) (propext (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) True (eq_self_iff_true.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))))) trivial)))
+but is expected to have type
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} {c : ENNReal}, (Ne.{1} ENNReal c (Top.top.{0} ENNReal (CompleteLattice.toTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) -> (Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (HSMul.hSMul.{0, u1, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (instHSMul.{0, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSMul.{u1, 0} α ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) c (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty)) (MeasureTheory.OuterMeasure.ofFunction.{u1} α (HSMul.hSMul.{0, u1, u1} ENNReal ((Set.{u1} α) -> ENNReal) ((Set.{u1} α) -> ENNReal) (instHSMul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Pi.instSMul.{u1, 0, 0} (Set.{u1} α) ENNReal (fun (a._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.11627 : Set.{u1} α) => ENNReal) (fun (i : Set.{u1} α) => Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) c m) (of_eq_true (Eq.{1} ENNReal (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.trans.{1} Prop (Eq.{1} ENNReal (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal (MulZeroClass.toZero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))))))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) True (congrFun.{1, 1} ENNReal (fun (a._@.Init.Prelude._hyg.170 : ENNReal) => Prop) (Eq.{1} ENNReal (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))))) (Eq.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal (MulZeroClass.toZero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))))) (congrArg.{1, 1} ENNReal (ENNReal -> Prop) (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal (MulZeroClass.toZero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal 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ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal (MulZeroClass.toZero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))))))) (congrArg.{1, 1} ENNReal ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)) (HSMul.hSMul.{0, 0, 0} ENNReal ENNReal ENNReal (instHSMul.{0, 0} ENNReal ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) c) m_empty) (MulZeroClass.mul_zero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) c))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (eq_self.{1} ENNReal (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal (MulZeroClass.toZero.{0} ENNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))))))))))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.smul_of_function MeasureTheory.OuterMeasure.smul_ofFunctionₓ'. -/
 theorem smul_ofFunction {c : ℝ≥0∞} (hc : c ≠ ∞) :
     c • OuterMeasure.ofFunction m m_empty = OuterMeasure.ofFunction (c • m) (by simp [m_empty]) :=
   by
@@ -828,19 +1306,33 @@ section BoundedBy
 
 variable {α : Type _} (m : Set α → ℝ≥0∞)
 
+#print MeasureTheory.OuterMeasure.boundedBy /-
 /-- Given any function `m` assigning measures to sets, there is a unique maximal outer measure `μ`
   satisfying `μ s ≤ m s` for all `s : set α`. This is the same as `outer_measure.of_function`,
   except that it doesn't require `m ∅ = 0`. -/
 def boundedBy : OuterMeasure α :=
   OuterMeasure.ofFunction (fun s => ⨆ h : s.Nonempty, m s) (by simp [not_nonempty_empty])
 #align measure_theory.outer_measure.bounded_by MeasureTheory.OuterMeasure.boundedBy
+-/
 
 variable {m}
 
+/- warning: measure_theory.outer_measure.bounded_by_le -> MeasureTheory.OuterMeasure.boundedBy_le is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.boundedBy.{u1} α m) s) (m s)
+but is expected to have type
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.boundedBy.{u1} α m) s) (m s)
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.bounded_by_le MeasureTheory.OuterMeasure.boundedBy_leₓ'. -/
 theorem boundedBy_le (s : Set α) : boundedBy m s ≤ m s :=
   (ofFunction_le _).trans supᵢ_const_le
 #align measure_theory.outer_measure.bounded_by_le MeasureTheory.OuterMeasure.boundedBy_le
 
+/- warning: measure_theory.outer_measure.bounded_by_eq_of_function -> MeasureTheory.OuterMeasure.boundedBy_eq_ofFunction is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} (m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.boundedBy.{u1} α m) s) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) s)
+but is expected to have type
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} (m_empty : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.boundedBy.{u1} α m) s) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.ofFunction.{u1} α m m_empty) s)
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.bounded_by_eq_of_function MeasureTheory.OuterMeasure.boundedBy_eq_ofFunctionₓ'. -/
 theorem boundedBy_eq_ofFunction (m_empty : m ∅ = 0) (s : Set α) :
     boundedBy m s = OuterMeasure.ofFunction m m_empty s :=
   by
@@ -851,27 +1343,53 @@ theorem boundedBy_eq_ofFunction (m_empty : m ∅ = 0) (s : Set α) :
   simp [bounded_by, this]
 #align measure_theory.outer_measure.bounded_by_eq_of_function MeasureTheory.OuterMeasure.boundedBy_eq_ofFunction
 
+/- warning: measure_theory.outer_measure.bounded_by_apply -> MeasureTheory.OuterMeasure.boundedBy_apply is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.boundedBy.{u1} α m) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (n : Nat) => supᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasSup.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Set.Nonempty.{u1} α (t n)) (fun (h : Set.Nonempty.{u1} α (t n)) => m (t n))))))
+but is expected to have type
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.boundedBy.{u1} α m) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (n : Nat) => supᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toSupSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Set.Nonempty.{u1} α (t n)) (fun (h : Set.Nonempty.{u1} α (t n)) => m (t n))))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.bounded_by_apply MeasureTheory.OuterMeasure.boundedBy_applyₓ'. -/
 theorem boundedBy_apply (s : Set α) :
     boundedBy m s = ⨅ (t : ℕ → Set α) (h : s ⊆ unionᵢ t), ∑' n, ⨆ h : (t n).Nonempty, m (t n) := by
   simp [bounded_by, of_function_apply]
 #align measure_theory.outer_measure.bounded_by_apply MeasureTheory.OuterMeasure.boundedBy_apply
 
+/- warning: measure_theory.outer_measure.bounded_by_eq -> MeasureTheory.OuterMeasure.boundedBy_eq is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} (s : Set.{u1} α), (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (forall {{t : Set.{u1} α}}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s) (m t))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (s i)))) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.boundedBy.{u1} α m) s) (m s))
+but is expected to have type
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} (s : Set.{u1} α), (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (forall {{t : Set.{u1} α}}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s) (m t))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (s i)))) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.boundedBy.{u1} α m) s) (m s))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.bounded_by_eq MeasureTheory.OuterMeasure.boundedBy_eqₓ'. -/
 theorem boundedBy_eq (s : Set α) (m_empty : m ∅ = 0) (m_mono : ∀ ⦃t : Set α⦄, s ⊆ t → m s ≤ m t)
     (m_subadd : ∀ s : ℕ → Set α, m (⋃ i, s i) ≤ ∑' i, m (s i)) : boundedBy m s = m s := by
   rw [bounded_by_eq_of_function m_empty, of_function_eq s m_mono m_subadd]
 #align measure_theory.outer_measure.bounded_by_eq MeasureTheory.OuterMeasure.boundedBy_eq
 
+#print MeasureTheory.OuterMeasure.boundedBy_eq_self /-
 @[simp]
 theorem boundedBy_eq_self (m : OuterMeasure α) : boundedBy m = m :=
   ext fun s => boundedBy_eq _ m.empty' (fun t ht => m.mono' ht) m.unionᵢ
 #align measure_theory.outer_measure.bounded_by_eq_self MeasureTheory.OuterMeasure.boundedBy_eq_self
+-/
 
+/- warning: measure_theory.outer_measure.le_bounded_by -> MeasureTheory.OuterMeasure.le_boundedBy is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {μ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) μ (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (forall (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ s) (m s))
+but is expected to have type
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {μ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) μ (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (forall (s : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α μ s) (m s))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_bounded_by MeasureTheory.OuterMeasure.le_boundedByₓ'. -/
 theorem le_boundedBy {μ : OuterMeasure α} : μ ≤ boundedBy m ↔ ∀ s, μ s ≤ m s :=
   by
   rw [bounded_by, le_of_function, forall_congr']; intro s
   cases' s.eq_empty_or_nonempty with h h <;> simp [h, not_nonempty_empty]
 #align measure_theory.outer_measure.le_bounded_by MeasureTheory.OuterMeasure.le_boundedBy
 
+/- warning: measure_theory.outer_measure.le_bounded_by' -> MeasureTheory.OuterMeasure.le_bounded_by' is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {μ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) μ (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (forall (s : Set.{u1} α), (Set.Nonempty.{u1} α s) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ s) (m s)))
+but is expected to have type
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {μ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) μ (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (forall (s : Set.{u1} α), (Set.Nonempty.{u1} α s) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α μ s) (m s)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_bounded_by' MeasureTheory.OuterMeasure.le_bounded_by'ₓ'. -/
 theorem le_bounded_by' {μ : OuterMeasure α} :
     μ ≤ boundedBy m ↔ ∀ s : Set α, s.Nonempty → μ s ≤ m s :=
   by
@@ -880,6 +1398,12 @@ theorem le_bounded_by' {μ : OuterMeasure α} :
   cases' s.eq_empty_or_nonempty with h h <;> simp [h]
 #align measure_theory.outer_measure.le_bounded_by' MeasureTheory.OuterMeasure.le_bounded_by'
 
+/- warning: measure_theory.outer_measure.smul_bounded_by -> MeasureTheory.OuterMeasure.smul_boundedBy is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {c : ENNReal}, (Ne.{1} ENNReal c (Top.top.{0} ENNReal (CompleteLattice.toHasTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder)))) -> (Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (SMul.smul.{0, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.hasSmul.{u1, 0} α ENNReal (SMulZeroClass.toHasSmul.{0, 0} ENNReal ENNReal (AddZeroClass.toHasZero.{0} ENNReal (AddMonoid.toAddZeroClass.{0} ENNReal (AddCommMonoid.toAddMonoid.{0} ENNReal (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (SMulWithZero.toSmulZeroClass.{0, 0} ENNReal ENNReal (MulZeroClass.toHasZero.{0} ENNReal (MulZeroOneClass.toMulZeroClass.{0} ENNReal (MonoidWithZero.toMulZeroOneClass.{0} ENNReal (Semiring.toMonoidWithZero.{0} ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (AddZeroClass.toHasZero.{0} ENNReal (AddMonoid.toAddZeroClass.{0} ENNReal (AddCommMonoid.toAddMonoid.{0} ENNReal (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (MulActionWithZero.toSMulWithZero.{0, 0} ENNReal ENNReal (Semiring.toMonoidWithZero.{0} ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (AddZeroClass.toHasZero.{0} ENNReal (AddMonoid.toAddZeroClass.{0} ENNReal (AddCommMonoid.toAddMonoid.{0} ENNReal (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (Module.toMulActionWithZero.{0, 0} ENNReal ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (Algebra.toModule.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) c (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (MeasureTheory.OuterMeasure.boundedBy.{u1} α (SMul.smul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Function.hasSMul.{u1, 0, 0} (Set.{u1} α) ENNReal ENNReal (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) c m)))
+but is expected to have type
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {c : ENNReal}, (Ne.{1} ENNReal c (Top.top.{0} ENNReal (CompleteLattice.toTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) -> (Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (HSMul.hSMul.{0, u1, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (instHSMul.{0, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSMul.{u1, 0} α ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) c (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (MeasureTheory.OuterMeasure.boundedBy.{u1} α (HSMul.hSMul.{0, u1, u1} ENNReal ((Set.{u1} α) -> ENNReal) ((Set.{u1} α) -> ENNReal) (instHSMul.{0, u1} ENNReal ((Set.{u1} α) -> ENNReal) (Pi.instSMul.{u1, 0, 0} (Set.{u1} α) ENNReal (fun (a._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.12446 : Set.{u1} α) => ENNReal) (fun (i : Set.{u1} α) => Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) c m)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.smul_bounded_by MeasureTheory.OuterMeasure.smul_boundedByₓ'. -/
 theorem smul_boundedBy {c : ℝ≥0∞} (hc : c ≠ ∞) : c • boundedBy m = boundedBy (c • m) :=
   by
   simp only [bounded_by, smul_of_function hc]
@@ -887,6 +1411,12 @@ theorem smul_boundedBy {c : ℝ≥0∞} (hc : c ≠ ∞) : c • boundedBy m = b
   rcases s.eq_empty_or_nonempty with (rfl | hs) <;> simp [*]
 #align measure_theory.outer_measure.smul_bounded_by MeasureTheory.OuterMeasure.smul_boundedBy
 
+/- warning: measure_theory.outer_measure.comap_bounded_by -> MeasureTheory.OuterMeasure.comap_boundedBy is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u2} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u2, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u2, u1} β α f) (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) (MeasureTheory.OuterMeasure.boundedBy.{u2} β (fun (s : Set.{u2} β) => m (Set.image.{u2, u1} β α f s))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_bounded_by MeasureTheory.OuterMeasure.comap_boundedByₓ'. -/
 theorem comap_boundedBy {β} (f : β → α)
     (h : (Monotone fun s : { s : Set α // s.Nonempty } => m s) ∨ Surjective f) :
     comap f (boundedBy m) = boundedBy fun s => m (f '' s) :=
@@ -900,6 +1430,12 @@ theorem comap_boundedBy {β} (f : β → α)
     rw [nonempty_image_iff]
 #align measure_theory.outer_measure.comap_bounded_by MeasureTheory.OuterMeasure.comap_boundedBy
 
+/- warning: measure_theory.outer_measure.bounded_by_union_of_top_of_nonempty_inter -> MeasureTheory.OuterMeasure.boundedBy_union_of_top_of_nonempty_inter is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {s : Set.{u1} α} {t : Set.{u1} α}, (forall (u : Set.{u1} α), (Set.Nonempty.{u1} α (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) s u)) -> (Set.Nonempty.{u1} α (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t u)) -> (Eq.{1} ENNReal (m u) (Top.top.{0} ENNReal (CompleteLattice.toHasTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.boundedBy.{u1} α m) (Union.union.{u1} (Set.{u1} α) (Set.hasUnion.{u1} α) s t)) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.boundedBy.{u1} α m) s) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.boundedBy.{u1} α m) t)))
+but is expected to have type
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {s : Set.{u1} α} {t : Set.{u1} α}, (forall (u : Set.{u1} α), (Set.Nonempty.{u1} α (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) s u)) -> (Set.Nonempty.{u1} α (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t u)) -> (Eq.{1} ENNReal (m u) (Top.top.{0} ENNReal (CompleteLattice.toTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.boundedBy.{u1} α m) (Union.union.{u1} (Set.{u1} α) (Set.instUnionSet.{u1} α) s t)) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.boundedBy.{u1} α m) s) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.boundedBy.{u1} α m) t)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.bounded_by_union_of_top_of_nonempty_inter MeasureTheory.OuterMeasure.boundedBy_union_of_top_of_nonempty_interₓ'. -/
 /-- If `m u = ∞` for any set `u` that has nonempty intersection both with `s` and `t`, then
 `μ (s ∪ t) = μ s + μ t`, where `μ = measure_theory.outer_measure.bounded_by m`.
 
@@ -927,29 +1463,57 @@ attribute [local simp] Set.inter_comm Set.inter_left_comm Set.inter_assoc
 
 variable {s s₁ s₂ : Set α}
 
+#print MeasureTheory.OuterMeasure.IsCaratheodory /-
 /-- A set `s` is Carathéodory-measurable for an outer measure `m` if for all sets `t` we have
   `m t = m (t ∩ s) + m (t \ s)`. -/
 def IsCaratheodory (s : Set α) : Prop :=
   ∀ t, m t = m (t ∩ s) + m (t \ s)
 #align measure_theory.outer_measure.is_caratheodory MeasureTheory.OuterMeasure.IsCaratheodory
+-/
 
+/- warning: measure_theory.outer_measure.is_caratheodory_iff_le' -> MeasureTheory.OuterMeasure.isCaratheodory_iff_le' is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Set.{u1} α}, Iff (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m s) (forall (t : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t s)) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (SDiff.sdiff.{u1} (Set.{u1} α) (BooleanAlgebra.toHasSdiff.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)) t s))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m t))
+but is expected to have type
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Set.{u1} α}, Iff (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m s) (forall (t : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (SDiff.sdiff.{u1} (Set.{u1} α) (Set.instSDiffSet.{u1} α) t s))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m t))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.is_caratheodory_iff_le' MeasureTheory.OuterMeasure.isCaratheodory_iff_le'ₓ'. -/
 theorem isCaratheodory_iff_le' {s : Set α} : is_caratheodory s ↔ ∀ t, m (t ∩ s) + m (t \ s) ≤ m t :=
   forall_congr' fun t => le_antisymm_iff.trans <| and_iff_right <| le_inter_add_diff _
 #align measure_theory.outer_measure.is_caratheodory_iff_le' MeasureTheory.OuterMeasure.isCaratheodory_iff_le'
 
+#print MeasureTheory.OuterMeasure.isCaratheodory_empty /-
 @[simp]
 theorem isCaratheodory_empty : is_caratheodory ∅ := by simp [is_caratheodory, m.empty, diff_empty]
 #align measure_theory.outer_measure.is_caratheodory_empty MeasureTheory.OuterMeasure.isCaratheodory_empty
+-/
 
+/- warning: measure_theory.outer_measure.is_caratheodory_compl -> MeasureTheory.OuterMeasure.isCaratheodory_compl is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s₁ : Set.{u1} α}, (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m s₁) -> (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (HasCompl.compl.{u1} (Set.{u1} α) (BooleanAlgebra.toHasCompl.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)) s₁))
+but is expected to have type
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s₁ : Set.{u1} α}, (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m s₁) -> (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (HasCompl.compl.{u1} (Set.{u1} α) (BooleanAlgebra.toHasCompl.{u1} (Set.{u1} α) (Set.instBooleanAlgebraSet.{u1} α)) s₁))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.is_caratheodory_compl MeasureTheory.OuterMeasure.isCaratheodory_complₓ'. -/
 theorem isCaratheodory_compl : is_caratheodory s₁ → is_caratheodory (s₁ᶜ) := by
   simp [is_caratheodory, diff_eq, add_comm]
 #align measure_theory.outer_measure.is_caratheodory_compl MeasureTheory.OuterMeasure.isCaratheodory_compl
 
+/- warning: measure_theory.outer_measure.is_caratheodory_compl_iff -> MeasureTheory.OuterMeasure.isCaratheodory_compl_iff is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Set.{u1} α}, Iff (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (HasCompl.compl.{u1} (Set.{u1} α) (BooleanAlgebra.toHasCompl.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)) s)) (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m s)
+but is expected to have type
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Set.{u1} α}, Iff (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (HasCompl.compl.{u1} (Set.{u1} α) (BooleanAlgebra.toHasCompl.{u1} (Set.{u1} α) (Set.instBooleanAlgebraSet.{u1} α)) s)) (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m s)
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.is_caratheodory_compl_iff MeasureTheory.OuterMeasure.isCaratheodory_compl_iffₓ'. -/
 @[simp]
 theorem isCaratheodory_compl_iff : is_caratheodory (sᶜ) ↔ is_caratheodory s :=
   ⟨fun h => by simpa using is_caratheodory_compl m h, is_caratheodory_compl⟩
 #align measure_theory.outer_measure.is_caratheodory_compl_iff MeasureTheory.OuterMeasure.isCaratheodory_compl_iff
 
+/- warning: measure_theory.outer_measure.is_caratheodory_union -> MeasureTheory.OuterMeasure.isCaratheodory_union is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m s₁) -> (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m s₂) -> (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (Union.union.{u1} (Set.{u1} α) (Set.hasUnion.{u1} α) s₁ s₂))
+but is expected to have type
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m s₁) -> (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m s₂) -> (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (Union.union.{u1} (Set.{u1} α) (Set.instUnionSet.{u1} α) s₁ s₂))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.is_caratheodory_union MeasureTheory.OuterMeasure.isCaratheodory_unionₓ'. -/
 theorem isCaratheodory_union (h₁ : is_caratheodory s₁) (h₂ : is_caratheodory s₂) :
     is_caratheodory (s₁ ∪ s₂) := fun t =>
   by
@@ -959,11 +1523,18 @@ theorem isCaratheodory_union (h₁ : is_caratheodory s₁) (h₂ : is_caratheodo
   simp [diff_eq, add_assoc]
 #align measure_theory.outer_measure.is_caratheodory_union MeasureTheory.OuterMeasure.isCaratheodory_union
 
+/- warning: measure_theory.outer_measure.measure_inter_union -> MeasureTheory.OuterMeasure.measure_inter_union is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) s₁ s₂) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) -> (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m s₁) -> (forall {t : Set.{u1} α}, Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t (Union.union.{u1} (Set.{u1} α) (Set.hasUnion.{u1} α) s₁ s₂))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t s₁)) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t s₂))))
+but is expected to have type
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) s₁ s₂) (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) -> (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m s₁) -> (forall {t : Set.{u1} α}, Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t (Union.union.{u1} (Set.{u1} α) (Set.instUnionSet.{u1} α) s₁ s₂))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s₁)) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s₂))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.measure_inter_union MeasureTheory.OuterMeasure.measure_inter_unionₓ'. -/
 theorem measure_inter_union (h : s₁ ∩ s₂ ⊆ ∅) (h₁ : is_caratheodory s₁) {t : Set α} :
     m (t ∩ (s₁ ∪ s₂)) = m (t ∩ s₁) + m (t ∩ s₂) := by
   rw [h₁, Set.inter_assoc, Set.union_inter_cancel_left, inter_diff_assoc, union_diff_cancel_left h]
 #align measure_theory.outer_measure.measure_inter_union MeasureTheory.OuterMeasure.measure_inter_union
 
+#print MeasureTheory.OuterMeasure.isCaratheodory_unionᵢ_lt /-
 theorem isCaratheodory_unionᵢ_lt {s : ℕ → Set α} :
     ∀ {n : ℕ}, (∀ i < n, is_caratheodory (s i)) → is_caratheodory (⋃ i < n, s i)
   | 0, h => by simp [Nat.not_lt_zero]
@@ -974,7 +1545,14 @@ theorem isCaratheodory_unionᵢ_lt {s : ℕ → Set α} :
           (is_caratheodory_Union_lt fun i hi => h i <| lt_of_lt_of_le hi <| Nat.le_succ _)
           (h n (le_refl (n + 1)))
 #align measure_theory.outer_measure.is_caratheodory_Union_lt MeasureTheory.OuterMeasure.isCaratheodory_unionᵢ_lt
+-/
 
+/- warning: measure_theory.outer_measure.is_caratheodory_inter -> MeasureTheory.OuterMeasure.isCaratheodory_inter is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m s₁) -> (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m s₂) -> (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) s₁ s₂))
+but is expected to have type
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m s₁) -> (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m s₂) -> (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) s₁ s₂))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.is_caratheodory_inter MeasureTheory.OuterMeasure.isCaratheodory_interₓ'. -/
 theorem isCaratheodory_inter (h₁ : is_caratheodory s₁) (h₂ : is_caratheodory s₂) :
     is_caratheodory (s₁ ∩ s₂) :=
   by
@@ -982,6 +1560,12 @@ theorem isCaratheodory_inter (h₁ : is_caratheodory s₁) (h₂ : is_caratheodo
   exact is_caratheodory_union _ (is_caratheodory_compl _ h₁) (is_caratheodory_compl _ h₂)
 #align measure_theory.outer_measure.is_caratheodory_inter MeasureTheory.OuterMeasure.isCaratheodory_inter
 
+/- warning: measure_theory.outer_measure.is_caratheodory_sum -> MeasureTheory.OuterMeasure.isCaratheodory_sum is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Nat -> (Set.{u1} α)}, (forall (i : Nat), MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (s i)) -> (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) s)) -> (forall {t : Set.{u1} α} {n : Nat}, Eq.{1} ENNReal (Finset.sum.{0, 0} ENNReal Nat (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) (Finset.range n) (fun (i : Nat) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t (s i)))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => Set.unionᵢ.{u1, 0} α (LT.lt.{0} Nat Nat.hasLt i n) (fun (H : LT.lt.{0} Nat Nat.hasLt i n) => s i))))))
+but is expected to have type
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Nat -> (Set.{u1} α)}, (forall (i : Nat), MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (s i)) -> (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) s)) -> (forall {t : Set.{u1} α} {n : Nat}, Eq.{1} ENNReal (Finset.sum.{0, 0} ENNReal Nat (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) (Finset.range n) (fun (i : Nat) => MeasureTheory.OuterMeasure.measureOf.{u1} α m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t (s i)))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => Set.unionᵢ.{u1, 0} α (LT.lt.{0} Nat instLTNat i n) (fun (H : LT.lt.{0} Nat instLTNat i n) => s i))))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.is_caratheodory_sum MeasureTheory.OuterMeasure.isCaratheodory_sumₓ'. -/
 theorem isCaratheodory_sum {s : ℕ → Set α} (h : ∀ i, is_caratheodory (s i))
     (hd : Pairwise (Disjoint on s)) {t : Set α} :
     ∀ {n}, (∑ i in Finset.range n, m (t ∩ s i)) = m (t ∩ ⋃ i < n, s i)
@@ -994,6 +1578,12 @@ theorem isCaratheodory_sum {s : ℕ → Set α} (h : ∀ i, is_caratheodory (s i
     simpa using fun (h₁ : a ∈ s n) i (hi : i < n) h₂ => (hd (ne_of_gt hi)).le_bot ⟨h₁, h₂⟩
 #align measure_theory.outer_measure.is_caratheodory_sum MeasureTheory.OuterMeasure.isCaratheodory_sum
 
+/- warning: measure_theory.outer_measure.is_caratheodory_Union_nat -> MeasureTheory.OuterMeasure.isCaratheodory_unionᵢ_nat is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Nat -> (Set.{u1} α)}, (forall (i : Nat), MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (s i)) -> (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) s)) -> (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => s i)))
+but is expected to have type
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Nat -> (Set.{u1} α)}, (forall (i : Nat), MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (s i)) -> (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) s)) -> (MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => s i)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.is_caratheodory_Union_nat MeasureTheory.OuterMeasure.isCaratheodory_unionᵢ_natₓ'. -/
 theorem isCaratheodory_unionᵢ_nat {s : ℕ → Set α} (h : ∀ i, is_caratheodory (s i))
     (hd : Pairwise (Disjoint on s)) : is_caratheodory (⋃ i, s i) :=
   is_caratheodory_iff_le'.2 fun t =>
@@ -1012,6 +1602,12 @@ theorem isCaratheodory_unionᵢ_nat {s : ℕ → Set α} (h : ∀ i, is_caratheo
     exact Union₂_subset fun i _ => subset_Union _ i
 #align measure_theory.outer_measure.is_caratheodory_Union_nat MeasureTheory.OuterMeasure.isCaratheodory_unionᵢ_nat
 
+/- warning: measure_theory.outer_measure.f_Union -> MeasureTheory.OuterMeasure.f_unionᵢ is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Nat -> (Set.{u1} α)}, (forall (i : Nat), MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (s i)) -> (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) s)) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s i))))
+but is expected to have type
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Nat -> (Set.{u1} α)}, (forall (i : Nat), MeasureTheory.OuterMeasure.IsCaratheodory.{u1} α m (s i)) -> (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) s)) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => MeasureTheory.OuterMeasure.measureOf.{u1} α m (s i))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.f_Union MeasureTheory.OuterMeasure.f_unionᵢₓ'. -/
 theorem f_unionᵢ {s : ℕ → Set α} (h : ∀ i, is_caratheodory (s i)) (hd : Pairwise (Disjoint on s)) :
     m (⋃ i, s i) = ∑' i, m (s i) :=
   by
@@ -1023,6 +1619,7 @@ theorem f_unionᵢ {s : ℕ → Set α} (h : ∀ i, is_caratheodory (s i)) (hd :
   exact m.mono (Union₂_subset fun i _ => subset_Union _ i)
 #align measure_theory.outer_measure.f_Union MeasureTheory.OuterMeasure.f_unionᵢ
 
+#print MeasureTheory.OuterMeasure.caratheodoryDynkin /-
 /-- The Carathéodory-measurable sets for an outer measure `m` form a Dynkin system.  -/
 def caratheodoryDynkin : MeasurableSpace.DynkinSystem α
     where
@@ -1031,23 +1628,44 @@ def caratheodoryDynkin : MeasurableSpace.DynkinSystem α
   HasCompl s := is_caratheodory_compl
   has_unionᵢ_nat f hf hn := is_caratheodory_Union_nat hn hf
 #align measure_theory.outer_measure.caratheodory_dynkin MeasureTheory.OuterMeasure.caratheodoryDynkin
+-/
 
+#print MeasureTheory.OuterMeasure.caratheodory /-
 /-- Given an outer measure `μ`, the Carathéodory-measurable space is
   defined such that `s` is measurable if `∀t, μ t = μ (t ∩ s) + μ (t \ s)`. -/
 protected def caratheodory : MeasurableSpace α :=
   caratheodory_dynkin.toMeasurableSpace fun s₁ s₂ => is_caratheodory_inter
 #align measure_theory.outer_measure.caratheodory MeasureTheory.OuterMeasure.caratheodory
+-/
 
-theorem is_caratheodory_iff {s : Set α} :
+/- warning: measure_theory.outer_measure.is_caratheodory_iff -> MeasureTheory.OuterMeasure.isCaratheodory_iff is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Set.{u1} α}, Iff (MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α m) s) (forall (t : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m t) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t s)) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (SDiff.sdiff.{u1} (Set.{u1} α) (BooleanAlgebra.toHasSdiff.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)) t s))))
+but is expected to have type
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Set.{u1} α}, Iff (MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α m) s) (forall (t : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m t) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (SDiff.sdiff.{u1} (Set.{u1} α) (Set.instSDiffSet.{u1} α) t s))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.is_caratheodory_iff MeasureTheory.OuterMeasure.isCaratheodory_iffₓ'. -/
+theorem isCaratheodory_iff {s : Set α} :
     measurable_set[caratheodory] s ↔ ∀ t, m t = m (t ∩ s) + m (t \ s) :=
   Iff.rfl
-#align measure_theory.outer_measure.is_caratheodory_iff MeasureTheory.OuterMeasure.is_caratheodory_iff
-
-theorem is_caratheodory_iff_le {s : Set α} :
+#align measure_theory.outer_measure.is_caratheodory_iff MeasureTheory.OuterMeasure.isCaratheodory_iff
+
+/- warning: measure_theory.outer_measure.is_caratheodory_iff_le -> MeasureTheory.OuterMeasure.isCaratheodory_iff_le is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Set.{u1} α}, Iff (MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α m) s) (forall (t : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t s)) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (SDiff.sdiff.{u1} (Set.{u1} α) (BooleanAlgebra.toHasSdiff.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)) t s))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m t))
+but is expected to have type
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Set.{u1} α}, Iff (MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α m) s) (forall (t : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (MeasureTheory.OuterMeasure.measureOf.{u1} α m (SDiff.sdiff.{u1} (Set.{u1} α) (Set.instSDiffSet.{u1} α) t s))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m t))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.is_caratheodory_iff_le MeasureTheory.OuterMeasure.isCaratheodory_iff_leₓ'. -/
+theorem isCaratheodory_iff_le {s : Set α} :
     measurable_set[caratheodory] s ↔ ∀ t, m (t ∩ s) + m (t \ s) ≤ m t :=
   is_caratheodory_iff_le'
-#align measure_theory.outer_measure.is_caratheodory_iff_le MeasureTheory.OuterMeasure.is_caratheodory_iff_le
-
+#align measure_theory.outer_measure.is_caratheodory_iff_le MeasureTheory.OuterMeasure.isCaratheodory_iff_le
+
+/- warning: measure_theory.outer_measure.Union_eq_of_caratheodory -> MeasureTheory.OuterMeasure.unionᵢ_eq_of_caratheodory is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Nat -> (Set.{u1} α)}, (forall (i : Nat), MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α m) (s i)) -> (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) s)) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m (s i))))
+but is expected to have type
+  forall {α : Type.{u1}} (m : MeasureTheory.OuterMeasure.{u1} α) {s : Nat -> (Set.{u1} α)}, (forall (i : Nat), MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α m) (s i)) -> (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) s)) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => MeasureTheory.OuterMeasure.measureOf.{u1} α m (s i))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Union_eq_of_caratheodory MeasureTheory.OuterMeasure.unionᵢ_eq_of_caratheodoryₓ'. -/
 protected theorem unionᵢ_eq_of_caratheodory {s : ℕ → Set α}
     (h : ∀ i, measurable_set[caratheodory] (s i)) (hd : Pairwise (Disjoint on s)) :
     m (⋃ i, s i) = ∑' i, m (s i) :=
@@ -1058,6 +1676,12 @@ end CaratheodoryMeasurable
 
 variable {α : Type _}
 
+/- warning: measure_theory.outer_measure.of_function_caratheodory -> MeasureTheory.OuterMeasure.ofFunction_caratheodory is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {s : Set.{u1} α} {h₀ : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))}, (forall (t : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t s)) (m (SDiff.sdiff.{u1} (Set.{u1} α) (BooleanAlgebra.toHasSdiff.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)) t s))) (m t)) -> (MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α (MeasureTheory.OuterMeasure.ofFunction.{u1} α m h₀)) s)
+but is expected to have type
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {s : Set.{u1} α} {h₀ : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))}, (forall (t : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (m (SDiff.sdiff.{u1} (Set.{u1} α) (Set.instSDiffSet.{u1} α) t s))) (m t)) -> (MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α (MeasureTheory.OuterMeasure.ofFunction.{u1} α m h₀)) s)
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.of_function_caratheodory MeasureTheory.OuterMeasure.ofFunction_caratheodoryₓ'. -/
 theorem ofFunction_caratheodory {m : Set α → ℝ≥0∞} {s : Set α} {h₀ : m ∅ = 0}
     (hs : ∀ t, m (t ∩ s) + m (t \ s) ≤ m t) :
     measurable_set[(OuterMeasure.ofFunction m h₀).caratheodory] s :=
@@ -1077,6 +1701,12 @@ theorem ofFunction_caratheodory {m : Set α → ℝ≥0∞} {s : Set α} {h₀ :
     exact ENNReal.tsum_le_tsum fun i => hs _
 #align measure_theory.outer_measure.of_function_caratheodory MeasureTheory.OuterMeasure.ofFunction_caratheodory
 
+/- warning: measure_theory.outer_measure.bounded_by_caratheodory -> MeasureTheory.OuterMeasure.boundedBy_caratheodory is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {s : Set.{u1} α}, (forall (t : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (m (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t s)) (m (SDiff.sdiff.{u1} (Set.{u1} α) (BooleanAlgebra.toHasSdiff.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)) t s))) (m t)) -> (MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) s)
+but is expected to have type
+  forall {α : Type.{u1}} {m : (Set.{u1} α) -> ENNReal} {s : Set.{u1} α}, (forall (t : Set.{u1} α), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (m (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (m (SDiff.sdiff.{u1} (Set.{u1} α) (Set.instSDiffSet.{u1} α) t s))) (m t)) -> (MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α (MeasureTheory.OuterMeasure.boundedBy.{u1} α m)) s)
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.bounded_by_caratheodory MeasureTheory.OuterMeasure.boundedBy_caratheodoryₓ'. -/
 theorem boundedBy_caratheodory {m : Set α → ℝ≥0∞} {s : Set α}
     (hs : ∀ t, m (t ∩ s) + m (t \ s) ≤ m t) : measurable_set[(boundedBy m).caratheodory] s :=
   by
@@ -1088,32 +1718,68 @@ theorem boundedBy_caratheodory {m : Set α → ℝ≥0∞} {s : Set α}
     exact add_le_add supᵢ_const_le supᵢ_const_le
 #align measure_theory.outer_measure.bounded_by_caratheodory MeasureTheory.OuterMeasure.boundedBy_caratheodory
 
+/- warning: measure_theory.outer_measure.zero_caratheodory -> MeasureTheory.OuterMeasure.zero_caratheodory is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}}, Eq.{succ u1} (MeasurableSpace.{u1} α) (MeasureTheory.OuterMeasure.caratheodory.{u1} α (OfNat.ofNat.{u1} (MeasureTheory.OuterMeasure.{u1} α) 0 (OfNat.mk.{u1} (MeasureTheory.OuterMeasure.{u1} α) 0 (Zero.zero.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instZero.{u1} α))))) (Top.top.{u1} (MeasurableSpace.{u1} α) (CompleteLattice.toHasTop.{u1} (MeasurableSpace.{u1} α) (MeasurableSpace.completeLattice.{u1} α)))
+but is expected to have type
+  forall {α : Type.{u1}}, Eq.{succ u1} (MeasurableSpace.{u1} α) (MeasureTheory.OuterMeasure.caratheodory.{u1} α (OfNat.ofNat.{u1} (MeasureTheory.OuterMeasure.{u1} α) 0 (Zero.toOfNat0.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instZero.{u1} α)))) (Top.top.{u1} (MeasurableSpace.{u1} α) (CompleteLattice.toTop.{u1} (MeasurableSpace.{u1} α) (MeasurableSpace.instCompleteLatticeMeasurableSpace.{u1} α)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.zero_caratheodory MeasureTheory.OuterMeasure.zero_caratheodoryₓ'. -/
 @[simp]
 theorem zero_caratheodory : (0 : OuterMeasure α).caratheodory = ⊤ :=
   top_unique fun s _ t => (add_zero _).symm
 #align measure_theory.outer_measure.zero_caratheodory MeasureTheory.OuterMeasure.zero_caratheodory
 
+/- warning: measure_theory.outer_measure.top_caratheodory -> MeasureTheory.OuterMeasure.top_caratheodory is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}}, Eq.{succ u1} (MeasurableSpace.{u1} α) (MeasureTheory.OuterMeasure.caratheodory.{u1} α (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toHasTop.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α)))) (Top.top.{u1} (MeasurableSpace.{u1} α) (CompleteLattice.toHasTop.{u1} (MeasurableSpace.{u1} α) (MeasurableSpace.completeLattice.{u1} α)))
+but is expected to have type
+  forall {α : Type.{u1}}, Eq.{succ u1} (MeasurableSpace.{u1} α) (MeasureTheory.OuterMeasure.caratheodory.{u1} α (Top.top.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toTop.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α)))) (Top.top.{u1} (MeasurableSpace.{u1} α) (CompleteLattice.toTop.{u1} (MeasurableSpace.{u1} α) (MeasurableSpace.instCompleteLatticeMeasurableSpace.{u1} α)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.top_caratheodory MeasureTheory.OuterMeasure.top_caratheodoryₓ'. -/
 theorem top_caratheodory : (⊤ : OuterMeasure α).caratheodory = ⊤ :=
   top_unique fun s hs =>
-    (is_caratheodory_iff_le _).2 fun t =>
+    (isCaratheodory_iff_le _).2 fun t =>
       t.eq_empty_or_nonempty.elim (fun ht => by simp [ht]) fun ht => by
         simp only [ht, top_apply, le_top]
 #align measure_theory.outer_measure.top_caratheodory MeasureTheory.OuterMeasure.top_caratheodory
 
+/- warning: measure_theory.outer_measure.le_add_caratheodory -> MeasureTheory.OuterMeasure.le_add_caratheodory is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m₁ : MeasureTheory.OuterMeasure.{u1} α) (m₂ : MeasureTheory.OuterMeasure.{u1} α), LE.le.{u1} (MeasurableSpace.{u1} α) (MeasurableSpace.hasLe.{u1} α) (Inf.inf.{u1} (MeasurableSpace.{u1} α) (SemilatticeInf.toHasInf.{u1} (MeasurableSpace.{u1} α) (Lattice.toSemilatticeInf.{u1} (MeasurableSpace.{u1} α) (ConditionallyCompleteLattice.toLattice.{u1} (MeasurableSpace.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasurableSpace.{u1} α) (MeasurableSpace.completeLattice.{u1} α))))) (MeasureTheory.OuterMeasure.caratheodory.{u1} α m₁) (MeasureTheory.OuterMeasure.caratheodory.{u1} α m₂)) (MeasureTheory.OuterMeasure.caratheodory.{u1} α (HAdd.hAdd.{u1, u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (instHAdd.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instAdd.{u1} α)) m₁ m₂))
+but is expected to have type
+  forall {α : Type.{u1}} (m₁ : MeasureTheory.OuterMeasure.{u1} α) (m₂ : MeasureTheory.OuterMeasure.{u1} α), LE.le.{u1} (MeasurableSpace.{u1} α) (MeasurableSpace.instLEMeasurableSpace.{u1} α) (Inf.inf.{u1} (MeasurableSpace.{u1} α) (Lattice.toInf.{u1} (MeasurableSpace.{u1} α) (ConditionallyCompleteLattice.toLattice.{u1} (MeasurableSpace.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasurableSpace.{u1} α) (MeasurableSpace.instCompleteLatticeMeasurableSpace.{u1} α)))) (MeasureTheory.OuterMeasure.caratheodory.{u1} α m₁) (MeasureTheory.OuterMeasure.caratheodory.{u1} α m₂)) (MeasureTheory.OuterMeasure.caratheodory.{u1} α (HAdd.hAdd.{u1, u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (instHAdd.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instAdd.{u1} α)) m₁ m₂))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_add_caratheodory MeasureTheory.OuterMeasure.le_add_caratheodoryₓ'. -/
 theorem le_add_caratheodory (m₁ m₂ : OuterMeasure α) :
     m₁.caratheodory ⊓ m₂.caratheodory ≤ (m₁ + m₂ : OuterMeasure α).caratheodory :=
   fun s ⟨hs₁, hs₂⟩ t => by simp [hs₁ t, hs₂ t, add_left_comm, add_assoc]
 #align measure_theory.outer_measure.le_add_caratheodory MeasureTheory.OuterMeasure.le_add_caratheodory
 
+/- warning: measure_theory.outer_measure.le_sum_caratheodory -> MeasureTheory.OuterMeasure.le_sum_caratheodory is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {ι : Type.{u2}} (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), LE.le.{u1} (MeasurableSpace.{u1} α) (MeasurableSpace.hasLe.{u1} α) (infᵢ.{u1, succ u2} (MeasurableSpace.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasurableSpace.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasurableSpace.{u1} α) (MeasurableSpace.completeLattice.{u1} α))) ι (fun (i : ι) => MeasureTheory.OuterMeasure.caratheodory.{u1} α (m i))) (MeasureTheory.OuterMeasure.caratheodory.{u1} α (MeasureTheory.OuterMeasure.sum.{u1, u2} α ι m))
+but is expected to have type
+  forall {α : Type.{u1}} {ι : Type.{u2}} (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), LE.le.{u1} (MeasurableSpace.{u1} α) (MeasurableSpace.instLEMeasurableSpace.{u1} α) (infᵢ.{u1, succ u2} (MeasurableSpace.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasurableSpace.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasurableSpace.{u1} α) (MeasurableSpace.instCompleteLatticeMeasurableSpace.{u1} α))) ι (fun (i : ι) => MeasureTheory.OuterMeasure.caratheodory.{u1} α (m i))) (MeasureTheory.OuterMeasure.caratheodory.{u1} α (MeasureTheory.OuterMeasure.sum.{u1, u2} α ι m))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_sum_caratheodory MeasureTheory.OuterMeasure.le_sum_caratheodoryₓ'. -/
 theorem le_sum_caratheodory {ι} (m : ι → OuterMeasure α) :
     (⨅ i, (m i).caratheodory) ≤ (sum m).caratheodory := fun s h t => by
   simp [fun i => MeasurableSpace.measurableSet_infᵢ.1 h i t, ENNReal.tsum_add]
 #align measure_theory.outer_measure.le_sum_caratheodory MeasureTheory.OuterMeasure.le_sum_caratheodory
 
