topology.algebra.infinite_sum.module ⟷ Mathlib.Topology.Algebra.InfiniteSum.Module

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

@@ -3,7 +3,7 @@ Copyright (c) 2020 Heather Macbeth. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Heather Macbeth, Yury Kudryashov, Frédéric Dupuis
 -/
-import Topology.Algebra.InfiniteSum.Basic
+import Topology.Algebra.InfiniteSum.Defs
 import Topology.Algebra.Module.Basic
 
 #align_import topology.algebra.infinite_sum.module from "leanprover-community/mathlib"@"75be6b616681ab6ca66d798ead117e75cd64f125"

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

@@ -3,8 +3,8 @@ Copyright (c) 2020 Heather Macbeth. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Heather Macbeth, Yury Kudryashov, Frédéric Dupuis
 -/
-import Mathbin.Topology.Algebra.InfiniteSum.Basic
-import Mathbin.Topology.Algebra.Module.Basic
+import Topology.Algebra.InfiniteSum.Basic
+import Topology.Algebra.Module.Basic
 
 #align_import topology.algebra.infinite_sum.module from "leanprover-community/mathlib"@"75be6b616681ab6ca66d798ead117e75cd64f125"
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/32a7e535287f9c73f2e4d2aef306a39190f0b504

@@ -57,7 +57,7 @@ protected theorem ContinuousLinearMap.hasSum {f : ι → M} (φ : M →SL[σ] M
 #align continuous_linear_map.has_sum ContinuousLinearMap.hasSum
 -/
 
-alias ContinuousLinearMap.hasSum ← HasSum.mapL
+alias HasSum.mapL := ContinuousLinearMap.hasSum
 #align has_sum.mapL HasSum.mapL
 
 #print ContinuousLinearMap.summable /-
@@ -67,7 +67,7 @@ protected theorem ContinuousLinearMap.summable {f : ι → M} (φ : M →SL[σ]
 #align continuous_linear_map.summable ContinuousLinearMap.summable
 -/
 
-alias ContinuousLinearMap.summable ← Summable.mapL
+alias Summable.mapL := ContinuousLinearMap.summable
 #align summable.mapL Summable.mapL
 
 #print ContinuousLinearMap.map_tsum /-

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

@@ -2,15 +2,12 @@
 Copyright (c) 2020 Heather Macbeth. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Heather Macbeth, Yury Kudryashov, Frédéric Dupuis
-
-! This file was ported from Lean 3 source module topology.algebra.infinite_sum.module
-! leanprover-community/mathlib commit 75be6b616681ab6ca66d798ead117e75cd64f125
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Topology.Algebra.InfiniteSum.Basic
 import Mathbin.Topology.Algebra.Module.Basic
 
+#align_import topology.algebra.infinite_sum.module from "leanprover-community/mathlib"@"75be6b616681ab6ca66d798ead117e75cd64f125"
+
 /-! # Infinite sums in topological vector spaces 
 
 > THIS FILE IS SYNCHRONIZED WITH MATHLIB4.

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

@@ -24,13 +24,17 @@ section SmulConst
 variable [Semiring R] [TopologicalSpace R] [TopologicalSpace M] [AddCommMonoid M] [Module R M]
   [ContinuousSMul R M] {f : ι → R}
 
+#print HasSum.smul_const /-
 theorem HasSum.smul_const {r : R} (hf : HasSum f r) (a : M) : HasSum (fun z => f z • a) (r • a) :=
   hf.map ((smulAddHom R M).flip a) (continuous_id.smul continuous_const)
 #align has_sum.smul_const HasSum.smul_const
+-/
 
+#print Summable.smul_const /-
 theorem Summable.smul_const (hf : Summable f) (a : M) : Summable fun z => f z • a :=
   (hf.HasSum.smul_const _).Summable
 #align summable.smul_const Summable.smul_const
+-/
 
 #print tsum_smul_const /-
 theorem tsum_smul_const [T2Space M] (hf : Summable f) (a : M) : ∑' z, f z • a = (∑' z, f z) • a :=
@@ -48,48 +52,59 @@ variable [Semiring R] [Semiring R₂] [AddCommMonoid M] [Module R M] [AddCommMon
   [TopologicalSpace M] [TopologicalSpace M₂] {σ : R →+* R₂} {σ' : R₂ →+* R} [RingHomInvPair σ σ']
   [RingHomInvPair σ' σ]
 
+#print ContinuousLinearMap.hasSum /-
 /-- Applying a continuous linear map commutes with taking an (infinite) sum. -/
 protected theorem ContinuousLinearMap.hasSum {f : ι → M} (φ : M →SL[σ] M₂) {x : M}
     (hf : HasSum f x) : HasSum (fun b : ι => φ (f b)) (φ x) := by
   simpa only using hf.map φ.to_linear_map.to_add_monoid_hom φ.continuous
 #align continuous_linear_map.has_sum ContinuousLinearMap.hasSum
+-/
 
 alias ContinuousLinearMap.hasSum ← HasSum.mapL
 #align has_sum.mapL HasSum.mapL
 
+#print ContinuousLinearMap.summable /-
 protected theorem ContinuousLinearMap.summable {f : ι → M} (φ : M →SL[σ] M₂) (hf : Summable f) :
     Summable fun b : ι => φ (f b) :=
   (hf.HasSum.mapL φ).Summable
 #align continuous_linear_map.summable ContinuousLinearMap.summable
+-/
 
 alias ContinuousLinearMap.summable ← Summable.mapL
 #align summable.mapL Summable.mapL
 
+#print ContinuousLinearMap.map_tsum /-
 protected theorem ContinuousLinearMap.map_tsum [T2Space M₂] {f : ι → M} (φ : M →SL[σ] M₂)
     (hf : Summable f) : φ (∑' z, f z) = ∑' z, φ (f z) :=
   (hf.HasSum.mapL φ).tsum_eq.symm
 #align continuous_linear_map.map_tsum ContinuousLinearMap.map_tsum
+-/
 
-include σ'
-
+#print ContinuousLinearEquiv.hasSum /-
 /-- Applying a continuous linear map commutes with taking an (infinite) sum. -/
 protected theorem ContinuousLinearEquiv.hasSum {f : ι → M} (e : M ≃SL[σ] M₂) {y : M₂} :
     HasSum (fun b : ι => e (f b)) y ↔ HasSum f (e.symm y) :=
   ⟨fun h => by simpa only [e.symm.coe_coe, e.symm_apply_apply] using h.mapL (e.symm : M₂ →SL[σ'] M),
     fun h => by simpa only [e.coe_coe, e.apply_symm_apply] using (e : M →SL[σ] M₂).HasSum h⟩
 #align continuous_linear_equiv.has_sum ContinuousLinearEquiv.hasSum
+-/
 
+#print ContinuousLinearEquiv.hasSum' /-
 /-- Applying a continuous linear map commutes with taking an (infinite) sum. -/
 protected theorem ContinuousLinearEquiv.hasSum' {f : ι → M} (e : M ≃SL[σ] M₂) {x : M} :
     HasSum (fun b : ι => e (f b)) (e x) ↔ HasSum f x := by
   rw [e.has_sum, ContinuousLinearEquiv.symm_apply_apply]
 #align continuous_linear_equiv.has_sum' ContinuousLinearEquiv.hasSum'
+-/
 
+#print ContinuousLinearEquiv.summable /-
 protected theorem ContinuousLinearEquiv.summable {f : ι → M} (e : M ≃SL[σ] M₂) :
     (Summable fun b : ι => e (f b)) ↔ Summable f :=
   ⟨fun hf => (e.HasSum.1 hf.HasSum).Summable, (e : M →SL[σ] M₂).Summable⟩
 #align continuous_linear_equiv.summable ContinuousLinearEquiv.summable
+-/
 
