measure_theory.constructions.borel_space.continuous_linear_map
β·
Mathlib.MeasureTheory.Constructions.BorelSpace.ContinuousLinearMap
The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.
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mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451
@@ -3,8 +3,8 @@ Copyright (c) 2020 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot
-/
-import Mathbin.Analysis.NormedSpace.FiniteDimension
-import Mathbin.MeasureTheory.Constructions.BorelSpace.Basic
+import Analysis.NormedSpace.FiniteDimension
+import MeasureTheory.Constructions.BorelSpace.Basic
#align_import measure_theory.constructions.borel_space.continuous_linear_map from "leanprover-community/mathlib"@"4280f5f32e16755ec7985ce11e189b6cd6ff6735"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,15 +2,12 @@
Copyright (c) 2020 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot
-
-! This file was ported from Lean 3 source module measure_theory.constructions.borel_space.continuous_linear_map
-! leanprover-community/mathlib commit 4280f5f32e16755ec7985ce11e189b6cd6ff6735
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.Analysis.NormedSpace.FiniteDimension
import Mathbin.MeasureTheory.Constructions.BorelSpace.Basic
+#align_import measure_theory.constructions.borel_space.continuous_linear_map from "leanprover-community/mathlib"@"4280f5f32e16755ec7985ce11e189b6cd6ff6735"
+
/-!
# Measurable functions in normed spaces
mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423
@@ -32,15 +32,19 @@ variable {E : Type _} [NormedAddCommGroup E] [NormedSpace π E] [MeasurableSpa
[OpensMeasurableSpace E] {F : Type _} [NormedAddCommGroup F] [NormedSpace π F] [MeasurableSpace F]
[BorelSpace F]
+#print ContinuousLinearMap.measurable /-
@[measurability]
protected theorem measurable (L : E βL[π] F) : Measurable L :=
L.Continuous.Measurable
#align continuous_linear_map.measurable ContinuousLinearMap.measurable
+-/
+#print ContinuousLinearMap.measurable_comp /-
theorem measurable_comp (L : E βL[π] F) {Ο : Ξ± β E} (Ο_meas : Measurable Ο) :
Measurable fun a : Ξ± => L (Ο a) :=
L.Measurable.comp Ο_meas
#align continuous_linear_map.measurable_comp ContinuousLinearMap.measurable_comp
+-/
end ContinuousLinearMap
@@ -57,23 +61,29 @@ instance : MeasurableSpace (E βL[π] F) :=
instance : BorelSpace (E βL[π] F) :=
β¨rflβ©
+#print ContinuousLinearMap.measurable_apply /-
@[measurability]
theorem measurable_apply [MeasurableSpace F] [BorelSpace F] (x : E) :
Measurable fun f : E βL[π] F => f x :=
(apply π F x).Continuous.Measurable
#align continuous_linear_map.measurable_apply ContinuousLinearMap.measurable_apply
+-/
+#print ContinuousLinearMap.measurable_apply' /-
@[measurability]
theorem measurable_apply' [MeasurableSpace E] [OpensMeasurableSpace E] [MeasurableSpace F]
[BorelSpace F] : Measurable fun (x : E) (f : E βL[π] F) => f x :=
measurable_pi_lambda _ fun f => f.Measurable
#align continuous_linear_map.measurable_apply' ContinuousLinearMap.measurable_apply'
+-/
+#print ContinuousLinearMap.measurable_coe /-
@[measurability]
theorem measurable_coe [MeasurableSpace F] [BorelSpace F] :
Measurable fun (f : E βL[π] F) (x : E) => f x :=
measurable_pi_lambda _ measurable_apply
#align continuous_linear_map.measurable_coe ContinuousLinearMap.measurable_coe
+-/
end ContinuousLinearMap
@@ -84,17 +94,21 @@ variable {π : Type _} [NontriviallyNormedField π]
variable {E : Type _} [NormedAddCommGroup E] [NormedSpace π E] [MeasurableSpace E] [BorelSpace E]
{F : Type _} [NormedAddCommGroup F] [NormedSpace π F]
+#print Measurable.apply_continuousLinearMap /-
@[measurability]
theorem Measurable.apply_continuousLinearMap {Ο : Ξ± β F βL[π] E} (hΟ : Measurable Ο) (v : F) :
Measurable fun a => Ο a v :=
(ContinuousLinearMap.apply π E v).Measurable.comp hΟ
#align measurable.apply_continuous_linear_map Measurable.apply_continuousLinearMap
+-/
+#print AEMeasurable.apply_continuousLinearMap /-
@[measurability]
theorem AEMeasurable.apply_continuousLinearMap {Ο : Ξ± β F βL[π] E} {ΞΌ : Measure Ξ±}
(hΟ : AEMeasurable Ο ΞΌ) (v : F) : AEMeasurable (fun a => Ο a v) ΞΌ :=
(ContinuousLinearMap.apply π E v).Measurable.comp_aemeasurable hΟ
#align ae_measurable.apply_continuous_linear_map AEMeasurable.apply_continuousLinearMap
+-/
end ContinuousLinearMapNontriviallyNormedField
@@ -105,15 +119,19 @@ variable {π : Type _} [NontriviallyNormedField π] [CompleteSpace π] [Me
variable [BorelSpace π] {E : Type _} [NormedAddCommGroup E] [NormedSpace π E] [MeasurableSpace E]
[BorelSpace E]
+#print measurable_smul_const /-
theorem measurable_smul_const {f : Ξ± β π} {c : E} (hc : c β 0) :
(Measurable fun x => f x β’ c) β Measurable f :=
(closedEmbedding_smul_left hc).MeasurableEmbedding.measurable_comp_iff
#align measurable_smul_const measurable_smul_const
+-/
+#print aemeasurable_smul_const /-
theorem aemeasurable_smul_const {f : Ξ± β π} {ΞΌ : Measure Ξ±} {c : E} (hc : c β 0) :
AEMeasurable (fun x => f x β’ c) ΞΌ β AEMeasurable f ΞΌ :=
(closedEmbedding_smul_left hc).MeasurableEmbedding.aemeasurable_comp_iff
#align ae_measurable_smul_const aemeasurable_smul_const
+-/
end NormedSpace
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -32,17 +32,11 @@ variable {E : Type _} [NormedAddCommGroup E] [NormedSpace π E] [MeasurableSpa
[OpensMeasurableSpace E] {F : Type _} [NormedAddCommGroup F] [NormedSpace π F] [MeasurableSpace F]
[BorelSpace F]
-/- warning: continuous_linear_map.measurable -> ContinuousLinearMap.measurable is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.measurable ContinuousLinearMap.measurableβ'. -/
@[measurability]
protected theorem measurable (L : E βL[π] F) : Measurable L :=
L.Continuous.Measurable
#align continuous_linear_map.measurable ContinuousLinearMap.measurable
-/- warning: continuous_linear_map.measurable_comp -> ContinuousLinearMap.measurable_comp is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.measurable_comp ContinuousLinearMap.measurable_compβ'. -/
theorem measurable_comp (L : E βL[π] F) {Ο : Ξ± β E} (Ο_meas : Measurable Ο) :
Measurable fun a : Ξ± => L (Ο a) :=
L.Measurable.comp Ο_meas
@@ -63,27 +57,18 @@ instance : MeasurableSpace (E βL[π] F) :=
instance : BorelSpace (E βL[π] F) :=
β¨rflβ©
-/- warning: continuous_linear_map.measurable_apply -> ContinuousLinearMap.measurable_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.measurable_apply ContinuousLinearMap.measurable_applyβ'. -/
@[measurability]
theorem measurable_apply [MeasurableSpace F] [BorelSpace F] (x : E) :
Measurable fun f : E βL[π] F => f x :=
(apply π F x).Continuous.Measurable
#align continuous_linear_map.measurable_apply ContinuousLinearMap.measurable_apply
-/- warning: continuous_linear_map.measurable_apply' -> ContinuousLinearMap.measurable_apply' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.measurable_apply' ContinuousLinearMap.measurable_apply'β'. -/
@[measurability]
theorem measurable_apply' [MeasurableSpace E] [OpensMeasurableSpace E] [MeasurableSpace F]
[BorelSpace F] : Measurable fun (x : E) (f : E βL[π] F) => f x :=
measurable_pi_lambda _ fun f => f.Measurable
#align continuous_linear_map.measurable_apply' ContinuousLinearMap.measurable_apply'
-/- warning: continuous_linear_map.measurable_coe -> ContinuousLinearMap.measurable_coe is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.measurable_coe ContinuousLinearMap.measurable_coeβ'. -/
@[measurability]
theorem measurable_coe [MeasurableSpace F] [BorelSpace F] :
Measurable fun (f : E βL[π] F) (x : E) => f x :=
@@ -99,18 +84,12 @@ variable {π : Type _} [NontriviallyNormedField π]
variable {E : Type _} [NormedAddCommGroup E] [NormedSpace π E] [MeasurableSpace E] [BorelSpace E]
{F : Type _} [NormedAddCommGroup F] [NormedSpace π F]
-/- warning: measurable.apply_continuous_linear_map -> Measurable.apply_continuousLinearMap is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measurable.apply_continuous_linear_map Measurable.apply_continuousLinearMapβ'. -/
@[measurability]
theorem Measurable.apply_continuousLinearMap {Ο : Ξ± β F βL[π] E} (hΟ : Measurable Ο) (v : F) :
Measurable fun a => Ο a v :=
(ContinuousLinearMap.apply π E v).Measurable.comp hΟ
#align measurable.apply_continuous_linear_map Measurable.apply_continuousLinearMap
-/- warning: ae_measurable.apply_continuous_linear_map -> AEMeasurable.apply_continuousLinearMap is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align ae_measurable.apply_continuous_linear_map AEMeasurable.apply_continuousLinearMapβ'. -/
@[measurability]
theorem AEMeasurable.apply_continuousLinearMap {Ο : Ξ± β F βL[π] E} {ΞΌ : Measure Ξ±}
(hΟ : AEMeasurable Ο ΞΌ) (v : F) : AEMeasurable (fun a => Ο a v) ΞΌ :=
@@ -126,17 +105,11 @@ variable {π : Type _} [NontriviallyNormedField π] [CompleteSpace π] [Me
variable [BorelSpace π] {E : Type _} [NormedAddCommGroup E] [NormedSpace π E] [MeasurableSpace E]
[BorelSpace E]
-/- warning: measurable_smul_const -> measurable_smul_const is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align measurable_smul_const measurable_smul_constβ'. -/
theorem measurable_smul_const {f : Ξ± β π} {c : E} (hc : c β 0) :
(Measurable fun x => f x β’ c) β Measurable f :=
(closedEmbedding_smul_left hc).MeasurableEmbedding.measurable_comp_iff
#align measurable_smul_const measurable_smul_const
-/- warning: ae_measurable_smul_const -> aemeasurable_smul_const is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align ae_measurable_smul_const aemeasurable_smul_constβ'. -/
theorem aemeasurable_smul_const {f : Ξ± β π} {ΞΌ : Measure Ξ±} {c : E} (hc : c β 0) :
AEMeasurable (fun x => f x β’ c) ΞΌ β AEMeasurable f ΞΌ :=
(closedEmbedding_smul_left hc).MeasurableEmbedding.aemeasurable_comp_iff
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -33,10 +33,7 @@ variable {E : Type _} [NormedAddCommGroup E] [NormedSpace π E] [MeasurableSpa
[BorelSpace F]
/- warning: continuous_linear_map.measurable -> ContinuousLinearMap.measurable is a dubious translation:
-lean 3 declaration is
- forall {π : Type.{u1}} [_inst_2 : NormedField.{u1} π] {E : Type.{u2}} [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] [_inst_5 : MeasurableSpace.{u2} E] [_inst_6 : OpensMeasurableSpace.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) _inst_5] {F : Type.{u3}} [_inst_7 : NormedAddCommGroup.{u3} F] [_inst_8 : NormedSpace.{u1, u3} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)] [_inst_9 : MeasurableSpace.{u3} F] [_inst_10 : BorelSpace.{u3} F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) _inst_9] (L : ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π _inst_2)))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π _inst_2)))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) (NormedSpace.toModule.{u1, u2} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8)), Measurable.{u2, u3} E F _inst_5 _inst_9 (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π _inst_2)))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π _inst_2)))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) (NormedSpace.toModule.{u1, u2} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π _inst_2)))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π _inst_2)))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) (NormedSpace.toModule.{u1, u2} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π _inst_2)))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π _inst_2)))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) (NormedSpace.toModule.{u1, u2} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8)) L)
-but is expected to have type