+/- warning: measure_theory.outer_measure.le_smul_caratheodory -> MeasureTheory.OuterMeasure.le_smul_caratheodory is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (a : ENNReal) (m : MeasureTheory.OuterMeasure.{u1} α), LE.le.{u1} (MeasurableSpace.{u1} α) (MeasurableSpace.hasLe.{u1} α) (MeasureTheory.OuterMeasure.caratheodory.{u1} α m) (MeasureTheory.OuterMeasure.caratheodory.{u1} α (SMul.smul.{0, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.hasSmul.{u1, 0} α ENNReal (SMulZeroClass.toHasSmul.{0, 0} ENNReal ENNReal (AddZeroClass.toHasZero.{0} ENNReal (AddMonoid.toAddZeroClass.{0} ENNReal (AddCommMonoid.toAddMonoid.{0} ENNReal (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (SMulWithZero.toSmulZeroClass.{0, 0} ENNReal ENNReal (MulZeroClass.toHasZero.{0} ENNReal (MulZeroOneClass.toMulZeroClass.{0} ENNReal (MonoidWithZero.toMulZeroOneClass.{0} ENNReal (Semiring.toMonoidWithZero.{0} ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (AddZeroClass.toHasZero.{0} ENNReal (AddMonoid.toAddZeroClass.{0} ENNReal (AddCommMonoid.toAddMonoid.{0} ENNReal (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (MulActionWithZero.toSMulWithZero.{0, 0} ENNReal ENNReal (Semiring.toMonoidWithZero.{0} ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (AddZeroClass.toHasZero.{0} ENNReal (AddMonoid.toAddZeroClass.{0} ENNReal (AddCommMonoid.toAddMonoid.{0} ENNReal (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))))) (Module.toMulActionWithZero.{0, 0} ENNReal ENNReal (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (Algebra.toModule.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) a m))
+but is expected to have type
+  forall {α : Type.{u1}} (a : ENNReal) (m : MeasureTheory.OuterMeasure.{u1} α), LE.le.{u1} (MeasurableSpace.{u1} α) (MeasurableSpace.instLEMeasurableSpace.{u1} α) (MeasureTheory.OuterMeasure.caratheodory.{u1} α m) (MeasureTheory.OuterMeasure.caratheodory.{u1} α (HSMul.hSMul.{0, u1, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (instHSMul.{0, u1} ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSMul.{u1, 0} α ENNReal (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) a m))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_smul_caratheodory MeasureTheory.OuterMeasure.le_smul_caratheodoryₓ'. -/
 theorem le_smul_caratheodory (a : ℝ≥0∞) (m : OuterMeasure α) :
     m.caratheodory ≤ (a • m).caratheodory := fun s h t => by simp [h t, mul_add]
 #align measure_theory.outer_measure.le_smul_caratheodory MeasureTheory.OuterMeasure.le_smul_caratheodory
 
+/- warning: measure_theory.outer_measure.dirac_caratheodory -> MeasureTheory.OuterMeasure.dirac_caratheodory is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (a : α), Eq.{succ u1} (MeasurableSpace.{u1} α) (MeasureTheory.OuterMeasure.caratheodory.{u1} α (MeasureTheory.OuterMeasure.dirac.{u1} α a)) (Top.top.{u1} (MeasurableSpace.{u1} α) (CompleteLattice.toHasTop.{u1} (MeasurableSpace.{u1} α) (MeasurableSpace.completeLattice.{u1} α)))
+but is expected to have type
+  forall {α : Type.{u1}} (a : α), Eq.{succ u1} (MeasurableSpace.{u1} α) (MeasureTheory.OuterMeasure.caratheodory.{u1} α (MeasureTheory.OuterMeasure.dirac.{u1} α a)) (Top.top.{u1} (MeasurableSpace.{u1} α) (CompleteLattice.toTop.{u1} (MeasurableSpace.{u1} α) (MeasurableSpace.instCompleteLatticeMeasurableSpace.{u1} α)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.dirac_caratheodory MeasureTheory.OuterMeasure.dirac_caratheodoryₓ'. -/
 @[simp]
 theorem dirac_caratheodory (a : α) : (dirac a).caratheodory = ⊤ :=
   top_unique fun s _ t => by
@@ -1123,21 +1789,35 @@ theorem dirac_caratheodory (a : α) : (dirac a).caratheodory = ⊤ :=
 
 section InfGen
 
+#print MeasureTheory.OuterMeasure.infₛGen /-
 /-- Given a set of outer measures, we define a new function that on a set `s` is defined to be the
   infimum of `μ(s)` for the outer measures `μ` in the collection. We ensure that this
   function is defined to be `0` on `∅`, even if the collection of outer measures is empty.
   The outer measure generated by this function is the infimum of the given outer measures. -/
-def infGen (m : Set (OuterMeasure α)) (s : Set α) : ℝ≥0∞ :=
+def infₛGen (m : Set (OuterMeasure α)) (s : Set α) : ℝ≥0∞ :=
   ⨅ (μ : OuterMeasure α) (h : μ ∈ m), μ s
-#align measure_theory.outer_measure.Inf_gen MeasureTheory.OuterMeasure.infGen
+#align measure_theory.outer_measure.Inf_gen MeasureTheory.OuterMeasure.infₛGen
+-/
 
-theorem infGen_def (m : Set (OuterMeasure α)) (t : Set α) :
-    infGen m t = ⨅ (μ : OuterMeasure α) (h : μ ∈ m), μ t :=
+/- warning: measure_theory.outer_measure.Inf_gen_def -> MeasureTheory.OuterMeasure.infₛGen_def is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (t : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.infₛGen.{u1} α m t) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Membership.Mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.hasMem.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) (fun (h : Membership.Mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.hasMem.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ t)))
+but is expected to have type
+  forall {α : Type.{u1}} (m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (t : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.infₛGen.{u1} α m t) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Membership.mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.instMembershipSet.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) (fun (h : Membership.mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.instMembershipSet.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) => MeasureTheory.OuterMeasure.measureOf.{u1} α μ t)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Inf_gen_def MeasureTheory.OuterMeasure.infₛGen_defₓ'. -/
+theorem infₛGen_def (m : Set (OuterMeasure α)) (t : Set α) :
+    infₛGen m t = ⨅ (μ : OuterMeasure α) (h : μ ∈ m), μ t :=
   rfl
-#align measure_theory.outer_measure.Inf_gen_def MeasureTheory.OuterMeasure.infGen_def
-
-theorem infₛ_eq_boundedBy_infGen (m : Set (OuterMeasure α)) :
-    infₛ m = OuterMeasure.boundedBy (infGen m) :=
+#align measure_theory.outer_measure.Inf_gen_def MeasureTheory.OuterMeasure.infₛGen_def
+
+/- warning: measure_theory.outer_measure.Inf_eq_bounded_by_Inf_gen -> MeasureTheory.OuterMeasure.infₛ_eq_boundedBy_infₛGen is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (InfSet.infₛ.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m) (MeasureTheory.OuterMeasure.boundedBy.{u1} α (MeasureTheory.OuterMeasure.infₛGen.{u1} α m))
+but is expected to have type
+  forall {α : Type.{u1}} (m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (InfSet.infₛ.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m) (MeasureTheory.OuterMeasure.boundedBy.{u1} α (MeasureTheory.OuterMeasure.infₛGen.{u1} α m))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Inf_eq_bounded_by_Inf_gen MeasureTheory.OuterMeasure.infₛ_eq_boundedBy_infₛGenₓ'. -/
+theorem infₛ_eq_boundedBy_infₛGen (m : Set (OuterMeasure α)) :
+    infₛ m = OuterMeasure.boundedBy (infₛGen m) :=
   by
   refine' le_antisymm _ _
   · refine' le_bounded_by.2 fun s => le_infᵢ₂ fun μ hμ => _
@@ -1145,10 +1825,16 @@ theorem infₛ_eq_boundedBy_infGen (m : Set (OuterMeasure α)) :
   · refine' le_infₛ _
     intro μ hμ t
     refine' le_trans (bounded_by_le t) (infᵢ₂_le μ hμ)
-#align measure_theory.outer_measure.Inf_eq_bounded_by_Inf_gen MeasureTheory.OuterMeasure.infₛ_eq_boundedBy_infGen
-
-theorem supᵢ_infGen_nonempty {m : Set (OuterMeasure α)} (h : m.Nonempty) (t : Set α) :
-    (⨆ h : t.Nonempty, infGen m t) = ⨅ (μ : OuterMeasure α) (h : μ ∈ m), μ t :=
+#align measure_theory.outer_measure.Inf_eq_bounded_by_Inf_gen MeasureTheory.OuterMeasure.infₛ_eq_boundedBy_infₛGen
+
+/- warning: measure_theory.outer_measure.supr_Inf_gen_nonempty -> MeasureTheory.OuterMeasure.supᵢ_infₛGen_nonempty is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)}, (Set.Nonempty.{u1} (MeasureTheory.OuterMeasure.{u1} α) m) -> (forall (t : Set.{u1} α), Eq.{1} ENNReal (supᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasSup.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Set.Nonempty.{u1} α t) (fun (h : Set.Nonempty.{u1} α t) => MeasureTheory.OuterMeasure.infₛGen.{u1} α m t)) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Membership.Mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.hasMem.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) (fun (h : Membership.Mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.hasMem.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ t))))
+but is expected to have type
+  forall {α : Type.{u1}} {m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)}, (Set.Nonempty.{u1} (MeasureTheory.OuterMeasure.{u1} α) m) -> (forall (t : Set.{u1} α), Eq.{1} ENNReal (supᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toSupSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Set.Nonempty.{u1} α t) (fun (h : Set.Nonempty.{u1} α t) => MeasureTheory.OuterMeasure.infₛGen.{u1} α m t)) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Membership.mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.instMembershipSet.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) (fun (h : Membership.mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.instMembershipSet.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) => MeasureTheory.OuterMeasure.measureOf.{u1} α μ t))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.supr_Inf_gen_nonempty MeasureTheory.OuterMeasure.supᵢ_infₛGen_nonemptyₓ'. -/
+theorem supᵢ_infₛGen_nonempty {m : Set (OuterMeasure α)} (h : m.Nonempty) (t : Set α) :
+    (⨆ h : t.Nonempty, infₛGen m t) = ⨅ (μ : OuterMeasure α) (h : μ ∈ m), μ t :=
   by
   rcases t.eq_empty_or_nonempty with (rfl | ht)
   · rcases h with ⟨μ, hμ⟩
@@ -1157,8 +1843,14 @@ theorem supᵢ_infGen_nonempty {m : Set (OuterMeasure α)} (h : m.Nonempty) (t :
     apply bot_unique
     refine' infᵢ_le_of_le μ (infᵢ_le _ hμ)
   · simp [ht, Inf_gen_def]
-#align measure_theory.outer_measure.supr_Inf_gen_nonempty MeasureTheory.OuterMeasure.supᵢ_infGen_nonempty
-
+#align measure_theory.outer_measure.supr_Inf_gen_nonempty MeasureTheory.OuterMeasure.supᵢ_infₛGen_nonempty
+
+/- warning: measure_theory.outer_measure.Inf_apply -> MeasureTheory.OuterMeasure.infₛ_apply is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)} {s : Set.{u1} α}, (Set.Nonempty.{u1} (MeasureTheory.OuterMeasure.{u1} α) m) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (InfSet.infₛ.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (n : Nat) => infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Membership.Mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.hasMem.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) (fun (h3 : Membership.Mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.hasMem.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ (t n))))))))
+but is expected to have type
+  forall {α : Type.{u1}} {m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)} {s : Set.{u1} α}, (Set.Nonempty.{u1} (MeasureTheory.OuterMeasure.{u1} α) m) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (InfSet.infₛ.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (n : Nat) => infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Membership.mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.instMembershipSet.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) (fun (h3 : Membership.mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.instMembershipSet.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) => MeasureTheory.OuterMeasure.measureOf.{u1} α μ (t n))))))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Inf_apply MeasureTheory.OuterMeasure.infₛ_applyₓ'. -/
 /-- The value of the Infimum of a nonempty set of outer measures on a set is not simply
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
@@ -1168,6 +1860,12 @@ theorem infₛ_apply {m : Set (OuterMeasure α)} {s : Set α} (h : m.Nonempty) :
   by simp_rw [Inf_eq_bounded_by_Inf_gen, bounded_by_apply, supr_Inf_gen_nonempty h]
 #align measure_theory.outer_measure.Inf_apply MeasureTheory.OuterMeasure.infₛ_apply
 
+/- warning: measure_theory.outer_measure.Inf_apply' -> MeasureTheory.OuterMeasure.infₛ_apply' is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)} {s : Set.{u1} α}, (Set.Nonempty.{u1} α s) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (InfSet.infₛ.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (n : Nat) => infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Membership.Mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.hasMem.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) (fun (h3 : Membership.Mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.hasMem.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ (t n))))))))
+but is expected to have type
+  forall {α : Type.{u1}} {m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)} {s : Set.{u1} α}, (Set.Nonempty.{u1} α s) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (InfSet.infₛ.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (n : Nat) => infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (MeasureTheory.OuterMeasure.{u1} α) (fun (μ : MeasureTheory.OuterMeasure.{u1} α) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Membership.mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.instMembershipSet.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) (fun (h3 : Membership.mem.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) (Set.instMembershipSet.{u1} (MeasureTheory.OuterMeasure.{u1} α)) μ m) => MeasureTheory.OuterMeasure.measureOf.{u1} α μ (t n))))))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.Inf_apply' MeasureTheory.OuterMeasure.infₛ_apply'ₓ'. -/
 /-- The value of the Infimum of a set of outer measures on a nonempty set is not simply
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
@@ -1177,6 +1875,12 @@ theorem infₛ_apply' {m : Set (OuterMeasure α)} {s : Set α} (h : s.Nonempty)
   m.eq_empty_or_nonempty.elim (fun hm => by simp [hm, h]) infₛ_apply
 #align measure_theory.outer_measure.Inf_apply' MeasureTheory.OuterMeasure.infₛ_apply'
 
+/- warning: measure_theory.outer_measure.infi_apply -> MeasureTheory.OuterMeasure.infᵢ_apply is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {ι : Sort.{u2}} [_inst_1 : Nonempty.{u2} ι] (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)) (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i)) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (n : Nat) => infᵢ.{0, u2} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) ι (fun (i : ι) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (m i) (t n))))))
+but is expected to have type
+  forall {α : Type.{u1}} {ι : Sort.{u2}} [_inst_1 : Nonempty.{u2} ι] (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)) (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i)) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (n : Nat) => infᵢ.{0, u2} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) ι (fun (i : ι) => MeasureTheory.OuterMeasure.measureOf.{u1} α (m i) (t n))))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.infi_apply MeasureTheory.OuterMeasure.infᵢ_applyₓ'. -/
 /-- The value of the Infimum of a nonempty family of outer measures on a set is not simply
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
@@ -1187,6 +1891,12 @@ theorem infᵢ_apply {ι} [Nonempty ι] (m : ι → OuterMeasure α) (s : Set α
   simp only [infᵢ_range]
 #align measure_theory.outer_measure.infi_apply MeasureTheory.OuterMeasure.infᵢ_apply
 
+/- warning: measure_theory.outer_measure.infi_apply' -> MeasureTheory.OuterMeasure.infᵢ_apply' is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {ι : Sort.{u2}} (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)) {s : Set.{u1} α}, (Set.Nonempty.{u1} α s) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i)) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (n : Nat) => infᵢ.{0, u2} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) ι (fun (i : ι) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (m i) (t n)))))))
+but is expected to have type
+  forall {α : Type.{u1}} {ι : Sort.{u2}} (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)) {s : Set.{u1} α}, (Set.Nonempty.{u1} α s) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i)) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (n : Nat) => infᵢ.{0, u2} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) ι (fun (i : ι) => MeasureTheory.OuterMeasure.measureOf.{u1} α (m i) (t n)))))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.infi_apply' MeasureTheory.OuterMeasure.infᵢ_apply'ₓ'. -/
 /-- The value of the Infimum of a family of outer measures on a nonempty set is not simply
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
@@ -1197,29 +1907,53 @@ theorem infᵢ_apply' {ι} (m : ι → OuterMeasure α) {s : Set α} (hs : s.Non
   simp only [infᵢ_range]
 #align measure_theory.outer_measure.infi_apply' MeasureTheory.OuterMeasure.infᵢ_apply'
 
+/- warning: measure_theory.outer_measure.binfi_apply -> MeasureTheory.OuterMeasure.binfᵢ_apply is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {ι : Type.{u2}} {I : Set.{u2} ι}, (Set.Nonempty.{u2} ι I) -> (forall (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)) (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (infᵢ.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => infᵢ.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => m i))) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (n : Nat) => infᵢ.{0, succ u2} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) ι (fun (i : ι) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (m i) (t n))))))))
+but is expected to have type
+  forall {α : Type.{u1}} {ι : Type.{u2}} {I : Set.{u2} ι}, (Set.Nonempty.{u2} ι I) -> (forall (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)) (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (infᵢ.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => infᵢ.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => m i))) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (n : Nat) => infᵢ.{0, succ u2} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) ι (fun (i : ι) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => MeasureTheory.OuterMeasure.measureOf.{u1} α (m i) (t n))))))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.binfi_apply MeasureTheory.OuterMeasure.binfᵢ_applyₓ'. -/
 /-- The value of the Infimum of a nonempty family of outer measures on a set is not simply
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
-theorem binfi_apply {ι} {I : Set ι} (hI : I.Nonempty) (m : ι → OuterMeasure α) (s : Set α) :
+theorem binfᵢ_apply {ι} {I : Set ι} (hI : I.Nonempty) (m : ι → OuterMeasure α) (s : Set α) :
     (⨅ i ∈ I, m i) s = ⨅ (t : ℕ → Set α) (h2 : s ⊆ unionᵢ t), ∑' n, ⨅ i ∈ I, m i (t n) :=
   by
   haveI := hI.to_subtype
   simp only [← infᵢ_subtype'', infᵢ_apply]
-#align measure_theory.outer_measure.binfi_apply MeasureTheory.OuterMeasure.binfi_apply
-
+#align measure_theory.outer_measure.binfi_apply MeasureTheory.OuterMeasure.binfᵢ_apply
+
+/- warning: measure_theory.outer_measure.binfi_apply' -> MeasureTheory.OuterMeasure.binfᵢ_apply' is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {ι : Type.{u2}} (I : Set.{u2} ι) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)) {s : Set.{u1} α}, (Set.Nonempty.{u1} α s) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (infᵢ.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => infᵢ.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => m i))) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (n : Nat) => infᵢ.{0, succ u2} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) ι (fun (i : ι) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (m i) (t n))))))))
+but is expected to have type
+  forall {α : Type.{u1}} {ι : Type.{u2}} (I : Set.{u2} ι) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)) {s : Set.{u1} α}, (Set.Nonempty.{u1} α s) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (infᵢ.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => infᵢ.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => m i))) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Nat -> (Set.{u1} α)) (fun (t : Nat -> (Set.{u1} α)) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) (fun (h2 : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s (Set.unionᵢ.{u1, 1} α Nat t)) => tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (n : Nat) => infᵢ.{0, succ u2} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) ι (fun (i : ι) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => MeasureTheory.OuterMeasure.measureOf.{u1} α (m i) (t n))))))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.binfi_apply' MeasureTheory.OuterMeasure.binfᵢ_apply'ₓ'. -/
 /-- The value of the Infimum of a nonempty family of outer measures on a set is not simply
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
-theorem binfi_apply' {ι} (I : Set ι) (m : ι → OuterMeasure α) {s : Set α} (hs : s.Nonempty) :
+theorem binfᵢ_apply' {ι} (I : Set ι) (m : ι → OuterMeasure α) {s : Set α} (hs : s.Nonempty) :
     (⨅ i ∈ I, m i) s = ⨅ (t : ℕ → Set α) (h2 : s ⊆ unionᵢ t), ∑' n, ⨅ i ∈ I, m i (t n) := by
   simp only [← infᵢ_subtype'', infi_apply' _ hs]
-#align measure_theory.outer_measure.binfi_apply' MeasureTheory.OuterMeasure.binfi_apply'
-
+#align measure_theory.outer_measure.binfi_apply' MeasureTheory.OuterMeasure.binfᵢ_apply'
+
+/- warning: measure_theory.outer_measure.map_infi_le -> MeasureTheory.OuterMeasure.map_infᵢ_le is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {ι : Sort.{u2}} {β : Type.{u3}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), LE.le.{u3} (MeasureTheory.OuterMeasure.{u3} β) (Preorder.toLE.{u3} (MeasureTheory.OuterMeasure.{u3} β) (PartialOrder.toPreorder.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instPartialOrder.{u3} β))) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (infᵢ.{u3, u2} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) 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(MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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+but is expected to have type
+  forall {α : Type.{u1}} {ι : Sort.{u3}} {β : Type.{u2}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), LE.le.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (infᵢ.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (Preorder.toLE.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (infᵢ.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i 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(Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.map.{u1, u2} α β f) (m i)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_infi_le MeasureTheory.OuterMeasure.map_infᵢ_leₓ'. -/
 theorem map_infᵢ_le {ι β} (f : α → β) (m : ι → OuterMeasure α) :
     map f (⨅ i, m i) ≤ ⨅ i, map f (m i) :=
   (map_mono f).map_infᵢ_le
 #align measure_theory.outer_measure.map_infi_le MeasureTheory.OuterMeasure.map_infᵢ_le
 
+/- warning: measure_theory.outer_measure.comap_infi -> MeasureTheory.OuterMeasure.comap_infᵢ is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {ι : Sort.{u2}} {β : Type.{u3}} (f : α -> β) (m : ι -> (MeasureTheory.OuterMeasure.{u3} β)), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{max (succ u3) (succ u1), max (succ u3) (succ u1)} (LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) 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α β f) (m i)))
+but is expected to have type
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ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.comap.{u1, u2} α β f) (m i)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.comap_infi MeasureTheory.OuterMeasure.comap_infᵢₓ'. -/
 theorem comap_infᵢ {ι β} (f : α → β) (m : ι → OuterMeasure β) :
     comap f (⨅ i, m i) = ⨅ i, comap f (m i) :=
   by
@@ -1231,6 +1965,12 @@ theorem comap_infᵢ {ι β} (f : α → β) (m : ι → OuterMeasure β) :
   exact infᵢ_mono fun i => (m i).mono (image_preimage_subset _ _)
 #align measure_theory.outer_measure.comap_infi MeasureTheory.OuterMeasure.comap_infᵢ
 
+/- warning: measure_theory.outer_measure.map_infi -> MeasureTheory.OuterMeasure.map_infᵢ is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {ι : Sort.{u2}} {β : Type.{u3}} {f : α -> β}, (Function.Injective.{succ u1, succ u3} α β f) -> (forall (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u3} (MeasureTheory.OuterMeasure.{u3} β) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal 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(MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal 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(Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (coeFn.{succ u3, succ u3} (LinearMap.{0, 0, u3, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (m i)))))
+but is expected to have type
+  forall {α : Type.{u1}} {ι : Sort.{u3}} {β : Type.{u2}} {f : α -> β}, (Function.Injective.{succ u1, succ u2} α β f) -> (forall (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u2} β) (infᵢ.{u1, u3} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{0, 0, u1, u2} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u2} β (Set.range.{u2, succ u1} β α 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+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_infi MeasureTheory.OuterMeasure.map_infᵢₓ'. -/
 theorem map_infᵢ {ι β} {f : α → β} (hf : Injective f) (m : ι → OuterMeasure α) :
     map f (⨅ i, m i) = restrict (range f) (⨅ i, map f (m i)) :=
   by
@@ -1238,6 +1978,12 @@ theorem map_infᵢ {ι β} {f : α → β} (hf : Injective f) (m : ι → OuterM
   simp only [comap_infi, comap_map hf]
 #align measure_theory.outer_measure.map_infi MeasureTheory.OuterMeasure.map_infᵢ
 
+/- warning: measure_theory.outer_measure.map_infi_comap -> MeasureTheory.OuterMeasure.map_infᵢ_comap is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {ι : Sort.{u2}} {β : Type.{u3}} [_inst_1 : Nonempty.{u2} ι] {f : α -> β} (m : ι -> (MeasureTheory.OuterMeasure.{u3} β)), Eq.{succ u3} (MeasureTheory.OuterMeasure.{u3} β) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => coeFn.{max (succ u3) (succ u1), max (succ u3) (succ u1)} (LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u3} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u3, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u3} α β f) (m i)))) (infᵢ.{u3, u2} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) ι (fun (i : ι) => coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (coeFn.{max (succ u3) (succ u1), max (succ u3) (succ u1)} (LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal 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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_infi_comap MeasureTheory.OuterMeasure.map_infᵢ_comapₓ'. -/
 theorem map_infᵢ_comap {ι β} [Nonempty ι] {f : α → β} (m : ι → OuterMeasure β) :
     map f (⨅ i, comap f (m i)) = ⨅ i, map f (comap f (m i)) :=
   by
@@ -1251,14 +1997,26 @@ theorem map_infᵢ_comap {ι β} [Nonempty ι] {f : α → β} (m : ι → Outer
     simp
 #align measure_theory.outer_measure.map_infi_comap MeasureTheory.OuterMeasure.map_infᵢ_comap
 
-theorem map_binfi_comap {ι β} {I : Set ι} (hI : I.Nonempty) {f : α → β} (m : ι → OuterMeasure β) :
+/- warning: measure_theory.outer_measure.map_binfi_comap -> MeasureTheory.OuterMeasure.map_binfᵢ_comap is a dubious translation:
+lean 3 declaration is
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(MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal 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(MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) (infᵢ.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => infᵢ.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => coeFn.{max (succ u3) (succ u1), max (succ u3) (succ u1)} (LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) (fun (_x : LinearMap.{0, 0, u3, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2)) => (MeasureTheory.OuterMeasure.{u3} β) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u3, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.comap.{u1, u3} α β f) (m i))))) (infᵢ.{u3, succ u2} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) ι (fun (i : ι) => infᵢ.{u3, 0} (MeasureTheory.OuterMeasure.{u3} β) (ConditionallyCompleteLattice.toHasInf.{u3} (MeasureTheory.OuterMeasure.{u3} β) (CompleteLattice.toConditionallyCompleteLattice.{u3} (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.instCompleteLattice.{u3} β))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) (fun (_x : LinearMap.{0, 0, u1, u3} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u3} β)) (LinearMap.hasCoeToFun.{0, 0, u1, u3} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u3} β) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u3} β) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_1) (MeasureTheory.OuterMeasure.instModule.{u3, 0} β ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.map._proof_2) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.map.{u1, u3} α β f) 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.comap._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) 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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.map_binfi_comap MeasureTheory.OuterMeasure.map_binfᵢ_comapₓ'. -/
+theorem map_binfᵢ_comap {ι β} {I : Set ι} (hI : I.Nonempty) {f : α → β} (m : ι → OuterMeasure β) :
     map f (⨅ i ∈ I, comap f (m i)) = ⨅ i ∈ I, map f (comap f (m i)) :=
   by
   haveI := hI.to_subtype
   rw [← infᵢ_subtype'', ← infᵢ_subtype'']
   exact map_infi_comap _
-#align measure_theory.outer_measure.map_binfi_comap MeasureTheory.OuterMeasure.map_binfi_comap
-
+#align measure_theory.outer_measure.map_binfi_comap MeasureTheory.OuterMeasure.map_binfᵢ_comap
+
+/- warning: measure_theory.outer_measure.restrict_infi_restrict -> MeasureTheory.OuterMeasure.restrict_infᵢ_restrict is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {ι : Sort.{u2}} (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i)))
+but is expected to have type
+  forall {α : Type.{u1}} {ι : Sort.{u2}} (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal 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(Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_infi_restrict MeasureTheory.OuterMeasure.restrict_infᵢ_restrictₓ'. -/
 theorem restrict_infᵢ_restrict {ι} (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨅ i, restrict s (m i)) = restrict s (⨅ i, m i) :=
   calc
@@ -1269,19 +2027,37 @@ theorem restrict_infᵢ_restrict {ι} (s : Set α) (m : ι → OuterMeasure α)
     
 #align measure_theory.outer_measure.restrict_infi_restrict MeasureTheory.OuterMeasure.restrict_infᵢ_restrict
 
+/- warning: measure_theory.outer_measure.restrict_infi -> MeasureTheory.OuterMeasure.restrict_infᵢ is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {ι : Sort.{u2}} [_inst_1 : Nonempty.{u2} ι] (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal 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(MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))
+but is expected to have type
+  forall {α : Type.{u1}} {ι : Sort.{u2}} [_inst_1 : Nonempty.{u2} ι] (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (infᵢ.{u1, u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => m i))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) 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+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_infi MeasureTheory.OuterMeasure.restrict_infᵢₓ'. -/
 theorem restrict_infᵢ {ι} [Nonempty ι] (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨅ i, m i) = ⨅ i, restrict s (m i) :=
   (congr_arg (map coe) (comap_infᵢ _ _)).trans (map_infᵢ_comap _)
 #align measure_theory.outer_measure.restrict_infi MeasureTheory.OuterMeasure.restrict_infᵢ
 
-theorem restrict_binfi {ι} {I : Set ι} (hI : I.Nonempty) (s : Set α) (m : ι → OuterMeasure α) :
+/- warning: measure_theory.outer_measure.restrict_binfi -> MeasureTheory.OuterMeasure.restrict_binfᵢ is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {ι : Type.{u2}} {I : Set.{u2} ι}, (Set.Nonempty.{u2} ι I) -> (forall (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal 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(MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal 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i I) => m i)))) (infᵢ.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => infᵢ.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) (fun (H : Membership.Mem.{u2, u2} ι (Set.{u2} ι) (Set.hasMem.{u2} ι) i I) => coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))))
+but is expected to have type
+  forall {α : Type.{u1}} {ι : Type.{u2}} {I : Set.{u2} ι}, (Set.Nonempty.{u2} ι I) -> (forall (s : Set.{u1} α) (m : ι -> (MeasureTheory.OuterMeasure.{u1} α)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (infᵢ.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => infᵢ.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (h._@.Mathlib.MeasureTheory.Measure.OuterMeasure._hyg.17173 : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => m i)))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (infᵢ.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => infᵢ.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => m i)))) (infᵢ.{u1, succ u2} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) ι (fun (i : ι) => infᵢ.{u1, 0} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) (fun (H : Membership.mem.{u2, u2} ι (Set.{u2} ι) (Set.instMembershipSet.{u2} ι) i I) => FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (m i)))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_binfi MeasureTheory.OuterMeasure.restrict_binfᵢₓ'. -/
+theorem restrict_binfᵢ {ι} {I : Set ι} (hI : I.Nonempty) (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨅ i ∈ I, m i) = ⨅ i ∈ I, restrict s (m i) :=
   by
   haveI := hI.to_subtype
   rw [← infᵢ_subtype'', ← infᵢ_subtype'']
   exact restrict_infi _ _
-#align measure_theory.outer_measure.restrict_binfi MeasureTheory.OuterMeasure.restrict_binfi
-
+#align measure_theory.outer_measure.restrict_binfi MeasureTheory.OuterMeasure.restrict_binfᵢ
+
+/- warning: measure_theory.outer_measure.restrict_Inf_eq_Inf_restrict -> MeasureTheory.OuterMeasure.restrict_infₛ_eq_infₛ_restrict is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} (m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) {s : Set.{u1} α}, (Set.Nonempty.{u1} (MeasureTheory.OuterMeasure.{u1} α) m) -> (Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) => (MeasureTheory.OuterMeasure.{u1} α) -> (MeasureTheory.OuterMeasure.{u1} α)) (LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (InfSet.infₛ.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m)) (InfSet.infₛ.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toHasInf.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Set.image.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1)) (fun (_x : LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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(LinearMap.hasCoeToFun.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) MeasureTheory.OuterMeasure.restrict._proof_1) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s)) m)))
+but is expected to have type
+  forall {α : Type.{u1}} (m : Set.{u1} (MeasureTheory.OuterMeasure.{u1} α)) {s : Set.{u1} α}, (Set.Nonempty.{u1} (MeasureTheory.OuterMeasure.{u1} α) m) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) (InfSet.infₛ.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal 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ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s) (InfSet.infₛ.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) m)) (InfSet.infₛ.{u1} (MeasureTheory.OuterMeasure.{u1} α) (ConditionallyCompleteLattice.toInfSet.{u1} (MeasureTheory.OuterMeasure.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instCompleteLattice.{u1} α))) (Set.image.{u1, u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{0, 0, u1, u1} ENNReal ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))))) (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MeasureTheory.OuterMeasure.{u1} α) => MeasureTheory.OuterMeasure.{u1} α) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, u1} ENNReal ENNReal (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.addCommMonoid.{u1} α) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (MeasureTheory.OuterMeasure.instModule.{u1, 0} α ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Semiring.toModule.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (IsScalarTower.right.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (CommSemiring.toSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))) (RingHom.id.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))) (MeasureTheory.OuterMeasure.restrict.{u1} α s)) m)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.restrict_Inf_eq_Inf_restrict MeasureTheory.OuterMeasure.restrict_infₛ_eq_infₛ_restrictₓ'. -/
 /-- This proves that Inf and restrict commute for outer measures, so long as the set of
 outer measures is nonempty. -/
 theorem restrict_infₛ_eq_infₛ_restrict (m : Set (OuterMeasure α)) {s : Set α} (hm : m.Nonempty) :
@@ -1313,18 +2089,34 @@ variable {α : Type _} {P : α → Prop}
 
 variable (m : ∀ s : α, P s → ℝ≥0∞)
 
+#print MeasureTheory.extend /-
 /-- We can trivially extend a function defined on a subclass of objects (with codomain `ℝ≥0∞`)
   to all objects by defining it to be `∞` on the objects not in the class. -/
 def extend (s : α) : ℝ≥0∞ :=
   ⨅ h : P s, m s h
 #align measure_theory.extend MeasureTheory.extend
+-/
 
+#print MeasureTheory.extend_eq /-
 theorem extend_eq {s : α} (h : P s) : extend m s = m s h := by simp [extend, h]
 #align measure_theory.extend_eq MeasureTheory.extend_eq
+-/
 
+/- warning: measure_theory.extend_eq_top -> MeasureTheory.extend_eq_top is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {P : α -> Prop} (m : forall (s : α), (P s) -> ENNReal) {s : α}, (Not (P s)) -> (Eq.{1} ENNReal (MeasureTheory.extend.{u1} α (fun (s : α) => P s) m s) (Top.top.{0} ENNReal (CompleteLattice.toHasTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))
+but is expected to have type
+  forall {α : Type.{u1}} {P : α -> Prop} (m : forall (s : α), (P s) -> ENNReal) {s : α}, (Not (P s)) -> (Eq.{1} ENNReal (MeasureTheory.extend.{u1} α (fun (s : α) => P s) m s) (Top.top.{0} ENNReal (CompleteLattice.toTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.extend_eq_top MeasureTheory.extend_eq_topₓ'. -/
 theorem extend_eq_top {s : α} (h : ¬P s) : extend m s = ∞ := by simp [extend, h]
 #align measure_theory.extend_eq_top MeasureTheory.extend_eq_top
 
+/- warning: measure_theory.le_extend -> MeasureTheory.le_extend is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {P : α -> Prop} (m : forall (s : α), (P s) -> ENNReal) {s : α} (h : P s), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s h) (MeasureTheory.extend.{u1} α (fun (s : α) => P s) m s)
+but is expected to have type
+  forall {α : Type.{u1}} {P : α -> Prop} (m : forall (s : α), (P s) -> ENNReal) {s : α} (h : P s), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s h) (MeasureTheory.extend.{u1} α (fun (s : α) => P s) m s)
+Case conversion may be inaccurate. Consider using '#align measure_theory.le_extend MeasureTheory.le_extendₓ'. -/
 theorem le_extend {s : α} (h : P s) : m s h ≤ extend m s :=
   by
   simp only [extend, le_infᵢ_iff]
@@ -1332,12 +2124,14 @@ theorem le_extend {s : α} (h : P s) : m s h ≤ extend m s :=
   rfl
 #align measure_theory.le_extend MeasureTheory.le_extend
 
+#print MeasureTheory.extend_congr /-
 -- TODO: why this is a bad `congr` lemma?
 theorem extend_congr {β : Type _} {Pb : β → Prop} {mb : ∀ s : β, Pb s → ℝ≥0∞} {sa : α} {sb : β}
     (hP : P sa ↔ Pb sb) (hm : ∀ (ha : P sa) (hb : Pb sb), m sa ha = mb sb hb) :
     extend m sa = extend mb sb :=
   infᵢ_congr_Prop hP fun h => hm _ _
 #align measure_theory.extend_congr MeasureTheory.extend_congr
+-/
 
 end Extend
 
@@ -1360,10 +2154,22 @@ variable (msU : ∀ ⦃f : ℕ → Set α⦄ (hm : ∀ i, P (f i)), m (⋃ i, f
 
 variable (m_mono : ∀ ⦃s₁ s₂ : Set α⦄ (hs₁ : P s₁) (hs₂ : P s₂), s₁ ⊆ s₂ → m s₁ hs₁ ≤ m s₂ hs₂)
 
+/- warning: measure_theory.extend_empty -> MeasureTheory.extend_empty is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} (P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))), (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (Eq.{1} ENNReal (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero))))
+but is expected to have type
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} (P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))), (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (Eq.{1} ENNReal (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.extend_empty MeasureTheory.extend_emptyₓ'. -/
 theorem extend_empty : extend m ∅ = 0 :=
   (extend_eq _ P0).trans m0
 #align measure_theory.extend_empty MeasureTheory.extend_empty
 
+/- warning: measure_theory.extend_Union_nat -> MeasureTheory.extend_unionᵢ_nat is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))) {f : Nat -> (Set.{u1} α)} (hm : forall (i : Nat), P (f i)), (Eq.{1} ENNReal (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (Eq.{1} ENNReal (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i))) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (f i))))
+but is expected to have type
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))) {f : Nat -> (Set.{u1} α)} (hm : forall (i : Nat), P (f i)), (Eq.{1} ENNReal (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (Eq.{1} ENNReal (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i))) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (f i))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.extend_Union_nat MeasureTheory.extend_unionᵢ_natₓ'. -/
 theorem extend_unionᵢ_nat {f : ℕ → Set α} (hm : ∀ i, P (f i))
     (mU : m (⋃ i, f i) (PU hm) = ∑' i, m (f i) (hm i)) :
     extend m (⋃ i, f i) = ∑' i, extend m (f i) :=
@@ -1377,6 +2183,12 @@ section Subadditive
 
 include PU msU
 
+/- warning: measure_theory.extend_Union_le_tsum_nat' -> MeasureTheory.extend_unionᵢ_le_tsum_nat' is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (s i))))
+but is expected to have type
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (s i))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.extend_Union_le_tsum_nat' MeasureTheory.extend_unionᵢ_le_tsum_nat'ₓ'. -/
 theorem extend_unionᵢ_le_tsum_nat' (s : ℕ → Set α) : extend m (⋃ i, s i) ≤ ∑' i, extend m (s i) :=
   by
   by_cases h : ∀ i, P (s i)
@@ -1394,6 +2206,12 @@ section Mono
 
 include m_mono
 
+/- warning: measure_theory.extend_mono' -> MeasureTheory.extend_mono' is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal}, (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}}, (P s₁) -> (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s₁) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s₂)))
+but is expected to have type
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal}, (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}}, (P s₁) -> (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s₁) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s₂)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.extend_mono' MeasureTheory.extend_mono'ₓ'. -/
 theorem extend_mono' ⦃s₁ s₂ : Set α⦄ (h₁ : P s₁) (hs : s₁ ⊆ s₂) : extend m s₁ ≤ extend m s₂ :=
   by
   refine' le_infᵢ _
@@ -1408,6 +2226,12 @@ section Unions
 
 include P0 m0 PU mU
 
+/- warning: measure_theory.extend_Union -> MeasureTheory.extend_unionᵢ is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} (P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))), (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (forall (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) f)) -> (Eq.{1} ENNReal (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {β : Type.{u2}} [_inst_1 : Countable.{succ u2} β] {f : β -> (Set.{u1} α)}, (Pairwise.{u2} β (Function.onFun.{succ u2, succ u1, 1} β (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) f)) -> (forall (i : β), P (f i)) -> (Eq.{1} ENNReal (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (Set.unionᵢ.{u1, succ u2} α β (fun (i : β) => f i))) (tsum.{0, u2} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace β (fun (i : β) => MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (f i))))))
+but is expected to have type
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} (P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))), (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (forall (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) f)) -> (Eq.{1} ENNReal (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {β : Type.{u2}} [_inst_1 : Countable.{succ u2} β] {f : β -> (Set.{u1} α)}, (Pairwise.{u2} β (Function.onFun.{succ u2, succ u1, 1} β (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) f)) -> (forall (i : β), P (f i)) -> (Eq.{1} ENNReal (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (Set.unionᵢ.{u1, succ u2} α β (fun (i : β) => f i))) (tsum.{0, u2} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal β (fun (i : β) => MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (f i))))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.extend_Union MeasureTheory.extend_unionᵢₓ'. -/
 theorem extend_unionᵢ {β} [Countable β] {f : β → Set α} (hd : Pairwise (Disjoint on f))
     (hm : ∀ i, P (f i)) : extend m (⋃ i, f i) = ∑' i, extend m (f i) :=
   by
@@ -1420,6 +2244,12 @@ theorem extend_unionᵢ {β} [Countable β] {f : β → Set α} (hd : Pairwise (
   · exact extend_empty P0 m0
 #align measure_theory.extend_Union MeasureTheory.extend_unionᵢ
 
+/- warning: measure_theory.extend_union -> MeasureTheory.extend_union is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} (P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))), (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (forall (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) f)) -> (Eq.{1} ENNReal (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α))) s₁ s₂) -> (P s₁) -> (P s₂) -> (Eq.{1} ENNReal (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (Union.union.{u1} (Set.{u1} α) (Set.hasUnion.{u1} α) s₁ s₂)) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s₁) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s₂)))))
+but is expected to have type
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} (P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))), (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (forall (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) f)) -> (Eq.{1} ENNReal (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) s₁ s₂) -> (P s₁) -> (P s₂) -> (Eq.{1} ENNReal (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m (Union.union.{u1} (Set.{u1} α) (Set.instUnionSet.{u1} α) s₁ s₂)) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s₁) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s₂)))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.extend_union MeasureTheory.extend_unionₓ'. -/
 theorem extend_union {s₁ s₂ : Set α} (hd : Disjoint s₁ s₂) (h₁ : P s₁) (h₂ : P s₂) :
     extend m (s₁ ∪ s₂) = extend m s₁ + extend m s₂ :=
   by
@@ -1433,6 +2263,12 @@ end Unions
 
 variable (m)
 
+/- warning: measure_theory.induced_outer_measure -> MeasureTheory.inducedOuterMeasure is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} (m : forall (s : Set.{u1} α), (P s) -> ENNReal) (P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))), (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (MeasureTheory.OuterMeasure.{u1} α)
+but is expected to have type
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} (m : forall (s : Set.{u1} α), (P s) -> ENNReal) (P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))), (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (MeasureTheory.OuterMeasure.{u1} α)
+Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure MeasureTheory.inducedOuterMeasureₓ'. -/
 /-- Given an arbitrary function on a subset of sets, we can define the outer measure corresponding
   to it (this is the unique maximal outer measure that is at most `m` on the domain of `m`). -/
 def inducedOuterMeasure : OuterMeasure α :=
@@ -1441,11 +2277,23 @@ def inducedOuterMeasure : OuterMeasure α :=
 
 variable {m P0 m0}
 
+/- warning: measure_theory.le_induced_outer_measure -> MeasureTheory.le_inducedOuterMeasure is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} {μ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) μ (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0)) (forall (s : Set.{u1} α) (hs : P s), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) μ s) (m s hs))
+but is expected to have type
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} {μ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) μ (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0)) (forall (s : Set.{u1} α) (hs : P s), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α μ s) (m s hs))
+Case conversion may be inaccurate. Consider using '#align measure_theory.le_induced_outer_measure MeasureTheory.le_inducedOuterMeasureₓ'. -/
 theorem le_inducedOuterMeasure {μ : OuterMeasure α} :
     μ ≤ inducedOuterMeasure m P0 m0 ↔ ∀ (s) (hs : P s), μ s ≤ m s hs :=
   le_ofFunction.trans <| forall_congr' fun s => le_infᵢ_iff
 #align measure_theory.le_induced_outer_measure MeasureTheory.le_inducedOuterMeasure
 
+/- warning: measure_theory.induced_outer_measure_union_of_false_of_nonempty_inter -> MeasureTheory.inducedOuterMeasure_union_of_false_of_nonempty_inter is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} {s : Set.{u1} α} {t : Set.{u1} α}, (forall (u : Set.{u1} α), (Set.Nonempty.{u1} α (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) s u)) -> (Set.Nonempty.{u1} α (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t u)) -> (Not (P u))) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (Union.union.{u1} (Set.{u1} α) (Set.hasUnion.{u1} α) s t)) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) t)))
+but is expected to have type
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} {s : Set.{u1} α} {t : Set.{u1} α}, (forall (u : Set.{u1} α), (Set.Nonempty.{u1} α (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) s u)) -> (Set.Nonempty.{u1} α (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t u)) -> (Not (P u))) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (Union.union.{u1} (Set.{u1} α) (Set.instUnionSet.{u1} α) s t)) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) t)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_union_of_false_of_nonempty_inter MeasureTheory.inducedOuterMeasure_union_of_false_of_nonempty_interₓ'. -/
 /-- If `P u` is `false` for any set `u` that has nonempty intersection both with `s` and `t`, then
 `μ (s ∪ t) = μ s + μ t`, where `μ = induced_outer_measure m P0 m0`.
 