+#print ContinuousLinearEquiv.tsum_eq_iff /-
 theorem ContinuousLinearEquiv.tsum_eq_iff [T2Space M] [T2Space M₂] {f : ι → M} (e : M ≃SL[σ] M₂)
     {y : M₂} : ∑' z, e (f z) = y ↔ ∑' z, f z = e.symm y :=
   by
@@ -102,11 +117,14 @@ theorem ContinuousLinearEquiv.tsum_eq_iff [T2Space M] [T2Space M₂] {f : ι →
     rw [tsum_eq_zero_of_not_summable hf, tsum_eq_zero_of_not_summable hf']
     exact ⟨by rintro rfl; simp, fun H => by simpa using congr_arg (fun z => e z) H⟩
 #align continuous_linear_equiv.tsum_eq_iff ContinuousLinearEquiv.tsum_eq_iff
+-/
 
+#print ContinuousLinearEquiv.map_tsum /-
 protected theorem ContinuousLinearEquiv.map_tsum [T2Space M] [T2Space M₂] {f : ι → M}
     (e : M ≃SL[σ] M₂) : e (∑' z, f z) = ∑' z, e (f z) := by refine' symm (e.tsum_eq_iff.mpr _);
   rw [e.symm_apply_apply _]
 #align continuous_linear_equiv.map_tsum ContinuousLinearEquiv.map_tsum
+-/
 
 end HasSum
 

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

@@ -33,7 +33,7 @@ theorem Summable.smul_const (hf : Summable f) (a : M) : Summable fun z => f z 
 #align summable.smul_const Summable.smul_const
 
 #print tsum_smul_const /-
-theorem tsum_smul_const [T2Space M] (hf : Summable f) (a : M) : (∑' z, f z • a) = (∑' z, f z) • a :=
+theorem tsum_smul_const [T2Space M] (hf : Summable f) (a : M) : ∑' z, f z • a = (∑' z, f z) • a :=
   (hf.HasSum.smul_const _).tsum_eq
 #align tsum_smul_const tsum_smul_const
 -/
@@ -91,7 +91,7 @@ protected theorem ContinuousLinearEquiv.summable {f : ι → M} (e : M ≃SL[σ]
 #align continuous_linear_equiv.summable ContinuousLinearEquiv.summable
 
 theorem ContinuousLinearEquiv.tsum_eq_iff [T2Space M] [T2Space M₂] {f : ι → M} (e : M ≃SL[σ] M₂)
-    {y : M₂} : (∑' z, e (f z)) = y ↔ (∑' z, f z) = e.symm y :=
+    {y : M₂} : ∑' z, e (f z) = y ↔ ∑' z, f z = e.symm y :=
   by
   by_cases hf : Summable f
   ·

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

@@ -24,22 +24,10 @@ section SmulConst
 variable [Semiring R] [TopologicalSpace R] [TopologicalSpace M] [AddCommMonoid M] [Module R M]
   [ContinuousSMul R M] {f : ι → R}
 
-/- warning: has_sum.smul_const -> HasSum.smul_const is a dubious translation:
-lean 3 declaration is
-  forall {ι : Type.{u1}} {R : Type.{u2}} {M : Type.{u3}} [_inst_1 : Semiring.{u2} R] [_inst_2 : TopologicalSpace.{u2} R] [_inst_3 : TopologicalSpace.{u3} M] [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u2, u3} R M _inst_1 _inst_4] [_inst_6 : ContinuousSMul.{u2, u3} R M (SMulZeroClass.toHasSmul.{u2, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} R M (MulZeroClass.toHasZero.{u2} R (MulZeroOneClass.toMulZeroClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R _inst_1) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} R M _inst_1 _inst_4 _inst_5)))) _inst_2 _inst_3] {f : ι -> R} {r : R}, (HasSum.{u2, u1} R ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) _inst_2 f r) -> (forall (a : M), HasSum.{u3, u1} M ι _inst_4 _inst_3 (fun (z : ι) => SMul.smul.{u2, u3} R M (SMulZeroClass.toHasSmul.{u2, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} R M (MulZeroClass.toHasZero.{u2} R (MulZeroOneClass.toMulZeroClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R _inst_1) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} R M _inst_1 _inst_4 _inst_5)))) (f z) a) (SMul.smul.{u2, u3} R M (SMulZeroClass.toHasSmul.{u2, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} R M (MulZeroClass.toHasZero.{u2} R (MulZeroOneClass.toMulZeroClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R _inst_1) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} R M _inst_1 _inst_4 _inst_5)))) r a))
-but is expected to have type
-  forall {ι : Type.{u2}} {R : Type.{u3}} {M : Type.{u1}} [_inst_1 : Semiring.{u3} R] [_inst_2 : TopologicalSpace.{u3} R] [_inst_3 : TopologicalSpace.{u1} M] [_inst_4 : AddCommMonoid.{u1} M] [_inst_5 : Module.{u3, u1} R M _inst_1 _inst_4] [_inst_6 : ContinuousSMul.{u3, u1} R M (SMulZeroClass.toSMul.{u3, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u3, u1} R M (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u3, u1} R M (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_4)) (Module.toMulActionWithZero.{u3, u1} R M _inst_1 _inst_4 _inst_5)))) _inst_2 _inst_3] {f : ι -> R} {r : R}, (HasSum.{u3, u2} R ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) _inst_2 f r) -> (forall (a : M), HasSum.{u1, u2} M ι _inst_4 _inst_3 (fun (z : ι) => HSMul.hSMul.{u3, u1, u1} R M M (instHSMul.{u3, u1} R M (SMulZeroClass.toSMul.{u3, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u3, u1} R M (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u3, u1} R M (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_4)) (Module.toMulActionWithZero.{u3, u1} R M _inst_1 _inst_4 _inst_5))))) (f z) a) (HSMul.hSMul.{u3, u1, u1} R M M (instHSMul.{u3, u1} R M (SMulZeroClass.toSMul.{u3, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u3, u1} R M (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u3, u1} R M (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_4)) (Module.toMulActionWithZero.{u3, u1} R M _inst_1 _inst_4 _inst_5))))) r a))
-Case conversion may be inaccurate. Consider using '#align has_sum.smul_const HasSum.smul_constₓ'. -/
 theorem HasSum.smul_const {r : R} (hf : HasSum f r) (a : M) : HasSum (fun z => f z • a) (r • a) :=
   hf.map ((smulAddHom R M).flip a) (continuous_id.smul continuous_const)
 #align has_sum.smul_const HasSum.smul_const
 