- forall {π : Type.{u3}} [_inst_2 : NormedField.{u3} π] {E : Type.{u2}} [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u3, u2} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] [_inst_5 : MeasurableSpace.{u2} E] [_inst_6 : OpensMeasurableSpace.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) _inst_5] {F : Type.{u1}} [_inst_7 : NormedAddCommGroup.{u1} F] [_inst_8 : NormedSpace.{u3, u1} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_7)] [_inst_9 : MeasurableSpace.{u1} F] [_inst_10 : BorelSpace.{u1} F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_7)))) _inst_9] (L : ContinuousLinearMap.{u3, u3, u2, u1} π π (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))) (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))) (RingHom.id.{u3} π (Semiring.toNonAssocSemiring.{u3} π (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_7)) (NormedSpace.toModule.{u3, u2} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u3, u1} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_7) _inst_8)), Measurable.{u2, u1} E F _inst_5 _inst_9 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u3, u3, u2, u1} π π (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))) (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))) (RingHom.id.{u3} π (Semiring.toNonAssocSemiring.{u3} π (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_7)) (NormedSpace.toModule.{u3, u2} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u3, u1} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_7) _inst_8)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u3, u3, u2, u1} π π (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))) (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))) (RingHom.id.{u3} π (Semiring.toNonAssocSemiring.{u3} π (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_7)) (NormedSpace.toModule.{u3, u2} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u3, u1} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_7) _inst_8)) E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_7)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u3, u3, u2, u1} (ContinuousLinearMap.{u3, u3, u2, u1} π π (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))) (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))) (RingHom.id.{u3} π (Semiring.toNonAssocSemiring.{u3} π (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_7)) (NormedSpace.toModule.{u3, u2} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u3, u1} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_7) _inst_8)) π π (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))) (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))) (RingHom.id.{u3} π (Semiring.toNonAssocSemiring.{u3} π (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_7)) (NormedSpace.toModule.{u3, u2} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u3, u1} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_7) _inst_8) (ContinuousLinearMap.continuousSemilinearMapClass.{u3, u3, u2, u1} π π (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))) (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))) (RingHom.id.{u3} π (Semiring.toNonAssocSemiring.{u3} π (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_7)) (NormedSpace.toModule.{u3, u2} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u3, u1} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_7) _inst_8)))) L)
+<too large>
Case conversion may be inaccurate. Consider using '#align continuous_linear_map.measurable ContinuousLinearMap.measurableβ'. -/
@[measurability]
protected theorem measurable (L : E βL[π] F) : Measurable L :=
@@ -44,10 +41,7 @@ protected theorem measurable (L : E βL[π] F) : Measurable L :=
#align continuous_linear_map.measurable ContinuousLinearMap.measurable
/- warning: continuous_linear_map.measurable_comp -> ContinuousLinearMap.measurable_comp is a dubious translation:
-lean 3 declaration is
- forall {Ξ± : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} Ξ±] {π : Type.{u2}} [_inst_2 : NormedField.{u2} π] {E : Type.{u3}} [_inst_3 : NormedAddCommGroup.{u3} E] [_inst_4 : NormedSpace.{u2, u3} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)] [_inst_5 : MeasurableSpace.{u3} E] [_inst_6 : OpensMeasurableSpace.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) _inst_5] {F : Type.{u4}} [_inst_7 : NormedAddCommGroup.{u4} F] [_inst_8 : NormedSpace.{u2, u4} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)] [_inst_9 : MeasurableSpace.{u4} F] [_inst_10 : BorelSpace.{u4} F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)))) _inst_9] (L : ContinuousLinearMap.{u2, u2, u3, u4} π π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π _inst_2)))) (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π _inst_2)))) (RingHom.id.{u2} π (Semiring.toNonAssocSemiring.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_7)) (NormedSpace.toModule.{u2, u3} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u2, u4} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7) _inst_8)) {Ο : Ξ± -> E}, (Measurable.{u1, u3} Ξ± E _inst_1 _inst_5 Ο) -> (Measurable.{u1, u4} Ξ± F _inst_1 _inst_9 (fun (a : Ξ±) => coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u2, u2, u3, u4} π π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π _inst_2)))) (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π _inst_2)))) (RingHom.id.{u2} π (Semiring.toNonAssocSemiring.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_7)) (NormedSpace.toModule.{u2, u3} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u2, u4} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7) _inst_8)) (fun (_x : ContinuousLinearMap.{u2, u2, u3, u4} π π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π _inst_2)))) (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π _inst_2)))) (RingHom.id.{u2} π (Semiring.toNonAssocSemiring.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_7)) (NormedSpace.toModule.{u2, u3} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u2, u4} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7) _inst_8)) => E -> F) (ContinuousLinearMap.toFun.{u2, u2, u3, u4} π π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π _inst_2)))) (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π _inst_2)))) (RingHom.id.{u2} π (Semiring.toNonAssocSemiring.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_7)) (NormedSpace.toModule.{u2, u3} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u2, u4} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7) _inst_8)) L (Ο a)))
-but is expected to have type
- forall {Ξ± : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} Ξ±] {π : Type.{u4}} [_inst_2 : NormedField.{u4} π] {E : Type.{u3}} [_inst_3 : NormedAddCommGroup.{u3} E] [_inst_4 : NormedSpace.{u4, u3} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)] [_inst_5 : MeasurableSpace.{u3} E] [_inst_6 : OpensMeasurableSpace.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) _inst_5] {F : Type.{u2}} [_inst_7 : NormedAddCommGroup.{u2} F] [_inst_8 : NormedSpace.{u4, u2} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_7)] [_inst_9 : MeasurableSpace.{u2} F] [_inst_10 : BorelSpace.{u2} F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_7)))) _inst_9] (L : ContinuousLinearMap.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_7)) (NormedSpace.toModule.{u4, u3} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u4, u2} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_7) _inst_8)) {Ο : Ξ± -> E}, (Measurable.{u1, u3} Ξ± E _inst_1 _inst_5 Ο) -> (Measurable.{u1, u2} Ξ± F _inst_1 _inst_9 (fun (a : Ξ±) => FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (ContinuousLinearMap.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_7)) (NormedSpace.toModule.{u4, u3} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u4, u2} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_7) _inst_8)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u2, u3, u2} (ContinuousLinearMap.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_7)) (NormedSpace.toModule.{u4, u3} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u4, u2} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_7) _inst_8)) E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_7)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u2, u4, u4, u3, u2} (ContinuousLinearMap.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_7)) (NormedSpace.toModule.{u4, u3} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u4, u2} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_7) _inst_8)) π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_7)) (NormedSpace.toModule.{u4, u3} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u4, u2} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_7) _inst_8) (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_7)) (NormedSpace.toModule.{u4, u3} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u4, u2} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_7) _inst_8)))) L (Ο a)))
+<too large>
Case conversion may be inaccurate. Consider using '#align continuous_linear_map.measurable_comp ContinuousLinearMap.measurable_compβ'. -/
theorem measurable_comp (L : E βL[π] F) {Ο : Ξ± β E} (Ο_meas : Measurable Ο) :
Measurable fun a : Ξ± => L (Ο a) :=
@@ -70,10 +64,7 @@ instance : BorelSpace (E βL[π] F) :=
β¨rflβ©
/- warning: continuous_linear_map.measurable_apply -> ContinuousLinearMap.measurable_apply is a dubious translation:
-lean 3 declaration is
- forall {π : Type.{u1}} [_inst_2 : NontriviallyNormedField.{u1} π] {E : Type.{u2}} [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] {F : Type.{u3}} [_inst_5 : NormedAddCommGroup.{u3} F] [_inst_6 : NormedSpace.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)] [_inst_7 : MeasurableSpace.{u3} F] [_inst_8 : BorelSpace.{u3} F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) _inst_7] (x : E), Measurable.{max u2 u3, u3} (ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) F (ContinuousLinearMap.instMeasurableSpace.{u1, u2, u3} π _inst_2 E _inst_3 _inst_4 F _inst_5 _inst_6) _inst_7 (fun (f : ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) => coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) f x)
-but is expected to have type
- forall {π : Type.{u1}} [_inst_2 : NontriviallyNormedField.{u1} π] {E : Type.{u2}} [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] {F : Type.{u3}} [_inst_5 : NormedAddCommGroup.{u3} F] [_inst_6 : NormedSpace.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)] [_inst_7 : MeasurableSpace.{u3} F] [_inst_8 : BorelSpace.{u3} F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) _inst_7] (x : E), Measurable.{max u2 u3, u3} (ContinuousLinearMap.{u1, u1, u2, u3} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} 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(NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (ContinuousLinearMap.instMeasurableSpace.{u1, u2, u3} π _inst_2 E _inst_3 _inst_4 F _inst_5 _inst_6) _inst_7 (fun (f : ContinuousLinearMap.{u1, u1, u2, u3} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) => FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (ContinuousLinearMap.{u1, u1, u2, u3} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u2 u3, u2, u3} (ContinuousLinearMap.{u1, u1, u2, u3} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u3, u1, u1, u2, u3} (ContinuousLinearMap.{u1, u1, u2, u3} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u3} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)))) f x)
+<too large>
Case conversion may be inaccurate. Consider using '#align continuous_linear_map.measurable_apply ContinuousLinearMap.measurable_applyβ'. -/
@[measurability]
theorem measurable_apply [MeasurableSpace F] [BorelSpace F] (x : E) :
@@ -82,10 +73,7 @@ theorem measurable_apply [MeasurableSpace F] [BorelSpace F] (x : E) :
#align continuous_linear_map.measurable_apply ContinuousLinearMap.measurable_apply
/- warning: continuous_linear_map.measurable_apply' -> ContinuousLinearMap.measurable_apply' is a dubious translation:
-lean 3 declaration is
- forall {π : Type.{u1}} [_inst_2 : NontriviallyNormedField.{u1} π] {E : Type.{u2}} [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] {F : Type.{u3}} [_inst_5 : NormedAddCommGroup.{u3} F] [_inst_6 : NormedSpace.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)] [_inst_7 : MeasurableSpace.{u2} E] [_inst_8 : OpensMeasurableSpace.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) _inst_7] [_inst_9 : MeasurableSpace.{u3} F] [_inst_10 : BorelSpace.{u3} F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) _inst_9], Measurable.{u2, max u2 u3} E ((ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) -> F) _inst_7 (MeasurableSpace.pi.{max u2 u3, u3} (ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) (fun (f : ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) => F) (fun (a : ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) => _inst_9)) (fun (x : E) (f : ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) => coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) f x)
-but is expected to have type