@@ -1460,15 +2308,33 @@ theorem inducedOuterMeasure_union_of_false_of_nonempty_inter {s t : Set α}
 
 include msU m_mono
 
+/- warning: measure_theory.induced_outer_measure_eq_extend' -> MeasureTheory.inducedOuterMeasure_eq_extend' is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {s : Set.{u1} α}, (P s) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s)))
+but is expected to have type
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {s : Set.{u1} α}, (P s) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => P s) m s)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_eq_extend' MeasureTheory.inducedOuterMeasure_eq_extend'ₓ'. -/
 theorem inducedOuterMeasure_eq_extend' {s : Set α} (hs : P s) :
     inducedOuterMeasure m P0 m0 s = extend m s :=
   ofFunction_eq s (fun t => extend_mono' m_mono hs) (extend_unionᵢ_le_tsum_nat' PU msU)
 #align measure_theory.induced_outer_measure_eq_extend' MeasureTheory.inducedOuterMeasure_eq_extend'
 
+/- warning: measure_theory.induced_outer_measure_eq' -> MeasureTheory.inducedOuterMeasure_eq' is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {s : Set.{u1} α} (hs : P s), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (m s hs))
+but is expected to have type
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {s : Set.{u1} α} (hs : P s), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (m s hs))
+Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_eq' MeasureTheory.inducedOuterMeasure_eq'ₓ'. -/
 theorem inducedOuterMeasure_eq' {s : Set α} (hs : P s) : inducedOuterMeasure m P0 m0 s = m s hs :=
   (inducedOuterMeasure_eq_extend' PU msU m_mono hs).trans <| extend_eq _ _
 #align measure_theory.induced_outer_measure_eq' MeasureTheory.inducedOuterMeasure_eq'
 
+/- warning: measure_theory.induced_outer_measure_eq_infi -> MeasureTheory.inducedOuterMeasure_eq_infᵢ is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Set.{u1} α) (fun (t : Set.{u1} α) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (P t) (fun (ht : P t) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (fun (h : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) => m t ht)))))
+but is expected to have type
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Set.{u1} α) (fun (t : Set.{u1} α) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (P t) (fun (ht : P t) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) (fun (h : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) => m t ht)))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_eq_infi MeasureTheory.inducedOuterMeasure_eq_infᵢₓ'. -/
 theorem inducedOuterMeasure_eq_infᵢ (s : Set α) :
     inducedOuterMeasure m P0 m0 s = ⨅ (t : Set α) (ht : P t) (h : s ⊆ t), m t ht :=
   by
@@ -1487,6 +2353,12 @@ theorem inducedOuterMeasure_eq_infᵢ (s : Set α) :
     refine' infᵢ_le_of_le _ (infᵢ_le_of_le h2f <| infᵢ_le _ hf)
 #align measure_theory.induced_outer_measure_eq_infi MeasureTheory.inducedOuterMeasure_eq_infᵢ
 
+/- warning: measure_theory.induced_outer_measure_preimage -> MeasureTheory.inducedOuterMeasure_preimage is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall (f : Equiv.{succ u1, succ u1} α α) (Pm : forall (s : Set.{u1} α), Iff (P (Set.preimage.{u1, u1} α α (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) (fun (_x : Equiv.{succ u1, succ u1} α α) => α -> α) (Equiv.hasCoeToFun.{succ u1, succ u1} α α) f) s)) (P s)), (forall (s : Set.{u1} α) (hs : P s), Eq.{1} ENNReal (m (Set.preimage.{u1, u1} α α (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) (fun (_x : Equiv.{succ u1, succ u1} α α) => α -> α) (Equiv.hasCoeToFun.{succ u1, succ u1} α α) f) s) (Iff.mpr (P (Set.preimage.{u1, u1} α α (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) (fun (_x : Equiv.{succ u1, succ u1} α α) => α -> α) (Equiv.hasCoeToFun.{succ u1, succ u1} α α) f) s)) (P s) (Pm s) hs)) (m s hs)) -> (forall {A : Set.{u1} α}, Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (Set.preimage.{u1, u1} α α (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) (fun (_x : Equiv.{succ u1, succ u1} α α) => α -> α) (Equiv.hasCoeToFun.{succ u1, succ u1} α α) f) A)) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) A)))
+but is expected to have type
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall (f : Equiv.{succ u1, succ u1} α α) (Pm : forall (s : Set.{u1} α), Iff (P (Set.preimage.{u1, u1} α α (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) α (fun (_x : α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : α) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} α α) f) s)) (P s)), (forall (s : Set.{u1} α) (hs : P s), Eq.{1} ENNReal (m (Set.preimage.{u1, u1} α α (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) α (fun (_x : α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : α) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} α α) f) s) (Iff.mpr (P (Set.preimage.{u1, u1} α α (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) α (fun (_x : α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : α) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} α α) f) s)) (P s) (Pm s) hs)) (m s hs)) -> (forall {A : Set.{u1} α}, Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (Set.preimage.{u1, u1} α α (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} α α) α (fun (_x : α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : α) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} α α) f) A)) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) A)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_preimage MeasureTheory.inducedOuterMeasure_preimageₓ'. -/
 theorem inducedOuterMeasure_preimage (f : α ≃ α) (Pm : ∀ s : Set α, P (f ⁻¹' s) ↔ P s)
     (mm : ∀ (s : Set α) (hs : P s), m (f ⁻¹' s) ((Pm _).mpr hs) = m s hs) {A : Set α} :
     inducedOuterMeasure m P0 m0 (f ⁻¹' A) = inducedOuterMeasure m P0 m0 A :=
@@ -1498,6 +2370,12 @@ theorem inducedOuterMeasure_preimage (f : α ≃ α) (Pm : ∀ s : Set α, P (f
   intro h2s; exact mm s hs
 #align measure_theory.induced_outer_measure_preimage MeasureTheory.inducedOuterMeasure_preimage
 
+/- warning: measure_theory.induced_outer_measure_exists_set -> MeasureTheory.inducedOuterMeasure_exists_set is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {s : Set.{u1} α}, (Ne.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (Top.top.{0} ENNReal (CompleteLattice.toHasTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder)))) -> (forall {ε : ENNReal}, (Ne.{1} ENNReal ε (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (Exists.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => Exists.{0} (P t) (fun (ht : P t) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) t) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) ε)))))))
+but is expected to have type
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall {s : Set.{u1} α}, (Ne.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) (Top.top.{0} ENNReal (CompleteLattice.toTop.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) -> (forall {ε : ENNReal}, (Ne.{1} ENNReal ε (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (Exists.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => Exists.{0} (P t) (fun (ht : P t) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) t) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) s) ε)))))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_exists_set MeasureTheory.inducedOuterMeasure_exists_setₓ'. -/
 theorem inducedOuterMeasure_exists_set {s : Set α} (hs : inducedOuterMeasure m P0 m0 s ≠ ∞)
     {ε : ℝ≥0∞} (hε : ε ≠ 0) :
     ∃ (t : Set α)(ht : P t),
@@ -1513,6 +2391,12 @@ theorem inducedOuterMeasure_exists_set {s : Set α} (hs : inducedOuterMeasure m
     ⟨t, h1t, h2t, le_trans (le_of_eq <| induced_outer_measure_eq' _ msU m_mono h1t) (le_of_lt h3t)⟩
 #align measure_theory.induced_outer_measure_exists_set MeasureTheory.inducedOuterMeasure_exists_set
 
+/- warning: measure_theory.induced_outer_measure_caratheodory -> MeasureTheory.inducedOuterMeasure_caratheodory is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall (s : Set.{u1} α), Iff (MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0)) s) (forall (t : Set.{u1} α), (P t) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toHasAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (Inter.inter.{u1} (Set.{u1} α) (Set.hasInter.{u1} α) t s)) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (SDiff.sdiff.{u1} (Set.{u1} α) (BooleanAlgebra.toHasSdiff.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)) t s))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) t))))
+but is expected to have type
+  forall {α : Type.{u1}} {P : (Set.{u1} α) -> Prop} {m : forall (s : Set.{u1} α), (P s) -> ENNReal} {P0 : P (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α))} {m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) P0) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))} (PU : forall {{f : Nat -> (Set.{u1} α)}}, (forall (i : Nat), P (f i)) -> (P (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), P (f i)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (PU (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i)))) -> (forall {{s₁ : Set.{u1} α}} {{s₂ : Set.{u1} α}} (hs₁ : P s₁) (hs₂ : P s₂), (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (m s₁ hs₁) (m s₂ hs₂))) -> (forall (s : Set.{u1} α), Iff (MeasurableSet.{u1} α (MeasureTheory.OuterMeasure.caratheodory.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0)) s) (forall (t : Set.{u1} α), (P t) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (HAdd.hAdd.{0, 0, 0} ENNReal ENNReal ENNReal (instHAdd.{0} ENNReal (Distrib.toAdd.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal)))))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (Inter.inter.{u1} (Set.{u1} α) (Set.instInterSet.{u1} α) t s)) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) (SDiff.sdiff.{u1} (Set.{u1} α) (Set.instSDiffSet.{u1} α) t s))) (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => P s) m P0 m0) t))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_caratheodory MeasureTheory.inducedOuterMeasure_caratheodoryₓ'. -/
 /-- To test whether `s` is Carathéodory-measurable we only need to check the sets `t` for which
   `P t` holds. See `of_function_caratheodory` for another way to show the Carathéodory-measurability
   of `s`.
@@ -1563,6 +2447,12 @@ variable
 
 include m0 mU
 
+/- warning: measure_theory.extend_mono -> MeasureTheory.extend_mono is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> ENNReal}, (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) (MeasurableSet.empty.{u1} α _inst_1)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), MeasurableSet.{u1} α _inst_1 (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) f)) -> (Eq.{1} ENNReal (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (MeasurableSet.unionᵢ.{u1, 1} α Nat _inst_1 Nat.countable (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (MeasurableSet.{u1} α _inst_1 s₁) -> (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m s₁) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m s₂)))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> ENNReal}, (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) (MeasurableSet.empty.{u1} α _inst_1)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), MeasurableSet.{u1} α _inst_1 (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) f)) -> (Eq.{1} ENNReal (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (MeasurableSet.unionᵢ.{u1, 1} α Nat _inst_1 instCountableNat (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {s₁ : Set.{u1} α} {s₂ : Set.{u1} α}, (MeasurableSet.{u1} α _inst_1 s₁) -> (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s₁ s₂) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m s₁) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m s₂)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.extend_mono MeasureTheory.extend_monoₓ'. -/
 theorem extend_mono {s₁ s₂ : Set α} (h₁ : MeasurableSet s₁) (hs : s₁ ⊆ s₂) :
     extend m s₁ ≤ extend m s₂ := by
   refine' le_infᵢ _; intro h₂
@@ -1574,6 +2464,12 @@ theorem extend_mono {s₁ s₂ : Set α} (h₁ : MeasurableSet s₁) (hs : s₁
   exact le_iff_exists_add.2 ⟨_, this⟩
 #align measure_theory.extend_mono MeasureTheory.extend_mono
 
+/- warning: measure_theory.extend_Union_le_tsum_nat -> MeasureTheory.extend_unionᵢ_le_tsum_nat is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> ENNReal}, (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) (MeasurableSet.empty.{u1} α _inst_1)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), MeasurableSet.{u1} α _inst_1 (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) f)) -> (Eq.{1} ENNReal (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (MeasurableSet.unionᵢ.{u1, 1} α Nat _inst_1 Nat.countable (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m (s i))))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> ENNReal}, (Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) (MeasurableSet.empty.{u1} α _inst_1)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), MeasurableSet.{u1} α _inst_1 (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) f)) -> (Eq.{1} ENNReal (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (MeasurableSet.unionᵢ.{u1, 1} α Nat _inst_1 instCountableNat (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall (s : Nat -> (Set.{u1} α)), LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => s i))) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m (s i))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.extend_Union_le_tsum_nat MeasureTheory.extend_unionᵢ_le_tsum_natₓ'. -/
 theorem extend_unionᵢ_le_tsum_nat : ∀ s : ℕ → Set α, extend m (⋃ i, s i) ≤ ∑' i, extend m (s i) :=
   by
   refine' extend_Union_le_tsum_nat' MeasurableSet.unionᵢ _; intro f h
@@ -1584,11 +2480,23 @@ theorem extend_unionᵢ_le_tsum_nat : ∀ s : ℕ → Set α, extend m (⋃ i, s
   exact extend_mono m0 mU (MeasurableSet.disjointed h _) (disjointed_le f _)
 #align measure_theory.extend_Union_le_tsum_nat MeasureTheory.extend_unionᵢ_le_tsum_nat
 
+/- warning: measure_theory.induced_outer_measure_eq_extend -> MeasureTheory.inducedOuterMeasure_eq_extend is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> ENNReal} (m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) (MeasurableSet.empty.{u1} α _inst_1)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), MeasurableSet.{u1} α _inst_1 (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) f)) -> (Eq.{1} ENNReal (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (MeasurableSet.unionᵢ.{u1, 1} α Nat _inst_1 Nat.countable (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {s : Set.{u1} α}, (MeasurableSet.{u1} α _inst_1 s) -> (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m (MeasurableSet.empty.{u1} α _inst_1) m0) s) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m s)))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> ENNReal} (m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) (MeasurableSet.empty.{u1} α _inst_1)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), MeasurableSet.{u1} α _inst_1 (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) f)) -> (Eq.{1} ENNReal (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (MeasurableSet.unionᵢ.{u1, 1} α Nat _inst_1 instCountableNat (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {s : Set.{u1} α}, (MeasurableSet.{u1} α _inst_1 s) -> (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m (MeasurableSet.empty.{u1} α _inst_1) m0) s) (MeasureTheory.extend.{u1} (Set.{u1} α) (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m s)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_eq_extend MeasureTheory.inducedOuterMeasure_eq_extendₓ'. -/
 theorem inducedOuterMeasure_eq_extend {s : Set α} (hs : MeasurableSet s) :
     inducedOuterMeasure m MeasurableSet.empty m0 s = extend m s :=
   ofFunction_eq s (fun t => extend_mono m0 mU hs) (extend_unionᵢ_le_tsum_nat m0 mU)
 #align measure_theory.induced_outer_measure_eq_extend MeasureTheory.inducedOuterMeasure_eq_extend
 
+/- warning: measure_theory.induced_outer_measure_eq -> MeasureTheory.inducedOuterMeasure_eq is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> ENNReal} (m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.hasEmptyc.{u1} α)) (MeasurableSet.empty.{u1} α _inst_1)) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), MeasurableSet.{u1} α _inst_1 (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} α) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} α) (Set.booleanAlgebra.{u1} α)))) f)) -> (Eq.{1} ENNReal (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (MeasurableSet.unionᵢ.{u1, 1} α Nat _inst_1 Nat.countable (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (OrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (OrderedSemiring.toOrderedAddCommMonoid.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))) ENNReal.topologicalSpace Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {s : Set.{u1} α} (hs : MeasurableSet.{u1} α _inst_1 s), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m (MeasurableSet.empty.{u1} α _inst_1) m0) s) (m s hs))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> ENNReal} (m0 : Eq.{1} ENNReal (m (EmptyCollection.emptyCollection.{u1} (Set.{u1} α) (Set.instEmptyCollectionSet.{u1} α)) (MeasurableSet.empty.{u1} α _inst_1)) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))), (forall {{f : Nat -> (Set.{u1} α)}} (hm : forall (i : Nat), MeasurableSet.{u1} α _inst_1 (f i)), (Pairwise.{0} Nat (Function.onFun.{1, succ u1, 1} Nat (Set.{u1} α) Prop (Disjoint.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} α) (Preorder.toLE.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.instCompleteBooleanAlgebraSet.{u1} α))))))) f)) -> (Eq.{1} ENNReal (m (Set.unionᵢ.{u1, 1} α Nat (fun (i : Nat) => f i)) (MeasurableSet.unionᵢ.{u1, 1} α Nat _inst_1 instCountableNat (fun (i : Nat) => f i) hm)) (tsum.{0, 0} ENNReal (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} ENNReal (LinearOrderedAddCommMonoidWithTop.toLinearOrderedAddCommMonoid.{0} ENNReal ENNReal.instLinearOrderedAddCommMonoidWithTopENNReal)) ENNReal.instTopologicalSpaceENNReal Nat (fun (i : Nat) => m (f i) (hm i))))) -> (forall {s : Set.{u1} α} (hs : MeasurableSet.{u1} α _inst_1 s), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.inducedOuterMeasure.{u1} α (fun (s : Set.{u1} α) => MeasurableSet.{u1} α _inst_1 s) m (MeasurableSet.empty.{u1} α _inst_1) m0) s) (m s hs))
+Case conversion may be inaccurate. Consider using '#align measure_theory.induced_outer_measure_eq MeasureTheory.inducedOuterMeasure_eqₓ'. -/
 theorem inducedOuterMeasure_eq {s : Set α} (hs : MeasurableSet s) :
     inducedOuterMeasure m MeasurableSet.empty m0 s = m s hs :=
   (inducedOuterMeasure_eq_extend m0 mU hs).trans <| extend_eq _ _
@@ -1600,21 +2508,28 @@ namespace OuterMeasure
 
 variable {α : Type _} [MeasurableSpace α] (m : OuterMeasure α)
 
+#print MeasureTheory.OuterMeasure.trim /-
 /-- Given an outer measure `m` we can forget its value on non-measurable sets, and then consider
   `m.trim`, the unique maximal outer measure less than that function. -/
 def trim : OuterMeasure α :=
   inducedOuterMeasure (fun s _ => m s) MeasurableSet.empty m.Empty
 #align measure_theory.outer_measure.trim MeasureTheory.OuterMeasure.trim
+-/
 
+#print MeasureTheory.OuterMeasure.le_trim /-
 theorem le_trim : m ≤ m.trim :=
   le_ofFunction.mpr fun s => le_infᵢ fun _ => le_rfl
 #align measure_theory.outer_measure.le_trim MeasureTheory.OuterMeasure.le_trim
+-/
 
+#print MeasureTheory.OuterMeasure.trim_eq /-
 theorem trim_eq {s : Set α} (hs : MeasurableSet s) : m.trim s = m s :=
   inducedOuterMeasure_eq' MeasurableSet.unionᵢ (fun f hf => m.unionᵢ_nat f)
     (fun _ _ _ _ h => m.mono h) hs
 #align measure_theory.outer_measure.trim_eq MeasureTheory.OuterMeasure.trim_eq
+-/
 
+#print MeasureTheory.OuterMeasure.trim_congr /-
 theorem trim_congr {m₁ m₂ : OuterMeasure α} (H : ∀ {s : Set α}, MeasurableSet s → m₁ s = m₂ s) :
     m₁.trim = m₂.trim := by
   unfold trim
@@ -1622,26 +2537,49 @@ theorem trim_congr {m₁ m₂ : OuterMeasure α} (H : ∀ {s : Set α}, Measurab
   funext s hs
   exact H hs
 #align measure_theory.outer_measure.trim_congr MeasureTheory.OuterMeasure.trim_congr
+-/
 
+#print MeasureTheory.OuterMeasure.trim_mono /-
 @[mono]
 theorem trim_mono : Monotone (trim : OuterMeasure α → OuterMeasure α) := fun m₁ m₂ H s =>
   infᵢ₂_mono fun f hs => ENNReal.tsum_le_tsum fun b => infᵢ_mono fun hf => H _
 #align measure_theory.outer_measure.trim_mono MeasureTheory.OuterMeasure.trim_mono
+-/
 
+/- warning: measure_theory.outer_measure.le_trim_iff -> MeasureTheory.OuterMeasure.le_trim_iff is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m₁ : MeasureTheory.OuterMeasure.{u1} α} {m₂ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) m₁ (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m₂)) (forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m₁ s) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m₂ s)))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m₁ : MeasureTheory.OuterMeasure.{u1} α} {m₂ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) m₁ (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m₂)) (forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m₁ s) (MeasureTheory.OuterMeasure.measureOf.{u1} α m₂ s)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.le_trim_iff MeasureTheory.OuterMeasure.le_trim_iffₓ'. -/
 theorem le_trim_iff {m₁ m₂ : OuterMeasure α} : m₁ ≤ m₂.trim ↔ ∀ s, MeasurableSet s → m₁ s ≤ m₂ s :=
   le_ofFunction.trans <| forall_congr' fun s => le_infᵢ_iff
 #align measure_theory.outer_measure.le_trim_iff MeasureTheory.OuterMeasure.le_trim_iff
 
+/- warning: measure_theory.outer_measure.trim_le_trim_iff -> MeasureTheory.OuterMeasure.trim_le_trim_iff is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m₁ : MeasureTheory.OuterMeasure.{u1} α} {m₂ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m₁) (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m₂)) (forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (CompleteSemilatticeInf.toPartialOrder.{0} ENNReal (CompleteLattice.toCompleteSemilatticeInf.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))))) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m₁ s) (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m₂ s)))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m₁ : MeasureTheory.OuterMeasure.{u1} α} {m₂ : MeasureTheory.OuterMeasure.{u1} α}, Iff (LE.le.{u1} (MeasureTheory.OuterMeasure.{u1} α) (Preorder.toLE.{u1} (MeasureTheory.OuterMeasure.{u1} α) (PartialOrder.toPreorder.{u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instPartialOrder.{u1} α))) (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m₁) (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m₂)) (forall (s : Set.{u1} α), (MeasurableSet.{u1} α _inst_1 s) -> (LE.le.{0} ENNReal (Preorder.toLE.{0} ENNReal (PartialOrder.toPreorder.{0} ENNReal (OmegaCompletePartialOrder.toPartialOrder.{0} ENNReal (CompleteLattice.instOmegaCompletePartialOrder.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal))))) (MeasureTheory.OuterMeasure.measureOf.{u1} α m₁ s) (MeasureTheory.OuterMeasure.measureOf.{u1} α m₂ s)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.trim_le_trim_iff MeasureTheory.OuterMeasure.trim_le_trim_iffₓ'. -/
 theorem trim_le_trim_iff {m₁ m₂ : OuterMeasure α} :
     m₁.trim ≤ m₂.trim ↔ ∀ s, MeasurableSet s → m₁ s ≤ m₂ s :=
   le_trim_iff.trans <| forall₂_congr fun s hs => by rw [trim_eq _ hs]
 #align measure_theory.outer_measure.trim_le_trim_iff MeasureTheory.OuterMeasure.trim_le_trim_iff
 
+#print MeasureTheory.OuterMeasure.trim_eq_trim_iff /-
 theorem trim_eq_trim_iff {m₁ m₂ : OuterMeasure α} :
     m₁.trim = m₂.trim ↔ ∀ s, MeasurableSet s → m₁ s = m₂ s := by
   simp only [le_antisymm_iff, trim_le_trim_iff, forall_and]
 #align measure_theory.outer_measure.trim_eq_trim_iff MeasureTheory.OuterMeasure.trim_eq_trim_iff
+-/
 
+/- warning: measure_theory.outer_measure.trim_eq_infi -> MeasureTheory.OuterMeasure.trim_eq_infᵢ is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Set.{u1} α) (fun (t : Set.{u1} α) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (fun (st : HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (MeasurableSet.{u1} α _inst_1 t) (fun (ht : MeasurableSet.{u1} α _inst_1 t) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m t))))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Set.{u1} α) (fun (t : Set.{u1} α) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) (fun (st : HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) => infᵢ.{0, 0} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (MeasurableSet.{u1} α _inst_1 t) (fun (ht : MeasurableSet.{u1} α _inst_1 t) => MeasureTheory.OuterMeasure.measureOf.{u1} α m t))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.trim_eq_infi MeasureTheory.OuterMeasure.trim_eq_infᵢₓ'. -/
 theorem trim_eq_infᵢ (s : Set α) : m.trim s = ⨅ (t) (st : s ⊆ t) (ht : MeasurableSet t), m t :=
   by
   simp (config := { singlePass := true }) only [infᵢ_comm]
@@ -1650,14 +2588,23 @@ theorem trim_eq_infᵢ (s : Set α) : m.trim s = ⨅ (t) (st : s ⊆ t) (ht : Me
       (fun _ _ _ _ h => m.mono h) s
 #align measure_theory.outer_measure.trim_eq_infi MeasureTheory.OuterMeasure.trim_eq_infᵢ
 
-theorem trim_eq_infi' (s : Set α) : m.trim s = ⨅ t : { t // s ⊆ t ∧ MeasurableSet t }, m t := by
+/- warning: measure_theory.outer_measure.trim_eq_infi' -> MeasureTheory.OuterMeasure.trim_eq_infᵢ' is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toHasInf.{0} ENNReal (CompleteLattice.toConditionallyCompleteLattice.{0} ENNReal (CompleteLinearOrder.toCompleteLattice.{0} ENNReal ENNReal.completeLinearOrder))) (Subtype.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (MeasurableSet.{u1} α _inst_1 t))) (fun (t : Subtype.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (MeasurableSet.{u1} α _inst_1 t))) => coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Subtype.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (MeasurableSet.{u1} α _inst_1 t))) (Set.{u1} α) (HasLiftT.mk.{succ u1, succ u1} (Subtype.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (MeasurableSet.{u1} α _inst_1 t))) (Set.{u1} α) (CoeTCₓ.coe.{succ u1, succ u1} (Subtype.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (MeasurableSet.{u1} α _inst_1 t))) (Set.{u1} α) (coeBase.{succ u1, succ u1} (Subtype.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (MeasurableSet.{u1} α _inst_1 t))) (Set.{u1} α) (coeSubtype.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (MeasurableSet.{u1} α _inst_1 t)))))) t)))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] (m : MeasureTheory.OuterMeasure.{u1} α) (s : Set.{u1} α), Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m) s) (infᵢ.{0, succ u1} ENNReal (ConditionallyCompleteLattice.toInfSet.{0} ENNReal (ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice.{0} ENNReal (ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder.{0} ENNReal (CompleteLinearOrder.toConditionallyCompleteLinearOrderBot.{0} ENNReal ENNReal.instCompleteLinearOrderENNReal)))) (Subtype.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) (MeasurableSet.{u1} α _inst_1 t))) (fun (t : Subtype.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) (MeasurableSet.{u1} α _inst_1 t))) => MeasureTheory.OuterMeasure.measureOf.{u1} α m (Subtype.val.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) (MeasurableSet.{u1} α _inst_1 t)) t)))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.trim_eq_infi' MeasureTheory.OuterMeasure.trim_eq_infᵢ'ₓ'. -/
+theorem trim_eq_infᵢ' (s : Set α) : m.trim s = ⨅ t : { t // s ⊆ t ∧ MeasurableSet t }, m t := by
   simp [infᵢ_subtype, infᵢ_and, trim_eq_infi]
-#align measure_theory.outer_measure.trim_eq_infi' MeasureTheory.OuterMeasure.trim_eq_infi'
+#align measure_theory.outer_measure.trim_eq_infi' MeasureTheory.OuterMeasure.trim_eq_infᵢ'
 
+#print MeasureTheory.OuterMeasure.trim_trim /-
 theorem trim_trim (m : OuterMeasure α) : m.trim.trim = m.trim :=
   trim_eq_trim_iff.2 fun s => m.trim_eq
 #align measure_theory.outer_measure.trim_trim MeasureTheory.OuterMeasure.trim_trim
+-/
 
+#print MeasureTheory.OuterMeasure.trim_zero /-
 @[simp]
 theorem trim_zero : (0 : OuterMeasure α).trim = 0 :=
   ext fun s =>
@@ -1665,14 +2612,18 @@ theorem trim_zero : (0 : OuterMeasure α).trim = 0 :=
       (le_trans ((trim 0).mono (subset_univ s)) <| le_of_eq <| trim_eq _ MeasurableSet.univ)
       (zero_le _)
 #align measure_theory.outer_measure.trim_zero MeasureTheory.OuterMeasure.trim_zero
+-/
 
+#print MeasureTheory.OuterMeasure.trim_sum_ge /-
 theorem trim_sum_ge {ι} (m : ι → OuterMeasure α) : (sum fun i => (m i).trim) ≤ (sum m).trim :=
   fun s => by
   simp [trim_eq_infi] <;>
     exact fun t st ht =>
       ENNReal.tsum_le_tsum fun i => infᵢ_le_of_le t <| infᵢ_le_of_le st <| infᵢ_le _ ht
 #align measure_theory.outer_measure.trim_sum_ge MeasureTheory.OuterMeasure.trim_sum_ge
+-/
 
+#print MeasureTheory.OuterMeasure.exists_measurable_superset_eq_trim /-
 theorem exists_measurable_superset_eq_trim (m : OuterMeasure α) (s : Set α) :
     ∃ t, s ⊆ t ∧ MeasurableSet t ∧ m t = m.trim s :=
   by
@@ -1701,7 +2652,14 @@ theorem exists_measurable_superset_eq_trim (m : OuterMeasure α) (s : Set α) :
       refine' infᵢ_le_of_le (subset_Inter hsub) _
       refine' infᵢ_le _ (MeasurableSet.interᵢ hm)
 #align measure_theory.outer_measure.exists_measurable_superset_eq_trim MeasureTheory.OuterMeasure.exists_measurable_superset_eq_trim
+-/
 
+/- warning: measure_theory.outer_measure.exists_measurable_superset_of_trim_eq_zero -> MeasureTheory.OuterMeasure.exists_measurable_superset_of_trim_eq_zero is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : MeasureTheory.OuterMeasure.{u1} α} {s : Set.{u1} α}, (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m) s) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))) -> (Exists.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.hasSubset.{u1} α) s t) (And (MeasurableSet.{u1} α _inst_1 t) (Eq.{1} ENNReal (coeFn.{succ u1, succ u1} (MeasureTheory.OuterMeasure.{u1} α) (fun (_x : MeasureTheory.OuterMeasure.{u1} α) => (Set.{u1} α) -> ENNReal) (MeasureTheory.OuterMeasure.instCoeFun.{u1} α) m t) (OfNat.ofNat.{0} ENNReal 0 (OfNat.mk.{0} ENNReal 0 (Zero.zero.{0} ENNReal ENNReal.hasZero)))))))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {m : MeasureTheory.OuterMeasure.{u1} α} {s : Set.{u1} α}, (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m) s) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))) -> (Exists.{succ u1} (Set.{u1} α) (fun (t : Set.{u1} α) => And (HasSubset.Subset.{u1} (Set.{u1} α) (Set.instHasSubsetSet.{u1} α) s t) (And (MeasurableSet.{u1} α _inst_1 t) (Eq.{1} ENNReal (MeasureTheory.OuterMeasure.measureOf.{u1} α m t) (OfNat.ofNat.{0} ENNReal 0 (Zero.toOfNat0.{0} ENNReal instENNRealZero))))))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.exists_measurable_superset_of_trim_eq_zero MeasureTheory.OuterMeasure.exists_measurable_superset_of_trim_eq_zeroₓ'. -/
 theorem exists_measurable_superset_of_trim_eq_zero {m : OuterMeasure α} {s : Set α}
     (h : m.trim s = 0) : ∃ t, s ⊆ t ∧ MeasurableSet t ∧ m t = 0 :=
   by
@@ -1709,6 +2667,7 @@ theorem exists_measurable_superset_of_trim_eq_zero {m : OuterMeasure α} {s : Se
   exact ⟨t, hst, ht, h ▸ hm⟩
 #align measure_theory.outer_measure.exists_measurable_superset_of_trim_eq_zero MeasureTheory.OuterMeasure.exists_measurable_superset_of_trim_eq_zero
 
+#print MeasureTheory.OuterMeasure.exists_measurable_superset_forall_eq_trim /-
 /-- If `μ i` is a countable family of outer measures, then for every set `s` there exists
 a measurable set `t ⊇ s` such that `μ i t = (μ i).trim s` for all `i`. -/
 theorem exists_measurable_superset_forall_eq_trim {ι} [Countable ι] (μ : ι → OuterMeasure α)
@@ -1720,7 +2679,9 @@ theorem exists_measurable_superset_forall_eq_trim {ι} [Countable ι] (μ : ι 
   refine' ⟨⋂ i, t i, hst, ht, fun i => le_antisymm _ _⟩
   exacts[hμt i ▸ (μ i).mono (Inter_subset _ _), (mono' _ hst).trans_eq ((μ i).trim_eq ht)]
 #align measure_theory.outer_measure.exists_measurable_superset_forall_eq_trim MeasureTheory.OuterMeasure.exists_measurable_superset_forall_eq_trim
+-/
 
+#print MeasureTheory.OuterMeasure.trim_binop /-
 /-- If `m₁ s = op (m₂ s) (m₃ s)` for all `s`, then the same is true for `m₁.trim`, `m₂.trim`,
 and `m₃ s`. -/
 theorem trim_binop {m₁ m₂ m₃ : OuterMeasure α} {op : ℝ≥0∞ → ℝ≥0∞ → ℝ≥0∞}
@@ -1730,29 +2691,43 @@ theorem trim_binop {m₁ m₂ m₃ : OuterMeasure α} {op : ℝ≥0∞ → ℝ
   simp only [Fin.forall_fin_succ, Matrix.cons_val_zero, Matrix.cons_val_succ] at htm
   rw [← htm.1, ← htm.2.1, ← htm.2.2.1, h]
 #align measure_theory.outer_measure.trim_binop MeasureTheory.OuterMeasure.trim_binop
+-/
 
+#print MeasureTheory.OuterMeasure.trim_op /-
 /-- If `m₁ s = op (m₂ s)` for all `s`, then the same is true for `m₁.trim` and `m₂.trim`. -/
 theorem trim_op {m₁ m₂ : OuterMeasure α} {op : ℝ≥0∞ → ℝ≥0∞} (h : ∀ s, m₁ s = op (m₂ s))
     (s : Set α) : m₁.trim s = op (m₂.trim s) :=
   @trim_binop α _ m₁ m₂ 0 (fun a b => op a) h s
 #align measure_theory.outer_measure.trim_op MeasureTheory.OuterMeasure.trim_op
+-/
 
+#print MeasureTheory.OuterMeasure.trim_add /-
 /-- `trim` is additive. -/
 theorem trim_add (m₁ m₂ : OuterMeasure α) : (m₁ + m₂).trim = m₁.trim + m₂.trim :=
   ext <| trim_binop (add_apply m₁ m₂)
 #align measure_theory.outer_measure.trim_add MeasureTheory.OuterMeasure.trim_add
+-/
 
+/- warning: measure_theory.outer_measure.trim_smul -> MeasureTheory.OuterMeasure.trim_smul is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {R : Type.{u2}} [_inst_2 : SMul.{u2, 0} R ENNReal] [_inst_3 : IsScalarTower.{u2, 0, 0} R ENNReal ENNReal _inst_2 (Mul.toSMul.{0} ENNReal (Distrib.toHasMul.{0} ENNReal (NonUnitalNonAssocSemiring.toDistrib.{0} ENNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENNReal (Semiring.toNonAssocSemiring.{0} ENNReal (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.canonicallyOrderedCommSemiring)))))))) _inst_2] (c : R) (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 (SMul.smul.{u2, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.hasSmul.{u1, u2} α R _inst_2 _inst_3) c m)) (SMul.smul.{u2, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.hasSmul.{u1, u2} α R _inst_2 _inst_3) c (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} α] {R : Type.{u2}} [_inst_2 : SMul.{u2, 0} R ENNReal] [_inst_3 : IsScalarTower.{u2, 0, 0} R ENNReal ENNReal _inst_2 (Algebra.toSMul.{0, 0} ENNReal ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal) (OrderedSemiring.toSemiring.{0} ENNReal (OrderedCommSemiring.toOrderedSemiring.{0} ENNReal (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) (Algebra.id.{0} ENNReal (CanonicallyOrderedCommSemiring.toCommSemiring.{0} ENNReal ENNReal.instCanonicallyOrderedCommSemiringENNReal))) _inst_2] (c : R) (m : MeasureTheory.OuterMeasure.{u1} α), Eq.{succ u1} (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 (HSMul.hSMul.{u2, u1, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (instHSMul.{u2, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSMul.{u1, u2} α R _inst_2 _inst_3)) c m)) (HSMul.hSMul.{u2, u1, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.{u1} α) (instHSMul.{u2, u1} R (MeasureTheory.OuterMeasure.{u1} α) (MeasureTheory.OuterMeasure.instSMul.{u1, u2} α R _inst_2 _inst_3)) c (MeasureTheory.OuterMeasure.trim.{u1} α _inst_1 m))
+Case conversion may be inaccurate. Consider using '#align measure_theory.outer_measure.trim_smul MeasureTheory.OuterMeasure.trim_smulₓ'. -/
 /-- `trim` respects scalar multiplication. -/
 theorem trim_smul {R : Type _} [SMul R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞] (c : R)
     (m : OuterMeasure α) : (c • m).trim = c • m.trim :=
   ext <| trim_op (smul_apply c m)
 #align measure_theory.outer_measure.trim_smul MeasureTheory.OuterMeasure.trim_smul
 
+#print MeasureTheory.OuterMeasure.trim_sup /-
 /-- `trim` sends the supremum of two outer measures to the supremum of the trimmed measures. -/
 theorem trim_sup (m₁ m₂ : OuterMeasure α) : (m₁ ⊔ m₂).trim = m₁.trim ⊔ m₂.trim :=
   ext fun s => (trim_binop (sup_apply m₁ m₂) s).trans (sup_apply _ _ _).symm
 #align measure_theory.outer_measure.trim_sup MeasureTheory.OuterMeasure.trim_sup
+-/
 
+#print MeasureTheory.OuterMeasure.trim_supᵢ /-
 /-- `trim` sends the supremum of a countable family of outer measures to the supremum
 of the trimmed measures. -/
 theorem trim_supᵢ {ι} [Countable ι] (μ : ι → OuterMeasure α) : trim (⨆ i, μ i) = ⨆ i, trim (μ i) :=
@@ -1766,7 +2741,9 @@ theorem trim_supᵢ {ι} [Countable ι] (μ : ι → OuterMeasure α) : trim (
   simp only [Option.forall, Option.elim'] at hμt
   simp only [supᵢ_apply, ← hμt.1, ← hμt.2]
 #align measure_theory.outer_measure.trim_supr MeasureTheory.OuterMeasure.trim_supᵢ
+-/
 
+#print MeasureTheory.OuterMeasure.restrict_trim /-
 /-- The trimmed property of a measure μ states that `μ.to_outer_measure.trim = μ.to_outer_measure`.
 This theorem shows that a restricted trimmed outer measure is a trimmed outer measure. -/
 theorem restrict_trim {μ : OuterMeasure α} {s : Set α} (hs : MeasurableSet s) :
@@ -1784,6 +2761,7 @@ theorem restrict_trim {μ : OuterMeasure α} {s : Set α} (hs : MeasurableSet s)
   · rw [restrict_apply, trim_eq _ (ht.inter hs), restrict_apply]
     exact le_rfl
 #align measure_theory.outer_measure.restrict_trim MeasureTheory.OuterMeasure.restrict_trim
+-/
 
 end OuterMeasure
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/0148d455199ed64bf8eb2f493a1e7eb9211ce170

@@ -682,7 +682,7 @@ protected def ofFunction : OuterMeasure α :=
           Union_subset fun i =>
             subset.trans (hf i).1 <|
               Union_subset fun j =>
-                subset.trans (by simp) <| subset_Union _ <| Nat.mkpairEquiv (i, j) }
+                subset.trans (by simp) <| subset_Union _ <| Nat.pairEquiv (i, j) }
 #align measure_theory.outer_measure.of_function MeasureTheory.OuterMeasure.ofFunction
 
 theorem ofFunction_apply (s : Set α) :

mathlib commit https://github.com/leanprover-community/mathlib/commit/3180fab693e2cee3bff62675571264cb8778b212

@@ -298,7 +298,7 @@ variable [SMul R' ℝ≥0∞] [IsScalarTower R' ℝ≥0∞ ℝ≥0∞]
 instance : SMul R (OuterMeasure α) :=
   ⟨fun c m =>
     { measureOf := fun s => c • m s
-      Empty := by rw [← smul_one_mul c (_ : ℝ≥0∞), empty', mul_zero]
+      Empty := by rw [← smul_one_mul c (_ : ℝ≥0∞), empty', MulZeroClass.mul_zero]
       mono := fun s t h => by
         rw [← smul_one_mul c (m s), ← smul_one_mul c (m t)]
         exact ENNReal.mul_left_mono (m.mono h)

mathlib commit https://github.com/leanprover-community/mathlib/commit/4c586d291f189eecb9d00581aeb3dd998ac34442

@@ -149,7 +149,7 @@ protected theorem union (m : OuterMeasure α) (s₁ s₂ : Set α) : m (s₁ ∪
   rel_sup_add m m.Empty (· ≤ ·) m.unionᵢ_nat s₁ s₂
 #align measure_theory.outer_measure.union MeasureTheory.OuterMeasure.union
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:628:2: warning: expanding binder collection (t «expr ⊆ » s) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (t «expr ⊆ » s) -/
 /-- If a set has zero measure in a neighborhood of each of its points, then it has zero measure
 in a second-countable space. -/
 theorem null_of_locally_null [TopologicalSpace α] [SecondCountableTopology α] (m : OuterMeasure α)
@@ -183,7 +183,7 @@ theorem unionᵢ_of_tendsto_zero {ι} (m : OuterMeasure α) {s : ι → Set α}
   have A : ∀ k, m S ≤ M + m (S \ s k) := fun k =>
     calc
       m S = m (s k ∪ S \ s k) := by rw [union_diff_self, union_eq_self_of_subset_left hsS]
-      _ ≤ m (s k) + m (S \ s k) := m.union _ _
+      _ ≤ m (s k) + m (S \ s k) := (m.union _ _)
       _ ≤ M + m (S \ s k) := add_le_add_right (le_supᵢ _ k) _
       
   have B : tendsto (fun k => M + m (S \ s k)) l (𝓝 (M + 0)) := tendsto_const_nhds.add h0
@@ -225,7 +225,7 @@ theorem diff_null (m : OuterMeasure α) (s : Set α) {t : Set α} (ht : m t = 0)
   refine' le_antisymm (m.mono <| diff_subset _ _) _
   calc
     m s ≤ m (s ∩ t) + m (s \ t) := le_inter_add_diff _
-    _ ≤ m t + m (s \ t) := add_le_add_right (m.mono <| inter_subset_right _ _) _
+    _ ≤ m t + m (s \ t) := (add_le_add_right (m.mono <| inter_subset_right _ _) _)
     _ = m (s \ t) := by rw [ht, zero_add]
     
 #align measure_theory.outer_measure.diff_null MeasureTheory.OuterMeasure.diff_null
@@ -723,7 +723,7 @@ theorem ofFunction_eq_supₛ : OuterMeasure.ofFunction m m_empty = supₛ { μ |
   (@isGreatest_ofFunction α m m_empty).IsLUB.supₛ_eq.symm
 #align measure_theory.outer_measure.of_function_eq_Sup MeasureTheory.OuterMeasure.ofFunction_eq_supₛ
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:628:2: warning: expanding binder collection (u «expr ⊆ » «expr ∪ »(s, t)) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (u «expr ⊆ » «expr ∪ »(s, t)) -/
 /-- If `m u = ∞` for any set `u` that has nonempty intersection both with `s` and `t`, then
 `μ (s ∪ t) = μ s + μ t`, where `μ = measure_theory.outer_measure.of_function m m_empty`.
 