-/- warning: summable.smul_const -> Summable.smul_const is a dubious translation:
-lean 3 declaration is
-  forall {ι : Type.{u1}} {R : Type.{u2}} {M : Type.{u3}} [_inst_1 : Semiring.{u2} R] [_inst_2 : TopologicalSpace.{u2} R] [_inst_3 : TopologicalSpace.{u3} M] [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u2, u3} R M _inst_1 _inst_4] [_inst_6 : ContinuousSMul.{u2, u3} R M (SMulZeroClass.toHasSmul.{u2, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} R M (MulZeroClass.toHasZero.{u2} R (MulZeroOneClass.toMulZeroClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R _inst_1) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} R M _inst_1 _inst_4 _inst_5)))) _inst_2 _inst_3] {f : ι -> R}, (Summable.{u2, u1} R ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) _inst_2 f) -> (forall (a : M), Summable.{u3, u1} M ι _inst_4 _inst_3 (fun (z : ι) => SMul.smul.{u2, u3} R M (SMulZeroClass.toHasSmul.{u2, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} R M (MulZeroClass.toHasZero.{u2} R (MulZeroOneClass.toMulZeroClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R _inst_1) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} R M _inst_1 _inst_4 _inst_5)))) (f z) a))
-but is expected to have type
-  forall {ι : Type.{u2}} {R : Type.{u3}} {M : Type.{u1}} [_inst_1 : Semiring.{u3} R] [_inst_2 : TopologicalSpace.{u3} R] [_inst_3 : TopologicalSpace.{u1} M] [_inst_4 : AddCommMonoid.{u1} M] [_inst_5 : Module.{u3, u1} R M _inst_1 _inst_4] [_inst_6 : ContinuousSMul.{u3, u1} R M (SMulZeroClass.toSMul.{u3, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u3, u1} R M (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u3, u1} R M (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_4)) (Module.toMulActionWithZero.{u3, u1} R M _inst_1 _inst_4 _inst_5)))) _inst_2 _inst_3] {f : ι -> R}, (Summable.{u3, u2} R ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) _inst_2 f) -> (forall (a : M), Summable.{u1, u2} M ι _inst_4 _inst_3 (fun (z : ι) => HSMul.hSMul.{u3, u1, u1} R M M (instHSMul.{u3, u1} R M (SMulZeroClass.toSMul.{u3, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u3, u1} R M (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u3, u1} R M (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_4)) (Module.toMulActionWithZero.{u3, u1} R M _inst_1 _inst_4 _inst_5))))) (f z) a))
-Case conversion may be inaccurate. Consider using '#align summable.smul_const Summable.smul_constₓ'. -/
 theorem Summable.smul_const (hf : Summable f) (a : M) : Summable fun z => f z • a :=
   (hf.HasSum.smul_const _).Summable
 #align summable.smul_const Summable.smul_const
@@ -60,38 +48,23 @@ variable [Semiring R] [Semiring R₂] [AddCommMonoid M] [Module R M] [AddCommMon
   [TopologicalSpace M] [TopologicalSpace M₂] {σ : R →+* R₂} {σ' : R₂ →+* R} [RingHomInvPair σ σ']
   [RingHomInvPair σ' σ]
 
-/- warning: continuous_linear_map.has_sum -> ContinuousLinearMap.hasSum is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.has_sum ContinuousLinearMap.hasSumₓ'. -/
 /-- Applying a continuous linear map commutes with taking an (infinite) sum. -/
 protected theorem ContinuousLinearMap.hasSum {f : ι → M} (φ : M →SL[σ] M₂) {x : M}
     (hf : HasSum f x) : HasSum (fun b : ι => φ (f b)) (φ x) := by
   simpa only using hf.map φ.to_linear_map.to_add_monoid_hom φ.continuous
 #align continuous_linear_map.has_sum ContinuousLinearMap.hasSum
 
-/- warning: has_sum.mapL -> HasSum.mapL is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align has_sum.mapL HasSum.mapLₓ'. -/
 alias ContinuousLinearMap.hasSum ← HasSum.mapL
 #align has_sum.mapL HasSum.mapL
 
-/- warning: continuous_linear_map.summable -> ContinuousLinearMap.summable is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.summable ContinuousLinearMap.summableₓ'. -/
 protected theorem ContinuousLinearMap.summable {f : ι → M} (φ : M →SL[σ] M₂) (hf : Summable f) :
     Summable fun b : ι => φ (f b) :=
   (hf.HasSum.mapL φ).Summable
 #align continuous_linear_map.summable ContinuousLinearMap.summable
 
-/- warning: summable.mapL -> Summable.mapL is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align summable.mapL Summable.mapLₓ'. -/
 alias ContinuousLinearMap.summable ← Summable.mapL
 #align summable.mapL Summable.mapL
 
-/- warning: continuous_linear_map.map_tsum -> ContinuousLinearMap.map_tsum is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.map_tsum ContinuousLinearMap.map_tsumₓ'. -/
 protected theorem ContinuousLinearMap.map_tsum [T2Space M₂] {f : ι → M} (φ : M →SL[σ] M₂)
     (hf : Summable f) : φ (∑' z, f z) = ∑' z, φ (f z) :=
   (hf.HasSum.mapL φ).tsum_eq.symm
@@ -99,9 +72,6 @@ protected theorem ContinuousLinearMap.map_tsum [T2Space M₂] {f : ι → M} (φ
 
 include σ'
 
-/- warning: continuous_linear_equiv.has_sum -> ContinuousLinearEquiv.hasSum is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.has_sum ContinuousLinearEquiv.hasSumₓ'. -/
 /-- Applying a continuous linear map commutes with taking an (infinite) sum. -/
 protected theorem ContinuousLinearEquiv.hasSum {f : ι → M} (e : M ≃SL[σ] M₂) {y : M₂} :
     HasSum (fun b : ι => e (f b)) y ↔ HasSum f (e.symm y) :=
@@ -109,26 +79,17 @@ protected theorem ContinuousLinearEquiv.hasSum {f : ι → M} (e : M ≃SL[σ] M
     fun h => by simpa only [e.coe_coe, e.apply_symm_apply] using (e : M →SL[σ] M₂).HasSum h⟩
 #align continuous_linear_equiv.has_sum ContinuousLinearEquiv.hasSum
 
-/- warning: continuous_linear_equiv.has_sum' -> ContinuousLinearEquiv.hasSum' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.has_sum' ContinuousLinearEquiv.hasSum'ₓ'. -/
 /-- Applying a continuous linear map commutes with taking an (infinite) sum. -/
 protected theorem ContinuousLinearEquiv.hasSum' {f : ι → M} (e : M ≃SL[σ] M₂) {x : M} :
     HasSum (fun b : ι => e (f b)) (e x) ↔ HasSum f x := by
   rw [e.has_sum, ContinuousLinearEquiv.symm_apply_apply]
 #align continuous_linear_equiv.has_sum' ContinuousLinearEquiv.hasSum'
 
-/- warning: continuous_linear_equiv.summable -> ContinuousLinearEquiv.summable is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.summable ContinuousLinearEquiv.summableₓ'. -/
 protected theorem ContinuousLinearEquiv.summable {f : ι → M} (e : M ≃SL[σ] M₂) :
     (Summable fun b : ι => e (f b)) ↔ Summable f :=
   ⟨fun hf => (e.HasSum.1 hf.HasSum).Summable, (e : M →SL[σ] M₂).Summable⟩
 #align continuous_linear_equiv.summable ContinuousLinearEquiv.summable
 
-/- warning: continuous_linear_equiv.tsum_eq_iff -> ContinuousLinearEquiv.tsum_eq_iff is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.tsum_eq_iff ContinuousLinearEquiv.tsum_eq_iffₓ'. -/
 theorem ContinuousLinearEquiv.tsum_eq_iff [T2Space M] [T2Space M₂] {f : ι → M} (e : M ≃SL[σ] M₂)
     {y : M₂} : (∑' z, e (f z)) = y ↔ (∑' z, f z) = e.symm y :=
   by
@@ -142,9 +103,6 @@ theorem ContinuousLinearEquiv.tsum_eq_iff [T2Space M] [T2Space M₂] {f : ι →
     exact ⟨by rintro rfl; simp, fun H => by simpa using congr_arg (fun z => e z) H⟩
 #align continuous_linear_equiv.tsum_eq_iff ContinuousLinearEquiv.tsum_eq_iff
 
-/- warning: continuous_linear_equiv.map_tsum -> ContinuousLinearEquiv.map_tsum is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.map_tsum ContinuousLinearEquiv.map_tsumₓ'. -/
 protected theorem ContinuousLinearEquiv.map_tsum [T2Space M] [T2Space M₂] {f : ι → M}
     (e : M ≃SL[σ] M₂) : e (∑' z, f z) = ∑' z, e (f z) := by refine' symm (e.tsum_eq_iff.mpr _);
   rw [e.symm_apply_apply _]