- forall {π : Type.{u1}} [_inst_2 : NontriviallyNormedField.{u1} π] {E : Type.{u3}} [_inst_3 : NormedAddCommGroup.{u3} E] [_inst_4 : NormedSpace.{u1, u3} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)] {F : Type.{u2}} [_inst_5 : NormedAddCommGroup.{u2} F] [_inst_6 : NormedSpace.{u1, u2} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5)] [_inst_7 : MeasurableSpace.{u3} E] [_inst_8 : OpensMeasurableSpace.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) _inst_7] [_inst_9 : MeasurableSpace.{u2} F] [_inst_10 : BorelSpace.{u2} F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5)))) _inst_9], Measurable.{u3, max u3 u2} E ((ContinuousLinearMap.{u1, u1, u3, u2} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_5)) (NormedSpace.toModule.{u1, u3} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u2} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5) _inst_6)) -> F) _inst_7 (MeasurableSpace.pi.{max u3 u2, u2} (ContinuousLinearMap.{u1, u1, u3, u2} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_5)) (NormedSpace.toModule.{u1, u3} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u2} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5) _inst_6)) (fun (f : ContinuousLinearMap.{u1, u1, u3, u2} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_5)) (NormedSpace.toModule.{u1, u3} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u2} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5) _inst_6)) => F) (fun (a : ContinuousLinearMap.{u1, u1, u3, u2} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_5)) (NormedSpace.toModule.{u1, u3} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u2} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5) _inst_6)) => _inst_9)) (fun (x : E) (f : ContinuousLinearMap.{u1, u1, u3, u2} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_5)) (NormedSpace.toModule.{u1, u3} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u2} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5) _inst_6)) => FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (ContinuousLinearMap.{u1, u1, u3, u2} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_5)) (NormedSpace.toModule.{u1, u3} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u2} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5) _inst_6)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u2, u3, u2} (ContinuousLinearMap.{u1, u1, u3, u2} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_5)) (NormedSpace.toModule.{u1, u3} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u2} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5) _inst_6)) E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u2, u1, u1, u3, u2} (ContinuousLinearMap.{u1, u1, u3, u2} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_5)) (NormedSpace.toModule.{u1, u3} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u2} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5) _inst_6)) π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_5)) (NormedSpace.toModule.{u1, u3} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u2} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5) _inst_6) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u3, u2} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_5)) (NormedSpace.toModule.{u1, u3} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u2} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5) _inst_6)))) f x)
+<too large>
Case conversion may be inaccurate. Consider using '#align continuous_linear_map.measurable_apply' ContinuousLinearMap.measurable_apply'β'. -/
@[measurability]
theorem measurable_apply' [MeasurableSpace E] [OpensMeasurableSpace E] [MeasurableSpace F]
@@ -94,10 +82,7 @@ theorem measurable_apply' [MeasurableSpace E] [OpensMeasurableSpace E] [Measurab
#align continuous_linear_map.measurable_apply' ContinuousLinearMap.measurable_apply'
/- warning: continuous_linear_map.measurable_coe -> ContinuousLinearMap.measurable_coe is a dubious translation:
-lean 3 declaration is
- forall {π : Type.{u1}} [_inst_2 : NontriviallyNormedField.{u1} π] {E : Type.{u2}} [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] {F : Type.{u3}} [_inst_5 : NormedAddCommGroup.{u3} F] [_inst_6 : NormedSpace.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)] [_inst_7 : MeasurableSpace.{u3} F] [_inst_8 : BorelSpace.{u3} F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) _inst_7], Measurable.{max u2 u3, max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) (E -> F) (ContinuousLinearMap.instMeasurableSpace.{u1, u2, u3} π _inst_2 E _inst_3 _inst_4 F _inst_5 _inst_6) (MeasurableSpace.pi.{u2, u3} E (fun (x : E) => F) (fun (a : E) => _inst_7)) (fun (f : ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π 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-but is expected to have type
- forall {π : Type.{u1}} [_inst_2 : NontriviallyNormedField.{u1} π] {E : Type.{u2}} [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] {F : Type.{u3}} [_inst_5 : NormedAddCommGroup.{u3} F] [_inst_6 : NormedSpace.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)] [_inst_7 : MeasurableSpace.{u3} F] [_inst_8 : BorelSpace.{u3} F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) _inst_7], Measurable.{max u2 u3, max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π 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(NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u3} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)))) f x)
+<too large>
Case conversion may be inaccurate. Consider using '#align continuous_linear_map.measurable_coe ContinuousLinearMap.measurable_coeβ'. -/
@[measurability]
theorem measurable_coe [MeasurableSpace F] [BorelSpace F] :
@@ -115,10 +100,7 @@ variable {E : Type _} [NormedAddCommGroup E] [NormedSpace π E] [MeasurableSpa
{F : Type _} [NormedAddCommGroup F] [NormedSpace π F]
/- warning: measurable.apply_continuous_linear_map -> Measurable.apply_continuousLinearMap is a dubious translation:
-lean 3 declaration is
- forall {Ξ± : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} Ξ±] {π : Type.{u2}} [_inst_2 : NontriviallyNormedField.{u2} π] {E : Type.{u3}} [_inst_3 : NormedAddCommGroup.{u3} E] [_inst_4 : NormedSpace.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)] [_inst_5 : MeasurableSpace.{u3} E] [_inst_6 : BorelSpace.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) _inst_5] {F : Type.{u4}} [_inst_7 : NormedAddCommGroup.{u4} F] [_inst_8 : NormedSpace.{u2, u4} π F (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)] {Ο : Ξ± -> (ContinuousLinearMap.{u2, u2, u4, u3} π π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (RingHom.id.{u2} π (Semiring.toNonAssocSemiring.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} π F (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7) _inst_8) (NormedSpace.toModule.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4))}, (Measurable.{u1, max u4 u3} Ξ± (ContinuousLinearMap.{u2, u2, u4, u3} π π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (RingHom.id.{u2} π (Semiring.toNonAssocSemiring.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} π F (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7) _inst_8) (NormedSpace.toModule.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4)) _inst_1 (ContinuousLinearMap.instMeasurableSpace.{u2, u4, u3} π _inst_2 F _inst_7 _inst_8 E _inst_3 _inst_4) Ο) -> (forall (v : F), Measurable.{u1, u3} Ξ± E _inst_1 _inst_5 (fun (a : Ξ±) => coeFn.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (ContinuousLinearMap.{u2, u2, u4, u3} π π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (RingHom.id.{u2} π (Semiring.toNonAssocSemiring.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} π F (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7) _inst_8) (NormedSpace.toModule.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4)) (fun (_x : ContinuousLinearMap.{u2, u2, u4, u3} π π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (RingHom.id.{u2} π (Semiring.toNonAssocSemiring.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} π F (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7) _inst_8) (NormedSpace.toModule.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4)) => F -> E) (ContinuousLinearMap.toFun.{u2, u2, u4, u3} π π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (RingHom.id.{u2} π (Semiring.toNonAssocSemiring.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} π F (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7) _inst_8) (NormedSpace.toModule.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4)) (Ο a) v))
-but is expected to have type
- forall {Ξ± : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} Ξ±] {π : Type.{u4}} [_inst_2 : NontriviallyNormedField.{u4} π] {E : Type.{u2}} [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u4, u2} π E (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] [_inst_5 : MeasurableSpace.{u2} E] [_inst_6 : BorelSpace.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) _inst_5] {F : Type.{u3}} [_inst_7 : NormedAddCommGroup.{u3} F] [_inst_8 : NormedSpace.{u4, u3} π F (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)] {Ο : Ξ± -> (ContinuousLinearMap.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u4, u3} π F (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8) (NormedSpace.toModule.{u4, u2} π E (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))}, (Measurable.{u1, max u2 u3} Ξ± (ContinuousLinearMap.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u4, u3} π F (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8) (NormedSpace.toModule.{u4, u2} π E (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) _inst_1 (ContinuousLinearMap.instMeasurableSpace.{u4, u3, u2} π _inst_2 F _inst_7 _inst_8 E _inst_3 _inst_4) Ο) -> (forall (v : F), Measurable.{u1, u2} Ξ± ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => E) v) _inst_1 _inst_5 (fun (a : Ξ±) => FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (ContinuousLinearMap.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u4, u3} π F (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8) (NormedSpace.toModule.{u4, u2} π E (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => E) _x) (ContinuousMapClass.toFunLike.{max u2 u3, u3, u2} (ContinuousLinearMap.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) E 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_inst_3)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u3, u4, u4, u3, u2} (ContinuousLinearMap.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u4, u3} π F (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8) (NormedSpace.toModule.{u4, u2} π E (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8) (NormedSpace.toModule.{u4, u2} π E (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u4, u3} π F (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8) (NormedSpace.toModule.{u4, u2} π E (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)))) (Ο a) v))
+<too large>
Case conversion may be inaccurate. Consider using '#align measurable.apply_continuous_linear_map Measurable.apply_continuousLinearMapβ'. -/
@[measurability]
theorem Measurable.apply_continuousLinearMap {Ο : Ξ± β F βL[π] E} (hΟ : Measurable Ο) (v : F) :
@@ -127,10 +109,7 @@ theorem Measurable.apply_continuousLinearMap {Ο : Ξ± β F βL[π] E} (hΟ :
#align measurable.apply_continuous_linear_map Measurable.apply_continuousLinearMap
/- warning: ae_measurable.apply_continuous_linear_map -> AEMeasurable.apply_continuousLinearMap is a dubious translation:
-lean 3 declaration is
- forall {Ξ± : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} Ξ±] {π : Type.{u2}} [_inst_2 : NontriviallyNormedField.{u2} π] {E : Type.{u3}} [_inst_3 : NormedAddCommGroup.{u3} E] [_inst_4 : NormedSpace.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)] [_inst_5 : MeasurableSpace.{u3} E] [_inst_6 : BorelSpace.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) _inst_5] {F : Type.{u4}} [_inst_7 : NormedAddCommGroup.{u4} F] [_inst_8 : NormedSpace.{u2, u4} π F (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)] {Ο : Ξ± -> (ContinuousLinearMap.{u2, u2, u4, u3} π π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (RingHom.id.{u2} π (Semiring.toNonAssocSemiring.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} π F (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7) _inst_8) (NormedSpace.toModule.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4))} {ΞΌ : MeasureTheory.Measure.{u1} Ξ± _inst_1}, (AEMeasurable.{u1, max u4 u3} Ξ± (ContinuousLinearMap.{u2, u2, u4, u3} π π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (RingHom.id.{u2} π (Semiring.toNonAssocSemiring.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} π F (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7) _inst_8) (NormedSpace.toModule.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4)) (ContinuousLinearMap.instMeasurableSpace.{u2, u4, u3} π _inst_2 F _inst_7 _inst_8 E _inst_3 _inst_4) _inst_1 Ο ΞΌ) -> (forall (v : F), AEMeasurable.{u1, u3} Ξ± E _inst_5 _inst_1 (fun (a : Ξ±) => coeFn.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (ContinuousLinearMap.{u2, u2, u4, u3} π π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (RingHom.id.{u2} π (Semiring.toNonAssocSemiring.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F 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E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} π F (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7) _inst_8) (NormedSpace.toModule.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4)) => F -> E) (ContinuousLinearMap.toFun.{u2, u2, u4, u3} π π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (RingHom.id.{u2} π (Semiring.toNonAssocSemiring.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} π F (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7) _inst_8) (NormedSpace.toModule.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4)) (Ο a) v) ΞΌ)