@@ -761,8 +761,8 @@ theorem ofFunction_union_of_top_of_nonempty_inter {s t : Set α}
       (@tsum_union_disjoint _ _ _ _ _ (fun i => μ (f i)) _ _ _ hd ENNReal.summable
           ENNReal.summable).symm
     _ ≤ ∑' i, μ (f i) :=
-      tsum_le_tsum_of_inj coe Subtype.coe_injective (fun _ _ => zero_le _) (fun _ => le_rfl)
-        ENNReal.summable ENNReal.summable
+      (tsum_le_tsum_of_inj coe Subtype.coe_injective (fun _ _ => zero_le _) (fun _ => le_rfl)
+        ENNReal.summable ENNReal.summable)
     _ ≤ ∑' i, m (f i) := ENNReal.tsum_le_tsum fun i => of_function_le _
     
 #align measure_theory.outer_measure.of_function_union_of_top_of_nonempty_inter MeasureTheory.OuterMeasure.ofFunction_union_of_top_of_nonempty_inter

mathlib commit https://github.com/leanprover-community/mathlib/commit/eb0cb4511aaef0da2462207b67358a0e1fe1e2ee

@@ -62,7 +62,7 @@ open Set Function Filter
 
 open TopologicalSpace (SecondCountableTopology)
 
-open Classical BigOperators NNReal Topology Ennreal MeasureTheory
+open Classical BigOperators NNReal Topology ENNReal MeasureTheory
 
 namespace MeasureTheory
 
@@ -198,7 +198,7 @@ theorem unionᵢ_nat_of_monotone_of_tsum_ne_top (m : OuterMeasure α) {s : ℕ 
     m (⋃ n, s n) = ⨆ n, m (s n) :=
   by
   refine' m.Union_of_tendsto_zero at_top _
-  refine' tendsto_nhds_bot_mono' (Ennreal.tendsto_sum_nat_add _ h0) fun n => _
+  refine' tendsto_nhds_bot_mono' (ENNReal.tendsto_sum_nat_add _ h0) fun n => _
   refine' (m.mono _).trans (m.Union _)
   -- Current goal: `(⋃ k, s k) \ s n ⊆ ⋃ k, s (k + n + 1) \ s (k + n)`
   have h' : Monotone s := @monotone_nat_of_le_succ (Set α) _ _ h_mono
@@ -277,7 +277,7 @@ instance : Add (OuterMeasure α) :=
         calc
           m₁ (⋃ i, s i) + m₂ (⋃ i, s i) ≤ (∑' i, m₁ (s i)) + ∑' i, m₂ (s i) :=
             add_le_add (m₁.unionᵢ_nat s) (m₂.unionᵢ_nat s)
-          _ = _ := Ennreal.tsum_add.symm
+          _ = _ := ENNReal.tsum_add.symm
            }⟩
 
 @[simp]
@@ -301,11 +301,11 @@ instance : SMul R (OuterMeasure α) :=
       Empty := by rw [← smul_one_mul c (_ : ℝ≥0∞), empty', mul_zero]
       mono := fun s t h => by
         rw [← smul_one_mul c (m s), ← smul_one_mul c (m t)]
-        exact Ennreal.mul_left_mono (m.mono h)
+        exact ENNReal.mul_left_mono (m.mono h)
       unionᵢ_nat := fun s =>
         by
-        simp_rw [← smul_one_mul c (m _), Ennreal.tsum_mul_left]
-        exact Ennreal.mul_left_mono (m.Union _) }⟩
+        simp_rw [← smul_one_mul c (m _), ENNReal.tsum_mul_left]
+        exact ENNReal.mul_left_mono (m.Union _) }⟩
 
 @[simp]
 theorem coe_smul (c : R) (m : OuterMeasure α) : ⇑(c • m) = c • m :=
@@ -385,7 +385,7 @@ instance : SupSet (OuterMeasure α) :=
           calc
             m (⋃ i, f i) ≤ ∑' i : ℕ, m (f i) := m.unionᵢ_nat _
             _ ≤ ∑' i, ⨆ m ∈ ms, (m : OuterMeasure α) (f i) :=
-              Ennreal.tsum_le_tsum fun i => le_supᵢ₂ m hm
+              ENNReal.tsum_le_tsum fun i => le_supᵢ₂ m hm
              }⟩
 
 instance : CompleteLattice (OuterMeasure α) :=
@@ -418,7 +418,7 @@ theorem smul_supᵢ [SMul R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞]
     (c • ⨆ i, f i) = ⨆ i, c • f i :=
   ext fun s => by
     simp only [smul_apply, supᵢ_apply, ← smul_one_mul c (f _ _), ← smul_one_mul c (supᵢ _),
-      Ennreal.mul_supᵢ]
+      ENNReal.mul_supᵢ]
 #align measure_theory.outer_measure.smul_supr MeasureTheory.OuterMeasure.smul_supᵢ
 
 end Supremum
@@ -490,7 +490,7 @@ def dirac (a : α) : OuterMeasure α
       calc
         indicator (⋃ n, s n) (fun _ => (1 : ℝ≥0∞)) a = 1 := indicator_of_mem hs _
         _ = indicator (s i) (fun _ => 1) a := (indicator_of_mem hi _).symm
-        _ ≤ ∑' n, indicator (s n) (fun _ => 1) a := Ennreal.le_tsum _
+        _ ≤ ∑' n, indicator (s n) (fun _ => 1) a := ENNReal.le_tsum _
         
     else by simp only [indicator_of_not_mem hs, zero_le]
 #align measure_theory.outer_measure.dirac MeasureTheory.OuterMeasure.dirac
@@ -505,9 +505,9 @@ def sum {ι} (f : ι → OuterMeasure α) : OuterMeasure α
     where
   measureOf s := ∑' i, f i s
   Empty := by simp
-  mono s t h := Ennreal.tsum_le_tsum fun i => (f i).mono' h
+  mono s t h := ENNReal.tsum_le_tsum fun i => (f i).mono' h
   unionᵢ_nat s := by
-    rw [Ennreal.tsum_comm] <;> exact Ennreal.tsum_le_tsum fun i => (f i).unionᵢ_nat _
+    rw [ENNReal.tsum_comm] <;> exact ENNReal.tsum_le_tsum fun i => (f i).unionᵢ_nat _
 #align measure_theory.outer_measure.sum MeasureTheory.OuterMeasure.sum
 
 @[simp]
@@ -660,22 +660,22 @@ protected def ofFunction : OuterMeasure α :=
         (zero_le _)
     mono := fun s₁ s₂ hs => infᵢ_mono fun f => infᵢ_mono' fun hb => ⟨hs.trans hb, le_rfl⟩
     unionᵢ_nat := fun s =>
-      Ennreal.le_of_forall_pos_le_add <|
+      ENNReal.le_of_forall_pos_le_add <|
         by
         intro ε hε(hb : (∑' i, μ (s i)) < ∞)
-        rcases Ennreal.exists_pos_sum_of_countable (Ennreal.coe_pos.2 hε).ne' ℕ with ⟨ε', hε', hl⟩
+        rcases ENNReal.exists_pos_sum_of_countable (ENNReal.coe_pos.2 hε).ne' ℕ with ⟨ε', hε', hl⟩
         refine' le_trans _ (add_le_add_left (le_of_lt hl) _)
-        rw [← Ennreal.tsum_add]
+        rw [← ENNReal.tsum_add]
         choose f hf using
           show ∀ i, ∃ f : ℕ → Set α, (s i ⊆ ⋃ i, f i) ∧ (∑' i, m (f i)) < μ (s i) + ε' i
             by
             intro
             have : μ (s i) < μ (s i) + ε' i :=
-              Ennreal.lt_add_right (ne_top_of_le_ne_top hb.ne <| Ennreal.le_tsum _)
+              ENNReal.lt_add_right (ne_top_of_le_ne_top hb.ne <| ENNReal.le_tsum _)
                 (by simpa using (hε' i).ne')
             simpa [μ, infᵢ_lt_iff]
-        refine' le_trans _ (Ennreal.tsum_le_tsum fun i => le_of_lt (hf i).2)
-        rw [← Ennreal.tsum_prod, ← nat.mkpair_equiv.symm.tsum_eq]
+        refine' le_trans _ (ENNReal.tsum_le_tsum fun i => le_of_lt (hf i).2)
+        rw [← ENNReal.tsum_prod, ← nat.mkpair_equiv.symm.tsum_eq]
         swap; · infer_instance
         refine' infᵢ_le_of_le _ (infᵢ_le _ _)
         exact
@@ -711,7 +711,7 @@ theorem le_ofFunction {μ : OuterMeasure α} :
   ⟨fun H s => le_trans (H s) (ofFunction_le s), fun H s =>
     le_infᵢ fun f =>
       le_infᵢ fun hs =>
-        le_trans (μ.mono hs) <| le_trans (μ.unionᵢ f) <| Ennreal.tsum_le_tsum fun i => H _⟩
+        le_trans (μ.mono hs) <| le_trans (μ.unionᵢ f) <| ENNReal.tsum_le_tsum fun i => H _⟩
 #align measure_theory.outer_measure.le_of_function MeasureTheory.OuterMeasure.le_ofFunction
 
 theorem isGreatest_ofFunction :
@@ -742,7 +742,7 @@ theorem ofFunction_union_of_top_of_nonempty_inter {s t : Set α}
     calc
       μ s + μ t ≤ ∞ := le_top
       _ = m (f i) := (h (f i) hs ht).symm
-      _ ≤ ∑' i, m (f i) := Ennreal.le_tsum i
+      _ ≤ ∑' i, m (f i) := ENNReal.le_tsum i
       
   set I := fun s => { i : ℕ | (s ∩ f i).Nonempty }
   have hd : Disjoint (I s) (I t) := disjoint_iff_inf_le.mpr fun i hi => he ⟨i, hi⟩
@@ -758,12 +758,12 @@ theorem ofFunction_union_of_top_of_nonempty_inter {s t : Set α}
     μ s + μ t ≤ (∑' i : I s, μ (f i)) + ∑' i : I t, μ (f i) :=
       add_le_add (hI _ <| subset_union_left _ _) (hI _ <| subset_union_right _ _)
     _ = ∑' i : I s ∪ I t, μ (f i) :=
-      (@tsum_union_disjoint _ _ _ _ _ (fun i => μ (f i)) _ _ _ hd Ennreal.summable
-          Ennreal.summable).symm
+      (@tsum_union_disjoint _ _ _ _ _ (fun i => μ (f i)) _ _ _ hd ENNReal.summable
+          ENNReal.summable).symm
     _ ≤ ∑' i, μ (f i) :=
       tsum_le_tsum_of_inj coe Subtype.coe_injective (fun _ _ => zero_le _) (fun _ => le_rfl)
-        Ennreal.summable Ennreal.summable
-    _ ≤ ∑' i, m (f i) := Ennreal.tsum_le_tsum fun i => of_function_le _
+        ENNReal.summable ENNReal.summable
+    _ ≤ ∑' i, m (f i) := ENNReal.tsum_le_tsum fun i => of_function_le _
     
 #align measure_theory.outer_measure.of_function_union_of_top_of_nonempty_inter MeasureTheory.OuterMeasure.ofFunction_union_of_top_of_nonempty_inter
 
@@ -778,7 +778,7 @@ theorem comap_ofFunction {β} (f : β → α) (h : Monotone m ∨ Surjective f)
     refine' infᵢ_mono' fun t => ⟨fun k => f ⁻¹' t k, _⟩
     refine' infᵢ_mono' fun ht => _
     rw [Set.image_subset_iff, preimage_Union] at ht
-    refine' ⟨ht, Ennreal.tsum_le_tsum fun n => _⟩
+    refine' ⟨ht, ENNReal.tsum_le_tsum fun n => _⟩
     cases h
     exacts[h (image_preimage_subset _ _), (congr_arg m (h.image_preimage (t n))).le]
 #align measure_theory.outer_measure.comap_of_function MeasureTheory.OuterMeasure.comap_ofFunction
@@ -801,7 +801,7 @@ theorem map_ofFunction {β} {f : α → β} (hf : Injective f) :
   refine' infᵢ_le_of_le (fun n => range fᶜ ∪ f '' t n) (infᵢ_le_of_le _ _)
   · rw [← union_Union, ← inter_subset, ← image_preimage_eq_inter_range, ← image_Union]
     exact image_subset _ ht
-  · refine' Ennreal.tsum_le_tsum fun n => le_of_eq _
+  · refine' ENNReal.tsum_le_tsum fun n => le_of_eq _
     simp [hf.preimage_image]
 #align measure_theory.outer_measure.map_of_function MeasureTheory.OuterMeasure.map_ofFunction
 
@@ -818,8 +818,8 @@ theorem smul_ofFunction {c : ℝ≥0∞} (hc : c ≠ ∞) :
   by
   ext1 s
   haveI : Nonempty { t : ℕ → Set α // s ⊆ ⋃ i, t i } := ⟨⟨fun _ => s, subset_Union (fun _ => s) 0⟩⟩
-  simp only [smul_apply, of_function_apply, Ennreal.tsum_mul_left, Pi.smul_apply, smul_eq_mul,
-    infᵢ_subtype', Ennreal.infᵢ_mul_left fun h => (hc h).elim]
+  simp only [smul_apply, of_function_apply, ENNReal.tsum_mul_left, Pi.smul_apply, smul_eq_mul,
+    infᵢ_subtype', ENNReal.infᵢ_mul_left fun h => (hc h).elim]
 #align measure_theory.outer_measure.smul_of_function MeasureTheory.OuterMeasure.smul_ofFunction
 
 end OfFunction
@@ -1002,9 +1002,9 @@ theorem isCaratheodory_unionᵢ_nat {s : ℕ → Set α} (h : ∀ i, is_caratheo
       by
       convert m.Union fun i => t ∩ s i
       · rw [inter_Union]
-      · simp [Ennreal.tsum_eq_supᵢ_nat, is_caratheodory_sum m h hd]
+      · simp [ENNReal.tsum_eq_supᵢ_nat, is_caratheodory_sum m h hd]
     refine' le_trans (add_le_add_right hp _) _
-    rw [Ennreal.supᵢ_add]
+    rw [ENNReal.supᵢ_add]
     refine'
       supᵢ_le fun n =>
         le_trans (add_le_add_left _ _) (ge_of_eq (is_caratheodory_Union_lt m (fun i _ => h i) _))
@@ -1016,7 +1016,7 @@ theorem f_unionᵢ {s : ℕ → Set α} (h : ∀ i, is_caratheodory (s i)) (hd :
     m (⋃ i, s i) = ∑' i, m (s i) :=
   by
   refine' le_antisymm (m.Union_nat s) _
-  rw [Ennreal.tsum_eq_supᵢ_nat]
+  rw [ENNReal.tsum_eq_supᵢ_nat]
   refine' supᵢ_le fun n => _
   have := @is_caratheodory_sum _ m _ h hd univ n
   simp at this; simp [this]
@@ -1073,8 +1073,8 @@ theorem ofFunction_caratheodory {m : Set α → ℝ≥0∞} {s : Set α} {h₀ :
     exact inter_subset_inter_left _ hf
   · rw [← Union_diff]
     exact diff_subset_diff_left hf
-  · rw [← Ennreal.tsum_add]
-    exact Ennreal.tsum_le_tsum fun i => hs _
+  · rw [← ENNReal.tsum_add]
+    exact ENNReal.tsum_le_tsum fun i => hs _
 #align measure_theory.outer_measure.of_function_caratheodory MeasureTheory.OuterMeasure.ofFunction_caratheodory
 
 theorem boundedBy_caratheodory {m : Set α → ℝ≥0∞} {s : Set α}
@@ -1107,7 +1107,7 @@ theorem le_add_caratheodory (m₁ m₂ : OuterMeasure α) :
 
 theorem le_sum_caratheodory {ι} (m : ι → OuterMeasure α) :
     (⨅ i, (m i).caratheodory) ≤ (sum m).caratheodory := fun s h t => by
-  simp [fun i => MeasurableSpace.measurableSet_infᵢ.1 h i t, Ennreal.tsum_add]
+  simp [fun i => MeasurableSpace.measurableSet_infᵢ.1 h i t, ENNReal.tsum_add]
 #align measure_theory.outer_measure.le_sum_caratheodory MeasureTheory.OuterMeasure.le_sum_caratheodory
 
 theorem le_smul_caratheodory (a : ℝ≥0∞) (m : OuterMeasure α) :
@@ -1227,7 +1227,7 @@ theorem comap_infᵢ {ι β} (f : α → β) (m : ι → OuterMeasure β) :
   refine' ((comap_mono f).map_infᵢ_le s).antisymm _
   simp only [comap_apply, infi_apply' _ hs, infi_apply' _ (hs.image _), le_infᵢ_iff,
     Set.image_subset_iff, preimage_Union]
-  refine' fun t ht => infᵢ_le_of_le _ (infᵢ_le_of_le ht <| Ennreal.tsum_le_tsum fun k => _)
+  refine' fun t ht => infᵢ_le_of_le _ (infᵢ_le_of_le ht <| ENNReal.tsum_le_tsum fun k => _)
   exact infᵢ_mono fun i => (m i).mono (image_preimage_subset _ _)
 #align measure_theory.outer_measure.comap_infi MeasureTheory.OuterMeasure.comap_infᵢ
 
@@ -1247,7 +1247,7 @@ theorem map_infᵢ_comap {ι β} [Nonempty ι] {f : α → β} (m : ι → Outer
   · rw [← Union_union, Set.union_comm, ← inter_subset, ← image_Union, ←
       image_preimage_eq_inter_range]
     exact image_subset _ ht
-  · refine' Ennreal.tsum_le_tsum fun n => infᵢ_mono fun i => (m i).mono _
+  · refine' ENNReal.tsum_le_tsum fun n => infᵢ_mono fun i => (m i).mono _
     simp
 #align measure_theory.outer_measure.map_infi_comap MeasureTheory.OuterMeasure.map_infᵢ_comap
 
@@ -1385,7 +1385,7 @@ theorem extend_unionᵢ_le_tsum_nat' (s : ℕ → Set α) : extend m (⋃ i, s i
     funext i
     apply extend_eq _ (h i)
   · cases' not_forall.1 h with i hi
-    exact le_trans (le_infᵢ fun h => hi.elim h) (Ennreal.le_tsum i)
+    exact le_trans (le_infᵢ fun h => hi.elim h) (ENNReal.le_tsum i)
 #align measure_theory.extend_Union_le_tsum_nat' MeasureTheory.extend_unionᵢ_le_tsum_nat'
 
 end Subadditive
@@ -1503,7 +1503,7 @@ theorem inducedOuterMeasure_exists_set {s : Set α} (hs : inducedOuterMeasure m
     ∃ (t : Set α)(ht : P t),
       s ⊆ t ∧ inducedOuterMeasure m P0 m0 t ≤ inducedOuterMeasure m P0 m0 s + ε :=
   by
-  have := Ennreal.lt_add_right hs hε
+  have := ENNReal.lt_add_right hs hε
   conv at this =>
     lhs
     rw [induced_outer_measure_eq_infi _ msU m_mono]
@@ -1579,7 +1579,7 @@ theorem extend_unionᵢ_le_tsum_nat : ∀ s : ℕ → Set α, extend m (⋃ i, s
   refine' extend_Union_le_tsum_nat' MeasurableSet.unionᵢ _; intro f h
   simp (config := { singlePass := true }) [Union_disjointed.symm]
   rw [mU (MeasurableSet.disjointed h) (disjoint_disjointed _)]
-  refine' Ennreal.tsum_le_tsum fun i => _
+  refine' ENNReal.tsum_le_tsum fun i => _
   rw [← extend_eq m, ← extend_eq m]
   exact extend_mono m0 mU (MeasurableSet.disjointed h _) (disjointed_le f _)
 #align measure_theory.extend_Union_le_tsum_nat MeasureTheory.extend_unionᵢ_le_tsum_nat
@@ -1625,7 +1625,7 @@ theorem trim_congr {m₁ m₂ : OuterMeasure α} (H : ∀ {s : Set α}, Measurab
 
 @[mono]
 theorem trim_mono : Monotone (trim : OuterMeasure α → OuterMeasure α) := fun m₁ m₂ H s =>
-  infᵢ₂_mono fun f hs => Ennreal.tsum_le_tsum fun b => infᵢ_mono fun hf => H _
+  infᵢ₂_mono fun f hs => ENNReal.tsum_le_tsum fun b => infᵢ_mono fun hf => H _
 #align measure_theory.outer_measure.trim_mono MeasureTheory.OuterMeasure.trim_mono
 
 theorem le_trim_iff {m₁ m₂ : OuterMeasure α} : m₁ ≤ m₂.trim ↔ ∀ s, MeasurableSet s → m₁ s ≤ m₂ s :=
@@ -1670,7 +1670,7 @@ theorem trim_sum_ge {ι} (m : ι → OuterMeasure α) : (sum fun i => (m i).trim
   fun s => by
   simp [trim_eq_infi] <;>
     exact fun t st ht =>
-      Ennreal.tsum_le_tsum fun i => infᵢ_le_of_le t <| infᵢ_le_of_le st <| infᵢ_le _ ht
+      ENNReal.tsum_le_tsum fun i => infᵢ_le_of_le t <| infᵢ_le_of_le st <| infᵢ_le _ ht
 #align measure_theory.outer_measure.trim_sum_ge MeasureTheory.OuterMeasure.trim_sum_ge
 
 theorem exists_measurable_superset_eq_trim (m : OuterMeasure α) (s : Set α) :
@@ -1688,12 +1688,12 @@ theorem exists_measurable_superset_eq_trim (m : OuterMeasure α) (s : Set α) :
     have : ∀ n : ℕ, ∃ t, s ⊆ t ∧ MeasurableSet t ∧ m t < ms + n⁻¹ :=
       by
       intro n
-      refine' this _ (Ennreal.lt_add_right hs _)
+      refine' this _ (ENNReal.lt_add_right hs _)
       simp
     choose t hsub hm hm'
     refine' ⟨⋂ n, t n, subset_Inter hsub, MeasurableSet.interᵢ hm, _⟩
     have : tendsto (fun n : ℕ => ms + n⁻¹) at_top (𝓝 (ms + 0)) :=
-      tendsto_const_nhds.add Ennreal.tendsto_inv_nat_nhds_zero
+      tendsto_const_nhds.add ENNReal.tendsto_inv_nat_nhds_zero
     rw [add_zero] at this
     refine' le_antisymm (ge_of_tendsto' this fun n => _) _
     · exact le_trans (m.mono' <| Inter_subset t n) (hm' n).le

mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc

Co-authored-by: Moritz Firsching <firsching@google.com>

@@ -176,7 +176,7 @@ theorem iUnion_of_tendsto_zero {ι} (m : OuterMeasure α) {s : ι → Set α} (l
   have A : ∀ k, m S ≤ M + m (S \ s k) := fun k =>
     calc
       m S = m (s k ∪ S \ s k) := by rw [union_diff_self, union_eq_self_of_subset_left hsS]
-      _ ≤ m (s k) + m (S \ s k) := (m.union _ _)
+      _ ≤ m (s k) + m (S \ s k) := m.union _ _
       _ ≤ M + m (S \ s k) := add_le_add_right (le_iSup (m.measureOf ∘ s) k) _
   have B : Tendsto (fun k => M + m (S \ s k)) l (𝓝 (M + 0)) := tendsto_const_nhds.add h0
   rw [add_zero] at B
@@ -217,7 +217,7 @@ theorem diff_null (m : OuterMeasure α) (s : Set α) {t : Set α} (ht : m t = 0)
   refine' le_antisymm (m.mono <| diff_subset _ _) _
   calc
     m s ≤ m (s ∩ t) + m (s \ t) := le_inter_add_diff _
-    _ ≤ m t + m (s \ t) := (add_le_add_right (m.mono <| inter_subset_right _ _) _)
+    _ ≤ m t + m (s \ t) := add_le_add_right (m.mono <| inter_subset_right _ _) _
     _ = m (s \ t) := by rw [ht, zero_add]
 #align measure_theory.outer_measure.diff_null MeasureTheory.OuterMeasure.diff_null
 

@@ -1484,8 +1484,8 @@ theorem inducedOuterMeasure_preimage (f : α ≃ α) (Pm : ∀ s : Set α, P (f
 
 theorem inducedOuterMeasure_exists_set {s : Set α} (hs : inducedOuterMeasure m P0 m0 s ≠ ∞)
     {ε : ℝ≥0∞} (hε : ε ≠ 0) :
-    ∃ (t : Set α) (_ht : P t),
-      s ⊆ t ∧ inducedOuterMeasure m P0 m0 t ≤ inducedOuterMeasure m P0 m0 s + ε := by
+    ∃ t : Set α,
+      P t ∧ s ⊆ t ∧ inducedOuterMeasure m P0 m0 t ≤ inducedOuterMeasure m P0 m0 s + ε := by
   have h := ENNReal.lt_add_right hs hε
   conv at h =>
     lhs

Empty lines were removed by executing the following Python script twice

import os
import re


# Loop through each file in the repository
for dir_path, dirs, files in os.walk('.'):
  for filename in files:
    if filename.endswith('.lean'):
      file_path = os.path.join(dir_path, filename)

      # Open the file and read its contents
      with open(file_path, 'r') as file:
        content = file.read()

      # Use a regular expression to replace sequences of "variable" lines separated by empty lines
      # with sequences without empty lines
      modified_content = re.sub(r'(variable.*\n)\n(variable(?! .* in))', r'\1\2', content)

      # Write the modified content back to the file
      with open(file_path, 'w') as file:
        file.write(modified_content)

@@ -282,7 +282,6 @@ theorem add_apply (m₁ m₂ : OuterMeasure α) (s : Set α) : (m₁ + m₂) s =
 section SMul
 
 variable [SMul R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞]
-
 variable [SMul R' ℝ≥0∞] [IsScalarTower R' ℝ≥0∞ ℝ≥0∞]
 
 instance instSMul : SMul R (OuterMeasure α) :=
@@ -1301,7 +1300,6 @@ open OuterMeasure
 section Extend
 
 variable {α : Type*} {P : α → Prop}
-
 variable (m : ∀ s : α, P s → ℝ≥0∞)
 
 /-- We can trivially extend a function defined on a subclass of objects (with codomain `ℝ≥0∞`)
@@ -1349,20 +1347,15 @@ end Extend
 section ExtendSet
 
 variable {α : Type*} {P : Set α → Prop}
-
 variable {m : ∀ s : Set α, P s → ℝ≥0∞}
-
 variable (P0 : P ∅) (m0 : m ∅ P0 = 0)
-
 variable (PU : ∀ ⦃f : ℕ → Set α⦄ (_hm : ∀ i, P (f i)), P (⋃ i, f i))
-
 variable
   (mU :
     ∀ ⦃f : ℕ → Set α⦄ (hm : ∀ i, P (f i)),
       Pairwise (Disjoint on f) → m (⋃ i, f i) (PU hm) = ∑' i, m (f i) (hm i))
 
 variable (msU : ∀ ⦃f : ℕ → Set α⦄ (hm : ∀ i, P (f i)), m (⋃ i, f i) (PU hm) ≤ ∑' i, m (f i) (hm i))
-
 variable (m_mono : ∀ ⦃s₁ s₂ : Set α⦄ (hs₁ : P s₁) (hs₂ : P s₂), s₁ ⊆ s₂ → m s₁ hs₁ ≤ m s₂ hs₂)
 
 theorem extend_empty : extend m ∅ = 0 :=
@@ -1540,11 +1533,8 @@ end ExtendSet
 section MeasurableSpace
 
 variable {α : Type*} [MeasurableSpace α]
-
 variable {m : ∀ s : Set α, MeasurableSet s → ℝ≥0∞}
-
 variable (m0 : m ∅ MeasurableSet.empty = 0)
-
 variable
   (mU :
     ∀ ⦃f : ℕ → Set α⦄ (hm : ∀ i, MeasurableSet (f i)),

Backported from #11314.

@@ -200,7 +200,7 @@ theorem iUnion_nat_of_monotone_of_tsum_ne_top (m : OuterMeasure α) {s : ℕ →
   clear hx i
   rcases le_or_lt j n with hjn | hnj
   · exact Or.inl (h' hjn hj)
-  have : j - (n + 1) + n + 1 = j := by rw [add_assoc, tsub_add_cancel_of_le hnj.nat_succ_le]
+  have : j - (n + 1) + n + 1 = j := by omega
   refine' Or.inr (mem_iUnion.2 ⟨j - (n + 1), _, hlt _ _⟩)
   · rwa [this]
   · rw [← Nat.succ_le_iff, Nat.succ_eq_add_one, this]

ball for "bounded forall" and bex for "bounded exists" are from experience very confusing abbreviations. This PR renames them to forall_mem and exists_mem in the few Set lemma names that mention them.

Also deprecate ball_image_of_ball, mem_image_elim, mem_image_elim_on since those lemmas are duplicates of the renamed lemmas (apart from argument order and implicitness, which I am also fixing by making the binder in the RHS of forall_mem_image semi-implicit), have obscure names and are completely unused.

@@ -125,7 +125,7 @@ theorem sUnion_null_iff (m : OuterMeasure α) {S : Set (Set α)} (hS : S.Countab
 @[simp]
 theorem iUnion_null_iff {ι : Sort*} [Countable ι] (m : OuterMeasure α) {s : ι → Set α} :
     m (⋃ i, s i) = 0 ↔ ∀ i, m (s i) = 0 := by
-  rw [← sUnion_range, m.sUnion_null_iff (countable_range s), forall_range_iff]
+  rw [← sUnion_range, m.sUnion_null_iff (countable_range s), forall_mem_range]
 #align measure_theory.outer_measure.Union_null_iff MeasureTheory.OuterMeasure.iUnion_null_iff
 
 alias ⟨_, iUnion_null⟩ := iUnion_null_iff

We remove all but one open Classicals, instead preferring to use open scoped Classical. The only real side-effect this led to is moving a couple declarations to use Exists.choose instead of Classical.choose.

The first few commits are explicitly labelled regex replaces for ease of review.

@@ -56,7 +56,8 @@ outer measure, Carathéodory-measurable, Carathéodory's criterion
 noncomputable section
 
 open Set Function Filter
-open Classical BigOperators NNReal Topology ENNReal MeasureTheory
+open scoped Classical
+open BigOperators NNReal Topology ENNReal MeasureTheory
 
 namespace MeasureTheory
 

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

• converts "--porting note" into "-- Porting note";
• converts "porting note" into "Porting note".

@@ -640,7 +640,7 @@ end Basic
 
 section OfFunction
 
---porting note: "set_option eqn_compiler.zeta true" removed
+-- Porting note: "set_option eqn_compiler.zeta true" removed
 
 variable {α : Type*} (m : Set α → ℝ≥0∞) (m_empty : m ∅ = 0)
 
@@ -1600,7 +1600,7 @@ theorem le_trim : m ≤ m.trim := by
   apply extend_empty <;> simp
 #align measure_theory.outer_measure.le_trim MeasureTheory.OuterMeasure.le_trim
 
-@[simp] --porting note: added `simp`
+@[simp] -- Porting note: added `simp`
 theorem trim_eq {s : Set α} (hs : MeasurableSet s) : m.trim s = m s :=
   inducedOuterMeasure_eq' MeasurableSet.iUnion (fun f _hf => m.iUnion_nat f)
     (fun _ _ _ _ h => m.mono h) hs

@@ -365,10 +365,10 @@ instance instPartialOrder : PartialOrder (OuterMeasure α) where
   le_antisymm a b hab hba := ext fun s => le_antisymm (hab s) (hba s)
 #align measure_theory.outer_measure.outer_measure.partial_order MeasureTheory.OuterMeasure.instPartialOrder
 
-instance OuterMeasure.orderBot : OrderBot (OuterMeasure α) :=
+instance orderBot : OrderBot (OuterMeasure α) :=
   { bot := 0,
     bot_le := fun a s => by simp only [coe_zero, Pi.zero_apply, coe_bot, zero_le] }
-#align measure_theory.outer_measure.outer_measure.order_bot MeasureTheory.OuterMeasure.OuterMeasure.orderBot
+#align measure_theory.outer_measure.outer_measure.order_bot MeasureTheory.OuterMeasure.orderBot
 
 theorem univ_eq_zero_iff (m : OuterMeasure α) : m univ = 0 ↔ m = 0 :=
   ⟨fun h => bot_unique fun s => (m.mono' <| subset_univ s).trans_eq h, fun h => h.symm ▸ rfl⟩

Co-authored-by: Patrick Massot <patrickmassot@free.fr> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

@@ -1681,11 +1681,11 @@ theorem exists_measurable_superset_eq_trim (m : OuterMeasure α) (s : Set α) :
   simp only [trim_eq_iInf]; set ms := ⨅ (t : Set α) (_ : s ⊆ t) (_ : MeasurableSet t), m t
   by_cases hs : ms = ∞
   · simp only [hs]
-    simp only [iInf_eq_top] at hs
+    simp only [iInf_eq_top, ms] at hs
     exact ⟨univ, subset_univ s, MeasurableSet.univ, hs _ (subset_univ s) MeasurableSet.univ⟩
   · have : ∀ r > ms, ∃ t, s ⊆ t ∧ MeasurableSet t ∧ m t < r := by
       intro r hs
-      have : ∃t, MeasurableSet t ∧ s ⊆ t ∧ measureOf m t < r := by simpa [iInf_lt_iff] using hs
+      have : ∃t, MeasurableSet t ∧ s ⊆ t ∧ measureOf m t < r := by simpa [ms, iInf_lt_iff] using hs
       rcases this with ⟨t, hmt, hin, hlt⟩
       exists t
     have : ∀ n : ℕ, ∃ t, s ⊆ t ∧ MeasurableSet t ∧ m t < ms + (n : ℝ≥0∞)⁻¹ := by

I replaced a few "terminal" refine/refine's with exact.

The strategy was very simple-minded: essentially any refine whose following line had smaller indentation got replaced by exact and then I cleaned up the mess.

This PR certainly leaves some further terminal refines, but maybe the current change is beneficial.

@@ -1141,7 +1141,7 @@ theorem sInf_eq_boundedBy_sInfGen (m : Set (OuterMeasure α)) :
     apply sInf_le hμ
   · refine' le_sInf _
     intro μ hμ t
-    refine' le_trans (boundedBy_le t) (iInf₂_le μ hμ)
+    exact le_trans (boundedBy_le t) (iInf₂_le μ hμ)
 #align measure_theory.outer_measure.Inf_eq_bounded_by_Inf_gen MeasureTheory.OuterMeasure.sInf_eq_boundedBy_sInfGen
 
 theorem iSup_sInfGen_nonempty {m : Set (OuterMeasure α)} (h : m.Nonempty) (t : Set α) :
@@ -1151,7 +1151,7 @@ theorem iSup_sInfGen_nonempty {m : Set (OuterMeasure α)} (h : m.Nonempty) (t :
     rw [eq_false Set.not_nonempty_empty, iSup_false, eq_comm]
     simp_rw [empty']
     apply bot_unique
-    refine' iInf_le_of_le μ (iInf_le _ hμ)
+    exact iInf_le_of_le μ (iInf_le _ hμ)
   · simp [ht, sInfGen_def]
 #align measure_theory.outer_measure.supr_Inf_gen_nonempty MeasureTheory.OuterMeasure.iSup_sInfGen_nonempty
 
@@ -1475,7 +1475,7 @@ theorem inducedOuterMeasure_eq_iInf (s : Set α) :
     refine' le_trans _ (extend_iUnion_le_tsum_nat' _ msU _)
     refine' le_iInf _
     intro h2f
-    refine' iInf_le_of_le _ (iInf_le_of_le h2f <| iInf_le _ hf)
+    exact iInf_le_of_le _ (iInf_le_of_le h2f <| iInf_le _ hf)
 #align measure_theory.induced_outer_measure_eq_infi MeasureTheory.inducedOuterMeasure_eq_iInf
 
 theorem inducedOuterMeasure_preimage (f : α ≃ α) (Pm : ∀ s : Set α, P (f ⁻¹' s) ↔ P s)
@@ -1701,7 +1701,7 @@ theorem exists_measurable_superset_eq_trim (m : OuterMeasure α) (s : Set α) :
     · exact le_trans (m.mono' <| iInter_subset t n) (hm' n).le
     · refine' iInf_le_of_le (⋂ n, t n) _
       refine' iInf_le_of_le (subset_iInter hsub) _
-      refine' iInf_le _ (MeasurableSet.iInter hm)
+      exact iInf_le _ (MeasurableSet.iInter hm)
 #align measure_theory.outer_measure.exists_measurable_superset_eq_trim MeasureTheory.OuterMeasure.exists_measurable_superset_eq_trim
 
 theorem exists_measurable_superset_of_trim_eq_zero {m : OuterMeasure α} {s : Set α}

Remove unnecessary "rw"s.

@@ -404,7 +404,7 @@ theorem sSup_apply (ms : Set (OuterMeasure α)) (s : Set α) :
 
 @[simp]
 theorem iSup_apply {ι} (f : ι → OuterMeasure α) (s : Set α) : (⨆ i : ι, f i) s = ⨆ i, f i s := by
-  rw [iSup, sSup_apply, iSup_range, iSup]
+  rw [iSup, sSup_apply, iSup_range]
 #align measure_theory.outer_measure.supr_apply MeasureTheory.OuterMeasure.iSup_apply
 
 @[norm_cast]

This is partial work to make s ∩ . be consistently used for passing to a subset of s. This is sort of an adjoint to (Subtype.val : s -> _) '' ., except for the fact that it does not produce a Set s.

The main API changes are to Subtype.image_preimage_val and Subtype.preimage_val_eq_preimage_val_iff in Mathlib.Data.Set.Image. Changes in other modules are all proof fixups.

Zulip discussion

@@ -551,9 +551,10 @@ def restrict (s : Set α) : OuterMeasure α →ₗ[ℝ≥0∞] OuterMeasure α :
   (map (↑)).comp (comap ((↑) : s → α))
 #align measure_theory.outer_measure.restrict MeasureTheory.OuterMeasure.restrict
 
+-- TODO (kmill): change `m (t ∩ s)` to `m (s ∩ t)`
 @[simp]
 theorem restrict_apply (s t : Set α) (m : OuterMeasure α) : restrict s m t = m (t ∩ s) := by
-  simp [restrict]
+  simp [restrict, inter_comm t]
 #align measure_theory.outer_measure.restrict_apply MeasureTheory.OuterMeasure.restrict_apply
 
 @[mono]
@@ -796,11 +797,12 @@ theorem map_ofFunction {β} {f : α → β} (hf : Injective f) :
     simp [hf.preimage_image]
 #align measure_theory.outer_measure.map_of_function MeasureTheory.OuterMeasure.map_ofFunction
 
+-- TODO (kmill): change `m (t ∩ s)` to `m (s ∩ t)`
 theorem restrict_ofFunction (s : Set α) (hm : Monotone m) :
     restrict s (OuterMeasure.ofFunction m m_empty) =
       OuterMeasure.ofFunction (fun t => m (t ∩ s)) (by simp; simp [m_empty]) := by
       rw [restrict]
-      simp only [LinearMap.comp_apply]
+      simp only [inter_comm _ s, LinearMap.comp_apply]
       rw [comap_ofFunction _ (Or.inl hm)]
       simp only [map_ofFunction Subtype.coe_injective, Subtype.image_preimage_coe]
 #align measure_theory.outer_measure.restrict_of_function MeasureTheory.OuterMeasure.restrict_ofFunction

Of the 18 uses of singlePass, in 3 cases we can just use rw, in 4 cases it isn't needed at all.

In the other 11 cases we are always use it as simp (config := {singlePass := true}) only [X] (i.e. with just a single simp lemma), and that simp call would loop forever (usually failing with a maxRecDepth error, sometimes with heartbeats). I've left these as is.

There's also one case where there was a missing only.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

@@ -1561,7 +1561,7 @@ theorem extend_mono {s₁ s₂ : Set α} (h₁ : MeasurableSet s₁) (hs : s₁
 theorem extend_iUnion_le_tsum_nat : ∀ s : ℕ → Set α,
     extend m (⋃ i, s i) ≤ ∑' i, extend m (s i) := by
   refine' extend_iUnion_le_tsum_nat' MeasurableSet.iUnion _; intro f h
-  simp (config := { singlePass := true }) [iUnion_disjointed.symm]
+  simp (config := { singlePass := true }) only [iUnion_disjointed.symm]
   rw [mU (MeasurableSet.disjointed h) (disjoint_disjointed _)]
   refine' ENNReal.tsum_le_tsum fun i => _
   rw [← extend_eq m, ← extend_eq m]

Generalize some theorems from {β : Type*} [Countable β] (f : β → α) to {ι : Sort*} [Countable ι] (f : ι → α). This way they automatically work for f : (p : Prop) → α.

• Generalize MeasureTheory.OuterMeasure.iUnion_null, MeasureTheory.OuterMeasure.iUnion_null_iff, MeasureTheory.measure_iUnion_null, and MeasureTheory.measure_iUnion_null_iff.
• Deprecate MeasureTheory.OuterMeasure.iUnion_null_iff' and MeasureTheory.measure_iUnion_null_iff'.
• Generalize MeasureTheory.exists_measurable_superset_forall_eq and MeasureTheory.exists_measure_pos_of_not_measure_iUnion_null.
• Reorder implicit arguments in some theorems (move ι around).