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

@@ -139,19 +139,14 @@ theorem ContinuousLinearEquiv.tsum_eq_iff [T2Space M] [T2Space M₂] {f : ι →
         (e.has_sum.mpr (hf.has_sum_iff.mpr h)).tsum_eq⟩
   · have hf' : ¬Summable fun z => e (f z) := fun h => hf (e.summable.mp h)
     rw [tsum_eq_zero_of_not_summable hf, tsum_eq_zero_of_not_summable hf']
-    exact
-      ⟨by
-        rintro rfl
-        simp, fun H => by simpa using congr_arg (fun z => e z) H⟩
+    exact ⟨by rintro rfl; simp, fun H => by simpa using congr_arg (fun z => e z) H⟩
 #align continuous_linear_equiv.tsum_eq_iff ContinuousLinearEquiv.tsum_eq_iff
 
 /- warning: continuous_linear_equiv.map_tsum -> ContinuousLinearEquiv.map_tsum is a dubious translation:
 <too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.map_tsum ContinuousLinearEquiv.map_tsumₓ'. -/
 protected theorem ContinuousLinearEquiv.map_tsum [T2Space M] [T2Space M₂] {f : ι → M}
-    (e : M ≃SL[σ] M₂) : e (∑' z, f z) = ∑' z, e (f z) :=
-  by
-  refine' symm (e.tsum_eq_iff.mpr _)
+    (e : M ≃SL[σ] M₂) : e (∑' z, f z) = ∑' z, e (f z) := by refine' symm (e.tsum_eq_iff.mpr _);
   rw [e.symm_apply_apply _]
 #align continuous_linear_equiv.map_tsum ContinuousLinearEquiv.map_tsum
 

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

@@ -61,10 +61,7 @@ variable [Semiring R] [Semiring R₂] [AddCommMonoid M] [Module R M] [AddCommMon
   [RingHomInvPair σ' σ]
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.has_sum ContinuousLinearMap.hasSumₓ'. -/
 /-- Applying a continuous linear map commutes with taking an (infinite) sum. -/
 protected theorem ContinuousLinearMap.hasSum {f : ι → M} (φ : M →SL[σ] M₂) {x : M}
@@ -73,19 +70,13 @@ protected theorem ContinuousLinearMap.hasSum {f : ι → M} (φ : M →SL[σ] M
 #align continuous_linear_map.has_sum ContinuousLinearMap.hasSum
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align has_sum.mapL HasSum.mapLₓ'. -/
 alias ContinuousLinearMap.hasSum ← HasSum.mapL
 #align has_sum.mapL HasSum.mapL
 
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 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.summable ContinuousLinearMap.summableₓ'. -/
 protected theorem ContinuousLinearMap.summable {f : ι → M} (φ : M →SL[σ] M₂) (hf : Summable f) :
     Summable fun b : ι => φ (f b) :=
@@ -93,19 +84,13 @@ protected theorem ContinuousLinearMap.summable {f : ι → M} (φ : M →SL[σ]
 #align continuous_linear_map.summable ContinuousLinearMap.summable
 
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 Case conversion may be inaccurate. Consider using '#align summable.mapL Summable.mapLₓ'. -/
 alias ContinuousLinearMap.summable ← Summable.mapL
 #align summable.mapL Summable.mapL
 
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 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.map_tsum ContinuousLinearMap.map_tsumₓ'. -/
 protected theorem ContinuousLinearMap.map_tsum [T2Space M₂] {f : ι → M} (φ : M →SL[σ] M₂)
     (hf : Summable f) : φ (∑' z, f z) = ∑' z, φ (f z) :=
@@ -115,10 +100,7 @@ protected theorem ContinuousLinearMap.map_tsum [T2Space M₂] {f : ι → M} (φ
 include σ'
 
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 Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.has_sum ContinuousLinearEquiv.hasSumₓ'. -/
 /-- Applying a continuous linear map commutes with taking an (infinite) sum. -/
 protected theorem ContinuousLinearEquiv.hasSum {f : ι → M} (e : M ≃SL[σ] M₂) {y : M₂} :
@@ -128,10 +110,7 @@ protected theorem ContinuousLinearEquiv.hasSum {f : ι → M} (e : M ≃SL[σ] M
 #align continuous_linear_equiv.has_sum ContinuousLinearEquiv.hasSum
 
 /- warning: continuous_linear_equiv.has_sum' -> ContinuousLinearEquiv.hasSum' is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.has_sum' ContinuousLinearEquiv.hasSum'ₓ'. -/
 /-- Applying a continuous linear map commutes with taking an (infinite) sum. -/
 protected theorem ContinuousLinearEquiv.hasSum' {f : ι → M} (e : M ≃SL[σ] M₂) {x : M} :
@@ -140,10 +119,7 @@ protected theorem ContinuousLinearEquiv.hasSum' {f : ι → M} (e : M ≃SL[σ]
 #align continuous_linear_equiv.has_sum' ContinuousLinearEquiv.hasSum'
 
 /- warning: continuous_linear_equiv.summable -> ContinuousLinearEquiv.summable is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.summable ContinuousLinearEquiv.summableₓ'. -/
 protected theorem ContinuousLinearEquiv.summable {f : ι → M} (e : M ≃SL[σ] M₂) :
     (Summable fun b : ι => e (f b)) ↔ Summable f :=
@@ -151,10 +127,7 @@ protected theorem ContinuousLinearEquiv.summable {f : ι → M} (e : M ≃SL[σ]
 #align continuous_linear_equiv.summable ContinuousLinearEquiv.summable
 
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 Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.tsum_eq_iff ContinuousLinearEquiv.tsum_eq_iffₓ'. -/
 theorem ContinuousLinearEquiv.tsum_eq_iff [T2Space M] [T2Space M₂] {f : ι → M} (e : M ≃SL[σ] M₂)
     {y : M₂} : (∑' z, e (f z)) = y ↔ (∑' z, f z) = e.symm y :=
@@ -173,10 +146,7 @@ theorem ContinuousLinearEquiv.tsum_eq_iff [T2Space M] [T2Space M₂] {f : ι →
 #align continuous_linear_equiv.tsum_eq_iff ContinuousLinearEquiv.tsum_eq_iff
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.map_tsum ContinuousLinearEquiv.map_tsumₓ'. -/
 protected theorem ContinuousLinearEquiv.map_tsum [T2Space M] [T2Space M₂] {f : ι → M}
     (e : M ≃SL[σ] M₂) : e (∑' z, f z) = ∑' z, e (f z) :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/e05ead7993520a432bec94ac504842d90707ad63

@@ -127,17 +127,17 @@ protected theorem ContinuousLinearEquiv.hasSum {f : ι → M} (e : M ≃SL[σ] M
     fun h => by simpa only [e.coe_coe, e.apply_symm_apply] using (e : M →SL[σ] M₂).HasSum h⟩
 #align continuous_linear_equiv.has_sum ContinuousLinearEquiv.hasSum
 
-/- warning: continuous_linear_equiv.has_sum' -> ContinuousLinearEquiv.has_sum' is a dubious translation:
+/- warning: continuous_linear_equiv.has_sum' -> ContinuousLinearEquiv.hasSum' is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.has_sum' ContinuousLinearEquiv.has_sum'ₓ'. -/
+Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.has_sum' ContinuousLinearEquiv.hasSum'ₓ'. -/
 /-- Applying a continuous linear map commutes with taking an (infinite) sum. -/
-protected theorem ContinuousLinearEquiv.has_sum' {f : ι → M} (e : M ≃SL[σ] M₂) {x : M} :
+protected theorem ContinuousLinearEquiv.hasSum' {f : ι → M} (e : M ≃SL[σ] M₂) {x : M} :
     HasSum (fun b : ι => e (f b)) (e x) ↔ HasSum f x := by
   rw [e.has_sum, ContinuousLinearEquiv.symm_apply_apply]
-#align continuous_linear_equiv.has_sum' ContinuousLinearEquiv.has_sum'
+#align continuous_linear_equiv.has_sum' ContinuousLinearEquiv.hasSum'
 