-but is expected to have type
- forall {Ξ± : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} Ξ±] {π : Type.{u4}} [_inst_2 : NontriviallyNormedField.{u4} π] {E : Type.{u2}} [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u4, u2} π E (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] [_inst_5 : MeasurableSpace.{u2} E] [_inst_6 : BorelSpace.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) _inst_5] {F : Type.{u3}} [_inst_7 : NormedAddCommGroup.{u3} F] [_inst_8 : NormedSpace.{u4, u3} π F (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)] {Ο : Ξ± -> (ContinuousLinearMap.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u4, u3} π F (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8) (NormedSpace.toModule.{u4, u2} π E (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))} {ΞΌ : MeasureTheory.Measure.{u1} Ξ± _inst_1}, (AEMeasurable.{u1, max u2 u3} Ξ± (ContinuousLinearMap.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u4, u3} π F (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8) (NormedSpace.toModule.{u4, u2} π E (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (ContinuousLinearMap.instMeasurableSpace.{u4, u3, u2} π _inst_2 F _inst_7 _inst_8 E _inst_3 _inst_4) _inst_1 Ο ΞΌ) -> (forall (v : F), AEMeasurable.{u1, u2} Ξ± ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => E) v) _inst_5 _inst_1 (fun (a : Ξ±) => FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (ContinuousLinearMap.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u4, u3} π F (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8) (NormedSpace.toModule.{u4, u2} π E (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => E) _x) (ContinuousMapClass.toFunLike.{max u2 u3, u3, u2} (ContinuousLinearMap.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u4, u3} π F (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8) (NormedSpace.toModule.{u4, u2} π E (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) F E (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u3, u4, u4, u3, u2} (ContinuousLinearMap.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u4, u3} π F (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8) (NormedSpace.toModule.{u4, u2} π E (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u4, u3} π F (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8) (NormedSpace.toModule.{u4, u2} π E (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u4, u3} π F (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8) (NormedSpace.toModule.{u4, u2} π E (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)))) (Ο a) v) ΞΌ)
+<too large>
Case conversion may be inaccurate. Consider using '#align ae_measurable.apply_continuous_linear_map AEMeasurable.apply_continuousLinearMapβ'. -/
@[measurability]
theorem AEMeasurable.apply_continuousLinearMap {Ο : Ξ± β F βL[π] E} {ΞΌ : Measure Ξ±}
@@ -148,10 +127,7 @@ variable [BorelSpace π] {E : Type _} [NormedAddCommGroup E] [NormedSpace π
[BorelSpace E]
/- warning: measurable_smul_const -> measurable_smul_const is a dubious translation:
-lean 3 declaration is
- forall {Ξ± : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} Ξ±] {π : Type.{u2}} [_inst_2 : NontriviallyNormedField.{u2} π] [_inst_3 : CompleteSpace.{u2} π (PseudoMetricSpace.toUniformSpace.{u2} π (SeminormedRing.toPseudoMetricSpace.{u2} π (SeminormedCommRing.toSemiNormedRing.{u2} π (NormedCommRing.toSeminormedCommRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))] [_inst_4 : MeasurableSpace.{u2} π] [_inst_5 : BorelSpace.{u2} π (UniformSpace.toTopologicalSpace.{u2} π (PseudoMetricSpace.toUniformSpace.{u2} π (SeminormedRing.toPseudoMetricSpace.{u2} π (SeminormedCommRing.toSemiNormedRing.{u2} π (NormedCommRing.toSeminormedCommRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))) _inst_4] {E : Type.{u3}} [_inst_6 : NormedAddCommGroup.{u3} E] [_inst_7 : NormedSpace.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6)] [_inst_8 : MeasurableSpace.{u3} E] [_inst_9 : BorelSpace.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6)))) _inst_8] {f : Ξ± -> π} {c : E}, (Ne.{succ u3} E c (OfNat.ofNat.{u3} E 0 (OfNat.mk.{u3} E 0 (Zero.zero.{u3} E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (NormedAddGroup.toAddGroup.{u3} E (NormedAddCommGroup.toNormedAddGroup.{u3} E _inst_6)))))))))) -> (Iff (Measurable.{u1, u3} Ξ± E _inst_1 _inst_8 (fun (x : Ξ±) => SMul.smul.{u2, u3} π E (SMulZeroClass.toHasSmul.{u2, u3} π E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} π E (MulZeroClass.toHasZero.{u2} π (MulZeroOneClass.toMulZeroClass.{u2} π (MonoidWithZero.toMulZeroOneClass.{u2} π (Semiring.toMonoidWithZero.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} π E (Semiring.toMonoidWithZero.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6)))))) (Module.toMulActionWithZero.{u2, u3} π E (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6))) (NormedSpace.toModule.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6) _inst_7))))) (f x) c)) (Measurable.{u1, u2} Ξ± π _inst_1 _inst_4 f))
-but is expected to have type
- forall {Ξ± : Type.{u2}} [_inst_1 : MeasurableSpace.{u2} Ξ±] {π : Type.{u1}} [_inst_2 : NontriviallyNormedField.{u1} π] [_inst_3 : CompleteSpace.{u1} π (PseudoMetricSpace.toUniformSpace.{u1} π (SeminormedRing.toPseudoMetricSpace.{u1} π (SeminormedCommRing.toSeminormedRing.{u1} π (NormedCommRing.toSeminormedCommRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))] [_inst_4 : MeasurableSpace.{u1} π] [_inst_5 : BorelSpace.{u1} π (UniformSpace.toTopologicalSpace.{u1} π (PseudoMetricSpace.toUniformSpace.{u1} π (SeminormedRing.toPseudoMetricSpace.{u1} π (SeminormedCommRing.toSeminormedRing.{u1} π (NormedCommRing.toSeminormedCommRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) _inst_4] {E : Type.{u3}} [_inst_6 : NormedAddCommGroup.{u3} E] [_inst_7 : NormedSpace.{u1, u3} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6)] [_inst_8 : MeasurableSpace.{u3} E] [_inst_9 : BorelSpace.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6)))) _inst_8] {f : Ξ± -> π} {c : E}, (Ne.{succ u3} E c (OfNat.ofNat.{u3} E 0 (Zero.toOfNat0.{u3} E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_6))))))))) -> (Iff (Measurable.{u2, u3} Ξ± E _inst_1 _inst_8 (fun (x : Ξ±) => HSMul.hSMul.{u1, u3, u3} π E E (instHSMul.{u1, u3} π E (SMulZeroClass.toSMul.{u1, u3} π E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_6)))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π E (CommMonoidWithZero.toZero.{u1} π (CommGroupWithZero.toCommMonoidWithZero.{u1} π (Semifield.toCommGroupWithZero.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_6)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π E (Semiring.toMonoidWithZero.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_6)))))) (Module.toMulActionWithZero.{u1, u3} π E (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_6)) (NormedSpace.toModule.{u1, u3} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6) _inst_7)))))) (f x) c)) (Measurable.{u2, u1} Ξ± π _inst_1 _inst_4 f))
+<too large>
Case conversion may be inaccurate. Consider using '#align measurable_smul_const measurable_smul_constβ'. -/
theorem measurable_smul_const {f : Ξ± β π} {c : E} (hc : c β 0) :
(Measurable fun x => f x β’ c) β Measurable f :=
@@ -159,10 +135,7 @@ theorem measurable_smul_const {f : Ξ± β π} {c : E} (hc : c β 0) :
#align measurable_smul_const measurable_smul_const
/- warning: ae_measurable_smul_const -> aemeasurable_smul_const is a dubious translation:
-lean 3 declaration is
- forall {Ξ± : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} Ξ±] {π : Type.{u2}} [_inst_2 : NontriviallyNormedField.{u2} π] [_inst_3 : CompleteSpace.{u2} π (PseudoMetricSpace.toUniformSpace.{u2} π (SeminormedRing.toPseudoMetricSpace.{u2} π (SeminormedCommRing.toSemiNormedRing.{u2} π (NormedCommRing.toSeminormedCommRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))] [_inst_4 : MeasurableSpace.{u2} π] [_inst_5 : BorelSpace.{u2} π (UniformSpace.toTopologicalSpace.{u2} π (PseudoMetricSpace.toUniformSpace.{u2} π (SeminormedRing.toPseudoMetricSpace.{u2} π (SeminormedCommRing.toSemiNormedRing.{u2} π (NormedCommRing.toSeminormedCommRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))) _inst_4] {E : Type.{u3}} [_inst_6 : NormedAddCommGroup.{u3} E] [_inst_7 : NormedSpace.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6)] [_inst_8 : MeasurableSpace.{u3} E] [_inst_9 : BorelSpace.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6)))) _inst_8] {f : Ξ± -> π} {ΞΌ : MeasureTheory.Measure.{u1} Ξ± _inst_1} {c : E}, (Ne.{succ u3} E c (OfNat.ofNat.{u3} E 0 (OfNat.mk.{u3} E 0 (Zero.zero.{u3} E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (NormedAddGroup.toAddGroup.{u3} E (NormedAddCommGroup.toNormedAddGroup.{u3} E _inst_6)))))))))) -> (Iff (AEMeasurable.{u1, u3} Ξ± E _inst_8 _inst_1 (fun (x : Ξ±) => SMul.smul.{u2, u3} π E (SMulZeroClass.toHasSmul.{u2, u3} π E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} π E (MulZeroClass.toHasZero.{u2} π (MulZeroOneClass.toMulZeroClass.{u2} π (MonoidWithZero.toMulZeroOneClass.{u2} π (Semiring.toMonoidWithZero.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} π E (Semiring.toMonoidWithZero.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6)))))) (Module.toMulActionWithZero.{u2, u3} π E (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6))) (NormedSpace.toModule.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6) _inst_7))))) (f x) c) ΞΌ) (AEMeasurable.{u1, u2} Ξ± π _inst_4 _inst_1 f ΞΌ))
-but is expected to have type
- forall {Ξ± : Type.{u3}} [_inst_1 : MeasurableSpace.{u3} Ξ±] {π : Type.{u1}} [_inst_2 : NontriviallyNormedField.{u1} π] [_inst_3 : CompleteSpace.{u1} π (PseudoMetricSpace.toUniformSpace.{u1} π (SeminormedRing.toPseudoMetricSpace.{u1} π (SeminormedCommRing.toSeminormedRing.{u1} π (NormedCommRing.toSeminormedCommRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))] [_inst_4 : MeasurableSpace.{u1} π] [_inst_5 : BorelSpace.{u1} π (UniformSpace.toTopologicalSpace.{u1} π (PseudoMetricSpace.toUniformSpace.{u1} π (SeminormedRing.toPseudoMetricSpace.{u1} π (SeminormedCommRing.toSeminormedRing.{u1} π (NormedCommRing.toSeminormedCommRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) _inst_4] {E : Type.{u2}} [_inst_6 : NormedAddCommGroup.{u2} E] [_inst_7 : NormedSpace.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_6)] [_inst_8 : MeasurableSpace.{u2} E] [_inst_9 : BorelSpace.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_6)))) _inst_8] {f : Ξ± -> π} {ΞΌ : MeasureTheory.Measure.{u3} Ξ± _inst_1} {c : E}, (Ne.{succ u2} E c (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_6))))))))) -> (Iff (AEMeasurable.{u3, u2} Ξ± E _inst_8 _inst_1 (fun (x : Ξ±) => HSMul.hSMul.{u1, u2, u2} π E E (instHSMul.{u1, u2} π E (SMulZeroClass.toSMul.{u1, u2} π E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_6)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π E (CommMonoidWithZero.toZero.{u1} π (CommGroupWithZero.toCommMonoidWithZero.{u1} π (Semifield.toCommGroupWithZero.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_6)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π E (Semiring.toMonoidWithZero.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_6)))))) (Module.toMulActionWithZero.{u1, u2} π E (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_6)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_6) _inst_7)))))) (f x) c) ΞΌ) (AEMeasurable.{u3, u1} Ξ± π _inst_4 _inst_1 f ΞΌ))
+<too large>
Case conversion may be inaccurate. Consider using '#align ae_measurable_smul_const aemeasurable_smul_constβ'. -/
theorem aemeasurable_smul_const {f : Ξ± β π} {ΞΌ : Measure Ξ±} {c : E} (hc : c β 0) :
AEMeasurable (fun x => f x β’ c) ΞΌ β AEMeasurable f ΞΌ :=
mathlib commit https://github.com/leanprover-community/mathlib/commit/75e7fca56381d056096ce5d05e938f63a6567828
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot
! This file was ported from Lean 3 source module measure_theory.constructions.borel_space.continuous_linear_map
-! leanprover-community/mathlib commit bf6a01357ff5684b1ebcd0f1a13be314fc82c0bf
+! leanprover-community/mathlib commit 4280f5f32e16755ec7985ce11e189b6cd6ff6735
! Please do not edit these lines, except to modify the commit id
! if you have ported upstream changes.