@@ -110,36 +110,32 @@ protected theorem iUnion (m : OuterMeasure α) {β} [Countable β] (s : β → S
   rel_iSup_tsum m m.empty (· ≤ ·) m.iUnion_nat s
 #align measure_theory.outer_measure.Union MeasureTheory.OuterMeasure.iUnion
 
-theorem iUnion_null [Countable β] (m : OuterMeasure α) {s : β → Set α} (h : ∀ i, m (s i) = 0) :
-    m (⋃ i, s i) = 0 := by simpa [h] using m.iUnion s
-#align measure_theory.outer_measure.Union_null MeasureTheory.OuterMeasure.iUnion_null
-
-@[simp]
-theorem iUnion_null_iff [Countable β] (m : OuterMeasure α) {s : β → Set α} :
-    m (⋃ i, s i) = 0 ↔ ∀ i, m (s i) = 0 :=
-  ⟨fun h _ => m.mono_null (subset_iUnion _ _) h, m.iUnion_null⟩
-#align measure_theory.outer_measure.Union_null_iff MeasureTheory.OuterMeasure.iUnion_null_iff
-
-/-- A version of `iUnion_null_iff` for unions indexed by Props.
-TODO: in the long run it would be better to combine this with `iUnion_null_iff` by
-generalising to `Sort`. -/
-@[simp]
-theorem iUnion_null_iff' (m : OuterMeasure α) {ι : Prop} {s : ι → Set α} :
-    m (⋃ i, s i) = 0 ↔ ∀ i, m (s i) = 0 :=
-    ⟨ fun h i => mono_null m (subset_iUnion s i) h,
-      by by_cases i : ι <;> simp [i]⟩
-#align measure_theory.outer_measure.Union_null_iff' MeasureTheory.OuterMeasure.iUnion_null_iff'
-
 theorem biUnion_null_iff (m : OuterMeasure α) {s : Set β} (hs : s.Countable) {t : β → Set α} :
     m (⋃ i ∈ s, t i) = 0 ↔ ∀ i ∈ s, m (t i) = 0 := by
-  haveI := hs.toEncodable
-  rw [biUnion_eq_iUnion, iUnion_null_iff, SetCoe.forall']
+  refine ⟨fun h i hi ↦ m.mono_null (subset_biUnion_of_mem hi) h, fun h ↦ ?_⟩
+  have _ := hs.toEncodable
+  simpa [h] using m.iUnion fun x : s ↦ t x
 #align measure_theory.outer_measure.bUnion_null_iff MeasureTheory.OuterMeasure.biUnion_null_iff
 
 theorem sUnion_null_iff (m : OuterMeasure α) {S : Set (Set α)} (hS : S.Countable) :
     m (⋃₀ S) = 0 ↔ ∀ s ∈ S, m s = 0 := by rw [sUnion_eq_biUnion, m.biUnion_null_iff hS]
 #align measure_theory.outer_measure.sUnion_null_iff MeasureTheory.OuterMeasure.sUnion_null_iff
 
+@[simp]
+theorem iUnion_null_iff {ι : Sort*} [Countable ι] (m : OuterMeasure α) {s : ι → Set α} :
+    m (⋃ i, s i) = 0 ↔ ∀ i, m (s i) = 0 := by
+  rw [← sUnion_range, m.sUnion_null_iff (countable_range s), forall_range_iff]
+#align measure_theory.outer_measure.Union_null_iff MeasureTheory.OuterMeasure.iUnion_null_iff
+
+alias ⟨_, iUnion_null⟩ := iUnion_null_iff
+#align measure_theory.outer_measure.Union_null MeasureTheory.OuterMeasure.iUnion_null
+
+@[deprecated] -- Deprecated since 14 January 2024
+theorem iUnion_null_iff' (m : OuterMeasure α) {ι : Prop} {s : ι → Set α} :
+    m (⋃ i, s i) = 0 ↔ ∀ i, m (s i) = 0 :=
+  m.iUnion_null_iff
+#align measure_theory.outer_measure.Union_null_iff' MeasureTheory.OuterMeasure.iUnion_null_iff'
+
 protected theorem iUnion_finset (m : OuterMeasure α) (s : β → Set α) (t : Finset β) :
     m (⋃ i ∈ t, s i) ≤ ∑ i in t, m (s i) :=
   rel_iSup_sum m m.empty (· ≤ ·) m.iUnion_nat s t

Also add 2 @[gcongr] attributes

@@ -91,6 +91,7 @@ theorem empty' (m : OuterMeasure α) : m ∅ = 0 :=
   m.empty
 #align measure_theory.outer_measure.empty' MeasureTheory.OuterMeasure.empty'
 
+@[gcongr]
 theorem mono' (m : OuterMeasure α) {s₁ s₂} (h : s₁ ⊆ s₂) : m s₁ ≤ m s₂ :=
   m.mono h
 #align measure_theory.outer_measure.mono' MeasureTheory.OuterMeasure.mono'
@@ -188,8 +189,8 @@ theorem iUnion_of_tendsto_zero {ι} (m : OuterMeasure α) {s : ι → Set α} (l
 /-- If `s : ℕ → Set α` is a monotone sequence of sets such that `∑' k, m (s (k + 1) \ s k) ≠ ∞`,
 then `m (⋃ n, s n) = ⨆ n, m (s n)`. -/
 theorem iUnion_nat_of_monotone_of_tsum_ne_top (m : OuterMeasure α) {s : ℕ → Set α}
-    (h_mono : ∀ n, s n ⊆ s (n + 1)) (h0 : (∑' k, m (s (k + 1) \ s k)) ≠ ∞)
-    [∀ i:ℕ, DecidablePred (· ∈ s i)] : m (⋃ n, s n) = ⨆ n, m (s n) := by
+    (h_mono : ∀ n, s n ⊆ s (n + 1)) (h0 : (∑' k, m (s (k + 1) \ s k)) ≠ ∞) :
+    m (⋃ n, s n) = ⨆ n, m (s n) := by
   refine' m.iUnion_of_tendsto_zero atTop _
   refine' tendsto_nhds_bot_mono' (ENNReal.tendsto_sum_nat_add _ h0) fun n => _
   refine' (m.mono _).trans (m.iUnion _)
@@ -427,7 +428,7 @@ theorem smul_iSup [SMul R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞] {
 
 end Supremum
 
-@[mono]
+@[mono, gcongr]
 theorem mono'' {m₁ m₂ : OuterMeasure α} {s₁ s₂ : Set α} (hm : m₁ ≤ m₂) (hs : s₁ ⊆ s₂) :
     m₁ s₁ ≤ m₂ s₂ :=
   (hm s₁).trans (m₂.mono hs)

• rename Finset.Nonempty.image_iff to Finset.image_nonempty, deprecate the old version;
• rename Set.nonempty_image_iff to Set.image_nonempty, deprecate the old version;
• drop unneeded Finset.Nonempty arguments here and there;
• add versions of some lemmas that assume Nonempty s instead of Nonempty (s.image f) or Nonempty (s.map f).

@@ -901,7 +901,7 @@ theorem comap_boundedBy {β} (f : β → α)
     exact (@H ⟨s, hs⟩ ⟨t, ht⟩ hst).trans (le_iSup (fun _ : t.Nonempty => m t) ht)
   · dsimp only [boundedBy]
     congr with s : 1
-    rw [nonempty_image_iff]
+    rw [image_nonempty]
 #align measure_theory.outer_measure.comap_bounded_by MeasureTheory.OuterMeasure.comap_boundedBy
 
 /-- If `m u = ∞` for any set `u` that has nonempty intersection both with `s` and `t`, then

Follow-up #9184

@@ -743,7 +743,7 @@ theorem ofFunction_union_of_top_of_nonempty_inter {s t : Set α}
 
   set I := fun s => { i : ℕ | (s ∩ f i).Nonempty }
   have hd : Disjoint (I s) (I t) := disjoint_iff_inf_le.mpr fun i hi => he ⟨i, hi⟩
-  have hI : ∀ (u) (_ : u ⊆ s ∪ t), μ u ≤ ∑' i : I u, μ (f i) := fun u hu =>
+  have hI : ∀ u ⊆ s ∪ t, μ u ≤ ∑' i : I u, μ (f i) := fun u hu =>
     calc
       μ u ≤ μ (⋃ i : I u, f i) :=
         μ.mono fun x hx =>

I literally went through and regex'd some uses of cases', replacing them with rcases; this is meant to be a low effort PR as I hope that tools can do this in the future.

rcases is an easier replacement than cases, though with better tools we could in future do a second pass converting simple rcases added here (and existing ones) to cases.

@@ -200,7 +200,7 @@ theorem iUnion_nat_of_monotone_of_tsum_ne_top (m : OuterMeasure α) {s : ℕ →
   have : ∃i, x ∈ s i := by exists i
   rcases Nat.findX this with ⟨j, hj, hlt⟩
   clear hx i
-  cases' le_or_lt j n with hjn hnj
+  rcases le_or_lt j n with hjn | hnj
   · exact Or.inl (h' hjn hj)
   have : j - (n + 1) + n + 1 = j := by rw [add_assoc, tsub_add_cancel_of_le hnj.nat_succ_le]
   refine' Or.inr (mem_iUnion.2 ⟨j - (n + 1), _, hlt _ _⟩)
@@ -840,7 +840,7 @@ theorem boundedBy_eq_ofFunction (m_empty : m ∅ = 0) (s : Set α) :
     boundedBy m s = OuterMeasure.ofFunction m m_empty s := by
   have : (fun s : Set α => ⨆ _ : s.Nonempty, m s) = m := by
     ext1 t
-    cases' t.eq_empty_or_nonempty with h h <;> simp [h, Set.not_nonempty_empty, m_empty]
+    rcases t.eq_empty_or_nonempty with h | h <;> simp [h, Set.not_nonempty_empty, m_empty]
   simp [boundedBy, this]
 #align measure_theory.outer_measure.bounded_by_eq_of_function MeasureTheory.OuterMeasure.boundedBy_eq_ofFunction
 
@@ -862,14 +862,14 @@ theorem boundedBy_eq_self (m : OuterMeasure α) : boundedBy m = m :=
 
 theorem le_boundedBy {μ : OuterMeasure α} : μ ≤ boundedBy m ↔ ∀ s, μ s ≤ m s := by
   rw [boundedBy , le_ofFunction, forall_congr']; intro s
-  cases' s.eq_empty_or_nonempty with h h <;> simp [h, Set.not_nonempty_empty]
+  rcases s.eq_empty_or_nonempty with h | h <;> simp [h, Set.not_nonempty_empty]
 #align measure_theory.outer_measure.le_bounded_by MeasureTheory.OuterMeasure.le_boundedBy
 
 theorem le_boundedBy' {μ : OuterMeasure α} :
     μ ≤ boundedBy m ↔ ∀ s : Set α, s.Nonempty → μ s ≤ m s := by
   rw [le_boundedBy, forall_congr']
   intro s
-  cases' s.eq_empty_or_nonempty with h h <;> simp [h]
+  rcases s.eq_empty_or_nonempty with h | h <;> simp [h]
 #align measure_theory.outer_measure.le_bounded_by' MeasureTheory.OuterMeasure.le_boundedBy'
 
 @[simp]
@@ -1077,7 +1077,7 @@ theorem ofFunction_caratheodory {m : Set α → ℝ≥0∞} {s : Set α} {h₀ :
 theorem boundedBy_caratheodory {m : Set α → ℝ≥0∞} {s : Set α}
     (hs : ∀ t, m (t ∩ s) + m (t \ s) ≤ m t) : MeasurableSet[(boundedBy m).caratheodory] s := by
   apply ofFunction_caratheodory; intro t
-  cases' t.eq_empty_or_nonempty with h h
+  rcases t.eq_empty_or_nonempty with h | h
   · simp [h, Set.not_nonempty_empty]
   · convert le_trans _ (hs t)
     · simp [h]

Removes nonterminal uses of simp at. Replaces most of these with instances of simp? ... says.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Mario Carneiro <di.gama@gmail.com>

@@ -1016,7 +1016,7 @@ theorem f_iUnion {s : ℕ → Set α} (h : ∀ i, IsCaratheodory m (s i)) (hd :
   rw [ENNReal.tsum_eq_iSup_nat]
   refine' iSup_le fun n => _
   have := @isCaratheodory_sum _ m _ h hd univ n
-  simp at this; simp [this]
+  simp only [inter_comm, inter_univ, univ_inter] at this; simp only [this, ge_iff_le]
   exact m.mono (iUnion₂_subset fun i _ => subset_iUnion _ i)
 #align measure_theory.outer_measure.f_Union MeasureTheory.OuterMeasure.f_iUnion
 

All the other properties of topological spaces like T0Space or RegularSpace are in the root namespace. Many files were opening TopologicalSpace just for the sake of shortening TopologicalSpace.SecondCountableTopology...

@@ -56,9 +56,6 @@ outer measure, Carathéodory-measurable, Carathéodory's criterion
 noncomputable section
 
 open Set Function Filter
-
-open TopologicalSpace (SecondCountableTopology)
-
 open Classical BigOperators NNReal Topology ENNReal MeasureTheory
 
 namespace MeasureTheory

This incorporates changes from

• #7845
• #7847
• #7853
• #7872 (was never actually made to work, but the diffs in nightly-testing are unexciting: we need to fully qualify a few names)

They can all be closed when this is merged.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

@@ -129,7 +129,7 @@ generalising to `Sort`. -/
 theorem iUnion_null_iff' (m : OuterMeasure α) {ι : Prop} {s : ι → Set α} :
     m (⋃ i, s i) = 0 ↔ ∀ i, m (s i) = 0 :=
     ⟨ fun h i => mono_null m (subset_iUnion s i) h,
-      by by_cases i : ι <;> simp [i]; exact (fun h => h (Iff.mpr (Iff.of_eq (eq_true i)) trivial)) ⟩
+      by by_cases i : ι <;> simp [i]⟩
 #align measure_theory.outer_measure.Union_null_iff' MeasureTheory.OuterMeasure.iUnion_null_iff'
 
 theorem biUnion_null_iff (m : OuterMeasure α) {s : Set β} (hs : s.Countable) {t : β → Set α} :

Removes nonterminal simps on lines looking like simp [...]

@@ -1111,7 +1111,7 @@ theorem le_sum_caratheodory {ι} (m : ι → OuterMeasure α) :
 
 theorem le_smul_caratheodory (a : ℝ≥0∞) (m : OuterMeasure α) :
     m.caratheodory ≤ (a • m).caratheodory := fun s h t => by
-      simp [smul_apply]
+      simp only [smul_apply, smul_eq_mul]
       rw [(isCaratheodory_iff m).mp h t]
       simp [mul_add]
 #align measure_theory.outer_measure.le_smul_caratheodory MeasureTheory.OuterMeasure.le_smul_caratheodory

Fixes the nonterminal simps identified by #7496

@@ -295,7 +295,7 @@ instance instSMul : SMul R (OuterMeasure α) :=
     { measureOf := fun s => c • m s
       empty := by simp; rw [← smul_one_mul c]; simp
       mono := fun {s t} h => by
-        simp
+        simp only
         rw [← smul_one_mul c, ← smul_one_mul c (m t)]
         exact ENNReal.mul_left_mono (m.mono h)
       iUnion_nat := fun s => by
@@ -530,7 +530,7 @@ def comap {β} (f : α → β) : OuterMeasure β →ₗ[ℝ≥0∞] OuterMeasure
       empty := by simp
       mono := fun {s t} h => m.mono <| image_subset f h
       iUnion_nat := fun s => by
-        simp
+        simp only
         rw [image_iUnion]
         apply m.iUnion_nat }
   map_add' m₁ m₂ := rfl
@@ -682,7 +682,7 @@ protected def ofFunction : OuterMeasure α :=
         intro i
         apply Subset.trans (hf i).1
         apply iUnion_subset
-        simp
+        simp only [Nat.pairEquiv_symm_apply]
         rw [iUnion_unpair]
         intro j
         apply subset_iUnion₂ i }
@@ -1242,7 +1242,8 @@ theorem map_iInf_comap {ι β} [Nonempty ι] {f : α → β} (m : ι → OuterMe
       image_preimage_eq_inter_range]
     exact image_subset _ ht
   · refine' ENNReal.tsum_le_tsum fun n => iInf_mono fun i => (m i).mono _
-    simp
+    simp only [preimage_union, preimage_compl, preimage_range, compl_univ, union_empty,
+      image_subset_iff]
     exact subset_refl _
 #align measure_theory.outer_measure.map_infi_comap MeasureTheory.OuterMeasure.map_iInf_comap
 
@@ -1599,7 +1600,7 @@ theorem le_trim : m ≤ m.trim := by
   apply le_ofFunction.mpr
   intro s
   apply le_iInf
-  simp
+  simp only [le_refl, implies_true]
   apply extend_empty <;> simp
 #align measure_theory.outer_measure.le_trim MeasureTheory.OuterMeasure.le_trim
 

Co-authored-by: Moritz Firsching <firsching@google.com>

@@ -340,9 +340,9 @@ instance addCommMonoid : AddCommMonoid (OuterMeasure α) :=
 /-- `(⇑)` as an `AddMonoidHom`. -/
 @[simps]
 def coeFnAddMonoidHom : OuterMeasure α →+ Set α → ℝ≥0∞ where
-    toFun := (⇑)
-    map_zero' := coe_zero
-    map_add' := coe_add
+  toFun := (⇑)
+  map_zero' := coe_zero
+  map_add' := coe_add
 #align measure_theory.outer_measure.coe_fn_add_monoid_hom MeasureTheory.OuterMeasure.coeFnAddMonoidHom
 
 instance instDistribMulAction [Monoid R] [DistribMulAction R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞] :

@@ -940,7 +940,7 @@ def IsCaratheodory (s : Set α) : Prop :=
 
 theorem isCaratheodory_iff_le' {s : Set α} :
     IsCaratheodory m s ↔ ∀ t, m (t ∩ s) + m (t \ s) ≤ m t :=
-    forall_congr' fun _ => le_antisymm_iff.trans <| and_iff_right <| le_inter_add_diff _
+  forall_congr' fun _ => le_antisymm_iff.trans <| and_iff_right <| le_inter_add_diff _
 #align measure_theory.outer_measure.is_caratheodory_iff_le' MeasureTheory.OuterMeasure.isCaratheodory_iff_le'
 
 @[simp]
@@ -1624,14 +1624,14 @@ theorem trim_mono : Monotone (trim : OuterMeasure α → OuterMeasure α) := fun
 
 theorem le_trim_iff {m₁ m₂ : OuterMeasure α} :
     m₁ ≤ m₂.trim ↔ ∀ s, MeasurableSet s → m₁ s ≤ m₂ s := by
-    let me := extend (fun s (_p : MeasurableSet s) => measureOf m₂ s)
-    have me_empty : me ∅ = 0 := by apply extend_empty; simp; simp
-    have : m₁ ≤ OuterMeasure.ofFunction me me_empty ↔
-            (∀ (s : Set α), measureOf m₁ s ≤ me s) := le_ofFunction
-    apply this.trans
-    apply forall_congr'
-    intro s
-    apply le_iInf_iff
+  let me := extend (fun s (_p : MeasurableSet s) => measureOf m₂ s)
+  have me_empty : me ∅ = 0 := by apply extend_empty; simp; simp
+  have : m₁ ≤ OuterMeasure.ofFunction me me_empty ↔
+          (∀ (s : Set α), measureOf m₁ s ≤ me s) := le_ofFunction
+  apply this.trans
+  apply forall_congr'
+  intro s
+  apply le_iInf_iff
 #align measure_theory.outer_measure.le_trim_iff MeasureTheory.OuterMeasure.le_trim_iff
 
 theorem trim_le_trim_iff {m₁ m₂ : OuterMeasure α} :
@@ -1759,14 +1759,14 @@ theorem trim_sup (m₁ m₂ : OuterMeasure α) : (m₁ ⊔ m₂).trim = m₁.tri
 of the trimmed measures. -/
 theorem trim_iSup {ι} [Countable ι] (μ : ι → OuterMeasure α) :
     trim (⨆ i, μ i) = ⨆ i, trim (μ i) := by
-    simp_rw [← @iSup_plift_down _ ι]
-    ext1 s
-    obtain ⟨t, _, _, hμt⟩ :=
-      exists_measurable_superset_forall_eq_trim
-        (Option.elim' (⨆ i, μ (PLift.down i)) (μ ∘ PLift.down)) s
-    simp only [Option.forall, Option.elim'] at hμt
-    simp only [iSup_apply, ← hμt.1]
-    exact iSup_congr hμt.2
+  simp_rw [← @iSup_plift_down _ ι]
+  ext1 s
+  obtain ⟨t, _, _, hμt⟩ :=
+    exists_measurable_superset_forall_eq_trim
+      (Option.elim' (⨆ i, μ (PLift.down i)) (μ ∘ PLift.down)) s
+  simp only [Option.forall, Option.elim'] at hμt
+  simp only [iSup_apply, ← hμt.1]
+  exact iSup_congr hμt.2
 #align measure_theory.outer_measure.trim_supr MeasureTheory.OuterMeasure.trim_iSup
 
 /-- The trimmed property of a measure μ states that `μ.toOuterMeasure.trim = μ.toOuterMeasure`.

Co-authored-by: Moritz Firsching <firsching@google.com>

@@ -939,7 +939,7 @@ def IsCaratheodory (s : Set α) : Prop :=
 #align measure_theory.outer_measure.is_caratheodory MeasureTheory.OuterMeasure.IsCaratheodory
 
 theorem isCaratheodory_iff_le' {s : Set α} :
-  IsCaratheodory m s ↔ ∀ t, m (t ∩ s) + m (t \ s) ≤ m t :=
+    IsCaratheodory m s ↔ ∀ t, m (t ∩ s) + m (t \ s) ≤ m t :=
     forall_congr' fun _ => le_antisymm_iff.trans <| and_iff_right <| le_inter_add_diff _
 #align measure_theory.outer_measure.is_caratheodory_iff_le' MeasureTheory.OuterMeasure.isCaratheodory_iff_le'
 
@@ -1623,7 +1623,7 @@ theorem trim_mono : Monotone (trim : OuterMeasure α → OuterMeasure α) := fun
 #align measure_theory.outer_measure.trim_mono MeasureTheory.OuterMeasure.trim_mono
 
 theorem le_trim_iff {m₁ m₂ : OuterMeasure α} :
-  m₁ ≤ m₂.trim ↔ ∀ s, MeasurableSet s → m₁ s ≤ m₂ s := by
+    m₁ ≤ m₂.trim ↔ ∀ s, MeasurableSet s → m₁ s ≤ m₂ s := by
     let me := extend (fun s (_p : MeasurableSet s) => measureOf m₂ s)
     have me_empty : me ∅ = 0 := by apply extend_empty; simp; simp
     have : m₁ ≤ OuterMeasure.ofFunction me me_empty ↔
@@ -1758,7 +1758,7 @@ theorem trim_sup (m₁ m₂ : OuterMeasure α) : (m₁ ⊔ m₂).trim = m₁.tri
 /-- `trim` sends the supremum of a countable family of outer measures to the supremum
 of the trimmed measures. -/
 theorem trim_iSup {ι} [Countable ι] (μ : ι → OuterMeasure α) :
-  trim (⨆ i, μ i) = ⨆ i, trim (μ i) := by
+    trim (⨆ i, μ i) = ⨆ i, trim (μ i) := by
     simp_rw [← @iSup_plift_down _ ι]
     ext1 s
     obtain ⟨t, _, _, hμt⟩ :=

We remove all possible occurences of Type _ and Sort _ in favor of Type* and Sort*.

This has nice performance benefits.

@@ -64,7 +64,7 @@ open Classical BigOperators NNReal Topology ENNReal MeasureTheory
 namespace MeasureTheory
 
 /-- An outer measure is a countably subadditive monotone function that sends `∅` to `0`. -/
-structure OuterMeasure (α : Type _) where
+structure OuterMeasure (α : Type*) where
   measureOf : Set α → ℝ≥0∞
   empty : measureOf ∅ = 0
   mono : ∀ {s₁ s₂}, s₁ ⊆ s₂ → measureOf s₁ ≤ measureOf s₂
@@ -79,7 +79,7 @@ namespace OuterMeasure
 
 section Basic
 
-variable {α β R R' : Type _} {ms : Set (OuterMeasure α)} {m : OuterMeasure α}
+variable {α β R R' : Type*} {ms : Set (OuterMeasure α)} {m : OuterMeasure α}
 
 instance instCoeFun : CoeFun (OuterMeasure α) (fun _ => Set α → ℝ≥0∞) where
   coe m := m.measureOf
@@ -647,7 +647,7 @@ section OfFunction
 
 --porting note: "set_option eqn_compiler.zeta true" removed
 
-variable {α : Type _} (m : Set α → ℝ≥0∞) (m_empty : m ∅ = 0)
+variable {α : Type*} (m : Set α → ℝ≥0∞) (m_empty : m ∅ = 0)
 
 /-- Given any function `m` assigning measures to sets satisying `m ∅ = 0`, there is
   a unique maximal outer measure `μ` satisfying `μ s ≤ m s` for all `s : Set α`. -/
@@ -824,7 +824,7 @@ end OfFunction
 
 section BoundedBy
 
-variable {α : Type _} (m : Set α → ℝ≥0∞)
+variable {α : Type*} (m : Set α → ℝ≥0∞)
 
 /-- Given any function `m` assigning measures to sets, there is a unique maximal outer measure `μ`
   satisfying `μ s ≤ m s` for all `s : Set α`. This is the same as `OuterMeasure.ofFunction`,
@@ -1057,7 +1057,7 @@ protected theorem iUnion_eq_of_caratheodory {s : ℕ → Set α}
 
 end CaratheodoryMeasurable
 
-variable {α : Type _}
+variable {α : Type*}
 
 theorem ofFunction_caratheodory {m : Set α → ℝ≥0∞} {s : Set α} {h₀ : m ∅ = 0}
     (hs : ∀ t, m (t ∩ s) + m (t \ s) ≤ m t) :
@@ -1302,7 +1302,7 @@ open OuterMeasure
 
 section Extend
 
-variable {α : Type _} {P : α → Prop}
+variable {α : Type*} {P : α → Prop}
 
 variable (m : ∀ s : α, P s → ℝ≥0∞)
 
@@ -1335,14 +1335,14 @@ theorem le_extend {s : α} (h : P s) : m s h ≤ extend m s := by
 #align measure_theory.le_extend MeasureTheory.le_extend
 
 -- TODO: why this is a bad `congr` lemma?
-theorem extend_congr {β : Type _} {Pb : β → Prop} {mb : ∀ s : β, Pb s → ℝ≥0∞} {sa : α} {sb : β}
+theorem extend_congr {β : Type*} {Pb : β → Prop} {mb : ∀ s : β, Pb s → ℝ≥0∞} {sa : α} {sb : β}
     (hP : P sa ↔ Pb sb) (hm : ∀ (ha : P sa) (hb : Pb sb), m sa ha = mb sb hb) :
     extend m sa = extend mb sb :=
   iInf_congr_Prop hP fun _h => hm _ _
 #align measure_theory.extend_congr MeasureTheory.extend_congr
 
 @[simp]
-theorem extend_top {α : Type _} {P : α → Prop} : extend (fun _ _ => ∞ : ∀ s : α, P s → ℝ≥0∞) = ⊤ :=
+theorem extend_top {α : Type*} {P : α → Prop} : extend (fun _ _ => ∞ : ∀ s : α, P s → ℝ≥0∞) = ⊤ :=
   funext fun _ => iInf_eq_top.mpr fun _ => rfl
 #align measure_theory.extend_top MeasureTheory.extend_top
 
@@ -1350,7 +1350,7 @@ end Extend
 
 section ExtendSet
 
-variable {α : Type _} {P : Set α → Prop}
+variable {α : Type*} {P : Set α → Prop}
 
 variable {m : ∀ s : Set α, P s → ℝ≥0∞}
 
@@ -1541,7 +1541,7 @@ end ExtendSet
 
 section MeasurableSpace
 
-variable {α : Type _} [MeasurableSpace α]
+variable {α : Type*} [MeasurableSpace α]
 
 variable {m : ∀ s : Set α, MeasurableSet s → ℝ≥0∞}
 
@@ -1587,7 +1587,7 @@ end MeasurableSpace
 
 namespace OuterMeasure
 
-variable {α : Type _} [MeasurableSpace α] (m : OuterMeasure α)
+variable {α : Type*} [MeasurableSpace α] (m : OuterMeasure α)
 
 /-- Given an outer measure `m` we can forget its value on non-measurable sets, and then consider
   `m.trim`, the unique maximal outer measure less than that function. -/
@@ -1745,7 +1745,7 @@ theorem trim_add (m₁ m₂ : OuterMeasure α) : (m₁ + m₂).trim = m₁.trim
 #align measure_theory.outer_measure.trim_add MeasureTheory.OuterMeasure.trim_add
 
 /-- `trim` respects scalar multiplication. -/
-theorem trim_smul {R : Type _} [SMul R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞] (c : R)
+theorem trim_smul {R : Type*} [SMul R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞] (c : R)
     (m : OuterMeasure α) : (c • m).trim = c • m.trim :=
   ext <| trim_op (smul_apply c m)
 #align measure_theory.outer_measure.trim_smul MeasureTheory.OuterMeasure.trim_smul

Per https://github.com/leanprover/lean4/issues/2343, we are going to need to change the automatic generation of instance names, as they become too long.

This PR ensures that everywhere in Mathlib that refers to an instance by name, that name is given explicitly, rather than being automatically generated.

There are four exceptions, which are now commented, with links to https://github.com/leanprover/lean4/issues/2343.

This was implemented by running Mathlib against a modified Lean that appended _ᾰ to all automatically generated names, and fixing everything.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

@@ -1761,7 +1761,6 @@ theorem trim_iSup {ι} [Countable ι] (μ : ι → OuterMeasure α) :
   trim (⨆ i, μ i) = ⨆ i, trim (μ i) := by
     simp_rw [← @iSup_plift_down _ ι]
     ext1 s
-    haveI : Countable (Option <| PLift ι) := by exact instCountableOption
     obtain ⟨t, _, _, hμt⟩ :=
       exists_measurable_superset_forall_eq_trim
         (Option.elim' (⨆ i, μ (PLift.down i)) (μ ∘ PLift.down)) s

@@ -36,7 +36,7 @@ for all sets `t` we have `m t = m (t ∩ s) + m (t \ s)`. This forms a measurabl
 ## Main definitions and statements
 
 * `OuterMeasure.boundedBy` is the greatest outer measure that is at most the given function.
-  If you know that the given functions sends `∅` to `0`, then `OuterMeasure.ofFunction` is a
+  If you know that the given function sends `∅` to `0`, then `OuterMeasure.ofFunction` is a
   special case.
 * `caratheodory` is the Carathéodory-measurable space of an outer measure.
 * `sInf_eq_boundedBy_sInfGen` is a characterization of the infimum of outer measures.

• depends on: #5966

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

@@ -2,17 +2,14 @@
 Copyright (c) 2017 Johannes Hölzl. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Mario Carneiro
-
-! This file was ported from Lean 3 source module measure_theory.measure.outer_measure
-! leanprover-community/mathlib commit 343e80208d29d2d15f8050b929aa50fe4ce71b55
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Analysis.SpecificLimits.Basic
 import Mathlib.MeasureTheory.PiSystem
 import Mathlib.Data.Countable.Basic
 import Mathlib.Data.Fin.VecNotation
 
+#align_import measure_theory.measure.outer_measure from "leanprover-community/mathlib"@"343e80208d29d2d15f8050b929aa50fe4ce71b55"
+
 /-!
 # Outer Measures
 

Grepping for [^ .:{-] [^ :] and reviewing the results. Once I started I couldn't stop. :-)

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

@@ -1721,7 +1721,7 @@ a measurable set `t ⊇ s` such that `μ i t = (μ i).trim s` for all `i`. -/
 theorem exists_measurable_superset_forall_eq_trim {ι} [Countable ι] (μ : ι → OuterMeasure α)
     (s : Set α) : ∃ t, s ⊆ t ∧ MeasurableSet t ∧ ∀ i, μ i t = (μ i).trim s := by
   choose t hst ht hμt using fun i => (μ i).exists_measurable_superset_eq_trim s
-  replace hst := subset_iInter  hst
+  replace hst := subset_iInter hst
   replace ht := MeasurableSet.iInter ht
   refine' ⟨⋂ i, t i, hst, ht, fun i => le_antisymm _ _⟩
   exacts [hμt i ▸ (μ i).mono (iInter_subset _ _), (mono' _ hst).trans_eq ((μ i).trim_eq ht)]

Currently, when s is a fintype, it is possible that ∑' x, f x ≠ ∑ x, f x (if the topology of the target space is not separated), as the infinite sum ∑' picks some limit if it exists, but not necessarily the one we prefer.

This PR tweaks the definition of infinite sums to make sure that, when a function is finitely supported, the chosen limit for its infinite sum is the (finite) sum of its values. This makes it possible to remove a few separation assumption here and there.

@@ -761,8 +761,7 @@ theorem ofFunction_union_of_top_of_nonempty_inter {s t : Set α}
     μ s + μ t ≤ (∑' i : I s, μ (f i)) + ∑' i : I t, μ (f i) :=
       add_le_add (hI _ <| subset_union_left _ _) (hI _ <| subset_union_right _ _)
     _ = ∑' i : ↑(I s ∪ I t), μ (f i) :=
-      (@tsum_union_disjoint _ _ _ _ _ (fun i => μ (f i)) _ _ _ hd ENNReal.summable
-          ENNReal.summable).symm
+      (tsum_union_disjoint (f := fun i => μ (f i)) hd ENNReal.summable ENNReal.summable).symm
     _ ≤ ∑' i, μ (f i) :=
       (tsum_le_tsum_of_inj (↑) Subtype.coe_injective (fun _ _ => zero_le _) (fun _ => le_rfl)
         ENNReal.summable ENNReal.summable)

This PR is the result of running

find . -type f -name "*.lean" -exec sed -i -E 's/^( +)\. /\1· /' {} \;
find . -type f -name "*.lean" -exec sed -i -E 'N;s/^( +·)\n +(.*)$/\1 \2/;P;D' {} \;

which firstly replaces . focusing dots with · and secondly removes isolated instances of such dots, unifying them with the following line. A new rule is placed in the style linter to verify this.

@@ -742,8 +742,7 @@ theorem ofFunction_union_of_top_of_nonempty_inter {s t : Set α}
   refine' le_antisymm (OuterMeasure.union _ _ _) (le_iInf fun f => le_iInf fun hf => _)
   set μ := OuterMeasure.ofFunction m m_empty
   rcases Classical.em (∃ i, (s ∩ f i).Nonempty ∧ (t ∩ f i).Nonempty) with (⟨i, hs, ht⟩ | he)
-  ·
-    calc
+  · calc
       μ s + μ t ≤ ∞ := le_top
       _ = m (f i) := (h (f i) hs ht).symm
       _ ≤ ∑' i, m (f i) := ENNReal.le_tsum i
@@ -1007,8 +1006,8 @@ theorem isCaratheodory_iUnion_nat {s : ℕ → Set α} (h : ∀ i, IsCaratheodor
       intro t
       have hp : m (t ∩ ⋃ i, s i) ≤ ⨆ n, m (t ∩ ⋃ i < n, s i) := by
         convert m.iUnion fun i => t ∩ s i using 1
-        . simp [inter_iUnion]
-        . simp [ENNReal.tsum_eq_iSup_nat, isCaratheodory_sum m h hd]
+        · simp [inter_iUnion]
+        · simp [ENNReal.tsum_eq_iSup_nat, isCaratheodory_sum m h hd]
       refine' le_trans (add_le_add_right hp _) _
       rw [ENNReal.iSup_add]
       refine'
@@ -1417,8 +1416,7 @@ theorem extend_iUnion {β} [Countable β] {f : β → Set α} (hd : Pairwise (Di
     (hm : ∀ i, P (f i)) : extend m (⋃ i, f i) = ∑' i, extend m (f i) := by
   cases nonempty_encodable β
   rw [← Encodable.iUnion_decode₂, ← tsum_iUnion_decode₂]
-  ·
-    exact
+  · exact
       extend_iUnion_nat PU (fun n => Encodable.iUnion_decode₂_cases P0 hm)
         (mU _ (Encodable.iUnion_decode₂_disjoint_on hd))
   · exact extend_empty P0 m0

@@ -1110,7 +1110,7 @@ theorem le_add_caratheodory (m₁ m₂ : OuterMeasure α) :
 #align measure_theory.outer_measure.le_add_caratheodory MeasureTheory.OuterMeasure.le_add_caratheodory
 
 theorem le_sum_caratheodory {ι} (m : ι → OuterMeasure α) :
-    (⨅ i, (m i).caratheodory) ≤ (sum m).caratheodory := fun s h t => by
+    ⨅ i, (m i).caratheodory ≤ (sum m).caratheodory := fun s h t => by
   simp [fun i => MeasurableSpace.measurableSet_iInf.1 h i t, ENNReal.tsum_add]
 #align measure_theory.outer_measure.le_sum_caratheodory MeasureTheory.OuterMeasure.le_sum_caratheodory
 
@@ -1154,7 +1154,7 @@ theorem sInf_eq_boundedBy_sInfGen (m : Set (OuterMeasure α)) :
 #align measure_theory.outer_measure.Inf_eq_bounded_by_Inf_gen MeasureTheory.OuterMeasure.sInf_eq_boundedBy_sInfGen
 
 theorem iSup_sInfGen_nonempty {m : Set (OuterMeasure α)} (h : m.Nonempty) (t : Set α) :
-    (⨆ _ : t.Nonempty, sInfGen m t) = ⨅ (μ : OuterMeasure α) (_ : μ ∈ m), μ t := by
+    ⨆ _ : t.Nonempty, sInfGen m t = ⨅ (μ : OuterMeasure α) (_ : μ ∈ m), μ t := by
   rcases t.eq_empty_or_nonempty with (rfl | ht)
   · rcases h with ⟨μ, hμ⟩
     rw [eq_false Set.not_nonempty_empty, iSup_false, eq_comm]

Co-authored-by: Yury G. Kudryashov <urkud@urkud.name>

@@ -800,7 +800,7 @@ theorem map_ofFunction {β} {f : α → β} (hf : Injective f) :
   refine' (map_ofFunction_le _).antisymm fun s => _
   simp only [ofFunction_apply, map_apply, le_iInf_iff]
   intro t ht
-  refine' iInf_le_of_le (fun n => range fᶜ ∪ f '' t n) (iInf_le_of_le _ _)
+  refine' iInf_le_of_le (fun n => (range f)ᶜ ∪ f '' t n) (iInf_le_of_le _ _)
   · rw [← union_iUnion, ← inter_subset, ← image_preimage_eq_inter_range, ← image_iUnion]
     exact image_subset _ ht
   · refine' ENNReal.tsum_le_tsum fun n => le_of_eq _
@@ -952,12 +952,12 @@ theorem isCaratheodory_iff_le' {s : Set α} :
 theorem isCaratheodory_empty : IsCaratheodory m ∅ := by simp [IsCaratheodory, m.empty, diff_empty]
 #align measure_theory.outer_measure.is_caratheodory_empty MeasureTheory.OuterMeasure.isCaratheodory_empty
 
-theorem isCaratheodory_compl : IsCaratheodory m s₁ → IsCaratheodory m (s₁ᶜ) := by
+theorem isCaratheodory_compl : IsCaratheodory m s₁ → IsCaratheodory m s₁ᶜ := by
   simp [IsCaratheodory, diff_eq, add_comm]
 #align measure_theory.outer_measure.is_caratheodory_compl MeasureTheory.OuterMeasure.isCaratheodory_compl
 
 @[simp]
-theorem isCaratheodory_compl_iff : IsCaratheodory m (sᶜ) ↔ IsCaratheodory m s :=
+theorem isCaratheodory_compl_iff : IsCaratheodory m sᶜ ↔ IsCaratheodory m s :=
   ⟨fun h => by simpa using isCaratheodory_compl m h, isCaratheodory_compl m⟩
 #align measure_theory.outer_measure.is_caratheodory_compl_iff MeasureTheory.OuterMeasure.isCaratheodory_compl_iff
 
@@ -1242,7 +1242,7 @@ theorem map_iInf_comap {ι β} [Nonempty ι] {f : α → β} (m : ι → OuterMe
     map f (⨅ i, comap f (m i)) = ⨅ i, map f (comap f (m i)) := by
   refine' (map_iInf_le _ _).antisymm fun s => _
   simp only [map_apply, comap_apply, iInf_apply, le_iInf_iff]
-  refine' fun t ht => iInf_le_of_le (fun n => f '' t n ∪ range fᶜ) (iInf_le_of_le _ _)
+  refine' fun t ht => iInf_le_of_le (fun n => f '' t n ∪ (range f)ᶜ) (iInf_le_of_le _ _)
   · rw [← iUnion_union, Set.union_comm, ← inter_subset, ← image_iUnion, ←
       image_preimage_eq_inter_range]
     exact image_subset _ ht

@@ -169,11 +169,8 @@ theorem null_of_locally_null [TopologicalSpace α] [SecondCountableTopology α]
 theorem exists_mem_forall_mem_nhds_within_pos [TopologicalSpace α] [SecondCountableTopology α]
     (m : OuterMeasure α) {s : Set α} (hs : m s ≠ 0) : ∃ x ∈ s, ∀ t ∈ 𝓝[s] x, 0 < m t := by
   contrapose! hs
-  simp only [nonpos_iff_eq_zero, ← exists_prop] at hs
-  apply m.null_of_locally_null s
-  intro x hx
-  specialize hs x hx
-  exact Iff.mp bex_def hs
+  simp only [nonpos_iff_eq_zero] at hs
+  exact m.null_of_locally_null s hs
 #align measure_theory.outer_measure.exists_mem_forall_mem_nhds_within_pos MeasureTheory.OuterMeasure.exists_mem_forall_mem_nhds_within_pos
 
 /-- If `s : ι → Set α` is a sequence of sets, `S = ⋃ n, s n`, and `m (S \ s n)` tends to zero along

Fix the set tactic to not time out when dealing with slow to elaborate terms and many local hypotheses.

The root cause of this is that the rewrite [blah] at * tactic causes blah to be elaborated again and again for each local hypothesis, this is possibly a core issue that should be fixed separately, but in set we have the elaborated term already so we can just use it.

We also add some functionality to simply test / demonstrate failures when elaboration takes too long, namely sleepAtLeastHeartbeats and a sleep_heartbeats tactic.

@urkud was facing some slow running set's in https://github.com/leanprover-community/mathlib4/pull/4912, see https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Timeout.20in.20.60set.20.2E.2E.20with.60/near/367958828 that this issue was minimized from and should fix.

Some other linter failures show up due to changes to the set internals so fix these too.

Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com>

@@ -1690,7 +1690,7 @@ theorem trim_sum_ge {ι} (m : ι → OuterMeasure α) : (sum fun i => (m i).trim
 
 theorem exists_measurable_superset_eq_trim (m : OuterMeasure α) (s : Set α) :
     ∃ t, s ⊆ t ∧ MeasurableSet t ∧ m t = m.trim s := by
-  simp only [trim_eq_iInf]; set ms := ⨅ (t : Set α) (st : s ⊆ t) (ht : MeasurableSet t), m t
+  simp only [trim_eq_iInf]; set ms := ⨅ (t : Set α) (_ : s ⊆ t) (_ : MeasurableSet t), m t
   by_cases hs : ms = ∞
   · simp only [hs]
     simp only [iInf_eq_top] at hs

Some such lemmas are already labelled @[simp], and this PR adds @[simp] to the remaining ones.

It's useful for some automation I'm writing to have these all in simp.

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au>

@@ -642,6 +642,7 @@ theorem map_top (f : α → β) : map f ⊤ = restrict (range f) ⊤ :=
       Set.image_eq_empty]
 #align measure_theory.outer_measure.map_top MeasureTheory.OuterMeasure.map_top
 
+@[simp]
 theorem map_top_of_surjective (f : α → β) (hf : Surjective f) : map f ⊤ = ⊤ := by
   rw [map_top, hf.range_eq, restrict_univ]
 #align measure_theory.outer_measure.map_top_of_surjective MeasureTheory.OuterMeasure.map_top_of_surjective

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>

@@ -1501,7 +1501,7 @@ theorem inducedOuterMeasure_preimage (f : α ≃ α) (Pm : ∀ s : Set α, P (f
 
 theorem inducedOuterMeasure_exists_set {s : Set α} (hs : inducedOuterMeasure m P0 m0 s ≠ ∞)
     {ε : ℝ≥0∞} (hε : ε ≠ 0) :
-    ∃ (t : Set α)(_ht : P t),
+    ∃ (t : Set α) (_ht : P t),
       s ⊆ t ∧ inducedOuterMeasure m P0 m0 t ≤ inducedOuterMeasure m P0 m0 s + ε := by
   have h := ENNReal.lt_add_right hs hε
   conv at h =>

Too often tempted to change these during other PRs, so doing a mass edit here.

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au>

@@ -1729,7 +1729,7 @@ theorem exists_measurable_superset_forall_eq_trim {ι} [Countable ι] (μ : ι 
   replace hst := subset_iInter  hst
   replace ht := MeasurableSet.iInter ht
   refine' ⟨⋂ i, t i, hst, ht, fun i => le_antisymm _ _⟩
-  exacts[hμt i ▸ (μ i).mono (iInter_subset _ _), (mono' _ hst).trans_eq ((μ i).trim_eq ht)]
+  exacts [hμt i ▸ (μ i).mono (iInter_subset _ _), (mono' _ hst).trans_eq ((μ i).trim_eq ht)]
 #align measure_theory.outer_measure.exists_measurable_superset_forall_eq_trim MeasureTheory.OuterMeasure.exists_measurable_superset_forall_eq_trim
 
 /-- If `m₁ s = op (m₂ s) (m₃ s)` for all `s`, then the same is true for `m₁.trim`, `m₂.trim`,

@@ -657,7 +657,7 @@ variable {α : Type _} (m : Set α → ℝ≥0∞) (m_empty : m ∅ = 0)
 /-- Given any function `m` assigning measures to sets satisying `m ∅ = 0`, there is
   a unique maximal outer measure `μ` satisfying `μ s ≤ m s` for all `s : Set α`. -/
 protected def ofFunction : OuterMeasure α :=
-  let μ s := ⨅ (f : ℕ → Set α) (_h : s ⊆ ⋃ i, f i), ∑' i, m (f i)
+  let μ s := ⨅ (f : ℕ → Set α) (_ : s ⊆ ⋃ i, f i), ∑' i, m (f i)
   { measureOf := μ
     empty :=
       le_antisymm
@@ -694,7 +694,7 @@ protected def ofFunction : OuterMeasure α :=
 #align measure_theory.outer_measure.of_function MeasureTheory.OuterMeasure.ofFunction
 
 theorem ofFunction_apply (s : Set α) :
-    OuterMeasure.ofFunction m m_empty s = ⨅ (t : ℕ → Set α) (_h : s ⊆ iUnion t), ∑' n, m (t n) :=
+    OuterMeasure.ofFunction m m_empty s = ⨅ (t : ℕ → Set α) (_ : s ⊆ iUnion t), ∑' n, m (t n) :=
   rfl
 #align measure_theory.outer_measure.of_function_apply MeasureTheory.OuterMeasure.ofFunction_apply
 
@@ -837,7 +837,7 @@ variable {α : Type _} (m : Set α → ℝ≥0∞)
   satisfying `μ s ≤ m s` for all `s : Set α`. This is the same as `OuterMeasure.ofFunction`,
   except that it doesn't require `m ∅ = 0`. -/
 def boundedBy : OuterMeasure α :=
-  OuterMeasure.ofFunction (fun s => ⨆ _h : s.Nonempty, m s) (by simp [Set.not_nonempty_empty])
+  OuterMeasure.ofFunction (fun s => ⨆ _ : s.Nonempty, m s) (by simp [Set.not_nonempty_empty])
 #align measure_theory.outer_measure.bounded_by MeasureTheory.OuterMeasure.boundedBy
 
 variable {m}
@@ -848,15 +848,15 @@ theorem boundedBy_le (s : Set α) : boundedBy m s ≤ m s :=
 
 theorem boundedBy_eq_ofFunction (m_empty : m ∅ = 0) (s : Set α) :
     boundedBy m s = OuterMeasure.ofFunction m m_empty s := by
-  have : (fun s : Set α => ⨆ _h : s.Nonempty, m s) = m := by
+  have : (fun s : Set α => ⨆ _ : s.Nonempty, m s) = m := by
     ext1 t
     cases' t.eq_empty_or_nonempty with h h <;> simp [h, Set.not_nonempty_empty, m_empty]
   simp [boundedBy, this]
 #align measure_theory.outer_measure.bounded_by_eq_of_function MeasureTheory.OuterMeasure.boundedBy_eq_ofFunction
 
 theorem boundedBy_apply (s : Set α) :
-    boundedBy m s = ⨅ (t : ℕ → Set α) (_h : s ⊆ iUnion t),
-                      ∑' n, ⨆ _h : (t n).Nonempty, m (t n) := by
+    boundedBy m s = ⨅ (t : ℕ → Set α) (_ : s ⊆ iUnion t),
+                      ∑' n, ⨆ _ : (t n).Nonempty, m (t n) := by
   simp [boundedBy, ofFunction_apply]
 #align measure_theory.outer_measure.bounded_by_apply MeasureTheory.OuterMeasure.boundedBy_apply
 
@@ -1137,11 +1137,11 @@ section sInfGen
   function is defined to be `0` on `∅`, even if the collection of outer measures is empty.
   The outer measure generated by this function is the infimum of the given outer measures. -/
 def sInfGen (m : Set (OuterMeasure α)) (s : Set α) : ℝ≥0∞ :=
-  ⨅ (μ : OuterMeasure α) (_h : μ ∈ m), μ s
+  ⨅ (μ : OuterMeasure α) (_ : μ ∈ m), μ s
 #align measure_theory.outer_measure.Inf_gen MeasureTheory.OuterMeasure.sInfGen
 
 theorem sInfGen_def (m : Set (OuterMeasure α)) (t : Set α) :
-    sInfGen m t = ⨅ (μ : OuterMeasure α) (_h : μ ∈ m), μ t :=
+    sInfGen m t = ⨅ (μ : OuterMeasure α) (_ : μ ∈ m), μ t :=
   rfl
 #align measure_theory.outer_measure.Inf_gen_def MeasureTheory.OuterMeasure.sInfGen_def
 
@@ -1156,7 +1156,7 @@ theorem sInf_eq_boundedBy_sInfGen (m : Set (OuterMeasure α)) :
 #align measure_theory.outer_measure.Inf_eq_bounded_by_Inf_gen MeasureTheory.OuterMeasure.sInf_eq_boundedBy_sInfGen
 
 theorem iSup_sInfGen_nonempty {m : Set (OuterMeasure α)} (h : m.Nonempty) (t : Set α) :
-    (⨆ _h : t.Nonempty, sInfGen m t) = ⨅ (μ : OuterMeasure α) (_h : μ ∈ m), μ t := by
+    (⨆ _ : t.Nonempty, sInfGen m t) = ⨅ (μ : OuterMeasure α) (_ : μ ∈ m), μ t := by
   rcases t.eq_empty_or_nonempty with (rfl | ht)
   · rcases h with ⟨μ, hμ⟩
     rw [eq_false Set.not_nonempty_empty, iSup_false, eq_comm]
@@ -1171,7 +1171,7 @@ the minimum value of a measure on that set: it is the infimum sum of measures of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
 theorem sInf_apply {m : Set (OuterMeasure α)} {s : Set α} (h : m.Nonempty) :
     sInf m s =
-      ⨅ (t : ℕ → Set α) (_h2 : s ⊆ iUnion t), ∑' n, ⨅ (μ : OuterMeasure α) (_h3 : μ ∈ m), μ (t n) :=
+      ⨅ (t : ℕ → Set α) (_ : s ⊆ iUnion t), ∑' n, ⨅ (μ : OuterMeasure α) (_ : μ ∈ m), μ (t n) :=
   by simp_rw [sInf_eq_boundedBy_sInfGen, boundedBy_apply, iSup_sInfGen_nonempty h]
 #align measure_theory.outer_measure.Inf_apply MeasureTheory.OuterMeasure.sInf_apply
 
@@ -1180,7 +1180,7 @@ the minimum value of a measure on that set: it is the infimum sum of measures of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
 theorem sInf_apply' {m : Set (OuterMeasure α)} {s : Set α} (h : s.Nonempty) :
     sInf m s =
-      ⨅ (t : ℕ → Set α) (_h2 : s ⊆ iUnion t), ∑' n, ⨅ (μ : OuterMeasure α) (_h3 : μ ∈ m), μ (t n) :=
+      ⨅ (t : ℕ → Set α) (_ : s ⊆ iUnion t), ∑' n, ⨅ (μ : OuterMeasure α) (_ : μ ∈ m), μ (t n) :=
   m.eq_empty_or_nonempty.elim (fun hm => by simp [hm, h]) sInf_apply
 #align measure_theory.outer_measure.Inf_apply' MeasureTheory.OuterMeasure.sInf_apply'
 
@@ -1188,7 +1188,7 @@ theorem sInf_apply' {m : Set (OuterMeasure α)} {s : Set α} (h : s.Nonempty) :
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
 theorem iInf_apply {ι} [Nonempty ι] (m : ι → OuterMeasure α) (s : Set α) :
-    (⨅ i, m i) s = ⨅ (t : ℕ → Set α) (_h2 : s ⊆ iUnion t), ∑' n, ⨅ i, m i (t n) := by
+    (⨅ i, m i) s = ⨅ (t : ℕ → Set α) (_ : s ⊆ iUnion t), ∑' n, ⨅ i, m i (t n) := by
   rw [iInf, sInf_apply (range_nonempty m)]
   simp only [iInf_range]
 #align measure_theory.outer_measure.infi_apply MeasureTheory.OuterMeasure.iInf_apply
@@ -1197,7 +1197,7 @@ theorem iInf_apply {ι} [Nonempty ι] (m : ι → OuterMeasure α) (s : Set α)
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
 theorem iInf_apply' {ι} (m : ι → OuterMeasure α) {s : Set α} (hs : s.Nonempty) :
-    (⨅ i, m i) s = ⨅ (t : ℕ → Set α) (_h2 : s ⊆ iUnion t), ∑' n, ⨅ i, m i (t n) := by
+    (⨅ i, m i) s = ⨅ (t : ℕ → Set α) (_ : s ⊆ iUnion t), ∑' n, ⨅ i, m i (t n) := by
   rw [iInf, sInf_apply' hs]
   simp only [iInf_range]
 #align measure_theory.outer_measure.infi_apply' MeasureTheory.OuterMeasure.iInf_apply'
@@ -1206,7 +1206,7 @@ theorem iInf_apply' {ι} (m : ι → OuterMeasure α) {s : Set α} (hs : s.Nonem
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
 theorem biInf_apply {ι} {I : Set ι} (hI : I.Nonempty) (m : ι → OuterMeasure α) (s : Set α) :
-    (⨅ i ∈ I, m i) s = ⨅ (t : ℕ → Set α) (_h2 : s ⊆ iUnion t), ∑' n, ⨅ i ∈ I, m i (t n) := by
+    (⨅ i ∈ I, m i) s = ⨅ (t : ℕ → Set α) (_ : s ⊆ iUnion t), ∑' n, ⨅ i ∈ I, m i (t n) := by
   haveI := hI.to_subtype
   simp only [← iInf_subtype'', iInf_apply]
 #align measure_theory.outer_measure.binfi_apply MeasureTheory.OuterMeasure.biInf_apply
@@ -1215,7 +1215,7 @@ theorem biInf_apply {ι} {I : Set ι} (hI : I.Nonempty) (m : ι → OuterMeasure
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
 theorem biInf_apply' {ι} (I : Set ι) (m : ι → OuterMeasure α) {s : Set α} (hs : s.Nonempty) :
-    (⨅ i ∈ I, m i) s = ⨅ (t : ℕ → Set α) (_h2 : s ⊆ iUnion t), ∑' n, ⨅ i ∈ I, m i (t n) := by
+    (⨅ i ∈ I, m i) s = ⨅ (t : ℕ → Set α) (_ : s ⊆ iUnion t), ∑' n, ⨅ i ∈ I, m i (t n) := by
   simp only [← iInf_subtype'', iInf_apply' _ hs]
 #align measure_theory.outer_measure.binfi_apply' MeasureTheory.OuterMeasure.biInf_apply'
 
@@ -1473,7 +1473,7 @@ theorem inducedOuterMeasure_eq' {s : Set α} (hs : P s) : inducedOuterMeasure m
 #align measure_theory.induced_outer_measure_eq' MeasureTheory.inducedOuterMeasure_eq'
 
 theorem inducedOuterMeasure_eq_iInf (s : Set α) :
-    inducedOuterMeasure m P0 m0 s = ⨅ (t : Set α) (ht : P t) (_h : s ⊆ t), m t ht := by
+    inducedOuterMeasure m P0 m0 s = ⨅ (t : Set α) (ht : P t) (_ : s ⊆ t), m t ht := by
   apply le_antisymm
   · simp only [le_iInf_iff]
     intro t ht hs
@@ -1652,7 +1652,7 @@ theorem trim_eq_trim_iff {m₁ m₂ : OuterMeasure α} :
   simp only [le_antisymm_iff, trim_le_trim_iff, forall_and]
 #align measure_theory.outer_measure.trim_eq_trim_iff MeasureTheory.OuterMeasure.trim_eq_trim_iff
 
-theorem trim_eq_iInf (s : Set α) : m.trim s = ⨅ (t) (_st : s ⊆ t) (_ht : MeasurableSet t), m t := by
+theorem trim_eq_iInf (s : Set α) : m.trim s = ⨅ (t) (_ : s ⊆ t) (_ : MeasurableSet t), m t := by
   simp (config := { singlePass := true }) only [iInf_comm]
   exact
     inducedOuterMeasure_eq_iInf MeasurableSet.iUnion (fun f _ => m.iUnion_nat f)

Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com> Co-authored-by: Chris Hughes <chrishughes24@gmail.com>

@@ -875,16 +875,16 @@ theorem le_boundedBy {μ : OuterMeasure α} : μ ≤ boundedBy m ↔ ∀ s, μ s
   cases' s.eq_empty_or_nonempty with h h <;> simp [h, Set.not_nonempty_empty]
 #align measure_theory.outer_measure.le_bounded_by MeasureTheory.OuterMeasure.le_boundedBy
 
-theorem le_bounded_by' {μ : OuterMeasure α} :
+theorem le_boundedBy' {μ : OuterMeasure α} :
     μ ≤ boundedBy m ↔ ∀ s : Set α, s.Nonempty → μ s ≤ m s := by
   rw [le_boundedBy, forall_congr']
   intro s
   cases' s.eq_empty_or_nonempty with h h <;> simp [h]
-#align measure_theory.outer_measure.le_bounded_by' MeasureTheory.OuterMeasure.le_bounded_by'
+#align measure_theory.outer_measure.le_bounded_by' MeasureTheory.OuterMeasure.le_boundedBy'
 
 @[simp]
 theorem boundedBy_top : boundedBy (⊤ : Set α → ℝ≥0∞) = ⊤ := by
-  rw [eq_top_iff, le_bounded_by']
+  rw [eq_top_iff, le_boundedBy']
   intro s hs
   rw [top_apply hs]
   exact le_rfl

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Mario Carneiro
 
 ! This file was ported from Lean 3 source module measure_theory.measure.outer_measure
-! leanprover-community/mathlib commit ec4b2eeb50364487f80421c0b4c41328a611f30d
+! leanprover-community/mathlib commit 343e80208d29d2d15f8050b929aa50fe4ce71b55
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -882,6 +882,20 @@ theorem le_bounded_by' {μ : OuterMeasure α} :
   cases' s.eq_empty_or_nonempty with h h <;> simp [h]
 #align measure_theory.outer_measure.le_bounded_by' MeasureTheory.OuterMeasure.le_bounded_by'
 
+@[simp]
+theorem boundedBy_top : boundedBy (⊤ : Set α → ℝ≥0∞) = ⊤ := by
+  rw [eq_top_iff, le_bounded_by']
+  intro s hs
+  rw [top_apply hs]
+  exact le_rfl
+#align measure_theory.outer_measure.bounded_by_top MeasureTheory.OuterMeasure.boundedBy_top
+
+@[simp]
+theorem boundedBy_zero : boundedBy (0 : Set α → ℝ≥0∞) = 0 := by
+  rw [← coe_bot, eq_bot_iff]
+  apply boundedBy_le
+#align measure_theory.outer_measure.bounded_by_zero MeasureTheory.OuterMeasure.boundedBy_zero
+
 theorem smul_boundedBy {c : ℝ≥0∞} (hc : c ≠ ∞) : c • boundedBy m = boundedBy (c • m) := by
   simp only [boundedBy , smul_ofFunction hc]
   congr 1 with s : 1
@@ -1334,6 +1348,11 @@ theorem extend_congr {β : Type _} {Pb : β → Prop} {mb : ∀ s : β, Pb s →
   iInf_congr_Prop hP fun _h => hm _ _
 #align measure_theory.extend_congr MeasureTheory.extend_congr
 
+@[simp]
+theorem extend_top {α : Type _} {P : α → Prop} : extend (fun _ _ => ∞ : ∀ s : α, P s → ℝ≥0∞) = ⊤ :=
+  funext fun _ => iInf_eq_top.mpr fun _ => rfl
+#align measure_theory.extend_top MeasureTheory.extend_top
+
 end Extend
 
 section ExtendSet
@@ -1648,6 +1667,11 @@ theorem trim_trim (m : OuterMeasure α) : m.trim.trim = m.trim :=
   trim_eq_trim_iff.2 fun _s => m.trim_eq
 #align measure_theory.outer_measure.trim_trim MeasureTheory.OuterMeasure.trim_trim
 
+@[simp]
+theorem trim_top : (⊤ : OuterMeasure α).trim = ⊤ :=
+  eq_top_iff.2 <| le_trim _
+#align measure_theory.outer_measure.trim_top MeasureTheory.OuterMeasure.trim_top
+
 @[simp]
 theorem trim_zero : (0 : OuterMeasure α).trim = 0 :=
   ext fun s =>

Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com>

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Mario Carneiro
 
 ! This file was ported from Lean 3 source module measure_theory.measure.outer_measure
-! leanprover-community/mathlib commit 32253a1a1071173b33dc7d6a218cf722c6feb514
+! leanprover-community/mathlib commit ec4b2eeb50364487f80421c0b4c41328a611f30d
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -431,11 +431,7 @@ theorem sup_apply (m₁ m₂ : OuterMeasure α) (s : Set α) : (m₁ ⊔ m₂) s
 
 theorem smul_iSup [SMul R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞] {ι} (f : ι → OuterMeasure α) (c : R) :
     (c • ⨆ i, f i) = ⨆ i, c • f i :=
-  ext fun s => by
-  rw [smul_apply, ← smul_one_mul, iSup]
-  simp only [iSup_apply, smul_apply, ← smul_one_mul c (f _ _)]
-  rw [←iSup, ←ENNReal.mul_iSup]
-  simp
+  ext fun s => by simp only [smul_apply, iSup_apply, ENNReal.smul_iSup]
 #align measure_theory.outer_measure.smul_supr MeasureTheory.OuterMeasure.smul_iSup
 
 end Supremum
@@ -1315,6 +1311,16 @@ theorem extend_eq {s : α} (h : P s) : extend m s = m s h := by simp [extend, h]
 theorem extend_eq_top {s : α} (h : ¬P s) : extend m s = ∞ := by simp [extend, h]
 #align measure_theory.extend_eq_top MeasureTheory.extend_eq_top
 
+theorem smul_extend {R} [Zero R] [SMulWithZero R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞]
+    [NoZeroSMulDivisors R ℝ≥0∞] {c : R} (hc : c ≠ 0) :
+    c • extend m = extend fun s h => c • m s h := by
+  ext1 s
+  dsimp [extend]
+  by_cases h : P s
+  · simp [h]
+  · simp [h, ENNReal.smul_top, hc]
+#align measure_theory.smul_extend MeasureTheory.smul_extend
+
 theorem le_extend {s : α} (h : P s) : m s h ≤ extend m s := by
   simp only [extend, le_iInf_iff]
   intro

As discussed on Zulip

Renames

• supₛ → sSup
• infₛ → sInf
• supᵢ → iSup
• infᵢ → iInf
• bsupₛ → bsSup
• binfₛ → bsInf
• bsupᵢ → biSup
• binfᵢ → biInf
• csupₛ → csSup
• cinfₛ → csInf
• csupᵢ → ciSup
• cinfᵢ → ciInf
• unionₛ → sUnion
• interₛ → sInter
• unionᵢ → iUnion
• interᵢ → iInter
• bunionₛ → bsUnion
• binterₛ → bsInter
• bunionᵢ → biUnion
• binterᵢ → biInter

Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>

@@ -42,7 +42,7 @@ for all sets `t` we have `m t = m (t ∩ s) + m (t \ s)`. This forms a measurabl
   If you know that the given functions sends `∅` to `0`, then `OuterMeasure.ofFunction` is a
   special case.
 * `caratheodory` is the Carathéodory-measurable space of an outer measure.
-* `infₛ_eq_boundedBy_infₛGen` is a characterization of the infimum of outer measures.
+* `sInf_eq_boundedBy_sInfGen` is a characterization of the infimum of outer measures.
 * `inducedOuterMeasure` is the measure induced by a function on a subset of `Set α`
 
 ## References
@@ -71,12 +71,12 @@ structure OuterMeasure (α : Type _) where
   measureOf : Set α → ℝ≥0∞
   empty : measureOf ∅ = 0
   mono : ∀ {s₁ s₂}, s₁ ⊆ s₂ → measureOf s₁ ≤ measureOf s₂
-  unionᵢ_nat : ∀ s : ℕ → Set α, measureOf (⋃ i, s i) ≤ ∑' i, measureOf (s i)
+  iUnion_nat : ∀ s : ℕ → Set α, measureOf (⋃ i, s i) ≤ ∑' i, measureOf (s i)
 #align measure_theory.outer_measure MeasureTheory.OuterMeasure
 #align measure_theory.outer_measure.measure_of MeasureTheory.OuterMeasure.measureOf
 #align measure_theory.outer_measure.empty MeasureTheory.OuterMeasure.empty
 #align measure_theory.outer_measure.mono MeasureTheory.OuterMeasure.mono
-#align measure_theory.outer_measure.Union_nat MeasureTheory.OuterMeasure.unionᵢ_nat
+#align measure_theory.outer_measure.Union_nat MeasureTheory.OuterMeasure.iUnion_nat
 
 namespace OuterMeasure
 
@@ -110,48 +110,48 @@ theorem pos_of_subset_ne_zero (m : OuterMeasure α) {a b : Set α} (hs : a ⊆ b
   lt_of_lt_of_le (pos_iff_ne_zero.mpr hnz) (m.mono hs)
 #align measure_theory.outer_measure.pos_of_subset_ne_zero MeasureTheory.OuterMeasure.pos_of_subset_ne_zero
 
-protected theorem unionᵢ (m : OuterMeasure α) {β} [Countable β] (s : β → Set α) :
+protected theorem iUnion (m : OuterMeasure α) {β} [Countable β] (s : β → Set α) :
     m (⋃ i, s i) ≤ ∑' i, m (s i) :=
-  rel_supᵢ_tsum m m.empty (· ≤ ·) m.unionᵢ_nat s
-#align measure_theory.outer_measure.Union MeasureTheory.OuterMeasure.unionᵢ
+  rel_iSup_tsum m m.empty (· ≤ ·) m.iUnion_nat s
+#align measure_theory.outer_measure.Union MeasureTheory.OuterMeasure.iUnion
 
-theorem unionᵢ_null [Countable β] (m : OuterMeasure α) {s : β → Set α} (h : ∀ i, m (s i) = 0) :
-    m (⋃ i, s i) = 0 := by simpa [h] using m.unionᵢ s
-#align measure_theory.outer_measure.Union_null MeasureTheory.OuterMeasure.unionᵢ_null
+theorem iUnion_null [Countable β] (m : OuterMeasure α) {s : β → Set α} (h : ∀ i, m (s i) = 0) :
+    m (⋃ i, s i) = 0 := by simpa [h] using m.iUnion s
+#align measure_theory.outer_measure.Union_null MeasureTheory.OuterMeasure.iUnion_null
 
 @[simp]
-theorem unionᵢ_null_iff [Countable β] (m : OuterMeasure α) {s : β → Set α} :
+theorem iUnion_null_iff [Countable β] (m : OuterMeasure α) {s : β → Set α} :
     m (⋃ i, s i) = 0 ↔ ∀ i, m (s i) = 0 :=
-  ⟨fun h _ => m.mono_null (subset_unionᵢ _ _) h, m.unionᵢ_null⟩
-#align measure_theory.outer_measure.Union_null_iff MeasureTheory.OuterMeasure.unionᵢ_null_iff
+  ⟨fun h _ => m.mono_null (subset_iUnion _ _) h, m.iUnion_null⟩
+#align measure_theory.outer_measure.Union_null_iff MeasureTheory.OuterMeasure.iUnion_null_iff
 
-/-- A version of `unionᵢ_null_iff` for unions indexed by Props.
-TODO: in the long run it would be better to combine this with `unionᵢ_null_iff` by
+/-- A version of `iUnion_null_iff` for unions indexed by Props.
+TODO: in the long run it would be better to combine this with `iUnion_null_iff` by
 generalising to `Sort`. -/
 @[simp]
-theorem unionᵢ_null_iff' (m : OuterMeasure α) {ι : Prop} {s : ι → Set α} :
+theorem iUnion_null_iff' (m : OuterMeasure α) {ι : Prop} {s : ι → Set α} :
     m (⋃ i, s i) = 0 ↔ ∀ i, m (s i) = 0 :=
-    ⟨ fun h i => mono_null m (subset_unionᵢ s i) h,
+    ⟨ fun h i => mono_null m (subset_iUnion s i) h,
       by by_cases i : ι <;> simp [i]; exact (fun h => h (Iff.mpr (Iff.of_eq (eq_true i)) trivial)) ⟩
-#align measure_theory.outer_measure.Union_null_iff' MeasureTheory.OuterMeasure.unionᵢ_null_iff'
+#align measure_theory.outer_measure.Union_null_iff' MeasureTheory.OuterMeasure.iUnion_null_iff'
 
-theorem bunionᵢ_null_iff (m : OuterMeasure α) {s : Set β} (hs : s.Countable) {t : β → Set α} :
+theorem biUnion_null_iff (m : OuterMeasure α) {s : Set β} (hs : s.Countable) {t : β → Set α} :
     m (⋃ i ∈ s, t i) = 0 ↔ ∀ i ∈ s, m (t i) = 0 := by
   haveI := hs.toEncodable
-  rw [bunionᵢ_eq_unionᵢ, unionᵢ_null_iff, SetCoe.forall']
-#align measure_theory.outer_measure.bUnion_null_iff MeasureTheory.OuterMeasure.bunionᵢ_null_iff
+  rw [biUnion_eq_iUnion, iUnion_null_iff, SetCoe.forall']
+#align measure_theory.outer_measure.bUnion_null_iff MeasureTheory.OuterMeasure.biUnion_null_iff
 
-theorem unionₛ_null_iff (m : OuterMeasure α) {S : Set (Set α)} (hS : S.Countable) :
-    m (⋃₀ S) = 0 ↔ ∀ s ∈ S, m s = 0 := by rw [unionₛ_eq_bunionᵢ, m.bunionᵢ_null_iff hS]
-#align measure_theory.outer_measure.sUnion_null_iff MeasureTheory.OuterMeasure.unionₛ_null_iff
+theorem sUnion_null_iff (m : OuterMeasure α) {S : Set (Set α)} (hS : S.Countable) :
+    m (⋃₀ S) = 0 ↔ ∀ s ∈ S, m s = 0 := by rw [sUnion_eq_biUnion, m.biUnion_null_iff hS]
+#align measure_theory.outer_measure.sUnion_null_iff MeasureTheory.OuterMeasure.sUnion_null_iff
 
-protected theorem unionᵢ_finset (m : OuterMeasure α) (s : β → Set α) (t : Finset β) :
+protected theorem iUnion_finset (m : OuterMeasure α) (s : β → Set α) (t : Finset β) :
     m (⋃ i ∈ t, s i) ≤ ∑ i in t, m (s i) :=
-  rel_supᵢ_sum m m.empty (· ≤ ·) m.unionᵢ_nat s t
-#align measure_theory.outer_measure.Union_finset MeasureTheory.OuterMeasure.unionᵢ_finset
+  rel_iSup_sum m m.empty (· ≤ ·) m.iUnion_nat s t
+#align measure_theory.outer_measure.Union_finset MeasureTheory.OuterMeasure.iUnion_finset
 
 protected theorem union (m : OuterMeasure α) (s₁ s₂ : Set α) : m (s₁ ∪ s₂) ≤ m s₁ + m s₂ :=
-  rel_sup_add m m.empty (· ≤ ·) m.unionᵢ_nat s₁ s₂
+  rel_sup_add m m.empty (· ≤ ·) m.iUnion_nat s₁ s₂
 #align measure_theory.outer_measure.union MeasureTheory.OuterMeasure.union
 
 /-- If a set has zero measure in a neighborhood of each of its points, then it has zero measure
@@ -162,7 +162,7 @@ theorem null_of_locally_null [TopologicalSpace α] [SecondCountableTopology α]
   choose t ht using TopologicalSpace.countable_cover_nhdsWithin hxu
   rcases ht with ⟨ts, t_count, ht⟩
   apply m.mono_null ht
-  exact (m.bunionᵢ_null_iff t_count).2 fun x hx => hu₀ x (ts hx)
+  exact (m.biUnion_null_iff t_count).2 fun x hx => hu₀ x (ts hx)
 #align measure_theory.outer_measure.null_of_locally_null MeasureTheory.OuterMeasure.null_of_locally_null
 
 /-- If `m s ≠ 0`, then for some point `x ∈ s` and any `t ∈ 𝓝[s] x` we have `0 < m t`. -/
@@ -178,33 +178,33 @@ theorem exists_mem_forall_mem_nhds_within_pos [TopologicalSpace α] [SecondCount
 
 /-- If `s : ι → Set α` is a sequence of sets, `S = ⋃ n, s n`, and `m (S \ s n)` tends to zero along
 some nontrivial filter (usually `atTop` on `ι = ℕ`), then `m S = ⨆ n, m (s n)`. -/
-theorem unionᵢ_of_tendsto_zero {ι} (m : OuterMeasure α) {s : ι → Set α} (l : Filter ι) [NeBot l]
+theorem iUnion_of_tendsto_zero {ι} (m : OuterMeasure α) {s : ι → Set α} (l : Filter ι) [NeBot l]
     (h0 : Tendsto (fun k => m ((⋃ n, s n) \ s k)) l (𝓝 0)) : m (⋃ n, s n) = ⨆ n, m (s n) := by
   set S := ⋃ n, s n
   set M := ⨆ n, m (s n)
-  have hsS : ∀ {k}, s k ⊆ S := fun {k} => subset_unionᵢ _ _
-  refine' le_antisymm _ (supᵢ_le fun n => m.mono hsS)
+  have hsS : ∀ {k}, s k ⊆ S := fun {k} => subset_iUnion _ _
+  refine' le_antisymm _ (iSup_le fun n => m.mono hsS)
   have A : ∀ k, m S ≤ M + m (S \ s k) := fun k =>
     calc
       m S = m (s k ∪ S \ s k) := by rw [union_diff_self, union_eq_self_of_subset_left hsS]
       _ ≤ m (s k) + m (S \ s k) := (m.union _ _)
-      _ ≤ M + m (S \ s k) := add_le_add_right (le_supᵢ (m.measureOf ∘ s) k) _
+      _ ≤ M + m (S \ s k) := add_le_add_right (le_iSup (m.measureOf ∘ s) k) _
   have B : Tendsto (fun k => M + m (S \ s k)) l (𝓝 (M + 0)) := tendsto_const_nhds.add h0
   rw [add_zero] at B
   exact ge_of_tendsto' B A
-#align measure_theory.outer_measure.Union_of_tendsto_zero MeasureTheory.OuterMeasure.unionᵢ_of_tendsto_zero
+#align measure_theory.outer_measure.Union_of_tendsto_zero MeasureTheory.OuterMeasure.iUnion_of_tendsto_zero
 
 /-- If `s : ℕ → Set α` is a monotone sequence of sets such that `∑' k, m (s (k + 1) \ s k) ≠ ∞`,
 then `m (⋃ n, s n) = ⨆ n, m (s n)`. -/
-theorem unionᵢ_nat_of_monotone_of_tsum_ne_top (m : OuterMeasure α) {s : ℕ → Set α}
+theorem iUnion_nat_of_monotone_of_tsum_ne_top (m : OuterMeasure α) {s : ℕ → Set α}
     (h_mono : ∀ n, s n ⊆ s (n + 1)) (h0 : (∑' k, m (s (k + 1) \ s k)) ≠ ∞)
     [∀ i:ℕ, DecidablePred (· ∈ s i)] : m (⋃ n, s n) = ⨆ n, m (s n) := by
-  refine' m.unionᵢ_of_tendsto_zero atTop _
+  refine' m.iUnion_of_tendsto_zero atTop _
   refine' tendsto_nhds_bot_mono' (ENNReal.tendsto_sum_nat_add _ h0) fun n => _
-  refine' (m.mono _).trans (m.unionᵢ _)
+  refine' (m.mono _).trans (m.iUnion _)
   -- Current goal: `(⋃ k, s k) \ s n ⊆ ⋃ k, s (k + n + 1) \ s (k + n)`
   have h' : Monotone s := @monotone_nat_of_le_succ (Set α) _ _ h_mono
-  simp only [diff_subset_iff, unionᵢ_subset_iff]
+  simp only [diff_subset_iff, iUnion_subset_iff]
   intro i x hx
   have : ∃i, x ∈ s i := by exists i
   rcases Nat.findX this with ⟨j, hj, hlt⟩
@@ -212,10 +212,10 @@ theorem unionᵢ_nat_of_monotone_of_tsum_ne_top (m : OuterMeasure α) {s : ℕ 
   cases' le_or_lt j n with hjn hnj
   · exact Or.inl (h' hjn hj)
   have : j - (n + 1) + n + 1 = j := by rw [add_assoc, tsub_add_cancel_of_le hnj.nat_succ_le]
-  refine' Or.inr (mem_unionᵢ.2 ⟨j - (n + 1), _, hlt _ _⟩)
+  refine' Or.inr (mem_iUnion.2 ⟨j - (n + 1), _, hlt _ _⟩)
   · rwa [this]
   · rw [← Nat.succ_le_iff, Nat.succ_eq_add_one, this]
-#align measure_theory.outer_measure.Union_nat_of_monotone_of_tsum_ne_top MeasureTheory.OuterMeasure.unionᵢ_nat_of_monotone_of_tsum_ne_top
+#align measure_theory.outer_measure.Union_nat_of_monotone_of_tsum_ne_top MeasureTheory.OuterMeasure.iUnion_nat_of_monotone_of_tsum_ne_top
 
 theorem le_inter_add_diff {m : OuterMeasure α} {t : Set α} (s : Set α) :
     m t ≤ m (t ∩ s) + m (t \ s) := by
@@ -256,7 +256,7 @@ instance instZero : Zero (OuterMeasure α) :=
   ⟨{  measureOf := fun _ => 0
       empty := rfl
       mono := by intro _ _ _; exact le_refl 0
-      unionᵢ_nat := fun s => zero_le _ }⟩
+      iUnion_nat := fun s => zero_le _ }⟩
 #align measure_theory.outer_measure.has_zero MeasureTheory.OuterMeasure.instZero
 
 @[simp]
@@ -273,10 +273,10 @@ instance instAdd : Add (OuterMeasure α) :=
     { measureOf := fun s => m₁ s + m₂ s
       empty := show m₁ ∅ + m₂ ∅ = 0 by simp [OuterMeasure.empty]
       mono := fun {s₁ s₂} h => add_le_add (m₁.mono h) (m₂.mono h)
-      unionᵢ_nat := fun s =>
+      iUnion_nat := fun s =>
         calc
           m₁ (⋃ i, s i) + m₂ (⋃ i, s i) ≤ (∑' i, m₁ (s i)) + ∑' i, m₂ (s i) :=
-            add_le_add (m₁.unionᵢ_nat s) (m₂.unionᵢ_nat s)
+            add_le_add (m₁.iUnion_nat s) (m₂.iUnion_nat s)
           _ = _ := ENNReal.tsum_add.symm
            }⟩
 #align measure_theory.outer_measure.has_add MeasureTheory.OuterMeasure.instAdd
@@ -304,9 +304,9 @@ instance instSMul : SMul R (OuterMeasure α) :=
         simp
         rw [← smul_one_mul c, ← smul_one_mul c (m t)]
         exact ENNReal.mul_left_mono (m.mono h)
-      unionᵢ_nat := fun s => by
+      iUnion_nat := fun s => by
         simp_rw [← smul_one_mul c (m _), ENNReal.tsum_mul_left]
-        exact ENNReal.mul_left_mono (m.unionᵢ_nat _) }⟩
+        exact ENNReal.mul_left_mono (m.iUnion_nat _) }⟩
 
 @[simp]
 theorem coe_smul (c : R) (m : OuterMeasure α) : ⇑(c • m) = c • ⇑m :=
@@ -391,52 +391,52 @@ section Supremum
 instance instSupSet : SupSet (OuterMeasure α) :=
   ⟨fun ms =>
     { measureOf := fun s => ⨆ m ∈ ms, (m : OuterMeasure α) s
-      empty := nonpos_iff_eq_zero.1 <| supᵢ₂_le fun m _ => le_of_eq m.empty
-      mono := fun {s₁ s₂} hs => supᵢ₂_mono fun m _ => m.mono hs
-      unionᵢ_nat := fun f =>
-        supᵢ₂_le fun m hm =>
+      empty := nonpos_iff_eq_zero.1 <| iSup₂_le fun m _ => le_of_eq m.empty
+      mono := fun {s₁ s₂} hs => iSup₂_mono fun m _ => m.mono hs
+      iUnion_nat := fun f =>
+        iSup₂_le fun m hm =>
           calc
-            m (⋃ i, f i) ≤ ∑' i : ℕ, m (f i) := m.unionᵢ_nat _
+            m (⋃ i, f i) ≤ ∑' i : ℕ, m (f i) := m.iUnion_nat _
             _ ≤ ∑' i, ⨆ m ∈ ms, (m : OuterMeasure α) (f i) :=
-               ENNReal.tsum_le_tsum fun i => by apply le_supᵢ₂ m hm
+               ENNReal.tsum_le_tsum fun i => by apply le_iSup₂ m hm
              }⟩
 #align measure_theory.outer_measure.has_Sup MeasureTheory.OuterMeasure.instSupSet
 
 instance instCompleteLattice : CompleteLattice (OuterMeasure α) :=
   { OuterMeasure.orderBot,
     completeLatticeOfSup (OuterMeasure α) fun ms =>
-      ⟨fun m hm s => by apply le_supᵢ₂ m hm, fun m hm s => supᵢ₂_le fun m' hm' => hm hm' s⟩ with }
+      ⟨fun m hm s => by apply le_iSup₂ m hm, fun m hm s => iSup₂_le fun m' hm' => hm hm' s⟩ with }
 #align measure_theory.outer_measure.complete_lattice MeasureTheory.OuterMeasure.instCompleteLattice
 
 @[simp]
-theorem supₛ_apply (ms : Set (OuterMeasure α)) (s : Set α) :
-    (supₛ ms) s = ⨆ m ∈ ms, (m : OuterMeasure α) s :=
+theorem sSup_apply (ms : Set (OuterMeasure α)) (s : Set α) :
+    (sSup ms) s = ⨆ m ∈ ms, (m : OuterMeasure α) s :=
   rfl
-#align measure_theory.outer_measure.Sup_apply MeasureTheory.OuterMeasure.supₛ_apply
+#align measure_theory.outer_measure.Sup_apply MeasureTheory.OuterMeasure.sSup_apply
 
 @[simp]
-theorem supᵢ_apply {ι} (f : ι → OuterMeasure α) (s : Set α) : (⨆ i : ι, f i) s = ⨆ i, f i s := by
-  rw [supᵢ, supₛ_apply, supᵢ_range, supᵢ]
-#align measure_theory.outer_measure.supr_apply MeasureTheory.OuterMeasure.supᵢ_apply
+theorem iSup_apply {ι} (f : ι → OuterMeasure α) (s : Set α) : (⨆ i : ι, f i) s = ⨆ i, f i s := by
+  rw [iSup, sSup_apply, iSup_range, iSup]
+#align measure_theory.outer_measure.supr_apply MeasureTheory.OuterMeasure.iSup_apply
 
 @[norm_cast]
-theorem coe_supᵢ {ι} (f : ι → OuterMeasure α) : ⇑(⨆ i, f i) = ⨆ i, ⇑(f i) :=
+theorem coe_iSup {ι} (f : ι → OuterMeasure α) : ⇑(⨆ i, f i) = ⨆ i, ⇑(f i) :=
   funext fun s => by simp
-#align measure_theory.outer_measure.coe_supr MeasureTheory.OuterMeasure.coe_supᵢ
+#align measure_theory.outer_measure.coe_supr MeasureTheory.OuterMeasure.coe_iSup
 
 @[simp]
 theorem sup_apply (m₁ m₂ : OuterMeasure α) (s : Set α) : (m₁ ⊔ m₂) s = m₁ s ⊔ m₂ s := by
-  have := supᵢ_apply (fun b => cond b m₁ m₂) s; rwa [supᵢ_bool_eq, supᵢ_bool_eq] at this
+  have := iSup_apply (fun b => cond b m₁ m₂) s; rwa [iSup_bool_eq, iSup_bool_eq] at this
 #align measure_theory.outer_measure.sup_apply MeasureTheory.OuterMeasure.sup_apply
 