 /- warning: continuous_linear_equiv.summable -> ContinuousLinearEquiv.summable is a dubious translation:
 lean 3 declaration is

mathlib commit https://github.com/leanprover-community/mathlib/commit/5ec62c8106221a3f9160e4e4fcc3eed79fe213e9

@@ -4,14 +4,17 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Heather Macbeth, Yury Kudryashov, Frédéric Dupuis
 
 ! This file was ported from Lean 3 source module topology.algebra.infinite_sum.module
-! leanprover-community/mathlib commit 32253a1a1071173b33dc7d6a218cf722c6feb514
+! leanprover-community/mathlib commit 75be6b616681ab6ca66d798ead117e75cd64f125
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
 import Mathbin.Topology.Algebra.InfiniteSum.Basic
 import Mathbin.Topology.Algebra.Module.Basic
 
-/-! # Infinite sums in topological vector spaces -/
+/-! # Infinite sums in topological vector spaces 
+
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.-/
 
 
 variable {ι R R₂ M M₂ : Type _}

mathlib commit https://github.com/leanprover-community/mathlib/commit/1a4df69ca1a9a0e5e26bfe12e2b92814216016d0

@@ -21,17 +21,31 @@ section SmulConst
 variable [Semiring R] [TopologicalSpace R] [TopologicalSpace M] [AddCommMonoid M] [Module R M]
   [ContinuousSMul R M] {f : ι → R}
 
+/- warning: has_sum.smul_const -> HasSum.smul_const is a dubious translation:
+lean 3 declaration is
+  forall {ι : Type.{u1}} {R : Type.{u2}} {M : Type.{u3}} [_inst_1 : Semiring.{u2} R] [_inst_2 : TopologicalSpace.{u2} R] [_inst_3 : TopologicalSpace.{u3} M] [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u2, u3} R M _inst_1 _inst_4] [_inst_6 : ContinuousSMul.{u2, u3} R M (SMulZeroClass.toHasSmul.{u2, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} R M (MulZeroClass.toHasZero.{u2} R (MulZeroOneClass.toMulZeroClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R _inst_1) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} R M _inst_1 _inst_4 _inst_5)))) _inst_2 _inst_3] {f : ι -> R} {r : R}, (HasSum.{u2, u1} R ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) _inst_2 f r) -> (forall (a : M), HasSum.{u3, u1} M ι _inst_4 _inst_3 (fun (z : ι) => SMul.smul.{u2, u3} R M (SMulZeroClass.toHasSmul.{u2, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} R M (MulZeroClass.toHasZero.{u2} R (MulZeroOneClass.toMulZeroClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R _inst_1) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} R M _inst_1 _inst_4 _inst_5)))) (f z) a) (SMul.smul.{u2, u3} R M (SMulZeroClass.toHasSmul.{u2, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} R M (MulZeroClass.toHasZero.{u2} R (MulZeroOneClass.toMulZeroClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R _inst_1) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} R M _inst_1 _inst_4 _inst_5)))) r a))
+but is expected to have type
+  forall {ι : Type.{u2}} {R : Type.{u3}} {M : Type.{u1}} [_inst_1 : Semiring.{u3} R] [_inst_2 : TopologicalSpace.{u3} R] [_inst_3 : TopologicalSpace.{u1} M] [_inst_4 : AddCommMonoid.{u1} M] [_inst_5 : Module.{u3, u1} R M _inst_1 _inst_4] [_inst_6 : ContinuousSMul.{u3, u1} R M (SMulZeroClass.toSMul.{u3, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u3, u1} R M (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u3, u1} R M (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_4)) (Module.toMulActionWithZero.{u3, u1} R M _inst_1 _inst_4 _inst_5)))) _inst_2 _inst_3] {f : ι -> R} {r : R}, (HasSum.{u3, u2} R ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) _inst_2 f r) -> (forall (a : M), HasSum.{u1, u2} M ι _inst_4 _inst_3 (fun (z : ι) => HSMul.hSMul.{u3, u1, u1} R M M (instHSMul.{u3, u1} R M (SMulZeroClass.toSMul.{u3, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u3, u1} R M (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u3, u1} R M (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_4)) (Module.toMulActionWithZero.{u3, u1} R M _inst_1 _inst_4 _inst_5))))) (f z) a) (HSMul.hSMul.{u3, u1, u1} R M M (instHSMul.{u3, u1} R M (SMulZeroClass.toSMul.{u3, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u3, u1} R M (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u3, u1} R M (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_4)) (Module.toMulActionWithZero.{u3, u1} R M _inst_1 _inst_4 _inst_5))))) r a))
+Case conversion may be inaccurate. Consider using '#align has_sum.smul_const HasSum.smul_constₓ'. -/
 theorem HasSum.smul_const {r : R} (hf : HasSum f r) (a : M) : HasSum (fun z => f z • a) (r • a) :=
   hf.map ((smulAddHom R M).flip a) (continuous_id.smul continuous_const)
 #align has_sum.smul_const HasSum.smul_const
 
+/- warning: summable.smul_const -> Summable.smul_const is a dubious translation:
+lean 3 declaration is
+  forall {ι : Type.{u1}} {R : Type.{u2}} {M : Type.{u3}} [_inst_1 : Semiring.{u2} R] [_inst_2 : TopologicalSpace.{u2} R] [_inst_3 : TopologicalSpace.{u3} M] [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u2, u3} R M _inst_1 _inst_4] [_inst_6 : ContinuousSMul.{u2, u3} R M (SMulZeroClass.toHasSmul.{u2, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} R M (MulZeroClass.toHasZero.{u2} R (MulZeroOneClass.toMulZeroClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R _inst_1) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} R M _inst_1 _inst_4 _inst_5)))) _inst_2 _inst_3] {f : ι -> R}, (Summable.{u2, u1} R ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) _inst_2 f) -> (forall (a : M), Summable.{u3, u1} M ι _inst_4 _inst_3 (fun (z : ι) => SMul.smul.{u2, u3} R M (SMulZeroClass.toHasSmul.{u2, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} R M (MulZeroClass.toHasZero.{u2} R (MulZeroOneClass.toMulZeroClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R _inst_1) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} R M _inst_1 _inst_4 _inst_5)))) (f z) a))
+but is expected to have type
+  forall {ι : Type.{u2}} {R : Type.{u3}} {M : Type.{u1}} [_inst_1 : Semiring.{u3} R] [_inst_2 : TopologicalSpace.{u3} R] [_inst_3 : TopologicalSpace.{u1} M] [_inst_4 : AddCommMonoid.{u1} M] [_inst_5 : Module.{u3, u1} R M _inst_1 _inst_4] [_inst_6 : ContinuousSMul.{u3, u1} R M (SMulZeroClass.toSMul.{u3, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u3, u1} R M (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u3, u1} R M (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_4)) (Module.toMulActionWithZero.{u3, u1} R M _inst_1 _inst_4 _inst_5)))) _inst_2 _inst_3] {f : ι -> R}, (Summable.{u3, u2} R ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) _inst_2 f) -> (forall (a : M), Summable.{u1, u2} M ι _inst_4 _inst_3 (fun (z : ι) => HSMul.hSMul.{u3, u1, u1} R M M (instHSMul.{u3, u1} R M (SMulZeroClass.toSMul.{u3, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u3, u1} R M (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u3, u1} R M (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_4)) (Module.toMulActionWithZero.{u3, u1} R M _inst_1 _inst_4 _inst_5))))) (f z) a))
+Case conversion may be inaccurate. Consider using '#align summable.smul_const Summable.smul_constₓ'. -/
 theorem Summable.smul_const (hf : Summable f) (a : M) : Summable fun z => f z • a :=
   (hf.HasSum.smul_const _).Summable
 #align summable.smul_const Summable.smul_const
 