-/
@@ -14,6 +14,9 @@ import Mathbin.MeasureTheory.Constructions.BorelSpace.Basic
/-!
# Measurable functions in normed spaces
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/33c67ae661dd8988516ff7f247b0be3018cdd952
@@ -29,11 +29,23 @@ variable {E : Type _} [NormedAddCommGroup E] [NormedSpace π E] [MeasurableSpa
[OpensMeasurableSpace E] {F : Type _} [NormedAddCommGroup F] [NormedSpace π F] [MeasurableSpace F]
[BorelSpace F]
+/- warning: continuous_linear_map.measurable -> ContinuousLinearMap.measurable is a dubious translation:
+lean 3 declaration is
+ forall {π : Type.{u1}} [_inst_2 : NormedField.{u1} π] {E : Type.{u2}} [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] [_inst_5 : MeasurableSpace.{u2} E] [_inst_6 : OpensMeasurableSpace.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) _inst_5] {F : Type.{u3}} [_inst_7 : NormedAddCommGroup.{u3} F] [_inst_8 : NormedSpace.{u1, u3} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)] [_inst_9 : MeasurableSpace.{u3} F] [_inst_10 : BorelSpace.{u3} F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) _inst_9] (L : ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π _inst_2)))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π _inst_2)))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) (NormedSpace.toModule.{u1, u2} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8)), Measurable.{u2, u3} E F _inst_5 _inst_9 (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π _inst_2)))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π _inst_2)))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) (NormedSpace.toModule.{u1, u2} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π _inst_2)))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π _inst_2)))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) (NormedSpace.toModule.{u1, u2} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π _inst_2)))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π _inst_2)))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) (NormedSpace.toModule.{u1, u2} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8)) L)
+but is expected to have type
+ forall {π : Type.{u3}} [_inst_2 : NormedField.{u3} π] {E : Type.{u2}} [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u3, u2} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] [_inst_5 : MeasurableSpace.{u2} E] [_inst_6 : OpensMeasurableSpace.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) _inst_5] {F : Type.{u1}} [_inst_7 : NormedAddCommGroup.{u1} F] [_inst_8 : NormedSpace.{u3, u1} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_7)] [_inst_9 : MeasurableSpace.{u1} F] [_inst_10 : BorelSpace.{u1} F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_7)))) _inst_9] (L : ContinuousLinearMap.{u3, u3, u2, u1} π π (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))) (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))) (RingHom.id.{u3} π (Semiring.toNonAssocSemiring.{u3} π (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_7)) (NormedSpace.toModule.{u3, u2} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u3, u1} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_7) _inst_8)), Measurable.{u2, u1} E F _inst_5 _inst_9 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u3, u3, u2, u1} π π (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))) (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))) (RingHom.id.{u3} π (Semiring.toNonAssocSemiring.{u3} π (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_7)) (NormedSpace.toModule.{u3, u2} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u3, u1} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_7) _inst_8)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u3, u3, u2, u1} π π (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))) (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))) (RingHom.id.{u3} π (Semiring.toNonAssocSemiring.{u3} π (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_7)) (NormedSpace.toModule.{u3, u2} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u3, u1} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_7) _inst_8)) E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_7)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u3, u3, u2, u1} (ContinuousLinearMap.{u3, u3, u2, u1} π π (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))) (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))) (RingHom.id.{u3} π (Semiring.toNonAssocSemiring.{u3} π (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_7)) (NormedSpace.toModule.{u3, u2} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u3, u1} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_7) _inst_8)) π π (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))) (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))) (RingHom.id.{u3} π (Semiring.toNonAssocSemiring.{u3} π (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_7)) (NormedSpace.toModule.{u3, u2} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u3, u1} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_7) _inst_8) (ContinuousLinearMap.continuousSemilinearMapClass.{u3, u3, u2, u1} π π (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))) (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))) (RingHom.id.{u3} π (Semiring.toNonAssocSemiring.{u3} π (DivisionSemiring.toSemiring.{u3} π (Semifield.toDivisionSemiring.{u3} π (Field.toSemifield.{u3} π (NormedField.toField.{u3} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_7)) (NormedSpace.toModule.{u3, u2} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u3, u1} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_7) _inst_8)))) L)
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.measurable ContinuousLinearMap.measurableβ'. -/
@[measurability]
protected theorem measurable (L : E βL[π] F) : Measurable L :=
L.Continuous.Measurable
#align continuous_linear_map.measurable ContinuousLinearMap.measurable
+/- warning: continuous_linear_map.measurable_comp -> ContinuousLinearMap.measurable_comp is a dubious translation:
+lean 3 declaration is
+ forall {Ξ± : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} Ξ±] {π : Type.{u2}} [_inst_2 : NormedField.{u2} π] {E : Type.{u3}} [_inst_3 : NormedAddCommGroup.{u3} E] [_inst_4 : NormedSpace.{u2, u3} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)] [_inst_5 : MeasurableSpace.{u3} E] [_inst_6 : OpensMeasurableSpace.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) _inst_5] {F : Type.{u4}} [_inst_7 : NormedAddCommGroup.{u4} F] [_inst_8 : NormedSpace.{u2, u4} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)] [_inst_9 : MeasurableSpace.{u4} F] [_inst_10 : BorelSpace.{u4} F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)))) _inst_9] (L : ContinuousLinearMap.{u2, u2, u3, u4} π π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π _inst_2)))) (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π _inst_2)))) (RingHom.id.{u2} π (Semiring.toNonAssocSemiring.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_7)) (NormedSpace.toModule.{u2, u3} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u2, u4} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7) _inst_8)) {Ο : Ξ± -> E}, (Measurable.{u1, u3} Ξ± E _inst_1 _inst_5 Ο) -> (Measurable.{u1, u4} Ξ± F _inst_1 _inst_9 (fun (a : Ξ±) => coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u2, u2, u3, u4} π π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π _inst_2)))) (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π _inst_2)))) (RingHom.id.{u2} π (Semiring.toNonAssocSemiring.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_7)) (NormedSpace.toModule.{u2, u3} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u2, u4} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7) _inst_8)) (fun (_x : ContinuousLinearMap.{u2, u2, u3, u4} π π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π _inst_2)))) (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π _inst_2)))) (RingHom.id.{u2} π (Semiring.toNonAssocSemiring.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_7)) (NormedSpace.toModule.{u2, u3} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u2, u4} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7) _inst_8)) => E -> F) (ContinuousLinearMap.toFun.{u2, u2, u3, u4} π π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π _inst_2)))) (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π _inst_2)))) (RingHom.id.{u2} π (Semiring.toNonAssocSemiring.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_7)) (NormedSpace.toModule.{u2, u3} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u2, u4} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7) _inst_8)) L (Ο a)))
+but is expected to have type
+ forall {Ξ± : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} Ξ±] {π : Type.{u4}} [_inst_2 : NormedField.{u4} π] {E : Type.{u3}} [_inst_3 : NormedAddCommGroup.{u3} E] [_inst_4 : NormedSpace.{u4, u3} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)] [_inst_5 : MeasurableSpace.{u3} E] [_inst_6 : OpensMeasurableSpace.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) _inst_5] {F : Type.{u2}} [_inst_7 : NormedAddCommGroup.{u2} F] [_inst_8 : NormedSpace.{u4, u2} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_7)] [_inst_9 : MeasurableSpace.{u2} F] [_inst_10 : BorelSpace.{u2} F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_7)))) _inst_9] (L : ContinuousLinearMap.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_7)) (NormedSpace.toModule.{u4, u3} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u4, u2} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_7) _inst_8)) {Ο : Ξ± -> E}, (Measurable.{u1, u3} Ξ± E _inst_1 _inst_5 Ο) -> (Measurable.{u1, u2} Ξ± F _inst_1 _inst_9 (fun (a : Ξ±) => FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (ContinuousLinearMap.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_7)) (NormedSpace.toModule.{u4, u3} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u4, u2} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_7) _inst_8)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u2, u3, u2} (ContinuousLinearMap.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_7)) (NormedSpace.toModule.{u4, u3} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u4, u2} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_7) _inst_8)) E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_7)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u2, u4, u4, u3, u2} (ContinuousLinearMap.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_7)) (NormedSpace.toModule.{u4, u3} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u4, u2} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_7) _inst_8)) π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_7)) (NormedSpace.toModule.{u4, u3} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u4, u2} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_7) _inst_8) (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π _inst_2)))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_7)) (NormedSpace.toModule.{u4, u3} π E _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u4, u2} π F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_7) _inst_8)))) L (Ο a)))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.measurable_comp ContinuousLinearMap.measurable_compβ'. -/
theorem measurable_comp (L : E βL[π] F) {Ο : Ξ± β E} (Ο_meas : Measurable Ο) :
Measurable fun a : Ξ± => L (Ο a) :=
L.Measurable.comp Ο_meas
@@ -54,18 +66,36 @@ instance : MeasurableSpace (E βL[π] F) :=
instance : BorelSpace (E βL[π] F) :=
β¨rflβ©
+/- warning: continuous_linear_map.measurable_apply -> ContinuousLinearMap.measurable_apply is a dubious translation:
+lean 3 declaration is
+ forall {π : Type.{u1}} [_inst_2 : NontriviallyNormedField.{u1} π] {E : Type.{u2}} [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] {F : Type.{u3}} [_inst_5 : NormedAddCommGroup.{u3} F] [_inst_6 : NormedSpace.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)] [_inst_7 : MeasurableSpace.{u3} F] [_inst_8 : BorelSpace.{u3} F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) _inst_7] (x : E), Measurable.{max u2 u3, u3} (ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) F (ContinuousLinearMap.instMeasurableSpace.{u1, u2, u3} π _inst_2 E _inst_3 _inst_4 F _inst_5 _inst_6) _inst_7 (fun (f : ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) => coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) f x)