-theorem smul_supᵢ [SMul R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞] {ι} (f : ι → OuterMeasure α) (c : R) :
+theorem smul_iSup [SMul R ℝ≥0∞] [IsScalarTower R ℝ≥0∞ ℝ≥0∞] {ι} (f : ι → OuterMeasure α) (c : R) :
     (c • ⨆ i, f i) = ⨆ i, c • f i :=
   ext fun s => by
-  rw [smul_apply, ← smul_one_mul, supᵢ]
-  simp only [supᵢ_apply, smul_apply, ← smul_one_mul c (f _ _)]
-  rw [←supᵢ, ←ENNReal.mul_supᵢ]
+  rw [smul_apply, ← smul_one_mul, iSup]
+  simp only [iSup_apply, smul_apply, ← smul_one_mul c (f _ _)]
+  rw [←iSup, ←ENNReal.mul_iSup]
   simp
-#align measure_theory.outer_measure.smul_supr MeasureTheory.OuterMeasure.smul_supᵢ
+#align measure_theory.outer_measure.smul_supr MeasureTheory.OuterMeasure.smul_iSup
 
 end Supremum
 
@@ -452,7 +452,7 @@ def map {β} (f : α → β) : OuterMeasure α →ₗ[ℝ≥0∞] OuterMeasure 
     { measureOf := fun s => m (f ⁻¹' s)
       empty := m.empty
       mono := fun {s t} h => m.mono (preimage_mono h)
-      unionᵢ_nat := fun s => by simp; apply m.unionᵢ_nat fun i => f ⁻¹' s i }
+      iUnion_nat := fun s => by simp; apply m.iUnion_nat fun i => f ⁻¹' s i }
   map_add' m₁ m₂ := coe_fn_injective rfl
   map_smul' c m := coe_fn_injective rfl
 #align measure_theory.outer_measure.map MeasureTheory.OuterMeasure.map
@@ -483,9 +483,9 @@ theorem map_sup {β} (f : α → β) (m m' : OuterMeasure α) : map f (m ⊔ m')
 #align measure_theory.outer_measure.map_sup MeasureTheory.OuterMeasure.map_sup
 
 @[simp]
-theorem map_supᵢ {β ι} (f : α → β) (m : ι → OuterMeasure α) : map f (⨆ i, m i) = ⨆ i, map f (m i) :=
-  ext fun s => by simp only [map_apply, supᵢ_apply]
-#align measure_theory.outer_measure.map_supr MeasureTheory.OuterMeasure.map_supᵢ
+theorem map_iSup {β ι} (f : α → β) (m : ι → OuterMeasure α) : map f (⨆ i, m i) = ⨆ i, map f (m i) :=
+  ext fun s => by simp only [map_apply, iSup_apply]
+#align measure_theory.outer_measure.map_supr MeasureTheory.OuterMeasure.map_iSup
 
 instance instFunctor : Functor OuterMeasure where map {_ _} f := map f
 #align measure_theory.outer_measure.functor MeasureTheory.OuterMeasure.instFunctor
@@ -498,9 +498,9 @@ def dirac (a : α) : OuterMeasure α where
   measureOf s := indicator s (fun _ => 1) a
   empty := by simp
   mono {s t} h := indicator_le_indicator_of_subset h (fun _ => zero_le _) a
-  unionᵢ_nat s :=
+  iUnion_nat s :=
     if hs : a ∈ ⋃ n, s n then
-      let ⟨i, hi⟩ := mem_unionᵢ.1 hs
+      let ⟨i, hi⟩ := mem_iUnion.1 hs
       calc
         indicator (⋃ n, s n) (fun _ => (1 : ℝ≥0∞)) a = 1 := indicator_of_mem hs _
         _ = indicator (s i) (fun _ => 1) a := Eq.symm (indicator_of_mem hi _)
@@ -519,8 +519,8 @@ def sum {ι} (f : ι → OuterMeasure α) : OuterMeasure α where
   measureOf s := ∑' i, f i s
   empty := by simp
   mono {s t} h := ENNReal.tsum_le_tsum fun i => (f i).mono' h
-  unionᵢ_nat s := by
-    rw [ENNReal.tsum_comm]; exact ENNReal.tsum_le_tsum fun i => (f i).unionᵢ_nat _
+  iUnion_nat s := by
+    rw [ENNReal.tsum_comm]; exact ENNReal.tsum_le_tsum fun i => (f i).iUnion_nat _
 #align measure_theory.outer_measure.sum MeasureTheory.OuterMeasure.sum
 
 @[simp]
@@ -539,10 +539,10 @@ def comap {β} (f : α → β) : OuterMeasure β →ₗ[ℝ≥0∞] OuterMeasure
     { measureOf := fun s => m (f '' s)
       empty := by simp
       mono := fun {s t} h => m.mono <| image_subset f h
-      unionᵢ_nat := fun s => by
+      iUnion_nat := fun s => by
         simp
-        rw [image_unionᵢ]
-        apply m.unionᵢ_nat }
+        rw [image_iUnion]
+        apply m.iUnion_nat }
   map_add' m₁ m₂ := rfl
   map_smul' c m := rfl
 #align measure_theory.outer_measure.comap MeasureTheory.OuterMeasure.comap
@@ -557,10 +557,10 @@ theorem comap_mono {β} (f : α → β) : Monotone (comap f) := fun _ _ h _ => h
 #align measure_theory.outer_measure.comap_mono MeasureTheory.OuterMeasure.comap_mono
 
 @[simp]
-theorem comap_supᵢ {β ι} (f : α → β) (m : ι → OuterMeasure β) :
+theorem comap_iSup {β ι} (f : α → β) (m : ι → OuterMeasure β) :
     comap f (⨆ i, m i) = ⨆ i, comap f (m i) :=
-  ext fun s => by simp only [comap_apply, supᵢ_apply]
-#align measure_theory.outer_measure.comap_supr MeasureTheory.OuterMeasure.comap_supᵢ
+  ext fun s => by simp only [comap_apply, iSup_apply]
+#align measure_theory.outer_measure.comap_supr MeasureTheory.OuterMeasure.comap_iSup
 
 /-- Restrict an `OuterMeasure` to a set. -/
 def restrict (s : Set α) : OuterMeasure α →ₗ[ℝ≥0∞] OuterMeasure α :=
@@ -590,9 +590,9 @@ theorem restrict_empty (m : OuterMeasure α) : restrict ∅ m = 0 :=
 #align measure_theory.outer_measure.restrict_empty MeasureTheory.OuterMeasure.restrict_empty
 
 @[simp]
-theorem restrict_supᵢ {ι} (s : Set α) (m : ι → OuterMeasure α) :
+theorem restrict_iSup {ι} (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨆ i, m i) = ⨆ i, restrict s (m i) := by simp [restrict]
-#align measure_theory.outer_measure.restrict_supr MeasureTheory.OuterMeasure.restrict_supᵢ
+#align measure_theory.outer_measure.restrict_supr MeasureTheory.OuterMeasure.restrict_iSup
 
 theorem map_comap {β} (f : α → β) (m : OuterMeasure β) : map f (comap f m) = restrict (range f) m :=
   ext fun s => congr_arg m <| by simp only [image_preimage_eq_inter_range, Subtype.range_coe]
@@ -628,7 +628,7 @@ theorem comap_map {β} {f : α → β} (hf : Injective f) (m : OuterMeasure α)
 @[simp]
 theorem top_apply {s : Set α} (h : s.Nonempty) : (⊤ : OuterMeasure α) s = ∞ :=
   let ⟨a, as⟩ := h
-  top_unique <| le_trans (by simp [smul_dirac_apply, as]) (le_supᵢ₂ (∞ • dirac a) trivial)
+  top_unique <| le_trans (by simp [smul_dirac_apply, as]) (le_iSup₂ (∞ • dirac a) trivial)
 #align measure_theory.outer_measure.top_apply MeasureTheory.OuterMeasure.top_apply
 
 theorem top_apply' (s : Set α) : (⊤ : OuterMeasure α) s = ⨅ h : s = ∅, 0 :=
@@ -665,10 +665,10 @@ protected def ofFunction : OuterMeasure α :=
   { measureOf := μ
     empty :=
       le_antisymm
-        ((infᵢ_le_of_le fun _ => ∅) <| infᵢ_le_of_le (empty_subset _) <| by simp [m_empty])
+        ((iInf_le_of_le fun _ => ∅) <| iInf_le_of_le (empty_subset _) <| by simp [m_empty])
         (zero_le _)
-    mono := fun {s₁ s₂} hs => infᵢ_mono fun f => infᵢ_mono' fun hb => ⟨hs.trans hb, le_rfl⟩
-    unionᵢ_nat := fun s =>
+    mono := fun {s₁ s₂} hs => iInf_mono fun f => iInf_mono' fun hb => ⟨hs.trans hb, le_rfl⟩
+    iUnion_nat := fun s =>
       ENNReal.le_of_forall_pos_le_add <| by
         intro ε hε (hb : (∑' i, μ (s i)) < ∞)
         rcases ENNReal.exists_pos_sum_of_countable (ENNReal.coe_pos.2 hε).ne' ℕ with ⟨ε', hε', hl⟩
@@ -680,25 +680,25 @@ protected def ofFunction : OuterMeasure α :=
             have : μ (s i) < μ (s i) + ε' i :=
               ENNReal.lt_add_right (ne_top_of_le_ne_top hb.ne <| ENNReal.le_tsum _)
                 (by simpa using (hε' i).ne')
-            rcases infᵢ_lt_iff.mp this with ⟨t, ht⟩
+            rcases iInf_lt_iff.mp this with ⟨t, ht⟩
             exists t
             contrapose! ht
-            exact le_infᵢ ht
+            exact le_iInf ht
         refine' le_trans _ (ENNReal.tsum_le_tsum fun i => le_of_lt (hf i).2)
         rw [← ENNReal.tsum_prod, ← Nat.pairEquiv.symm.tsum_eq]
-        refine' infᵢ_le_of_le _ (infᵢ_le _ _)
-        apply unionᵢ_subset
+        refine' iInf_le_of_le _ (iInf_le _ _)
+        apply iUnion_subset
         intro i
         apply Subset.trans (hf i).1
-        apply unionᵢ_subset
+        apply iUnion_subset
         simp
-        rw [unionᵢ_unpair]
+        rw [iUnion_unpair]
         intro j
-        apply subset_unionᵢ₂ i }
+        apply subset_iUnion₂ i }
 #align measure_theory.outer_measure.of_function MeasureTheory.OuterMeasure.ofFunction
 
 theorem ofFunction_apply (s : Set α) :
-    OuterMeasure.ofFunction m m_empty s = ⨅ (t : ℕ → Set α) (_h : s ⊆ unionᵢ t), ∑' n, m (t n) :=
+    OuterMeasure.ofFunction m m_empty s = ⨅ (t : ℕ → Set α) (_h : s ⊆ iUnion t), ∑' n, m (t n) :=
   rfl
 #align measure_theory.outer_measure.of_function_apply MeasureTheory.OuterMeasure.ofFunction_apply
 
@@ -706,8 +706,8 @@ variable {m m_empty}
 
 theorem ofFunction_le (s : Set α) : OuterMeasure.ofFunction m m_empty s ≤ m s :=
   let f : ℕ → Set α := fun i => Nat.casesOn i s fun _ => ∅
-  infᵢ_le_of_le f <|
-    infᵢ_le_of_le (subset_unionᵢ f 0) <|
+  iInf_le_of_le f <|
+    iInf_le_of_le (subset_iUnion f 0) <|
       le_of_eq <| tsum_eq_single 0 <| by rintro (_ | i); simp; simp [m_empty]
 #align measure_theory.outer_measure.of_function_le MeasureTheory.OuterMeasure.ofFunction_le
 
@@ -715,15 +715,15 @@ theorem ofFunction_eq (s : Set α) (m_mono : ∀ ⦃t : Set α⦄, s ⊆ t → m
     (m_subadd : ∀ s : ℕ → Set α, m (⋃ i, s i) ≤ ∑' i, m (s i)) :
     OuterMeasure.ofFunction m m_empty s = m s :=
   le_antisymm (ofFunction_le s) <|
-    le_infᵢ fun f => le_infᵢ fun hf => le_trans (m_mono hf) (m_subadd f)
+    le_iInf fun f => le_iInf fun hf => le_trans (m_mono hf) (m_subadd f)
 #align measure_theory.outer_measure.of_function_eq MeasureTheory.OuterMeasure.ofFunction_eq
 
 theorem le_ofFunction {μ : OuterMeasure α} :
     μ ≤ OuterMeasure.ofFunction m m_empty ↔ ∀ s, μ s ≤ m s :=
   ⟨fun H s => le_trans (H s) (ofFunction_le s), fun H _ =>
-    le_infᵢ fun f =>
-      le_infᵢ fun hs =>
-        le_trans (μ.mono hs) <| le_trans (μ.unionᵢ f) <| ENNReal.tsum_le_tsum fun _ => H _⟩
+    le_iInf fun f =>
+      le_iInf fun hs =>
+        le_trans (μ.mono hs) <| le_trans (μ.iUnion f) <| ENNReal.tsum_le_tsum fun _ => H _⟩
 #align measure_theory.outer_measure.le_of_function MeasureTheory.OuterMeasure.le_ofFunction
 
 theorem isGreatest_ofFunction :
@@ -731,9 +731,9 @@ theorem isGreatest_ofFunction :
   ⟨fun _ => ofFunction_le _, fun _ => le_ofFunction.2⟩
 #align measure_theory.outer_measure.is_greatest_of_function MeasureTheory.OuterMeasure.isGreatest_ofFunction
 
-theorem ofFunction_eq_supₛ : OuterMeasure.ofFunction m m_empty = supₛ { μ | ∀ s, μ s ≤ m s } :=
-  (@isGreatest_ofFunction α m m_empty).isLUB.supₛ_eq.symm
-#align measure_theory.outer_measure.of_function_eq_Sup MeasureTheory.OuterMeasure.ofFunction_eq_supₛ
+theorem ofFunction_eq_sSup : OuterMeasure.ofFunction m m_empty = sSup { μ | ∀ s, μ s ≤ m s } :=
+  (@isGreatest_ofFunction α m m_empty).isLUB.sSup_eq.symm
+#align measure_theory.outer_measure.of_function_eq_Sup MeasureTheory.OuterMeasure.ofFunction_eq_sSup
 
 /-- If `m u = ∞` for any set `u` that has nonempty intersection both with `s` and `t`, then
 `μ (s ∪ t) = μ s + μ t`, where `μ = MeasureTheory.OuterMeasure.ofFunction m m_empty`.
@@ -745,7 +745,7 @@ theorem ofFunction_union_of_top_of_nonempty_inter {s t : Set α}
     (h : ∀ u, (s ∩ u).Nonempty → (t ∩ u).Nonempty → m u = ∞) :
     OuterMeasure.ofFunction m m_empty (s ∪ t) =
       OuterMeasure.ofFunction m m_empty s + OuterMeasure.ofFunction m m_empty t := by
-  refine' le_antisymm (OuterMeasure.union _ _ _) (le_infᵢ fun f => le_infᵢ fun hf => _)
+  refine' le_antisymm (OuterMeasure.union _ _ _) (le_iInf fun f => le_iInf fun hf => _)
   set μ := OuterMeasure.ofFunction m m_empty
   rcases Classical.em (∃ i, (s ∩ f i).Nonempty ∧ (t ∩ f i).Nonempty) with (⟨i, hs, ht⟩ | he)
   ·
@@ -760,9 +760,9 @@ theorem ofFunction_union_of_top_of_nonempty_inter {s t : Set α}
     calc
       μ u ≤ μ (⋃ i : I u, f i) :=
         μ.mono fun x hx =>
-          let ⟨i, hi⟩ := mem_unionᵢ.1 (hf (hu hx))
-          mem_unionᵢ.2 ⟨⟨i, ⟨x, hx, hi⟩⟩, hi⟩
-      _ ≤ ∑' i : I u, μ (f i) := μ.unionᵢ _
+          let ⟨i, hi⟩ := mem_iUnion.1 (hf (hu hx))
+          mem_iUnion.2 ⟨⟨i, ⟨x, hx, hi⟩⟩, hi⟩
+      _ ≤ ∑' i : I u, μ (f i) := μ.iUnion _
 
   calc
     μ s + μ t ≤ (∑' i : I s, μ (f i)) + ∑' i : I t, μ (f i) :=
@@ -784,9 +784,9 @@ theorem comap_ofFunction {β} (f : β → α) (h : Monotone m ∨ Surjective f)
   · rw [comap_apply]
     apply ofFunction_le
   · rw [comap_apply, ofFunction_apply, ofFunction_apply]
-    refine' infᵢ_mono' fun t => ⟨fun k => f ⁻¹' t k, _⟩
-    refine' infᵢ_mono' fun ht => _
-    rw [Set.image_subset_iff, preimage_unionᵢ] at ht
+    refine' iInf_mono' fun t => ⟨fun k => f ⁻¹' t k, _⟩
+    refine' iInf_mono' fun ht => _
+    rw [Set.image_subset_iff, preimage_iUnion] at ht
     refine' ⟨ht, ENNReal.tsum_le_tsum fun n => _⟩
     cases' h with hl hr
     exacts [hl (image_preimage_subset _ _), (congr_arg m (hr.image_preimage (t n))).le]
@@ -804,10 +804,10 @@ theorem map_ofFunction {β} {f : α → β} (hf : Injective f) :
     map f (OuterMeasure.ofFunction m m_empty) =
       OuterMeasure.ofFunction (fun s => m (f ⁻¹' s)) m_empty := by
   refine' (map_ofFunction_le _).antisymm fun s => _
-  simp only [ofFunction_apply, map_apply, le_infᵢ_iff]
+  simp only [ofFunction_apply, map_apply, le_iInf_iff]
   intro t ht
-  refine' infᵢ_le_of_le (fun n => range fᶜ ∪ f '' t n) (infᵢ_le_of_le _ _)
-  · rw [← union_unionᵢ, ← inter_subset, ← image_preimage_eq_inter_range, ← image_unionᵢ]
+  refine' iInf_le_of_le (fun n => range fᶜ ∪ f '' t n) (iInf_le_of_le _ _)
+  · rw [← union_iUnion, ← inter_subset, ← image_preimage_eq_inter_range, ← image_iUnion]
     exact image_subset _ ht
   · refine' ENNReal.tsum_le_tsum fun n => le_of_eq _
     simp [hf.preimage_image]
@@ -825,10 +825,10 @@ theorem restrict_ofFunction (s : Set α) (hm : Monotone m) :
 theorem smul_ofFunction {c : ℝ≥0∞} (hc : c ≠ ∞) : c • OuterMeasure.ofFunction m m_empty =
     OuterMeasure.ofFunction (c • m) (by simp [m_empty]) := by
   ext1 s
-  haveI : Nonempty { t : ℕ → Set α // s ⊆ ⋃ i, t i } := ⟨⟨fun _ => s, subset_unionᵢ (fun _ => s) 0⟩⟩
+  haveI : Nonempty { t : ℕ → Set α // s ⊆ ⋃ i, t i } := ⟨⟨fun _ => s, subset_iUnion (fun _ => s) 0⟩⟩
   simp only [smul_apply, ofFunction_apply, ENNReal.tsum_mul_left, Pi.smul_apply, smul_eq_mul,
-  infᵢ_subtype']
-  rw [ENNReal.infᵢ_mul_left fun h => (hc h).elim]
+  iInf_subtype']
+  rw [ENNReal.iInf_mul_left fun h => (hc h).elim]
 #align measure_theory.outer_measure.smul_of_function MeasureTheory.OuterMeasure.smul_ofFunction
 
 end OfFunction
@@ -847,7 +847,7 @@ def boundedBy : OuterMeasure α :=
 variable {m}
 
 theorem boundedBy_le (s : Set α) : boundedBy m s ≤ m s :=
-  (ofFunction_le _).trans supᵢ_const_le
+  (ofFunction_le _).trans iSup_const_le
 #align measure_theory.outer_measure.bounded_by_le MeasureTheory.OuterMeasure.boundedBy_le
 
 theorem boundedBy_eq_ofFunction (m_empty : m ∅ = 0) (s : Set α) :
@@ -859,7 +859,7 @@ theorem boundedBy_eq_ofFunction (m_empty : m ∅ = 0) (s : Set α) :
 #align measure_theory.outer_measure.bounded_by_eq_of_function MeasureTheory.OuterMeasure.boundedBy_eq_ofFunction
 
 theorem boundedBy_apply (s : Set α) :
-    boundedBy m s = ⨅ (t : ℕ → Set α) (_h : s ⊆ unionᵢ t),
+    boundedBy m s = ⨅ (t : ℕ → Set α) (_h : s ⊆ iUnion t),
                       ∑' n, ⨆ _h : (t n).Nonempty, m (t n) := by
   simp [boundedBy, ofFunction_apply]
 #align measure_theory.outer_measure.bounded_by_apply MeasureTheory.OuterMeasure.boundedBy_apply
@@ -871,7 +871,7 @@ theorem boundedBy_eq (s : Set α) (m_empty : m ∅ = 0) (m_mono : ∀ ⦃t : Set
 
 @[simp]
 theorem boundedBy_eq_self (m : OuterMeasure α) : boundedBy m = m :=
-  ext fun _ => boundedBy_eq _ m.empty' (fun _ ht => m.mono' ht) m.unionᵢ_nat
+  ext fun _ => boundedBy_eq _ m.empty' (fun _ ht => m.mono' ht) m.iUnion_nat
 #align measure_theory.outer_measure.bounded_by_eq_self MeasureTheory.OuterMeasure.boundedBy_eq_self
 
 theorem le_boundedBy {μ : OuterMeasure α} : μ ≤ boundedBy m ↔ ∀ s, μ s ≤ m s := by
@@ -896,9 +896,9 @@ theorem comap_boundedBy {β} (f : β → α)
     (h : (Monotone fun s : { s : Set α // s.Nonempty } => m s) ∨ Surjective f) :
     comap f (boundedBy m) = boundedBy fun s => m (f '' s) := by
   refine' (comap_ofFunction _ _).trans _
-  · refine' h.imp (fun H s t hst => supᵢ_le fun hs => _) id
+  · refine' h.imp (fun H s t hst => iSup_le fun hs => _) id
     have ht : t.Nonempty := hs.mono hst
-    exact (@H ⟨s, hs⟩ ⟨t, ht⟩ hst).trans (le_supᵢ (fun _ : t.Nonempty => m t) ht)
+    exact (@H ⟨s, hs⟩ ⟨t, ht⟩ hst).trans (le_iSup (fun _ : t.Nonempty => m t) ht)
   · dsimp only [boundedBy]
     congr with s : 1
     rw [nonempty_image_iff]
@@ -914,7 +914,7 @@ theorem boundedBy_union_of_top_of_nonempty_inter {s t : Set α}
     (h : ∀ u, (s ∩ u).Nonempty → (t ∩ u).Nonempty → m u = ∞) :
     boundedBy m (s ∪ t) = boundedBy m s + boundedBy m t :=
   ofFunction_union_of_top_of_nonempty_inter fun u hs ht =>
-    top_unique <| (h u hs ht).ge.trans <| le_supᵢ (fun _ => m u) (hs.mono <| inter_subset_right s u)
+    top_unique <| (h u hs ht).ge.trans <| le_iSup (fun _ => m u) (hs.mono <| inter_subset_right s u)
 #align measure_theory.outer_measure.bounded_by_union_of_top_of_nonempty_inter MeasureTheory.OuterMeasure.boundedBy_union_of_top_of_nonempty_inter
 
 end BoundedBy
@@ -966,15 +966,15 @@ theorem measure_inter_union (h : s₁ ∩ s₂ ⊆ ∅) (h₁ : IsCaratheodory m
   rw [h₁, Set.inter_assoc, Set.union_inter_cancel_left, inter_diff_assoc, union_diff_cancel_left h]
 #align measure_theory.outer_measure.measure_inter_union MeasureTheory.OuterMeasure.measure_inter_union
 
-theorem isCaratheodory_unionᵢ_lt {s : ℕ → Set α} :
+theorem isCaratheodory_iUnion_lt {s : ℕ → Set α} :
     ∀ {n : ℕ}, (∀ i < n, IsCaratheodory m (s i)) → IsCaratheodory m (⋃ i < n, s i)
   | 0, _ => by simp [Nat.not_lt_zero]
   | n + 1, h => by
-    rw [bunionᵢ_lt_succ]
+    rw [biUnion_lt_succ]
     exact isCaratheodory_union m
-            (isCaratheodory_unionᵢ_lt fun i hi => h i <| lt_of_lt_of_le hi <| Nat.le_succ _)
+            (isCaratheodory_iUnion_lt fun i hi => h i <| lt_of_lt_of_le hi <| Nat.le_succ _)
             (h n (le_refl (n + 1)))
-#align measure_theory.outer_measure.is_caratheodory_Union_lt MeasureTheory.OuterMeasure.isCaratheodory_unionᵢ_lt
+#align measure_theory.outer_measure.is_caratheodory_Union_lt MeasureTheory.OuterMeasure.isCaratheodory_iUnion_lt
 
 theorem isCaratheodory_inter (h₁ : IsCaratheodory m s₁) (h₂ : IsCaratheodory m s₂) :
     IsCaratheodory m (s₁ ∩ s₂) := by
@@ -987,45 +987,45 @@ theorem isCaratheodory_sum {s : ℕ → Set α} (h : ∀ i, IsCaratheodory m (s
     ∀ {n}, (∑ i in Finset.range n, m (t ∩ s i)) = m (t ∩ ⋃ i < n, s i)
   | 0 => by simp [Nat.not_lt_zero, m.empty]
   | Nat.succ n => by
-    rw [bunionᵢ_lt_succ, Finset.sum_range_succ, Set.union_comm, isCaratheodory_sum h hd,
+    rw [biUnion_lt_succ, Finset.sum_range_succ, Set.union_comm, isCaratheodory_sum h hd,
       m.measure_inter_union _ (h n), add_comm]
     intro a
     simpa using fun (h₁ : a ∈ s n) i (hi : i < n) h₂ => (hd (ne_of_gt hi)).le_bot ⟨h₁, h₂⟩
 #align measure_theory.outer_measure.is_caratheodory_sum MeasureTheory.OuterMeasure.isCaratheodory_sum
 
-theorem isCaratheodory_unionᵢ_nat {s : ℕ → Set α} (h : ∀ i, IsCaratheodory m (s i))
+theorem isCaratheodory_iUnion_nat {s : ℕ → Set α} (h : ∀ i, IsCaratheodory m (s i))
     (hd : Pairwise (Disjoint on s)) : IsCaratheodory m (⋃ i, s i) := by
       apply (isCaratheodory_iff_le' m).mpr
       intro t
       have hp : m (t ∩ ⋃ i, s i) ≤ ⨆ n, m (t ∩ ⋃ i < n, s i) := by
-        convert m.unionᵢ fun i => t ∩ s i using 1
-        . simp [inter_unionᵢ]
-        . simp [ENNReal.tsum_eq_supᵢ_nat, isCaratheodory_sum m h hd]
+        convert m.iUnion fun i => t ∩ s i using 1
+        . simp [inter_iUnion]
+        . simp [ENNReal.tsum_eq_iSup_nat, isCaratheodory_sum m h hd]
       refine' le_trans (add_le_add_right hp _) _
-      rw [ENNReal.supᵢ_add]
+      rw [ENNReal.iSup_add]
       refine'
-        supᵢ_le fun n =>
-          le_trans (add_le_add_left _ _) (ge_of_eq (isCaratheodory_unionᵢ_lt m (fun i _ => h i) _))
+        iSup_le fun n =>
+          le_trans (add_le_add_left _ _) (ge_of_eq (isCaratheodory_iUnion_lt m (fun i _ => h i) _))
       refine' m.mono (diff_subset_diff_right _)
-      exact unionᵢ₂_subset fun i _ => subset_unionᵢ _ i
-#align measure_theory.outer_measure.is_caratheodory_Union_nat MeasureTheory.OuterMeasure.isCaratheodory_unionᵢ_nat
+      exact iUnion₂_subset fun i _ => subset_iUnion _ i
+#align measure_theory.outer_measure.is_caratheodory_Union_nat MeasureTheory.OuterMeasure.isCaratheodory_iUnion_nat
 
-theorem f_unionᵢ {s : ℕ → Set α} (h : ∀ i, IsCaratheodory m (s i)) (hd : Pairwise (Disjoint on s)) :
+theorem f_iUnion {s : ℕ → Set α} (h : ∀ i, IsCaratheodory m (s i)) (hd : Pairwise (Disjoint on s)) :
     m (⋃ i, s i) = ∑' i, m (s i) := by
-  refine' le_antisymm (m.unionᵢ_nat s) _
-  rw [ENNReal.tsum_eq_supᵢ_nat]
-  refine' supᵢ_le fun n => _
+  refine' le_antisymm (m.iUnion_nat s) _
+  rw [ENNReal.tsum_eq_iSup_nat]
+  refine' iSup_le fun n => _
   have := @isCaratheodory_sum _ m _ h hd univ n
   simp at this; simp [this]
-  exact m.mono (unionᵢ₂_subset fun i _ => subset_unionᵢ _ i)
-#align measure_theory.outer_measure.f_Union MeasureTheory.OuterMeasure.f_unionᵢ
+  exact m.mono (iUnion₂_subset fun i _ => subset_iUnion _ i)
+#align measure_theory.outer_measure.f_Union MeasureTheory.OuterMeasure.f_iUnion
 
 /-- The Carathéodory-measurable sets for an outer measure `m` form a Dynkin system.  -/
 def caratheodoryDynkin : MeasurableSpace.DynkinSystem α where
   Has := IsCaratheodory m
   has_empty := isCaratheodory_empty m
   has_compl s := isCaratheodory_compl m s
-  has_unionᵢ_nat f hf hn := by apply isCaratheodory_unionᵢ_nat m hf f
+  has_iUnion_nat f hf hn := by apply isCaratheodory_iUnion_nat m hf f
 #align measure_theory.outer_measure.caratheodory_dynkin MeasureTheory.OuterMeasure.caratheodoryDynkin
 
 /-- Given an outer measure `μ`, the Carathéodory-measurable space is
@@ -1046,11 +1046,11 @@ theorem isCaratheodory_iff_le {s : Set α} :
   isCaratheodory_iff_le' m
 #align measure_theory.outer_measure.is_caratheodory_iff_le MeasureTheory.OuterMeasure.isCaratheodory_iff_le
 
-protected theorem unionᵢ_eq_of_caratheodory {s : ℕ → Set α}
+protected theorem iUnion_eq_of_caratheodory {s : ℕ → Set α}
     (h : ∀ i, MeasurableSet[OuterMeasure.caratheodory m] (s i)) (hd : Pairwise (Disjoint on s)) :
     m (⋃ i, s i) = ∑' i, m (s i) :=
-  f_unionᵢ m h hd
-#align measure_theory.outer_measure.Union_eq_of_caratheodory MeasureTheory.OuterMeasure.unionᵢ_eq_of_caratheodory
+  f_iUnion m h hd
+#align measure_theory.outer_measure.Union_eq_of_caratheodory MeasureTheory.OuterMeasure.iUnion_eq_of_caratheodory
 
 end CaratheodoryMeasurable
 
@@ -1060,15 +1060,15 @@ theorem ofFunction_caratheodory {m : Set α → ℝ≥0∞} {s : Set α} {h₀ :
     (hs : ∀ t, m (t ∩ s) + m (t \ s) ≤ m t) :
     MeasurableSet[(OuterMeasure.ofFunction m h₀).caratheodory] s := by
   apply (isCaratheodory_iff_le _).mpr
-  refine' fun t => le_infᵢ fun f => le_infᵢ fun hf => _
+  refine' fun t => le_iInf fun f => le_iInf fun hf => _
   refine'
     le_trans
-      (add_le_add ((infᵢ_le_of_le fun i => f i ∩ s) <| infᵢ_le _ _)
-        ((infᵢ_le_of_le fun i => f i \ s) <| infᵢ_le _ _))
+      (add_le_add ((iInf_le_of_le fun i => f i ∩ s) <| iInf_le _ _)
+        ((iInf_le_of_le fun i => f i \ s) <| iInf_le _ _))
       _
-  · rw [← unionᵢ_inter]
+  · rw [← iUnion_inter]
     exact inter_subset_inter_left _ hf
-  · rw [← unionᵢ_diff]
+  · rw [← iUnion_diff]
     exact diff_subset_diff_left hf
   · rw [← ENNReal.tsum_add]
     exact ENNReal.tsum_le_tsum fun i => hs _
@@ -1081,7 +1081,7 @@ theorem boundedBy_caratheodory {m : Set α → ℝ≥0∞} {s : Set α}
   · simp [h, Set.not_nonempty_empty]
   · convert le_trans _ (hs t)
     · simp [h]
-    exact add_le_add supᵢ_const_le supᵢ_const_le
+    exact add_le_add iSup_const_le iSup_const_le
 #align measure_theory.outer_measure.bounded_by_caratheodory MeasureTheory.OuterMeasure.boundedBy_caratheodory
 
 @[simp]
@@ -1103,7 +1103,7 @@ theorem le_add_caratheodory (m₁ m₂ : OuterMeasure α) :
 
 theorem le_sum_caratheodory {ι} (m : ι → OuterMeasure α) :
     (⨅ i, (m i).caratheodory) ≤ (sum m).caratheodory := fun s h t => by
-  simp [fun i => MeasurableSpace.measurableSet_infᵢ.1 h i t, ENNReal.tsum_add]
+  simp [fun i => MeasurableSpace.measurableSet_iInf.1 h i t, ENNReal.tsum_add]
 #align measure_theory.outer_measure.le_sum_caratheodory MeasureTheory.OuterMeasure.le_sum_caratheodory
 
 theorem le_smul_caratheodory (a : ℝ≥0∞) (m : OuterMeasure α) :
@@ -1120,166 +1120,166 @@ theorem dirac_caratheodory (a : α) : (dirac a).caratheodory = ⊤ :=
     by_cases hs : a ∈ s <;> simp [*]
 #align measure_theory.outer_measure.dirac_caratheodory MeasureTheory.OuterMeasure.dirac_caratheodory
 
-section InfₛGen
+section sInfGen
 
 /-- Given a set of outer measures, we define a new function that on a set `s` is defined to be the
   infimum of `μ(s)` for the outer measures `μ` in the collection. We ensure that this
   function is defined to be `0` on `∅`, even if the collection of outer measures is empty.
   The outer measure generated by this function is the infimum of the given outer measures. -/
-def infₛGen (m : Set (OuterMeasure α)) (s : Set α) : ℝ≥0∞ :=
+def sInfGen (m : Set (OuterMeasure α)) (s : Set α) : ℝ≥0∞ :=
   ⨅ (μ : OuterMeasure α) (_h : μ ∈ m), μ s
-#align measure_theory.outer_measure.Inf_gen MeasureTheory.OuterMeasure.infₛGen
+#align measure_theory.outer_measure.Inf_gen MeasureTheory.OuterMeasure.sInfGen
 
-theorem infₛGen_def (m : Set (OuterMeasure α)) (t : Set α) :
-    infₛGen m t = ⨅ (μ : OuterMeasure α) (_h : μ ∈ m), μ t :=
+theorem sInfGen_def (m : Set (OuterMeasure α)) (t : Set α) :
+    sInfGen m t = ⨅ (μ : OuterMeasure α) (_h : μ ∈ m), μ t :=
   rfl
-#align measure_theory.outer_measure.Inf_gen_def MeasureTheory.OuterMeasure.infₛGen_def
+#align measure_theory.outer_measure.Inf_gen_def MeasureTheory.OuterMeasure.sInfGen_def
 
-theorem infₛ_eq_boundedBy_infₛGen (m : Set (OuterMeasure α)) :
-    infₛ m = OuterMeasure.boundedBy (infₛGen m) := by
+theorem sInf_eq_boundedBy_sInfGen (m : Set (OuterMeasure α)) :
+    sInf m = OuterMeasure.boundedBy (sInfGen m) := by
   refine' le_antisymm _ _
-  · refine' le_boundedBy.2 fun s => le_infᵢ₂ fun μ hμ => _
-    apply infₛ_le hμ
-  · refine' le_infₛ _
+  · refine' le_boundedBy.2 fun s => le_iInf₂ fun μ hμ => _
+    apply sInf_le hμ
+  · refine' le_sInf _
     intro μ hμ t
-    refine' le_trans (boundedBy_le t) (infᵢ₂_le μ hμ)
-#align measure_theory.outer_measure.Inf_eq_bounded_by_Inf_gen MeasureTheory.OuterMeasure.infₛ_eq_boundedBy_infₛGen
+    refine' le_trans (boundedBy_le t) (iInf₂_le μ hμ)
+#align measure_theory.outer_measure.Inf_eq_bounded_by_Inf_gen MeasureTheory.OuterMeasure.sInf_eq_boundedBy_sInfGen
 
-theorem supᵢ_infₛGen_nonempty {m : Set (OuterMeasure α)} (h : m.Nonempty) (t : Set α) :
-    (⨆ _h : t.Nonempty, infₛGen m t) = ⨅ (μ : OuterMeasure α) (_h : μ ∈ m), μ t := by
+theorem iSup_sInfGen_nonempty {m : Set (OuterMeasure α)} (h : m.Nonempty) (t : Set α) :
+    (⨆ _h : t.Nonempty, sInfGen m t) = ⨅ (μ : OuterMeasure α) (_h : μ ∈ m), μ t := by
   rcases t.eq_empty_or_nonempty with (rfl | ht)
   · rcases h with ⟨μ, hμ⟩
-    rw [eq_false Set.not_nonempty_empty, supᵢ_false, eq_comm]
+    rw [eq_false Set.not_nonempty_empty, iSup_false, eq_comm]
     simp_rw [empty']
     apply bot_unique
-    refine' infᵢ_le_of_le μ (infᵢ_le _ hμ)
-  · simp [ht, infₛGen_def]
-#align measure_theory.outer_measure.supr_Inf_gen_nonempty MeasureTheory.OuterMeasure.supᵢ_infₛGen_nonempty
+    refine' iInf_le_of_le μ (iInf_le _ hμ)
+  · simp [ht, sInfGen_def]
+#align measure_theory.outer_measure.supr_Inf_gen_nonempty MeasureTheory.OuterMeasure.iSup_sInfGen_nonempty
 
 /-- The value of the Infimum of a nonempty set of outer measures on a set is not simply
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
-theorem infₛ_apply {m : Set (OuterMeasure α)} {s : Set α} (h : m.Nonempty) :
-    infₛ m s =
-      ⨅ (t : ℕ → Set α) (_h2 : s ⊆ unionᵢ t), ∑' n, ⨅ (μ : OuterMeasure α) (_h3 : μ ∈ m), μ (t n) :=
-  by simp_rw [infₛ_eq_boundedBy_infₛGen, boundedBy_apply, supᵢ_infₛGen_nonempty h]
-#align measure_theory.outer_measure.Inf_apply MeasureTheory.OuterMeasure.infₛ_apply
+theorem sInf_apply {m : Set (OuterMeasure α)} {s : Set α} (h : m.Nonempty) :
+    sInf m s =
+      ⨅ (t : ℕ → Set α) (_h2 : s ⊆ iUnion t), ∑' n, ⨅ (μ : OuterMeasure α) (_h3 : μ ∈ m), μ (t n) :=
+  by simp_rw [sInf_eq_boundedBy_sInfGen, boundedBy_apply, iSup_sInfGen_nonempty h]
+#align measure_theory.outer_measure.Inf_apply MeasureTheory.OuterMeasure.sInf_apply
 
 /-- The value of the Infimum of a set of outer measures on a nonempty set is not simply
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
-theorem infₛ_apply' {m : Set (OuterMeasure α)} {s : Set α} (h : s.Nonempty) :
-    infₛ m s =
-      ⨅ (t : ℕ → Set α) (_h2 : s ⊆ unionᵢ t), ∑' n, ⨅ (μ : OuterMeasure α) (_h3 : μ ∈ m), μ (t n) :=
-  m.eq_empty_or_nonempty.elim (fun hm => by simp [hm, h]) infₛ_apply
-#align measure_theory.outer_measure.Inf_apply' MeasureTheory.OuterMeasure.infₛ_apply'
+theorem sInf_apply' {m : Set (OuterMeasure α)} {s : Set α} (h : s.Nonempty) :
+    sInf m s =
+      ⨅ (t : ℕ → Set α) (_h2 : s ⊆ iUnion t), ∑' n, ⨅ (μ : OuterMeasure α) (_h3 : μ ∈ m), μ (t n) :=
+  m.eq_empty_or_nonempty.elim (fun hm => by simp [hm, h]) sInf_apply
+#align measure_theory.outer_measure.Inf_apply' MeasureTheory.OuterMeasure.sInf_apply'
 
 /-- The value of the Infimum of a nonempty family of outer measures on a set is not simply
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
-theorem infᵢ_apply {ι} [Nonempty ι] (m : ι → OuterMeasure α) (s : Set α) :
-    (⨅ i, m i) s = ⨅ (t : ℕ → Set α) (_h2 : s ⊆ unionᵢ t), ∑' n, ⨅ i, m i (t n) := by
-  rw [infᵢ, infₛ_apply (range_nonempty m)]
-  simp only [infᵢ_range]
-#align measure_theory.outer_measure.infi_apply MeasureTheory.OuterMeasure.infᵢ_apply
+theorem iInf_apply {ι} [Nonempty ι] (m : ι → OuterMeasure α) (s : Set α) :
+    (⨅ i, m i) s = ⨅ (t : ℕ → Set α) (_h2 : s ⊆ iUnion t), ∑' n, ⨅ i, m i (t n) := by
+  rw [iInf, sInf_apply (range_nonempty m)]
+  simp only [iInf_range]
+#align measure_theory.outer_measure.infi_apply MeasureTheory.OuterMeasure.iInf_apply
 
 /-- The value of the Infimum of a family of outer measures on a nonempty set is not simply
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
-theorem infᵢ_apply' {ι} (m : ι → OuterMeasure α) {s : Set α} (hs : s.Nonempty) :
-    (⨅ i, m i) s = ⨅ (t : ℕ → Set α) (_h2 : s ⊆ unionᵢ t), ∑' n, ⨅ i, m i (t n) := by
-  rw [infᵢ, infₛ_apply' hs]
-  simp only [infᵢ_range]
-#align measure_theory.outer_measure.infi_apply' MeasureTheory.OuterMeasure.infᵢ_apply'
+theorem iInf_apply' {ι} (m : ι → OuterMeasure α) {s : Set α} (hs : s.Nonempty) :
+    (⨅ i, m i) s = ⨅ (t : ℕ → Set α) (_h2 : s ⊆ iUnion t), ∑' n, ⨅ i, m i (t n) := by
+  rw [iInf, sInf_apply' hs]
+  simp only [iInf_range]
+#align measure_theory.outer_measure.infi_apply' MeasureTheory.OuterMeasure.iInf_apply'
 