+#print tsum_smul_const /-
 theorem tsum_smul_const [T2Space M] (hf : Summable f) (a : M) : (∑' z, f z • a) = (∑' z, f z) • a :=
   (hf.HasSum.smul_const _).tsum_eq
 #align tsum_smul_const tsum_smul_const
+-/
 
 end SmulConst
 
@@ -43,23 +57,53 @@ variable [Semiring R] [Semiring R₂] [AddCommMonoid M] [Module R M] [AddCommMon
   [TopologicalSpace M] [TopologicalSpace M₂] {σ : R →+* R₂} {σ' : R₂ →+* R} [RingHomInvPair σ σ']
   [RingHomInvPair σ' σ]
 
+/- warning: continuous_linear_map.has_sum -> ContinuousLinearMap.hasSum is a dubious translation:
+lean 3 declaration is
+  forall {ι : Type.{u1}} {R : Type.{u2}} {R₂ : Type.{u3}} {M : Type.{u4}} {M₂ : Type.{u5}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u3} R₂] [_inst_3 : AddCommMonoid.{u4} M] [_inst_4 : Module.{u2, u4} R M _inst_1 _inst_3] [_inst_5 : AddCommMonoid.{u5} M₂] [_inst_6 : Module.{u3, u5} R₂ M₂ _inst_2 _inst_5] [_inst_7 : TopologicalSpace.{u4} M] [_inst_8 : TopologicalSpace.{u5} M₂] {σ : RingHom.{u2, u3} R R₂ (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_2)} {f : ι -> M} (φ : ContinuousLinearMap.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) {x : M}, (HasSum.{u4, u1} M ι _inst_3 _inst_7 f x) -> (HasSum.{u5, u1} M₂ ι _inst_5 _inst_8 (fun (b : ι) => coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (ContinuousLinearMap.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) (fun (_x : ContinuousLinearMap.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) => M -> M₂) (ContinuousLinearMap.toFun.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) φ (f b)) (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (ContinuousLinearMap.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) (fun (_x : ContinuousLinearMap.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) => M -> M₂) (ContinuousLinearMap.toFun.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) φ x))
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+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.has_sum ContinuousLinearMap.hasSumₓ'. -/
 /-- Applying a continuous linear map commutes with taking an (infinite) sum. -/
 protected theorem ContinuousLinearMap.hasSum {f : ι → M} (φ : M →SL[σ] M₂) {x : M}
     (hf : HasSum f x) : HasSum (fun b : ι => φ (f b)) (φ x) := by
   simpa only using hf.map φ.to_linear_map.to_add_monoid_hom φ.continuous
 #align continuous_linear_map.has_sum ContinuousLinearMap.hasSum
 
+/- warning: has_sum.mapL -> HasSum.mapL is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align has_sum.mapL HasSum.mapLₓ'. -/
 alias ContinuousLinearMap.hasSum ← HasSum.mapL
 #align has_sum.mapL HasSum.mapL
 
+/- warning: continuous_linear_map.summable -> ContinuousLinearMap.summable is a dubious translation:
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+  forall {ι : Type.{u1}} {R : Type.{u2}} {R₂ : Type.{u3}} {M : Type.{u4}} {M₂ : Type.{u5}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u3} R₂] [_inst_3 : AddCommMonoid.{u4} M] [_inst_4 : Module.{u2, u4} R M _inst_1 _inst_3] [_inst_5 : AddCommMonoid.{u5} M₂] [_inst_6 : Module.{u3, u5} R₂ M₂ _inst_2 _inst_5] [_inst_7 : TopologicalSpace.{u4} M] [_inst_8 : TopologicalSpace.{u5} M₂] {σ : RingHom.{u2, u3} R R₂ (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_2)} {f : ι -> M} (φ : ContinuousLinearMap.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6), (Summable.{u4, u1} M ι _inst_3 _inst_7 f) -> (Summable.{u5, u1} M₂ ι _inst_5 _inst_8 (fun (b : ι) => coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (ContinuousLinearMap.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) (fun (_x : ContinuousLinearMap.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) => M -> M₂) (ContinuousLinearMap.toFun.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) φ (f b)))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.summable ContinuousLinearMap.summableₓ'. -/
 protected theorem ContinuousLinearMap.summable {f : ι → M} (φ : M →SL[σ] M₂) (hf : Summable f) :
     Summable fun b : ι => φ (f b) :=
   (hf.HasSum.mapL φ).Summable
 #align continuous_linear_map.summable ContinuousLinearMap.summable
 
+/- warning: summable.mapL -> Summable.mapL is a dubious translation:
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+  forall {ι : Type.{u1}} {R : Type.{u2}} {R₂ : Type.{u3}} {M : Type.{u4}} {M₂ : Type.{u5}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u3} R₂] [_inst_3 : AddCommMonoid.{u4} M] [_inst_4 : Module.{u2, u4} R M _inst_1 _inst_3] [_inst_5 : AddCommMonoid.{u5} M₂] [_inst_6 : Module.{u3, u5} R₂ M₂ _inst_2 _inst_5] [_inst_7 : TopologicalSpace.{u4} M] [_inst_8 : TopologicalSpace.{u5} M₂] {σ : RingHom.{u2, u3} R R₂ (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_2)} {f : ι -> M} (φ : ContinuousLinearMap.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6), (Summable.{u4, u1} M ι _inst_3 _inst_7 f) -> (Summable.{u5, u1} M₂ ι _inst_5 _inst_8 (fun (b : ι) => coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (ContinuousLinearMap.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) (fun (_x : ContinuousLinearMap.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) => M -> M₂) (ContinuousLinearMap.toFun.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) φ (f b)))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align summable.mapL Summable.mapLₓ'. -/
 alias ContinuousLinearMap.summable ← Summable.mapL
 #align summable.mapL Summable.mapL
 
+/- warning: continuous_linear_map.map_tsum -> ContinuousLinearMap.map_tsum is a dubious translation:
+lean 3 declaration is
+  forall {ι : Type.{u1}} {R : Type.{u2}} {R₂ : Type.{u3}} {M : Type.{u4}} {M₂ : Type.{u5}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u3} R₂] [_inst_3 : AddCommMonoid.{u4} M] [_inst_4 : Module.{u2, u4} R M _inst_1 _inst_3] [_inst_5 : AddCommMonoid.{u5} M₂] [_inst_6 : Module.{u3, u5} R₂ M₂ _inst_2 _inst_5] [_inst_7 : TopologicalSpace.{u4} M] [_inst_8 : TopologicalSpace.{u5} M₂] {σ : RingHom.{u2, u3} R R₂ (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_2)} [_inst_11 : T2Space.{u5} M₂ _inst_8] {f : ι -> M} (φ : ContinuousLinearMap.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6), (Summable.{u4, u1} M ι _inst_3 _inst_7 f) -> (Eq.{succ u5} M₂ (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (ContinuousLinearMap.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) (fun (_x : ContinuousLinearMap.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) => M -> M₂) (ContinuousLinearMap.toFun.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) φ (tsum.{u4, u1} M _inst_3 _inst_7 ι (fun (z : ι) => f z))) (tsum.{u5, u1} M₂ _inst_5 _inst_8 ι (fun (z : ι) => coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (ContinuousLinearMap.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) (fun (_x : ContinuousLinearMap.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) => M -> M₂) (ContinuousLinearMap.toFun.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) φ (f z))))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.map_tsum ContinuousLinearMap.map_tsumₓ'. -/
 protected theorem ContinuousLinearMap.map_tsum [T2Space M₂] {f : ι → M} (φ : M →SL[σ] M₂)
     (hf : Summable f) : φ (∑' z, f z) = ∑' z, φ (f z) :=
   (hf.HasSum.mapL φ).tsum_eq.symm
@@ -67,6 +111,12 @@ protected theorem ContinuousLinearMap.map_tsum [T2Space M₂] {f : ι → M} (φ
 
 include σ'
 