+but is expected to have type
+ forall {π : Type.{u1}} [_inst_2 : NontriviallyNormedField.{u1} π] {E : Type.{u2}} [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] {F : Type.{u3}} [_inst_5 : NormedAddCommGroup.{u3} F] [_inst_6 : NormedSpace.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)] [_inst_7 : MeasurableSpace.{u3} F] [_inst_8 : BorelSpace.{u3} F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) _inst_7] (x : E), Measurable.{max u2 u3, u3} (ContinuousLinearMap.{u1, u1, u2, u3} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (ContinuousLinearMap.instMeasurableSpace.{u1, u2, u3} π _inst_2 E _inst_3 _inst_4 F _inst_5 _inst_6) _inst_7 (fun (f : ContinuousLinearMap.{u1, u1, u2, u3} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) => FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (ContinuousLinearMap.{u1, u1, u2, u3} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u2 u3, u2, u3} (ContinuousLinearMap.{u1, u1, u2, u3} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u3, u1, u1, u2, u3} (ContinuousLinearMap.{u1, u1, u2, u3} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u3} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)))) f x)
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.measurable_apply ContinuousLinearMap.measurable_applyβ'. -/
@[measurability]
theorem measurable_apply [MeasurableSpace F] [BorelSpace F] (x : E) :
Measurable fun f : E βL[π] F => f x :=
(apply π F x).Continuous.Measurable
#align continuous_linear_map.measurable_apply ContinuousLinearMap.measurable_apply
+/- warning: continuous_linear_map.measurable_apply' -> ContinuousLinearMap.measurable_apply' is a dubious translation:
+lean 3 declaration is
+ forall {π : Type.{u1}} [_inst_2 : NontriviallyNormedField.{u1} π] {E : Type.{u2}} [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] {F : Type.{u3}} [_inst_5 : NormedAddCommGroup.{u3} F] [_inst_6 : NormedSpace.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)] [_inst_7 : MeasurableSpace.{u2} E] [_inst_8 : OpensMeasurableSpace.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) _inst_7] [_inst_9 : MeasurableSpace.{u3} F] [_inst_10 : BorelSpace.{u3} F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) _inst_9], Measurable.{u2, max u2 u3} E ((ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) -> F) _inst_7 (MeasurableSpace.pi.{max u2 u3, u3} (ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) (fun (f : ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) => F) (fun (a : ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) => _inst_9)) (fun (x : E) (f : ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) => coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) f x)
+but is expected to have type
+ forall {π : Type.{u1}} [_inst_2 : NontriviallyNormedField.{u1} π] {E : Type.{u3}} [_inst_3 : NormedAddCommGroup.{u3} E] [_inst_4 : NormedSpace.{u1, u3} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)] {F : Type.{u2}} [_inst_5 : NormedAddCommGroup.{u2} F] [_inst_6 : NormedSpace.{u1, u2} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5)] [_inst_7 : MeasurableSpace.{u3} E] [_inst_8 : OpensMeasurableSpace.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) _inst_7] [_inst_9 : MeasurableSpace.{u2} F] [_inst_10 : BorelSpace.{u2} F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5)))) _inst_9], Measurable.{u3, max u3 u2} E ((ContinuousLinearMap.{u1, u1, u3, u2} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_5)) (NormedSpace.toModule.{u1, u3} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u2} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5) _inst_6)) -> F) _inst_7 (MeasurableSpace.pi.{max u3 u2, u2} (ContinuousLinearMap.{u1, u1, u3, u2} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_5)) (NormedSpace.toModule.{u1, u3} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u2} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5) _inst_6)) (fun (f : ContinuousLinearMap.{u1, u1, u3, u2} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_5)) (NormedSpace.toModule.{u1, u3} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u2} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5) _inst_6)) => F) (fun (a : ContinuousLinearMap.{u1, u1, u3, u2} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_5)) (NormedSpace.toModule.{u1, u3} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u2} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5) _inst_6)) => _inst_9)) (fun (x : E) (f : ContinuousLinearMap.{u1, u1, u3, u2} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_5)) (NormedSpace.toModule.{u1, u3} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u2} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5) _inst_6)) => FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (ContinuousLinearMap.{u1, u1, u3, u2} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_5)) (NormedSpace.toModule.{u1, u3} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u2} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5) _inst_6)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u2, u3, u2} (ContinuousLinearMap.{u1, u1, u3, u2} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_5)) (NormedSpace.toModule.{u1, u3} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u2} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5) _inst_6)) E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u2, u1, u1, u3, u2} (ContinuousLinearMap.{u1, u1, u3, u2} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_5)) (NormedSpace.toModule.{u1, u3} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u2} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5) _inst_6)) π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_5)) (NormedSpace.toModule.{u1, u3} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u2} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5) _inst_6) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u3, u2} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_5)) (NormedSpace.toModule.{u1, u3} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u2} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5) _inst_6)))) f x)
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.measurable_apply' ContinuousLinearMap.measurable_apply'β'. -/
@[measurability]
theorem measurable_apply' [MeasurableSpace E] [OpensMeasurableSpace E] [MeasurableSpace F]
[BorelSpace F] : Measurable fun (x : E) (f : E βL[π] F) => f x :=
measurable_pi_lambda _ fun f => f.Measurable
#align continuous_linear_map.measurable_apply' ContinuousLinearMap.measurable_apply'
+/- warning: continuous_linear_map.measurable_coe -> ContinuousLinearMap.measurable_coe is a dubious translation:
+lean 3 declaration is
+ forall {π : Type.{u1}} [_inst_2 : NontriviallyNormedField.{u1} π] {E : Type.{u2}} [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] {F : Type.{u3}} [_inst_5 : NormedAddCommGroup.{u3} F] [_inst_6 : NormedSpace.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)] [_inst_7 : MeasurableSpace.{u3} F] [_inst_8 : BorelSpace.{u3} F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) _inst_7], Measurable.{max u2 u3, max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) (E -> F) (ContinuousLinearMap.instMeasurableSpace.{u1, u2, u3} π _inst_2 E _inst_3 _inst_4 F _inst_5 _inst_6) (MeasurableSpace.pi.{u2, u3} E (fun (x : E) => F) (fun (a : E) => _inst_7)) (fun (f : ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) (x : E) => coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} π π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (Ring.toSemiring.{u1} π (NormedRing.toRing.{u1} π (NormedCommRing.toNormedRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) f x)
+but is expected to have type
+ forall {π : Type.{u1}} [_inst_2 : NontriviallyNormedField.{u1} π] {E : Type.{u2}} [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] {F : Type.{u3}} [_inst_5 : NormedAddCommGroup.{u3} F] [_inst_6 : NormedSpace.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)] [_inst_7 : MeasurableSpace.{u3} F] [_inst_8 : BorelSpace.{u3} F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) _inst_7], Measurable.{max u2 u3, max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) (forall (x : E), (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (ContinuousLinearMap.instMeasurableSpace.{u1, u2, u3} π _inst_2 E _inst_3 _inst_4 F _inst_5 _inst_6) (MeasurableSpace.pi.{u2, u3} E (fun (x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (fun (a : E) => _inst_7)) (fun (f : ContinuousLinearMap.{u1, u1, u2, u3} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) (x : E) => FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (ContinuousLinearMap.{u1, u1, u2, u3} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u2 u3, u2, u3} (ContinuousLinearMap.{u1, u1, u2, u3} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u3, u1, u1, u2, u3} (ContinuousLinearMap.{u1, u1, u2, u3} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)) π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u3} π π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (RingHom.id.{u1} π (Semiring.toNonAssocSemiring.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (NormedSpace.toModule.{u1, u3} π F (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6)))) f x)
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.measurable_coe ContinuousLinearMap.measurable_coeβ'. -/
@[measurability]
theorem measurable_coe [MeasurableSpace F] [BorelSpace F] :
Measurable fun (f : E βL[π] F) (x : E) => f x :=
@@ -81,12 +111,24 @@ variable {π : Type _} [NontriviallyNormedField π]
variable {E : Type _} [NormedAddCommGroup E] [NormedSpace π E] [MeasurableSpace E] [BorelSpace E]
{F : Type _} [NormedAddCommGroup F] [NormedSpace π F]
+/- warning: measurable.apply_continuous_linear_map -> Measurable.apply_continuousLinearMap is a dubious translation:
+lean 3 declaration is
+ forall {Ξ± : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} Ξ±] {π : Type.{u2}} [_inst_2 : NontriviallyNormedField.{u2} π] {E : Type.{u3}} [_inst_3 : NormedAddCommGroup.{u3} E] [_inst_4 : NormedSpace.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)] [_inst_5 : MeasurableSpace.{u3} E] [_inst_6 : BorelSpace.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) _inst_5] {F : Type.{u4}} [_inst_7 : NormedAddCommGroup.{u4} F] [_inst_8 : NormedSpace.{u2, u4} π F (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)] {Ο : Ξ± -> (ContinuousLinearMap.{u2, u2, u4, u3} π π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (RingHom.id.{u2} π (Semiring.toNonAssocSemiring.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} π F (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7) _inst_8) (NormedSpace.toModule.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4))}, (Measurable.{u1, max u4 u3} Ξ± (ContinuousLinearMap.{u2, u2, u4, u3} π π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (RingHom.id.{u2} π (Semiring.toNonAssocSemiring.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} π F (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7) _inst_8) (NormedSpace.toModule.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4)) _inst_1 (ContinuousLinearMap.instMeasurableSpace.{u2, u4, u3} π _inst_2 F _inst_7 _inst_8 E _inst_3 _inst_4) Ο) -> (forall (v : F), Measurable.{u1, u3} Ξ± E _inst_1 _inst_5 (fun (a : Ξ±) => coeFn.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (ContinuousLinearMap.{u2, u2, u4, u3} π π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (RingHom.id.{u2} π (Semiring.toNonAssocSemiring.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} π F (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7) _inst_8) (NormedSpace.toModule.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4)) (fun (_x : ContinuousLinearMap.{u2, u2, u4, u3} π π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (RingHom.id.{u2} π (Semiring.toNonAssocSemiring.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} π F (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7) _inst_8) (NormedSpace.toModule.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4)) => F -> E) (ContinuousLinearMap.toFun.{u2, u2, u4, u3} π π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (RingHom.id.{u2} π (Semiring.toNonAssocSemiring.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} π F (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7) _inst_8) (NormedSpace.toModule.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4)) (Ο a) v))