 /-- The value of the Infimum of a nonempty family of outer measures on a set is not simply
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
-theorem binfᵢ_apply {ι} {I : Set ι} (hI : I.Nonempty) (m : ι → OuterMeasure α) (s : Set α) :
-    (⨅ i ∈ I, m i) s = ⨅ (t : ℕ → Set α) (_h2 : s ⊆ unionᵢ t), ∑' n, ⨅ i ∈ I, m i (t n) := by
+theorem biInf_apply {ι} {I : Set ι} (hI : I.Nonempty) (m : ι → OuterMeasure α) (s : Set α) :
+    (⨅ i ∈ I, m i) s = ⨅ (t : ℕ → Set α) (_h2 : s ⊆ iUnion t), ∑' n, ⨅ i ∈ I, m i (t n) := by
   haveI := hI.to_subtype
-  simp only [← infᵢ_subtype'', infᵢ_apply]
-#align measure_theory.outer_measure.binfi_apply MeasureTheory.OuterMeasure.binfᵢ_apply
+  simp only [← iInf_subtype'', iInf_apply]
+#align measure_theory.outer_measure.binfi_apply MeasureTheory.OuterMeasure.biInf_apply
 
 /-- The value of the Infimum of a nonempty family of outer measures on a set is not simply
 the minimum value of a measure on that set: it is the infimum sum of measures of countable set of
 sets that covers that set, where a different measure can be used for each set in the cover. -/
-theorem binfᵢ_apply' {ι} (I : Set ι) (m : ι → OuterMeasure α) {s : Set α} (hs : s.Nonempty) :
-    (⨅ i ∈ I, m i) s = ⨅ (t : ℕ → Set α) (_h2 : s ⊆ unionᵢ t), ∑' n, ⨅ i ∈ I, m i (t n) := by
-  simp only [← infᵢ_subtype'', infᵢ_apply' _ hs]
-#align measure_theory.outer_measure.binfi_apply' MeasureTheory.OuterMeasure.binfᵢ_apply'
+theorem biInf_apply' {ι} (I : Set ι) (m : ι → OuterMeasure α) {s : Set α} (hs : s.Nonempty) :
+    (⨅ i ∈ I, m i) s = ⨅ (t : ℕ → Set α) (_h2 : s ⊆ iUnion t), ∑' n, ⨅ i ∈ I, m i (t n) := by
+  simp only [← iInf_subtype'', iInf_apply' _ hs]
+#align measure_theory.outer_measure.binfi_apply' MeasureTheory.OuterMeasure.biInf_apply'
 
-theorem map_infᵢ_le {ι β} (f : α → β) (m : ι → OuterMeasure α) :
+theorem map_iInf_le {ι β} (f : α → β) (m : ι → OuterMeasure α) :
     map f (⨅ i, m i) ≤ ⨅ i, map f (m i) :=
-  (map_mono f).map_infᵢ_le
-#align measure_theory.outer_measure.map_infi_le MeasureTheory.OuterMeasure.map_infᵢ_le
+  (map_mono f).map_iInf_le
+#align measure_theory.outer_measure.map_infi_le MeasureTheory.OuterMeasure.map_iInf_le
 
-theorem comap_infᵢ {ι β} (f : α → β) (m : ι → OuterMeasure β) :
+theorem comap_iInf {ι β} (f : α → β) (m : ι → OuterMeasure β) :
     comap f (⨅ i, m i) = ⨅ i, comap f (m i) := by
   refine' ext_nonempty fun s hs => _
-  refine' ((comap_mono f).map_infᵢ_le s).antisymm _
-  simp only [comap_apply, infᵢ_apply' _ hs, infᵢ_apply' _ (hs.image _), le_infᵢ_iff,
-    Set.image_subset_iff, preimage_unionᵢ]
-  refine' fun t ht => infᵢ_le_of_le _ (infᵢ_le_of_le ht <| ENNReal.tsum_le_tsum fun k => _)
-  exact infᵢ_mono fun i => (m i).mono (image_preimage_subset _ _)
-#align measure_theory.outer_measure.comap_infi MeasureTheory.OuterMeasure.comap_infᵢ
-
-theorem map_infᵢ {ι β} {f : α → β} (hf : Injective f) (m : ι → OuterMeasure α) :
+  refine' ((comap_mono f).map_iInf_le s).antisymm _
+  simp only [comap_apply, iInf_apply' _ hs, iInf_apply' _ (hs.image _), le_iInf_iff,
+    Set.image_subset_iff, preimage_iUnion]
+  refine' fun t ht => iInf_le_of_le _ (iInf_le_of_le ht <| ENNReal.tsum_le_tsum fun k => _)
+  exact iInf_mono fun i => (m i).mono (image_preimage_subset _ _)
+#align measure_theory.outer_measure.comap_infi MeasureTheory.OuterMeasure.comap_iInf
+
+theorem map_iInf {ι β} {f : α → β} (hf : Injective f) (m : ι → OuterMeasure α) :
     map f (⨅ i, m i) = restrict (range f) (⨅ i, map f (m i)) := by
   refine' Eq.trans _ (map_comap _ _)
-  simp only [comap_infᵢ, comap_map hf]
-#align measure_theory.outer_measure.map_infi MeasureTheory.OuterMeasure.map_infᵢ
+  simp only [comap_iInf, comap_map hf]
+#align measure_theory.outer_measure.map_infi MeasureTheory.OuterMeasure.map_iInf
 
-theorem map_infᵢ_comap {ι β} [Nonempty ι] {f : α → β} (m : ι → OuterMeasure β) :
+theorem map_iInf_comap {ι β} [Nonempty ι] {f : α → β} (m : ι → OuterMeasure β) :
     map f (⨅ i, comap f (m i)) = ⨅ i, map f (comap f (m i)) := by
-  refine' (map_infᵢ_le _ _).antisymm fun s => _
-  simp only [map_apply, comap_apply, infᵢ_apply, le_infᵢ_iff]
-  refine' fun t ht => infᵢ_le_of_le (fun n => f '' t n ∪ range fᶜ) (infᵢ_le_of_le _ _)
-  · rw [← unionᵢ_union, Set.union_comm, ← inter_subset, ← image_unionᵢ, ←
+  refine' (map_iInf_le _ _).antisymm fun s => _
+  simp only [map_apply, comap_apply, iInf_apply, le_iInf_iff]
+  refine' fun t ht => iInf_le_of_le (fun n => f '' t n ∪ range fᶜ) (iInf_le_of_le _ _)
+  · rw [← iUnion_union, Set.union_comm, ← inter_subset, ← image_iUnion, ←
       image_preimage_eq_inter_range]
     exact image_subset _ ht
-  · refine' ENNReal.tsum_le_tsum fun n => infᵢ_mono fun i => (m i).mono _
+  · refine' ENNReal.tsum_le_tsum fun n => iInf_mono fun i => (m i).mono _
     simp
     exact subset_refl _
-#align measure_theory.outer_measure.map_infi_comap MeasureTheory.OuterMeasure.map_infᵢ_comap
+#align measure_theory.outer_measure.map_infi_comap MeasureTheory.OuterMeasure.map_iInf_comap
 
-theorem map_binfᵢ_comap {ι β} {I : Set ι} (hI : I.Nonempty) {f : α → β} (m : ι → OuterMeasure β) :
+theorem map_biInf_comap {ι β} {I : Set ι} (hI : I.Nonempty) {f : α → β} (m : ι → OuterMeasure β) :
     map f (⨅ i ∈ I, comap f (m i)) = ⨅ i ∈ I, map f (comap f (m i)) := by
   haveI := hI.to_subtype
-  rw [← infᵢ_subtype'', ← infᵢ_subtype'']
-  exact map_infᵢ_comap _
-#align measure_theory.outer_measure.map_binfi_comap MeasureTheory.OuterMeasure.map_binfᵢ_comap
+  rw [← iInf_subtype'', ← iInf_subtype'']
+  exact map_iInf_comap _
+#align measure_theory.outer_measure.map_binfi_comap MeasureTheory.OuterMeasure.map_biInf_comap
 
-theorem restrict_infᵢ_restrict {ι} (s : Set α) (m : ι → OuterMeasure α) :
+theorem restrict_iInf_restrict {ι} (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨅ i, restrict s (m i)) = restrict s (⨅ i, m i) :=
   calc
     restrict s (⨅ i, restrict s (m i)) = restrict (range ((↑) : s → α)) (⨅ i, restrict s (m i)) :=
       by rw [Subtype.range_coe]
-    _ = map ((↑) : s → α) (⨅ i, comap (↑) (m i)) := (map_infᵢ Subtype.coe_injective _).symm
-    _ = restrict s (⨅ i, m i) := congr_arg (map ((↑) : s → α)) (comap_infᵢ _ _).symm
+    _ = map ((↑) : s → α) (⨅ i, comap (↑) (m i)) := (map_iInf Subtype.coe_injective _).symm
+    _ = restrict s (⨅ i, m i) := congr_arg (map ((↑) : s → α)) (comap_iInf _ _).symm
 
-#align measure_theory.outer_measure.restrict_infi_restrict MeasureTheory.OuterMeasure.restrict_infᵢ_restrict
+#align measure_theory.outer_measure.restrict_infi_restrict MeasureTheory.OuterMeasure.restrict_iInf_restrict
 
-theorem restrict_infᵢ {ι} [Nonempty ι] (s : Set α) (m : ι → OuterMeasure α) :
+theorem restrict_iInf {ι} [Nonempty ι] (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨅ i, m i) = ⨅ i, restrict s (m i) :=
-  (congr_arg (map ((↑) : s → α)) (comap_infᵢ _ _)).trans (map_infᵢ_comap _)
-#align measure_theory.outer_measure.restrict_infi MeasureTheory.OuterMeasure.restrict_infᵢ
+  (congr_arg (map ((↑) : s → α)) (comap_iInf _ _)).trans (map_iInf_comap _)
+#align measure_theory.outer_measure.restrict_infi MeasureTheory.OuterMeasure.restrict_iInf
 
-theorem restrict_binfᵢ {ι} {I : Set ι} (hI : I.Nonempty) (s : Set α) (m : ι → OuterMeasure α) :
+theorem restrict_biInf {ι} {I : Set ι} (hI : I.Nonempty) (s : Set α) (m : ι → OuterMeasure α) :
     restrict s (⨅ i ∈ I, m i) = ⨅ i ∈ I, restrict s (m i) := by
   haveI := hI.to_subtype
-  rw [← infᵢ_subtype'', ← infᵢ_subtype'']
-  exact restrict_infᵢ _ _
-#align measure_theory.outer_measure.restrict_binfi MeasureTheory.OuterMeasure.restrict_binfᵢ
+  rw [← iInf_subtype'', ← iInf_subtype'']
+  exact restrict_iInf _ _
+#align measure_theory.outer_measure.restrict_binfi MeasureTheory.OuterMeasure.restrict_biInf
 
 /-- This proves that Inf and restrict commute for outer measures, so long as the set of
 outer measures is nonempty. -/
-theorem restrict_infₛ_eq_infₛ_restrict (m : Set (OuterMeasure α)) {s : Set α} (hm : m.Nonempty) :
-    restrict s (infₛ m) = infₛ (restrict s '' m) := by
-  simp only [infₛ_eq_infᵢ, restrict_binfᵢ, hm, infᵢ_image]
-#align measure_theory.outer_measure.restrict_Inf_eq_Inf_restrict MeasureTheory.OuterMeasure.restrict_infₛ_eq_infₛ_restrict
+theorem restrict_sInf_eq_sInf_restrict (m : Set (OuterMeasure α)) {s : Set α} (hm : m.Nonempty) :
+    restrict s (sInf m) = sInf (restrict s '' m) := by
+  simp only [sInf_eq_iInf, restrict_biInf, hm, iInf_image]
+#align measure_theory.outer_measure.restrict_Inf_eq_Inf_restrict MeasureTheory.OuterMeasure.restrict_sInf_eq_sInf_restrict
 
-end InfₛGen
+end sInfGen
 
 end OuterMeasure
 
@@ -1316,7 +1316,7 @@ theorem extend_eq_top {s : α} (h : ¬P s) : extend m s = ∞ := by simp [extend
 #align measure_theory.extend_eq_top MeasureTheory.extend_eq_top
 
 theorem le_extend {s : α} (h : P s) : m s h ≤ extend m s := by
-  simp only [extend, le_infᵢ_iff]
+  simp only [extend, le_iInf_iff]
   intro
   rfl
 #align measure_theory.le_extend MeasureTheory.le_extend
@@ -1325,7 +1325,7 @@ theorem le_extend {s : α} (h : P s) : m s h ≤ extend m s := by
 theorem extend_congr {β : Type _} {Pb : β → Prop} {mb : ∀ s : β, Pb s → ℝ≥0∞} {sa : α} {sb : β}
     (hP : P sa ↔ Pb sb) (hm : ∀ (ha : P sa) (hb : Pb sb), m sa ha = mb sb hb) :
     extend m sa = extend mb sb :=
-  infᵢ_congr_Prop hP fun _h => hm _ _
+  iInf_congr_Prop hP fun _h => hm _ _
 #align measure_theory.extend_congr MeasureTheory.extend_congr
 
 end Extend
@@ -1353,18 +1353,18 @@ theorem extend_empty : extend m ∅ = 0 :=
   (extend_eq _ P0).trans m0
 #align measure_theory.extend_empty MeasureTheory.extend_empty
 
-theorem extend_unionᵢ_nat {f : ℕ → Set α} (hm : ∀ i, P (f i))
+theorem extend_iUnion_nat {f : ℕ → Set α} (hm : ∀ i, P (f i))
     (mU : m (⋃ i, f i) (PU hm) = ∑' i, m (f i) (hm i)) :
     extend m (⋃ i, f i) = ∑' i, extend m (f i) :=
   (extend_eq _ _).trans <|
     mU.trans <| by
       congr with i
       rw [extend_eq]
-#align measure_theory.extend_Union_nat MeasureTheory.extend_unionᵢ_nat
+#align measure_theory.extend_Union_nat MeasureTheory.extend_iUnion_nat
 
 section Subadditive
 
-theorem extend_unionᵢ_le_tsum_nat' (s : ℕ → Set α) :
+theorem extend_iUnion_le_tsum_nat' (s : ℕ → Set α) :
     extend m (⋃ i, s i) ≤ ∑' i, extend m (s i) := by
   by_cases h : ∀ i, P (s i)
   · rw [extend_eq _ (PU h), congr_arg tsum _]
@@ -1372,15 +1372,15 @@ theorem extend_unionᵢ_le_tsum_nat' (s : ℕ → Set α) :
     funext i
     apply extend_eq _ (h i)
   · cases' not_forall.1 h with i hi
-    exact le_trans (le_infᵢ fun h => hi.elim h) (ENNReal.le_tsum i)
-#align measure_theory.extend_Union_le_tsum_nat' MeasureTheory.extend_unionᵢ_le_tsum_nat'
+    exact le_trans (le_iInf fun h => hi.elim h) (ENNReal.le_tsum i)
+#align measure_theory.extend_Union_le_tsum_nat' MeasureTheory.extend_iUnion_le_tsum_nat'
 
 end Subadditive
 
 section Mono
 
 theorem extend_mono' ⦃s₁ s₂ : Set α⦄ (h₁ : P s₁) (hs : s₁ ⊆ s₂) : extend m s₁ ≤ extend m s₂ := by
-  refine' le_infᵢ _
+  refine' le_iInf _
   intro h₂
   rw [extend_eq m h₁]
   exact m_mono h₁ h₂ hs
@@ -1390,21 +1390,21 @@ end Mono
 
 section Unions
 
-theorem extend_unionᵢ {β} [Countable β] {f : β → Set α} (hd : Pairwise (Disjoint on f))
+theorem extend_iUnion {β} [Countable β] {f : β → Set α} (hd : Pairwise (Disjoint on f))
     (hm : ∀ i, P (f i)) : extend m (⋃ i, f i) = ∑' i, extend m (f i) := by
   cases nonempty_encodable β
-  rw [← Encodable.unionᵢ_decode₂, ← tsum_unionᵢ_decode₂]
+  rw [← Encodable.iUnion_decode₂, ← tsum_iUnion_decode₂]
   ·
     exact
-      extend_unionᵢ_nat PU (fun n => Encodable.unionᵢ_decode₂_cases P0 hm)
-        (mU _ (Encodable.unionᵢ_decode₂_disjoint_on hd))
+      extend_iUnion_nat PU (fun n => Encodable.iUnion_decode₂_cases P0 hm)
+        (mU _ (Encodable.iUnion_decode₂_disjoint_on hd))
   · exact extend_empty P0 m0
-#align measure_theory.extend_Union MeasureTheory.extend_unionᵢ
+#align measure_theory.extend_Union MeasureTheory.extend_iUnion
 
 theorem extend_union {s₁ s₂ : Set α} (hd : Disjoint s₁ s₂) (h₁ : P s₁) (h₂ : P s₂) :
     extend m (s₁ ∪ s₂) = extend m s₁ + extend m s₂ := by
-  rw [union_eq_unionᵢ,
-    extend_unionᵢ P0 m0 PU mU (pairwise_disjoint_on_bool.2 hd) (Bool.forall_bool.2 ⟨h₂, h₁⟩),
+  rw [union_eq_iUnion,
+    extend_iUnion P0 m0 PU mU (pairwise_disjoint_on_bool.2 hd) (Bool.forall_bool.2 ⟨h₂, h₁⟩),
     tsum_fintype]
   simp
 #align measure_theory.extend_union MeasureTheory.extend_union
@@ -1423,7 +1423,7 @@ variable {m P0 m0}
 
 theorem le_inducedOuterMeasure {μ : OuterMeasure α} :
     μ ≤ inducedOuterMeasure m P0 m0 ↔ ∀ (s) (hs : P s), μ s ≤ m s hs :=
-  le_ofFunction.trans <| forall_congr' fun _s => le_infᵢ_iff
+  le_ofFunction.trans <| forall_congr' fun _s => le_iInf_iff
 #align measure_theory.le_induced_outer_measure MeasureTheory.le_inducedOuterMeasure
 
 /-- If `P u` is `False` for any set `u` that has nonempty intersection both with `s` and `t`, then
@@ -1435,42 +1435,42 @@ theorem inducedOuterMeasure_union_of_false_of_nonempty_inter {s t : Set α}
     (h : ∀ u, (s ∩ u).Nonempty → (t ∩ u).Nonempty → ¬P u) :
     inducedOuterMeasure m P0 m0 (s ∪ t) =
       inducedOuterMeasure m P0 m0 s + inducedOuterMeasure m P0 m0 t :=
-  ofFunction_union_of_top_of_nonempty_inter fun u hsu htu => @infᵢ_of_empty _ _ _ ⟨h u hsu htu⟩ _
+  ofFunction_union_of_top_of_nonempty_inter fun u hsu htu => @iInf_of_empty _ _ _ ⟨h u hsu htu⟩ _
 #align measure_theory.induced_outer_measure_union_of_false_of_nonempty_inter MeasureTheory.inducedOuterMeasure_union_of_false_of_nonempty_inter
 
 theorem inducedOuterMeasure_eq_extend' {s : Set α} (hs : P s) :
     inducedOuterMeasure m P0 m0 s = extend m s :=
-  ofFunction_eq s (fun _t => extend_mono' m_mono hs) (extend_unionᵢ_le_tsum_nat' PU msU)
+  ofFunction_eq s (fun _t => extend_mono' m_mono hs) (extend_iUnion_le_tsum_nat' PU msU)
 #align measure_theory.induced_outer_measure_eq_extend' MeasureTheory.inducedOuterMeasure_eq_extend'
 
 theorem inducedOuterMeasure_eq' {s : Set α} (hs : P s) : inducedOuterMeasure m P0 m0 s = m s hs :=
   (inducedOuterMeasure_eq_extend' PU msU m_mono hs).trans <| extend_eq _ _
 #align measure_theory.induced_outer_measure_eq' MeasureTheory.inducedOuterMeasure_eq'
 
-theorem inducedOuterMeasure_eq_infᵢ (s : Set α) :
+theorem inducedOuterMeasure_eq_iInf (s : Set α) :
     inducedOuterMeasure m P0 m0 s = ⨅ (t : Set α) (ht : P t) (_h : s ⊆ t), m t ht := by
   apply le_antisymm
-  · simp only [le_infᵢ_iff]
+  · simp only [le_iInf_iff]
     intro t ht hs
     refine' le_trans (mono' _ hs) _
     exact le_of_eq (inducedOuterMeasure_eq' _ msU m_mono _)
-  · refine' le_infᵢ _
+  · refine' le_iInf _
     intro f
-    refine' le_infᵢ _
+    refine' le_iInf _
     intro hf
-    refine' le_trans _ (extend_unionᵢ_le_tsum_nat' _ msU _)
-    refine' le_infᵢ _
+    refine' le_trans _ (extend_iUnion_le_tsum_nat' _ msU _)
+    refine' le_iInf _
     intro h2f
-    refine' infᵢ_le_of_le _ (infᵢ_le_of_le h2f <| infᵢ_le _ hf)
-#align measure_theory.induced_outer_measure_eq_infi MeasureTheory.inducedOuterMeasure_eq_infᵢ
+    refine' iInf_le_of_le _ (iInf_le_of_le h2f <| iInf_le _ hf)
+#align measure_theory.induced_outer_measure_eq_infi MeasureTheory.inducedOuterMeasure_eq_iInf
 
 theorem inducedOuterMeasure_preimage (f : α ≃ α) (Pm : ∀ s : Set α, P (f ⁻¹' s) ↔ P s)
     (mm : ∀ (s : Set α) (hs : P s), m (f ⁻¹' s) ((Pm _).mpr hs) = m s hs) {A : Set α} :
     inducedOuterMeasure m P0 m0 (f ⁻¹' A) = inducedOuterMeasure m P0 m0 A := by
-    rw [inducedOuterMeasure_eq_infᵢ _ msU m_mono, inducedOuterMeasure_eq_infᵢ _ msU m_mono]; symm
-    refine' f.injective.preimage_surjective.infᵢ_congr (preimage f) fun s => _
-    refine' infᵢ_congr_Prop (Pm s) _; intro hs
-    refine' infᵢ_congr_Prop f.surjective.preimage_subset_preimage_iff _
+    rw [inducedOuterMeasure_eq_iInf _ msU m_mono, inducedOuterMeasure_eq_iInf _ msU m_mono]; symm
+    refine' f.injective.preimage_surjective.iInf_congr (preimage f) fun s => _
+    refine' iInf_congr_Prop (Pm s) _; intro hs
+    refine' iInf_congr_Prop f.surjective.preimage_subset_preimage_iff _
     intro _; exact mm s hs
 #align measure_theory.induced_outer_measure_preimage MeasureTheory.inducedOuterMeasure_preimage
 
@@ -1481,8 +1481,8 @@ theorem inducedOuterMeasure_exists_set {s : Set α} (hs : inducedOuterMeasure m
   have h := ENNReal.lt_add_right hs hε
   conv at h =>
     lhs
-    rw [inducedOuterMeasure_eq_infᵢ _ msU m_mono]
-  simp only [infᵢ_lt_iff] at h
+    rw [inducedOuterMeasure_eq_iInf _ msU m_mono]
+  simp only [iInf_lt_iff] at h
   rcases h with ⟨t, h1t, h2t, h3t⟩
   exact
     ⟨t, h1t, h2t, le_trans (le_of_eq <| inducedOuterMeasure_eq' _ msU m_mono h1t) (le_of_lt h3t)⟩
@@ -1503,12 +1503,12 @@ theorem inducedOuterMeasure_caratheodory (s : Set α) :
   · intro h t _ht
     exact h t
   · intro h u
-    conv_rhs => rw [inducedOuterMeasure_eq_infᵢ _ msU m_mono]
-    refine' le_infᵢ _
+    conv_rhs => rw [inducedOuterMeasure_eq_iInf _ msU m_mono]
+    refine' le_iInf _
     intro t
-    refine' le_infᵢ _
+    refine' le_iInf _
     intro ht
-    refine' le_infᵢ _
+    refine' le_iInf _
     intro h2t
     refine' le_trans _ (le_trans (h t ht) <| le_of_eq <| inducedOuterMeasure_eq' _ msU m_mono ht)
     refine'
@@ -1533,32 +1533,32 @@ variable (m0 : m ∅ MeasurableSet.empty = 0)
 variable
   (mU :
     ∀ ⦃f : ℕ → Set α⦄ (hm : ∀ i, MeasurableSet (f i)),
-      Pairwise (Disjoint on f) → m (⋃ i, f i) (MeasurableSet.unionᵢ hm) = ∑' i, m (f i) (hm i))
+      Pairwise (Disjoint on f) → m (⋃ i, f i) (MeasurableSet.iUnion hm) = ∑' i, m (f i) (hm i))
 
 theorem extend_mono {s₁ s₂ : Set α} (h₁ : MeasurableSet s₁) (hs : s₁ ⊆ s₂) :
     extend m s₁ ≤ extend m s₂ := by
-  refine' le_infᵢ _; intro h₂
+  refine' le_iInf _; intro h₂
   have :=
-    extend_union MeasurableSet.empty m0 MeasurableSet.unionᵢ mU disjoint_sdiff_self_right h₁
+    extend_union MeasurableSet.empty m0 MeasurableSet.iUnion mU disjoint_sdiff_self_right h₁
       (h₂.diff h₁)
   rw [union_diff_cancel hs] at this
   rw [← extend_eq m]
   exact le_iff_exists_add.2 ⟨_, this⟩
 #align measure_theory.extend_mono MeasureTheory.extend_mono
 
-theorem extend_unionᵢ_le_tsum_nat : ∀ s : ℕ → Set α,
+theorem extend_iUnion_le_tsum_nat : ∀ s : ℕ → Set α,
     extend m (⋃ i, s i) ≤ ∑' i, extend m (s i) := by
-  refine' extend_unionᵢ_le_tsum_nat' MeasurableSet.unionᵢ _; intro f h
-  simp (config := { singlePass := true }) [unionᵢ_disjointed.symm]
+  refine' extend_iUnion_le_tsum_nat' MeasurableSet.iUnion _; intro f h
+  simp (config := { singlePass := true }) [iUnion_disjointed.symm]
   rw [mU (MeasurableSet.disjointed h) (disjoint_disjointed _)]
   refine' ENNReal.tsum_le_tsum fun i => _
   rw [← extend_eq m, ← extend_eq m]
   exact extend_mono m0 mU (MeasurableSet.disjointed h _) (disjointed_le f _)
-#align measure_theory.extend_Union_le_tsum_nat MeasureTheory.extend_unionᵢ_le_tsum_nat
+#align measure_theory.extend_Union_le_tsum_nat MeasureTheory.extend_iUnion_le_tsum_nat
 
 theorem inducedOuterMeasure_eq_extend {s : Set α} (hs : MeasurableSet s) :
     inducedOuterMeasure m MeasurableSet.empty m0 s = extend m s :=
-  ofFunction_eq s (fun _t => extend_mono m0 mU hs) (extend_unionᵢ_le_tsum_nat m0 mU)
+  ofFunction_eq s (fun _t => extend_mono m0 mU hs) (extend_iUnion_le_tsum_nat m0 mU)
 #align measure_theory.induced_outer_measure_eq_extend MeasureTheory.inducedOuterMeasure_eq_extend
 
 theorem inducedOuterMeasure_eq {s : Set α} (hs : MeasurableSet s) :
@@ -1581,14 +1581,14 @@ def trim : OuterMeasure α :=
 theorem le_trim : m ≤ m.trim := by
   apply le_ofFunction.mpr
   intro s
-  apply le_infᵢ
+  apply le_iInf
   simp
   apply extend_empty <;> simp
 #align measure_theory.outer_measure.le_trim MeasureTheory.OuterMeasure.le_trim
 
 @[simp] --porting note: added `simp`
 theorem trim_eq {s : Set α} (hs : MeasurableSet s) : m.trim s = m s :=
-  inducedOuterMeasure_eq' MeasurableSet.unionᵢ (fun f _hf => m.unionᵢ_nat f)
+  inducedOuterMeasure_eq' MeasurableSet.iUnion (fun f _hf => m.iUnion_nat f)
     (fun _ _ _ _ h => m.mono h) hs
 #align measure_theory.outer_measure.trim_eq MeasureTheory.OuterMeasure.trim_eq
 
@@ -1602,7 +1602,7 @@ theorem trim_congr {m₁ m₂ : OuterMeasure α} (H : ∀ {s : Set α}, Measurab
 
 @[mono]
 theorem trim_mono : Monotone (trim : OuterMeasure α → OuterMeasure α) := fun _m₁ _m₂ H _s =>
-  infᵢ₂_mono fun _f _hs => ENNReal.tsum_le_tsum fun _b => infᵢ_mono fun _hf => H _
+  iInf₂_mono fun _f _hs => ENNReal.tsum_le_tsum fun _b => iInf_mono fun _hf => H _
 #align measure_theory.outer_measure.trim_mono MeasureTheory.OuterMeasure.trim_mono
 
 theorem le_trim_iff {m₁ m₂ : OuterMeasure α} :
@@ -1614,7 +1614,7 @@ theorem le_trim_iff {m₁ m₂ : OuterMeasure α} :
     apply this.trans
     apply forall_congr'
     intro s
-    apply le_infᵢ_iff
+    apply le_iInf_iff
 #align measure_theory.outer_measure.le_trim_iff MeasureTheory.OuterMeasure.le_trim_iff
 
 theorem trim_le_trim_iff {m₁ m₂ : OuterMeasure α} :
@@ -1627,16 +1627,16 @@ theorem trim_eq_trim_iff {m₁ m₂ : OuterMeasure α} :
   simp only [le_antisymm_iff, trim_le_trim_iff, forall_and]
 #align measure_theory.outer_measure.trim_eq_trim_iff MeasureTheory.OuterMeasure.trim_eq_trim_iff
 
-theorem trim_eq_infᵢ (s : Set α) : m.trim s = ⨅ (t) (_st : s ⊆ t) (_ht : MeasurableSet t), m t := by
-  simp (config := { singlePass := true }) only [infᵢ_comm]
+theorem trim_eq_iInf (s : Set α) : m.trim s = ⨅ (t) (_st : s ⊆ t) (_ht : MeasurableSet t), m t := by
+  simp (config := { singlePass := true }) only [iInf_comm]
   exact
-    inducedOuterMeasure_eq_infᵢ MeasurableSet.unionᵢ (fun f _ => m.unionᵢ_nat f)
+    inducedOuterMeasure_eq_iInf MeasurableSet.iUnion (fun f _ => m.iUnion_nat f)
       (fun _ _ _ _ h => m.mono h) s
-#align measure_theory.outer_measure.trim_eq_infi MeasureTheory.OuterMeasure.trim_eq_infᵢ
+#align measure_theory.outer_measure.trim_eq_infi MeasureTheory.OuterMeasure.trim_eq_iInf
 
-theorem trim_eq_infᵢ' (s : Set α) : m.trim s = ⨅ t : { t // s ⊆ t ∧ MeasurableSet t }, m t := by
-  simp [infᵢ_subtype, infᵢ_and, trim_eq_infᵢ]
-#align measure_theory.outer_measure.trim_eq_infi' MeasureTheory.OuterMeasure.trim_eq_infᵢ'
+theorem trim_eq_iInf' (s : Set α) : m.trim s = ⨅ t : { t // s ⊆ t ∧ MeasurableSet t }, m t := by
+  simp [iInf_subtype, iInf_and, trim_eq_iInf]
+#align measure_theory.outer_measure.trim_eq_infi' MeasureTheory.OuterMeasure.trim_eq_iInf'
 
 theorem trim_trim (m : OuterMeasure α) : m.trim.trim = m.trim :=
   trim_eq_trim_iff.2 fun _s => m.trim_eq
@@ -1652,21 +1652,21 @@ theorem trim_zero : (0 : OuterMeasure α).trim = 0 :=
 
 theorem trim_sum_ge {ι} (m : ι → OuterMeasure α) : (sum fun i => (m i).trim) ≤ (sum m).trim :=
   fun s => by
-  simp [trim_eq_infᵢ];
+  simp [trim_eq_iInf];
     exact fun t st ht =>
-      ENNReal.tsum_le_tsum fun i => infᵢ_le_of_le t <| infᵢ_le_of_le st <| infᵢ_le _ ht
+      ENNReal.tsum_le_tsum fun i => iInf_le_of_le t <| iInf_le_of_le st <| iInf_le _ ht
 #align measure_theory.outer_measure.trim_sum_ge MeasureTheory.OuterMeasure.trim_sum_ge
 
 theorem exists_measurable_superset_eq_trim (m : OuterMeasure α) (s : Set α) :
     ∃ t, s ⊆ t ∧ MeasurableSet t ∧ m t = m.trim s := by
-  simp only [trim_eq_infᵢ]; set ms := ⨅ (t : Set α) (st : s ⊆ t) (ht : MeasurableSet t), m t
+  simp only [trim_eq_iInf]; set ms := ⨅ (t : Set α) (st : s ⊆ t) (ht : MeasurableSet t), m t
   by_cases hs : ms = ∞
   · simp only [hs]
-    simp only [infᵢ_eq_top] at hs
+    simp only [iInf_eq_top] at hs
     exact ⟨univ, subset_univ s, MeasurableSet.univ, hs _ (subset_univ s) MeasurableSet.univ⟩
   · have : ∀ r > ms, ∃ t, s ⊆ t ∧ MeasurableSet t ∧ m t < r := by
       intro r hs
-      have : ∃t, MeasurableSet t ∧ s ⊆ t ∧ measureOf m t < r := by simpa [infᵢ_lt_iff] using hs
+      have : ∃t, MeasurableSet t ∧ s ⊆ t ∧ measureOf m t < r := by simpa [iInf_lt_iff] using hs
       rcases this with ⟨t, hmt, hin, hlt⟩
       exists t
     have : ∀ n : ℕ, ∃ t, s ⊆ t ∧ MeasurableSet t ∧ m t < ms + (n : ℝ≥0∞)⁻¹ := by
@@ -1674,15 +1674,15 @@ theorem exists_measurable_superset_eq_trim (m : OuterMeasure α) (s : Set α) :
       refine' this _ (ENNReal.lt_add_right hs _)
       simp
     choose t hsub hm hm' using this
-    refine' ⟨⋂ n, t n, subset_interᵢ hsub, MeasurableSet.interᵢ hm, _⟩
+    refine' ⟨⋂ n, t n, subset_iInter hsub, MeasurableSet.iInter hm, _⟩
     have : Tendsto (fun n : ℕ => ms + (n : ℝ≥0∞)⁻¹) atTop (𝓝 (ms + 0)) :=
       tendsto_const_nhds.add ENNReal.tendsto_inv_nat_nhds_zero
     rw [add_zero] at this
     refine' le_antisymm (ge_of_tendsto' this fun n => _) _
-    · exact le_trans (m.mono' <| interᵢ_subset t n) (hm' n).le
-    · refine' infᵢ_le_of_le (⋂ n, t n) _
-      refine' infᵢ_le_of_le (subset_interᵢ hsub) _
-      refine' infᵢ_le _ (MeasurableSet.interᵢ hm)
+    · exact le_trans (m.mono' <| iInter_subset t n) (hm' n).le
+    · refine' iInf_le_of_le (⋂ n, t n) _
+      refine' iInf_le_of_le (subset_iInter hsub) _
+      refine' iInf_le _ (MeasurableSet.iInter hm)
 #align measure_theory.outer_measure.exists_measurable_superset_eq_trim MeasureTheory.OuterMeasure.exists_measurable_superset_eq_trim
 
 theorem exists_measurable_superset_of_trim_eq_zero {m : OuterMeasure α} {s : Set α}
@@ -1696,10 +1696,10 @@ a measurable set `t ⊇ s` such that `μ i t = (μ i).trim s` for all `i`. -/
 theorem exists_measurable_superset_forall_eq_trim {ι} [Countable ι] (μ : ι → OuterMeasure α)
     (s : Set α) : ∃ t, s ⊆ t ∧ MeasurableSet t ∧ ∀ i, μ i t = (μ i).trim s := by
   choose t hst ht hμt using fun i => (μ i).exists_measurable_superset_eq_trim s
-  replace hst := subset_interᵢ  hst
-  replace ht := MeasurableSet.interᵢ ht
+  replace hst := subset_iInter  hst
+  replace ht := MeasurableSet.iInter ht
   refine' ⟨⋂ i, t i, hst, ht, fun i => le_antisymm _ _⟩
-  exacts[hμt i ▸ (μ i).mono (interᵢ_subset _ _), (mono' _ hst).trans_eq ((μ i).trim_eq ht)]
+  exacts[hμt i ▸ (μ i).mono (iInter_subset _ _), (mono' _ hst).trans_eq ((μ i).trim_eq ht)]
 #align measure_theory.outer_measure.exists_measurable_superset_forall_eq_trim MeasureTheory.OuterMeasure.exists_measurable_superset_forall_eq_trim
 
 /-- If `m₁ s = op (m₂ s) (m₃ s)` for all `s`, then the same is true for `m₁.trim`, `m₂.trim`,
@@ -1735,18 +1735,18 @@ theorem trim_sup (m₁ m₂ : OuterMeasure α) : (m₁ ⊔ m₂).trim = m₁.tri
 
 /-- `trim` sends the supremum of a countable family of outer measures to the supremum
 of the trimmed measures. -/
-theorem trim_supᵢ {ι} [Countable ι] (μ : ι → OuterMeasure α) :
+theorem trim_iSup {ι} [Countable ι] (μ : ι → OuterMeasure α) :
   trim (⨆ i, μ i) = ⨆ i, trim (μ i) := by
-    simp_rw [← @supᵢ_plift_down _ ι]
+    simp_rw [← @iSup_plift_down _ ι]
     ext1 s
     haveI : Countable (Option <| PLift ι) := by exact instCountableOption
     obtain ⟨t, _, _, hμt⟩ :=
       exists_measurable_superset_forall_eq_trim
         (Option.elim' (⨆ i, μ (PLift.down i)) (μ ∘ PLift.down)) s
     simp only [Option.forall, Option.elim'] at hμt
-    simp only [supᵢ_apply, ← hμt.1]
-    exact supᵢ_congr hμt.2
-#align measure_theory.outer_measure.trim_supr MeasureTheory.OuterMeasure.trim_supᵢ
+    simp only [iSup_apply, ← hμt.1]
+    exact iSup_congr hμt.2
+#align measure_theory.outer_measure.trim_supr MeasureTheory.OuterMeasure.trim_iSup
 
 /-- The trimmed property of a measure μ states that `μ.toOuterMeasure.trim = μ.toOuterMeasure`.
 This theorem shows that a restricted trimmed outer measure is a trimmed outer measure. -/

This PR also renames instances in MeasureTheory.MeasurableSpace.

Co-authored-by: Komyyy <pol_tta@outlook.jp> Co-authored-by: ChrisHughes24 <chrishughes24@gmail.com> Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com>

@@ -1586,6 +1586,7 @@ theorem le_trim : m ≤ m.trim := by
   apply extend_empty <;> simp
 #align measure_theory.outer_measure.le_trim MeasureTheory.OuterMeasure.le_trim
 
+@[simp] --porting note: added `simp`
 theorem trim_eq {s : Set α} (hs : MeasurableSet s) : m.trim s = m s :=
   inducedOuterMeasure_eq' MeasurableSet.unionᵢ (fun f _hf => m.unionᵢ_nat f)
     (fun _ _ _ _ h => m.mono h) hs

This PR puts, with one exception, every single remaining by that lies all by itself on its own line to the previous line, thus matching the current behaviour of start-port.sh. The exception is when the by begins the second or later argument to a tuple or anonymous constructor; see https://github.com/leanprover-community/mathlib4/pull/3825#discussion_r1186702599.

Essentially this is s/\n *by$/ by/g, but with manual editing to satisfy the linter's max-100-char-line requirement. The Python style linter is also modified to catch these "isolated bys".

@@ -223,14 +223,13 @@ theorem le_inter_add_diff {m : OuterMeasure α} {t : Set α} (s : Set α) :
   rw [inter_union_diff t s]
 #align measure_theory.outer_measure.le_inter_add_diff MeasureTheory.OuterMeasure.le_inter_add_diff
 
-theorem diff_null (m : OuterMeasure α) (s : Set α) {t : Set α} (ht : m t = 0) : m (s \ t) = m s :=
-  by
+theorem diff_null (m : OuterMeasure α) (s : Set α) {t : Set α} (ht : m t = 0) :
+    m (s \ t) = m s := by
   refine' le_antisymm (m.mono <| diff_subset _ _) _
   calc
     m s ≤ m (s ∩ t) + m (s \ t) := le_inter_add_diff _
     _ ≤ m t + m (s \ t) := (add_le_add_right (m.mono <| inter_subset_right _ _) _)
     _ = m (s \ t) := by rw [ht, zero_add]
-
 #align measure_theory.outer_measure.diff_null MeasureTheory.OuterMeasure.diff_null
 
 theorem union_null (m : OuterMeasure α) {s₁ s₂ : Set α} (h₁ : m s₁ = 0) (h₂ : m s₂ = 0) :
@@ -823,9 +822,8 @@ theorem restrict_ofFunction (s : Set α) (hm : Monotone m) :
       simp only [map_ofFunction Subtype.coe_injective, Subtype.image_preimage_coe]
 #align measure_theory.outer_measure.restrict_of_function MeasureTheory.OuterMeasure.restrict_ofFunction
 
-theorem smul_ofFunction {c : ℝ≥0∞} (hc : c ≠ ∞) :
-    c • OuterMeasure.ofFunction m m_empty = OuterMeasure.ofFunction (c • m) (by simp [m_empty]) :=
-  by
+theorem smul_ofFunction {c : ℝ≥0∞} (hc : c ≠ ∞) : c • OuterMeasure.ofFunction m m_empty =
+    OuterMeasure.ofFunction (c • m) (by simp [m_empty]) := by
   ext1 s
   haveI : Nonempty { t : ℕ → Set α // s ⊆ ⋃ i, t i } := ⟨⟨fun _ => s, subset_unionᵢ (fun _ => s) 0⟩⟩
   simp only [smul_apply, ofFunction_apply, ENNReal.tsum_mul_left, Pi.smul_apply, smul_eq_mul,
@@ -1366,8 +1364,8 @@ theorem extend_unionᵢ_nat {f : ℕ → Set α} (hm : ∀ i, P (f i))
 
 section Subadditive
 
-theorem extend_unionᵢ_le_tsum_nat' (s : ℕ → Set α) : extend m (⋃ i, s i) ≤ ∑' i, extend m (s i) :=
-  by
+theorem extend_unionᵢ_le_tsum_nat' (s : ℕ → Set α) :
+    extend m (⋃ i, s i) ≤ ∑' i, extend m (s i) := by
   by_cases h : ∀ i, P (s i)
   · rw [extend_eq _ (PU h), congr_arg tsum _]
     · apply msU h
@@ -1548,8 +1546,8 @@ theorem extend_mono {s₁ s₂ : Set α} (h₁ : MeasurableSet s₁) (hs : s₁
   exact le_iff_exists_add.2 ⟨_, this⟩
 #align measure_theory.extend_mono MeasureTheory.extend_mono
 
-theorem extend_unionᵢ_le_tsum_nat : ∀ s : ℕ → Set α, extend m (⋃ i, s i) ≤ ∑' i, extend m (s i) :=
-  by
+theorem extend_unionᵢ_le_tsum_nat : ∀ s : ℕ → Set α,
+    extend m (⋃ i, s i) ≤ ∑' i, extend m (s i) := by
   refine' extend_unionᵢ_le_tsum_nat' MeasurableSet.unionᵢ _; intro f h
   simp (config := { singlePass := true }) [unionᵢ_disjointed.symm]
   rw [mU (MeasurableSet.disjointed h) (disjoint_disjointed _)]

Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Komyyy <pol_tta@outlook.jp> Co-authored-by: Johan Commelin <johan@commelin.net>