+/- warning: continuous_linear_equiv.has_sum -> ContinuousLinearEquiv.hasSum is a dubious translation:
+lean 3 declaration is
+  forall {ι : Type.{u1}} {R : Type.{u2}} {R₂ : Type.{u3}} {M : Type.{u4}} {M₂ : Type.{u5}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u3} R₂] [_inst_3 : AddCommMonoid.{u4} M] [_inst_4 : Module.{u2, u4} R M _inst_1 _inst_3] [_inst_5 : AddCommMonoid.{u5} M₂] [_inst_6 : Module.{u3, u5} R₂ M₂ _inst_2 _inst_5] [_inst_7 : TopologicalSpace.{u4} M] [_inst_8 : TopologicalSpace.{u5} M₂] {σ : RingHom.{u2, u3} R R₂ (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_2)} {σ' : RingHom.{u3, u2} R₂ R (Semiring.toNonAssocSemiring.{u3} R₂ _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} [_inst_9 : RingHomInvPair.{u2, u3} R R₂ _inst_1 _inst_2 σ σ'] [_inst_10 : RingHomInvPair.{u3, u2} R₂ R _inst_2 _inst_1 σ' σ] {f : ι -> M} (e : ContinuousLinearEquiv.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) {y : M₂}, Iff (HasSum.{u5, u1} M₂ ι _inst_5 _inst_8 (fun (b : ι) => coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (ContinuousLinearEquiv.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) (fun (_x : ContinuousLinearEquiv.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) => M -> M₂) (ContinuousLinearEquiv.hasCoeToFun.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) e (f b)) y) (HasSum.{u4, u1} M ι _inst_3 _inst_7 f (coeFn.{max (succ u5) (succ u4), max (succ u5) (succ u4)} (ContinuousLinearEquiv.{u3, u2, u5, u4} R₂ R _inst_2 _inst_1 σ' σ _inst_10 _inst_9 M₂ _inst_8 _inst_5 M _inst_7 _inst_3 _inst_6 _inst_4) (fun (_x : ContinuousLinearEquiv.{u3, u2, u5, u4} R₂ R _inst_2 _inst_1 σ' σ _inst_10 _inst_9 M₂ _inst_8 _inst_5 M _inst_7 _inst_3 _inst_6 _inst_4) => M₂ -> M) (ContinuousLinearEquiv.hasCoeToFun.{u3, u2, u5, u4} R₂ R _inst_2 _inst_1 σ' σ _inst_10 _inst_9 M₂ _inst_8 _inst_5 M _inst_7 _inst_3 _inst_6 _inst_4) (ContinuousLinearEquiv.symm.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6 e) y))
+but is expected to have type
+  forall {ι : Type.{u1}} {R : Type.{u5}} {R₂ : Type.{u4}} {M : Type.{u3}} {M₂ : Type.{u2}} [_inst_1 : Semiring.{u5} R] [_inst_2 : Semiring.{u4} R₂] [_inst_3 : AddCommMonoid.{u3} M] [_inst_4 : Module.{u5, u3} R M _inst_1 _inst_3] [_inst_5 : AddCommMonoid.{u2} M₂] [_inst_6 : Module.{u4, u2} R₂ M₂ _inst_2 _inst_5] [_inst_7 : TopologicalSpace.{u3} M] [_inst_8 : TopologicalSpace.{u2} M₂] {σ : RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_2)} {σ' : RingHom.{u4, u5} R₂ R (Semiring.toNonAssocSemiring.{u4} R₂ _inst_2) (Semiring.toNonAssocSemiring.{u5} R _inst_1)} [_inst_9 : RingHomInvPair.{u5, u4} R R₂ _inst_1 _inst_2 σ σ'] [_inst_10 : RingHomInvPair.{u4, u5} R₂ R _inst_2 _inst_1 σ' σ] {f : ι -> M} (e : ContinuousLinearEquiv.{u5, u4, u3, u2} R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) {y : M₂}, Iff (HasSum.{u2, u1} M₂ ι _inst_5 _inst_8 (fun (b : ι) => FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (ContinuousLinearEquiv.{u5, u4, u3, u2} R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) M (fun (_x : M) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : M) => M₂) _x) (ContinuousMapClass.toFunLike.{max u3 u2, u3, u2} (ContinuousLinearEquiv.{u5, u4, u3, u2} R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) M M₂ _inst_7 _inst_8 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u2, u5, u4, u3, u2} (ContinuousLinearEquiv.{u5, u4, u3, u2} R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) R R₂ _inst_1 _inst_2 σ M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6 (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{max u3 u2, u5, u4, u3, u2} (ContinuousLinearEquiv.{u5, u4, u3, u2} R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6 (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u5, u4, u3, u2} R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6)))) e (f b)) y) (HasSum.{u3, u1} M ι _inst_3 _inst_7 f (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (ContinuousLinearEquiv.{u4, u5, u2, u3} R₂ R _inst_2 _inst_1 σ' σ _inst_10 _inst_9 M₂ _inst_8 _inst_5 M _inst_7 _inst_3 _inst_6 _inst_4) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : M₂) => M) _x) (ContinuousMapClass.toFunLike.{max u3 u2, u2, u3} (ContinuousLinearEquiv.{u4, u5, u2, u3} R₂ R _inst_2 _inst_1 σ' σ _inst_10 _inst_9 M₂ _inst_8 _inst_5 M _inst_7 _inst_3 _inst_6 _inst_4) M₂ M _inst_8 _inst_7 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u2, u4, u5, u2, u3} (ContinuousLinearEquiv.{u4, u5, u2, u3} R₂ R _inst_2 _inst_1 σ' σ _inst_10 _inst_9 M₂ _inst_8 _inst_5 M _inst_7 _inst_3 _inst_6 _inst_4) R₂ R _inst_2 _inst_1 σ' M₂ _inst_8 _inst_5 M _inst_7 _inst_3 _inst_6 _inst_4 (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{max u3 u2, u4, u5, u2, u3} (ContinuousLinearEquiv.{u4, u5, u2, u3} R₂ R _inst_2 _inst_1 σ' σ _inst_10 _inst_9 M₂ _inst_8 _inst_5 M _inst_7 _inst_3 _inst_6 _inst_4) R₂ R _inst_2 _inst_1 σ' σ _inst_10 _inst_9 M₂ _inst_8 _inst_5 M _inst_7 _inst_3 _inst_6 _inst_4 (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u4, u5, u2, u3} R₂ R _inst_2 _inst_1 σ' σ _inst_10 _inst_9 M₂ _inst_8 _inst_5 M _inst_7 _inst_3 _inst_6 _inst_4)))) (ContinuousLinearEquiv.symm.{u5, u4, u3, u2} R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6 e) y))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.has_sum ContinuousLinearEquiv.hasSumₓ'. -/
 /-- Applying a continuous linear map commutes with taking an (infinite) sum. -/
 protected theorem ContinuousLinearEquiv.hasSum {f : ι → M} (e : M ≃SL[σ] M₂) {y : M₂} :
     HasSum (fun b : ι => e (f b)) y ↔ HasSum f (e.symm y) :=
@@ -74,17 +124,35 @@ protected theorem ContinuousLinearEquiv.hasSum {f : ι → M} (e : M ≃SL[σ] M
     fun h => by simpa only [e.coe_coe, e.apply_symm_apply] using (e : M →SL[σ] M₂).HasSum h⟩
 #align continuous_linear_equiv.has_sum ContinuousLinearEquiv.hasSum
 