+but is expected to have type
+ forall {Ξ± : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} Ξ±] {π : Type.{u4}} [_inst_2 : NontriviallyNormedField.{u4} π] {E : Type.{u2}} [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u4, u2} π E (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] [_inst_5 : MeasurableSpace.{u2} E] [_inst_6 : BorelSpace.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) _inst_5] {F : Type.{u3}} [_inst_7 : NormedAddCommGroup.{u3} F] [_inst_8 : NormedSpace.{u4, u3} π F (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)] {Ο : Ξ± -> (ContinuousLinearMap.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u4, u3} π F (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8) (NormedSpace.toModule.{u4, u2} π E (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))}, (Measurable.{u1, max u2 u3} Ξ± (ContinuousLinearMap.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u4, u3} π F (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8) (NormedSpace.toModule.{u4, u2} π E (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) _inst_1 (ContinuousLinearMap.instMeasurableSpace.{u4, u3, u2} π _inst_2 F _inst_7 _inst_8 E _inst_3 _inst_4) Ο) -> (forall (v : F), Measurable.{u1, u2} Ξ± ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => E) v) _inst_1 _inst_5 (fun (a : Ξ±) => FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (ContinuousLinearMap.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u4, u3} π F (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8) (NormedSpace.toModule.{u4, u2} π E (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => E) _x) 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(UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u4, u3} π F (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8) (NormedSpace.toModule.{u4, u2} π E (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) F E (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u3, u4, u4, u3, u2} (ContinuousLinearMap.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8) (NormedSpace.toModule.{u4, u2} π E (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u4, u3} π F (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8) (NormedSpace.toModule.{u4, u2} π E (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)))) (Ο a) v))
+Case conversion may be inaccurate. Consider using '#align measurable.apply_continuous_linear_map Measurable.apply_continuousLinearMapβ'. -/
@[measurability]
theorem Measurable.apply_continuousLinearMap {Ο : Ξ± β F βL[π] E} (hΟ : Measurable Ο) (v : F) :
Measurable fun a => Ο a v :=
(ContinuousLinearMap.apply π E v).Measurable.comp hΟ
#align measurable.apply_continuous_linear_map Measurable.apply_continuousLinearMap
+/- warning: ae_measurable.apply_continuous_linear_map -> AEMeasurable.apply_continuousLinearMap is a dubious translation:
+lean 3 declaration is
+ forall {Ξ± : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} Ξ±] {π : Type.{u2}} [_inst_2 : NontriviallyNormedField.{u2} π] {E : Type.{u3}} [_inst_3 : NormedAddCommGroup.{u3} E] [_inst_4 : NormedSpace.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)] [_inst_5 : MeasurableSpace.{u3} E] [_inst_6 : BorelSpace.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) _inst_5] {F : Type.{u4}} [_inst_7 : NormedAddCommGroup.{u4} F] [_inst_8 : NormedSpace.{u2, u4} π F (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)] {Ο : Ξ± -> (ContinuousLinearMap.{u2, u2, u4, u3} π π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (RingHom.id.{u2} π (Semiring.toNonAssocSemiring.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} π F (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7) _inst_8) (NormedSpace.toModule.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4))} {ΞΌ : MeasureTheory.Measure.{u1} Ξ± _inst_1}, (AEMeasurable.{u1, max u4 u3} Ξ± (ContinuousLinearMap.{u2, u2, u4, u3} π π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (RingHom.id.{u2} π (Semiring.toNonAssocSemiring.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} π F (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7) _inst_8) (NormedSpace.toModule.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4)) (ContinuousLinearMap.instMeasurableSpace.{u2, u4, u3} π _inst_2 F _inst_7 _inst_8 E _inst_3 _inst_4) _inst_1 Ο ΞΌ) -> (forall (v : F), AEMeasurable.{u1, u3} Ξ± E _inst_5 _inst_1 (fun (a : Ξ±) => coeFn.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (ContinuousLinearMap.{u2, u2, u4, u3} π π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (RingHom.id.{u2} π (Semiring.toNonAssocSemiring.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} π F (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7) _inst_8) (NormedSpace.toModule.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4)) (fun (_x : ContinuousLinearMap.{u2, u2, u4, u3} π π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (RingHom.id.{u2} π (Semiring.toNonAssocSemiring.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} π F (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7) _inst_8) (NormedSpace.toModule.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4)) => F -> E) (ContinuousLinearMap.toFun.{u2, u2, u4, u3} π π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (RingHom.id.{u2} π (Semiring.toNonAssocSemiring.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} π F (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_7) _inst_8) (NormedSpace.toModule.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_4)) (Ο a) v) ΞΌ)
+but is expected to have type
+ forall {Ξ± : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} Ξ±] {π : Type.{u4}} [_inst_2 : NontriviallyNormedField.{u4} π] {E : Type.{u2}} [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u4, u2} π E (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] [_inst_5 : MeasurableSpace.{u2} E] [_inst_6 : BorelSpace.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) _inst_5] {F : Type.{u3}} [_inst_7 : NormedAddCommGroup.{u3} F] [_inst_8 : NormedSpace.{u4, u3} π F (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)] {Ο : Ξ± -> (ContinuousLinearMap.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u4, u3} π F (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8) (NormedSpace.toModule.{u4, u2} π E (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))} {ΞΌ : MeasureTheory.Measure.{u1} Ξ± _inst_1}, (AEMeasurable.{u1, max u2 u3} Ξ± (ContinuousLinearMap.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u4, u3} π F (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8) (NormedSpace.toModule.{u4, u2} π E (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (ContinuousLinearMap.instMeasurableSpace.{u4, u3, u2} π _inst_2 F _inst_7 _inst_8 E _inst_3 _inst_4) _inst_1 Ο ΞΌ) -> (forall (v : F), AEMeasurable.{u1, u2} Ξ± ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => E) v) _inst_5 _inst_1 (fun (a : Ξ±) => FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (ContinuousLinearMap.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u4, u3} π F (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8) (NormedSpace.toModule.{u4, u2} π E (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => E) _x) (ContinuousMapClass.toFunLike.{max u2 u3, u3, u2} (ContinuousLinearMap.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u4, u3} π F (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8) (NormedSpace.toModule.{u4, u2} π E (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) F E (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u3, u4, u4, u3, u2} (ContinuousLinearMap.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u4, u3} π F (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8) (NormedSpace.toModule.{u4, u2} π E (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u4, u3} π F (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8) (NormedSpace.toModule.{u4, u2} π E (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u4, u3, u2} π π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))) (RingHom.id.{u4} π (Semiring.toNonAssocSemiring.{u4} π (DivisionSemiring.toSemiring.{u4} π (Semifield.toDivisionSemiring.{u4} π (Field.toSemifield.{u4} π (NormedField.toField.{u4} π (NontriviallyNormedField.toNormedField.{u4} π _inst_2))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_7)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u4, u3} π F (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_7) _inst_8) (NormedSpace.toModule.{u4, u2} π E (NontriviallyNormedField.toNormedField.{u4} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)))) (Ο a) v) ΞΌ)
+Case conversion may be inaccurate. Consider using '#align ae_measurable.apply_continuous_linear_map AEMeasurable.apply_continuousLinearMapβ'. -/
@[measurability]
theorem AEMeasurable.apply_continuousLinearMap {Ο : Ξ± β F βL[π] E} {ΞΌ : Measure Ξ±}
(hΟ : AEMeasurable Ο ΞΌ) (v : F) : AEMeasurable (fun a => Ο a v) ΞΌ :=
@@ -102,15 +144,27 @@ variable {π : Type _} [NontriviallyNormedField π] [CompleteSpace π] [Me
variable [BorelSpace π] {E : Type _} [NormedAddCommGroup E] [NormedSpace π E] [MeasurableSpace E]
[BorelSpace E]
+/- warning: measurable_smul_const -> measurable_smul_const is a dubious translation:
+lean 3 declaration is
+ forall {Ξ± : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} Ξ±] {π : Type.{u2}} [_inst_2 : NontriviallyNormedField.{u2} π] [_inst_3 : CompleteSpace.{u2} π (PseudoMetricSpace.toUniformSpace.{u2} π (SeminormedRing.toPseudoMetricSpace.{u2} π (SeminormedCommRing.toSemiNormedRing.{u2} π (NormedCommRing.toSeminormedCommRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))] [_inst_4 : MeasurableSpace.{u2} π] [_inst_5 : BorelSpace.{u2} π (UniformSpace.toTopologicalSpace.{u2} π (PseudoMetricSpace.toUniformSpace.{u2} π (SeminormedRing.toPseudoMetricSpace.{u2} π (SeminormedCommRing.toSemiNormedRing.{u2} π (NormedCommRing.toSeminormedCommRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))) _inst_4] {E : Type.{u3}} [_inst_6 : NormedAddCommGroup.{u3} E] [_inst_7 : NormedSpace.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6)] [_inst_8 : MeasurableSpace.{u3} E] [_inst_9 : BorelSpace.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6)))) _inst_8] {f : Ξ± -> π} {c : E}, (Ne.{succ u3} E c (OfNat.ofNat.{u3} E 0 (OfNat.mk.{u3} E 0 (Zero.zero.{u3} E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (NormedAddGroup.toAddGroup.{u3} E (NormedAddCommGroup.toNormedAddGroup.{u3} E _inst_6)))))))))) -> (Iff (Measurable.{u1, u3} Ξ± E _inst_1 _inst_8 (fun (x : Ξ±) => SMul.smul.{u2, u3} π E (SMulZeroClass.toHasSmul.{u2, u3} π E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} π E (MulZeroClass.toHasZero.{u2} π (MulZeroOneClass.toMulZeroClass.{u2} π (MonoidWithZero.toMulZeroOneClass.{u2} π (Semiring.toMonoidWithZero.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} π E (Semiring.toMonoidWithZero.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6)))))) (Module.toMulActionWithZero.{u2, u3} π E (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6))) (NormedSpace.toModule.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6) _inst_7))))) (f x) c)) (Measurable.{u1, u2} Ξ± π _inst_1 _inst_4 f))
+but is expected to have type
+ forall {Ξ± : Type.{u2}} [_inst_1 : MeasurableSpace.{u2} Ξ±] {π : Type.{u1}} [_inst_2 : NontriviallyNormedField.{u1} π] [_inst_3 : CompleteSpace.{u1} π (PseudoMetricSpace.toUniformSpace.{u1} π (SeminormedRing.toPseudoMetricSpace.{u1} π (SeminormedCommRing.toSeminormedRing.{u1} π (NormedCommRing.toSeminormedCommRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))] [_inst_4 : MeasurableSpace.{u1} π] [_inst_5 : BorelSpace.{u1} π (UniformSpace.toTopologicalSpace.{u1} π (PseudoMetricSpace.toUniformSpace.{u1} π (SeminormedRing.toPseudoMetricSpace.{u1} π (SeminormedCommRing.toSeminormedRing.{u1} π (NormedCommRing.toSeminormedCommRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) _inst_4] {E : Type.{u3}} [_inst_6 : NormedAddCommGroup.{u3} E] [_inst_7 : NormedSpace.{u1, u3} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6)] [_inst_8 : MeasurableSpace.{u3} E] [_inst_9 : BorelSpace.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6)))) _inst_8] {f : Ξ± -> π} {c : E}, (Ne.{succ u3} E c (OfNat.ofNat.{u3} E 0 (Zero.toOfNat0.{u3} E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_6))))))))) -> (Iff (Measurable.{u2, u3} Ξ± E _inst_1 _inst_8 (fun (x : Ξ±) => HSMul.hSMul.{u1, u3, u3} π E E (instHSMul.{u1, u3} π E (SMulZeroClass.toSMul.{u1, u3} π E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_6)))))) (SMulWithZero.toSMulZeroClass.{u1, u3} π E (CommMonoidWithZero.toZero.{u1} π (CommGroupWithZero.toCommMonoidWithZero.{u1} π (Semifield.toCommGroupWithZero.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_6)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} π E (Semiring.toMonoidWithZero.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_6)))))) (Module.toMulActionWithZero.{u1, u3} π E (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_6)) (NormedSpace.toModule.{u1, u3} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6) _inst_7)))))) (f x) c)) (Measurable.{u2, u1} Ξ± π _inst_1 _inst_4 f))
+Case conversion may be inaccurate. Consider using '#align measurable_smul_const measurable_smul_constβ'. -/
theorem measurable_smul_const {f : Ξ± β π} {c : E} (hc : c β 0) :
(Measurable fun x => f x β’ c) β Measurable f :=
(closedEmbedding_smul_left hc).MeasurableEmbedding.measurable_comp_iff
#align measurable_smul_const measurable_smul_const
-theorem aEMeasurable_smul_const {f : Ξ± β π} {ΞΌ : Measure Ξ±} {c : E} (hc : c β 0) :
+/- warning: ae_measurable_smul_const -> aemeasurable_smul_const is a dubious translation:
+lean 3 declaration is
+ forall {Ξ± : Type.{u1}} [_inst_1 : MeasurableSpace.{u1} Ξ±] {π : Type.{u2}} [_inst_2 : NontriviallyNormedField.{u2} π] [_inst_3 : CompleteSpace.{u2} π (PseudoMetricSpace.toUniformSpace.{u2} π (SeminormedRing.toPseudoMetricSpace.{u2} π (SeminormedCommRing.toSemiNormedRing.{u2} π (NormedCommRing.toSeminormedCommRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))] [_inst_4 : MeasurableSpace.{u2} π] [_inst_5 : BorelSpace.{u2} π (UniformSpace.toTopologicalSpace.{u2} π (PseudoMetricSpace.toUniformSpace.{u2} π (SeminormedRing.toPseudoMetricSpace.{u2} π (SeminormedCommRing.toSemiNormedRing.{u2} π (NormedCommRing.toSeminormedCommRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))) _inst_4] {E : Type.{u3}} [_inst_6 : NormedAddCommGroup.{u3} E] [_inst_7 : NormedSpace.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6)] [_inst_8 : MeasurableSpace.{u3} E] [_inst_9 : BorelSpace.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6)))) _inst_8] {f : Ξ± -> π} {ΞΌ : MeasureTheory.Measure.{u1} Ξ± _inst_1} {c : E}, (Ne.{succ u3} E c (OfNat.ofNat.{u3} E 0 (OfNat.mk.{u3} E 0 (Zero.zero.{u3} E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (NormedAddGroup.toAddGroup.{u3} E (NormedAddCommGroup.toNormedAddGroup.{u3} E _inst_6)))))))))) -> (Iff (AEMeasurable.{u1, u3} Ξ± E _inst_8 _inst_1 (fun (x : Ξ±) => SMul.smul.{u2, u3} π E (SMulZeroClass.toHasSmul.{u2, u3} π E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} π E (MulZeroClass.toHasZero.{u2} π (MulZeroOneClass.toMulZeroClass.{u2} π (MonoidWithZero.toMulZeroOneClass.{u2} π (Semiring.toMonoidWithZero.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} π E (Semiring.toMonoidWithZero.{u2} π (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6)))))) (Module.toMulActionWithZero.{u2, u3} π E (Ring.toSemiring.{u2} π (NormedRing.toRing.{u2} π (NormedCommRing.toNormedRing.{u2} π (NormedField.toNormedCommRing.{u2} π (NontriviallyNormedField.toNormedField.{u2} π _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6))) (NormedSpace.toModule.{u2, u3} π E (NontriviallyNormedField.toNormedField.{u2} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_6) _inst_7))))) (f x) c) ΞΌ) (AEMeasurable.{u1, u2} Ξ± π _inst_4 _inst_1 f ΞΌ))
+but is expected to have type
+ forall {Ξ± : Type.{u3}} [_inst_1 : MeasurableSpace.{u3} Ξ±] {π : Type.{u1}} [_inst_2 : NontriviallyNormedField.{u1} π] [_inst_3 : CompleteSpace.{u1} π (PseudoMetricSpace.toUniformSpace.{u1} π (SeminormedRing.toPseudoMetricSpace.{u1} π (SeminormedCommRing.toSeminormedRing.{u1} π (NormedCommRing.toSeminormedCommRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))] [_inst_4 : MeasurableSpace.{u1} π] [_inst_5 : BorelSpace.{u1} π (UniformSpace.toTopologicalSpace.{u1} π (PseudoMetricSpace.toUniformSpace.{u1} π (SeminormedRing.toPseudoMetricSpace.{u1} π (SeminormedCommRing.toSeminormedRing.{u1} π (NormedCommRing.toSeminormedCommRing.{u1} π (NormedField.toNormedCommRing.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))))) _inst_4] {E : Type.{u2}} [_inst_6 : NormedAddCommGroup.{u2} E] [_inst_7 : NormedSpace.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_6)] [_inst_8 : MeasurableSpace.{u2} E] [_inst_9 : BorelSpace.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_6)))) _inst_8] {f : Ξ± -> π} {ΞΌ : MeasureTheory.Measure.{u3} Ξ± _inst_1} {c : E}, (Ne.{succ u2} E c (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_6))))))))) -> (Iff (AEMeasurable.{u3, u2} Ξ± E _inst_8 _inst_1 (fun (x : Ξ±) => HSMul.hSMul.{u1, u2, u2} π E E (instHSMul.{u1, u2} π E (SMulZeroClass.toSMul.{u1, u2} π E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_6)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} π E (CommMonoidWithZero.toZero.{u1} π (CommGroupWithZero.toCommMonoidWithZero.{u1} π (Semifield.toCommGroupWithZero.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_6)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} π E (Semiring.toMonoidWithZero.{u1} π (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_6)))))) (Module.toMulActionWithZero.{u1, u2} π E (DivisionSemiring.toSemiring.{u1} π (Semifield.toDivisionSemiring.{u1} π (Field.toSemifield.{u1} π (NormedField.toField.{u1} π (NontriviallyNormedField.toNormedField.{u1} π _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_6)) (NormedSpace.toModule.{u1, u2} π E (NontriviallyNormedField.toNormedField.{u1} π _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_6) _inst_7)))))) (f x) c) ΞΌ) (AEMeasurable.{u3, u1} Ξ± π _inst_4 _inst_1 f ΞΌ))
+Case conversion may be inaccurate. Consider using '#align ae_measurable_smul_const aemeasurable_smul_constβ'. -/
+theorem aemeasurable_smul_const {f : Ξ± β π} {ΞΌ : Measure Ξ±} {c : E} (hc : c β 0) :
AEMeasurable (fun x => f x β’ c) ΞΌ β AEMeasurable f ΞΌ :=
(closedEmbedding_smul_left hc).MeasurableEmbedding.aemeasurable_comp_iff
-#align ae_measurable_smul_const aEMeasurable_smul_const
+#align ae_measurable_smul_const aemeasurable_smul_const
end NormedSpace
mathlib commit https://github.com/leanprover-community/mathlib/commit/0b9eaaa7686280fad8cce467f5c3c57ee6ce77f8
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)
@@ -22,7 +22,6 @@ variable {Ξ± : Type*} [MeasurableSpace Ξ±]
namespace ContinuousLinearMap
variable {π : Type*} [NormedField π]
-
variable {E : Type*} [NormedAddCommGroup E] [NormedSpace π E] [MeasurableSpace E]
[OpensMeasurableSpace E] {F : Type*} [NormedAddCommGroup F] [NormedSpace π F] [MeasurableSpace F]
[BorelSpace F]
@@ -42,7 +41,6 @@ end ContinuousLinearMap
namespace ContinuousLinearMap
variable {π : Type*} [NontriviallyNormedField π]
-
variable {E : Type*} [NormedAddCommGroup E] [NormedSpace π E] {F : Type*} [NormedAddCommGroup F]
[NormedSpace π F]
@@ -77,7 +75,6 @@ end ContinuousLinearMap
section ContinuousLinearMapNontriviallyNormedField
variable {π : Type*} [NontriviallyNormedField π]
-
variable {E : Type*} [NormedAddCommGroup E] [NormedSpace π E] [MeasurableSpace E] [BorelSpace E]
{F : Type*} [NormedAddCommGroup F] [NormedSpace π F]
@@ -98,7 +95,6 @@ end ContinuousLinearMapNontriviallyNormedField
section NormedSpace
variable {π : Type*} [NontriviallyNormedField π] [CompleteSpace π] [MeasurableSpace π]
-
variable [BorelSpace π] {E : Type*} [NormedAddCommGroup E] [NormedSpace π E] [MeasurableSpace E]
[BorelSpace E]
Split the 2300-line behemoth OperatorNorm.lean
into 8 smaller files, of which the largest is 600 lines.
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot
-/
import Mathlib.MeasureTheory.Constructions.BorelSpace.Basic
-import Mathlib.Analysis.NormedSpace.OperatorNorm
+import Mathlib.Analysis.NormedSpace.OperatorNorm.NormedSpace
import Mathlib.Topology.Algebra.Module.FiniteDimension
#align_import measure_theory.constructions.borel_space.continuous_linear_map from "leanprover-community/mathlib"@"bf6a01357ff5684b1ebcd0f1a13be314fc82c0bf"
@@ -3,8 +3,9 @@ Copyright (c) 2020 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot
-/
-import Mathlib.Analysis.NormedSpace.FiniteDimension
import Mathlib.MeasureTheory.Constructions.BorelSpace.Basic
+import Mathlib.Analysis.NormedSpace.OperatorNorm
+import Mathlib.Topology.Algebra.Module.FiniteDimension
#align_import measure_theory.constructions.borel_space.continuous_linear_map from "leanprover-community/mathlib"@"bf6a01357ff5684b1ebcd0f1a13be314fc82c0bf"
Type _
and Sort _
(#6499)
We remove all possible occurences of Type _
and Sort _
in favor of Type*
and Sort*
.
This has nice performance benefits.
@@ -16,14 +16,14 @@ import Mathlib.MeasureTheory.Constructions.BorelSpace.Basic
open MeasureTheory
-variable {Ξ± : Type _} [MeasurableSpace Ξ±]
+variable {Ξ± : Type*} [MeasurableSpace Ξ±]
namespace ContinuousLinearMap
-variable {π : Type _} [NormedField π]
+variable {π : Type*} [NormedField π]
-variable {E : Type _} [NormedAddCommGroup E] [NormedSpace π E] [MeasurableSpace E]
- [OpensMeasurableSpace E] {F : Type _} [NormedAddCommGroup F] [NormedSpace π F] [MeasurableSpace F]
+variable {E : Type*} [NormedAddCommGroup E] [NormedSpace π E] [MeasurableSpace E]
+ [OpensMeasurableSpace E] {F : Type*} [NormedAddCommGroup F] [NormedSpace π F] [MeasurableSpace F]
[BorelSpace F]
@[measurability]
@@ -40,9 +40,9 @@ end ContinuousLinearMap
namespace ContinuousLinearMap
-variable {π : Type _} [NontriviallyNormedField π]
+variable {π : Type*} [NontriviallyNormedField π]
-variable {E : Type _} [NormedAddCommGroup E] [NormedSpace π E] {F : Type _} [NormedAddCommGroup F]
+variable {E : Type*} [NormedAddCommGroup E] [NormedSpace π E] {F : Type*} [NormedAddCommGroup F]
[NormedSpace π F]
instance instMeasurableSpace : MeasurableSpace (E βL[π] F) :=
@@ -75,10 +75,10 @@ end ContinuousLinearMap
section ContinuousLinearMapNontriviallyNormedField
-variable {π : Type _} [NontriviallyNormedField π]
+variable {π : Type*} [NontriviallyNormedField π]
-variable {E : Type _} [NormedAddCommGroup E] [NormedSpace π E] [MeasurableSpace E] [BorelSpace E]
- {F : Type _} [NormedAddCommGroup F] [NormedSpace π F]
+variable {E : Type*} [NormedAddCommGroup E] [NormedSpace π E] [MeasurableSpace E] [BorelSpace E]
+ {F : Type*} [NormedAddCommGroup F] [NormedSpace π F]
@[measurability]
theorem Measurable.apply_continuousLinearMap {Ο : Ξ± β F βL[π] E} (hΟ : Measurable Ο) (v : F) :
@@ -96,9 +96,9 @@ end ContinuousLinearMapNontriviallyNormedField
section NormedSpace
-variable {π : Type _} [NontriviallyNormedField π] [CompleteSpace π] [MeasurableSpace π]
+variable {π : Type*} [NontriviallyNormedField π] [CompleteSpace π] [MeasurableSpace π]
-variable [BorelSpace π] {E : Type _} [NormedAddCommGroup E] [NormedSpace π E] [MeasurableSpace E]
+variable [BorelSpace π] {E : Type*} [NormedAddCommGroup E] [NormedSpace π E] [MeasurableSpace E]
[BorelSpace E]
theorem measurable_smul_const {f : Ξ± β π} {c : E} (hc : c β 0) :
@@ -2,15 +2,12 @@
Copyright (c) 2020 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot
-
-! This file was ported from Lean 3 source module measure_theory.constructions.borel_space.continuous_linear_map
-! leanprover-community/mathlib commit bf6a01357ff5684b1ebcd0f1a13be314fc82c0bf
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.Analysis.NormedSpace.FiniteDimension
import Mathlib.MeasureTheory.Constructions.BorelSpace.Basic
+#align_import measure_theory.constructions.borel_space.continuous_linear_map from "leanprover-community/mathlib"@"bf6a01357ff5684b1ebcd0f1a13be314fc82c0bf"
+
/-!
# Measurable functions in normed spaces
The unported dependencies are
algebra.order.module
init.core
linear_algebra.free_module.finite.rank
algebra.order.monoid.cancel.defs
algebra.abs
algebra.group_power.lemmas
init.data.list.basic
linear_algebra.free_module.rank
algebra.order.monoid.cancel.basic
init.data.list.default
topology.subset_properties
init.logic
The following 1 dependencies have changed in mathlib3 since they were ported, which may complicate porting this file