+/- warning: continuous_linear_equiv.has_sum' -> ContinuousLinearEquiv.has_sum' is a dubious translation:
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.has_sum' ContinuousLinearEquiv.has_sum'ₓ'. -/
 /-- Applying a continuous linear map commutes with taking an (infinite) sum. -/
 protected theorem ContinuousLinearEquiv.has_sum' {f : ι → M} (e : M ≃SL[σ] M₂) {x : M} :
     HasSum (fun b : ι => e (f b)) (e x) ↔ HasSum f x := by
   rw [e.has_sum, ContinuousLinearEquiv.symm_apply_apply]
 #align continuous_linear_equiv.has_sum' ContinuousLinearEquiv.has_sum'
 
+/- warning: continuous_linear_equiv.summable -> ContinuousLinearEquiv.summable is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.summable ContinuousLinearEquiv.summableₓ'. -/
 protected theorem ContinuousLinearEquiv.summable {f : ι → M} (e : M ≃SL[σ] M₂) :
     (Summable fun b : ι => e (f b)) ↔ Summable f :=
   ⟨fun hf => (e.HasSum.1 hf.HasSum).Summable, (e : M →SL[σ] M₂).Summable⟩
 #align continuous_linear_equiv.summable ContinuousLinearEquiv.summable
 
+/- warning: continuous_linear_equiv.tsum_eq_iff -> ContinuousLinearEquiv.tsum_eq_iff is a dubious translation:
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.tsum_eq_iff ContinuousLinearEquiv.tsum_eq_iffₓ'. -/
 theorem ContinuousLinearEquiv.tsum_eq_iff [T2Space M] [T2Space M₂] {f : ι → M} (e : M ≃SL[σ] M₂)
     {y : M₂} : (∑' z, e (f z)) = y ↔ (∑' z, f z) = e.symm y :=
   by
@@ -101,6 +169,12 @@ theorem ContinuousLinearEquiv.tsum_eq_iff [T2Space M] [T2Space M₂] {f : ι →
         simp, fun H => by simpa using congr_arg (fun z => e z) H⟩
 #align continuous_linear_equiv.tsum_eq_iff ContinuousLinearEquiv.tsum_eq_iff
 
+/- warning: continuous_linear_equiv.map_tsum -> ContinuousLinearEquiv.map_tsum is a dubious translation:
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+  forall {ι : Type.{u1}} {R : Type.{u2}} {R₂ : Type.{u3}} {M : Type.{u4}} {M₂ : Type.{u5}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u3} R₂] [_inst_3 : AddCommMonoid.{u4} M] [_inst_4 : Module.{u2, u4} R M _inst_1 _inst_3] [_inst_5 : AddCommMonoid.{u5} M₂] [_inst_6 : Module.{u3, u5} R₂ M₂ _inst_2 _inst_5] [_inst_7 : TopologicalSpace.{u4} M] [_inst_8 : TopologicalSpace.{u5} M₂] {σ : RingHom.{u2, u3} R R₂ (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_2)} {σ' : RingHom.{u3, u2} R₂ R (Semiring.toNonAssocSemiring.{u3} R₂ _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} [_inst_9 : RingHomInvPair.{u2, u3} R R₂ _inst_1 _inst_2 σ σ'] [_inst_10 : RingHomInvPair.{u3, u2} R₂ R _inst_2 _inst_1 σ' σ] [_inst_11 : T2Space.{u4} M _inst_7] [_inst_12 : T2Space.{u5} M₂ _inst_8] {f : ι -> M} (e : ContinuousLinearEquiv.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6), Eq.{succ u5} M₂ (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (ContinuousLinearEquiv.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) (fun (_x : ContinuousLinearEquiv.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) => M -> M₂) (ContinuousLinearEquiv.hasCoeToFun.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) e (tsum.{u4, u1} M _inst_3 _inst_7 ι (fun (z : ι) => f z))) (tsum.{u5, u1} M₂ _inst_5 _inst_8 ι (fun (z : ι) => coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (ContinuousLinearEquiv.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) (fun (_x : ContinuousLinearEquiv.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) => M -> M₂) (ContinuousLinearEquiv.hasCoeToFun.{u2, u3, u4, u5} R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) e (f z)))
+but is expected to have type
+  forall {ι : Type.{u1}} {R : Type.{u3}} {R₂ : Type.{u2}} {M : Type.{u5}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u3} R] [_inst_2 : Semiring.{u2} R₂] [_inst_3 : AddCommMonoid.{u5} M] [_inst_4 : Module.{u3, u5} R M _inst_1 _inst_3] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : Module.{u2, u4} R₂ M₂ _inst_2 _inst_5] [_inst_7 : TopologicalSpace.{u5} M] [_inst_8 : TopologicalSpace.{u4} M₂] {σ : RingHom.{u3, u2} R R₂ (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u2} R₂ _inst_2)} {σ' : RingHom.{u2, u3} R₂ R (Semiring.toNonAssocSemiring.{u2} R₂ _inst_2) (Semiring.toNonAssocSemiring.{u3} R _inst_1)} [_inst_9 : RingHomInvPair.{u3, u2} R R₂ _inst_1 _inst_2 σ σ'] [_inst_10 : RingHomInvPair.{u2, u3} R₂ R _inst_2 _inst_1 σ' σ] [_inst_11 : T2Space.{u5} M _inst_7] [_inst_12 : T2Space.{u4} M₂ _inst_8] {f : ι -> M} (e : ContinuousLinearEquiv.{u3, u2, u5, u4} R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6), Eq.{succ u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : M) => M₂) (tsum.{u5, u1} M _inst_3 _inst_7 ι (fun (z : ι) => f z))) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (ContinuousLinearEquiv.{u3, u2, u5, u4} R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) M (fun (_x : M) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : M) => M₂) _x) (ContinuousMapClass.toFunLike.{max u5 u4, u5, u4} (ContinuousLinearEquiv.{u3, u2, u5, u4} R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) M M₂ _inst_7 _inst_8 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u5 u4, u3, u2, u5, u4} (ContinuousLinearEquiv.{u3, u2, u5, u4} R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) R R₂ _inst_1 _inst_2 σ M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6 (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{max u5 u4, u3, u2, u5, u4} (ContinuousLinearEquiv.{u3, u2, u5, u4} R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6 (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u3, u2, u5, u4} R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6)))) e (tsum.{u5, u1} M _inst_3 _inst_7 ι (fun (z : ι) => f z))) (tsum.{u4, u1} M₂ _inst_5 _inst_8 ι (fun (z : ι) => FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (ContinuousLinearEquiv.{u3, u2, u5, u4} R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) M (fun (_x : M) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : M) => M₂) _x) (ContinuousMapClass.toFunLike.{max u5 u4, u5, u4} (ContinuousLinearEquiv.{u3, u2, u5, u4} R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) M M₂ _inst_7 _inst_8 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u5 u4, u3, u2, u5, u4} (ContinuousLinearEquiv.{u3, u2, u5, u4} R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) R R₂ _inst_1 _inst_2 σ M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6 (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{max u5 u4, u3, u2, u5, u4} (ContinuousLinearEquiv.{u3, u2, u5, u4} R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6) R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6 (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u3, u2, u5, u4} R R₂ _inst_1 _inst_2 σ σ' _inst_9 _inst_10 M _inst_7 _inst_3 M₂ _inst_8 _inst_5 _inst_4 _inst_6)))) e (f z)))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.map_tsum ContinuousLinearEquiv.map_tsumₓ'. -/
 protected theorem ContinuousLinearEquiv.map_tsum [T2Space M] [T2Space M₂] {f : ι → M}
     (e : M ≃SL[σ] M₂) : e (∑' z, f z) = ∑' z, e (f z) :=
   by

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

@@ -211,7 +211,7 @@ noncomputable def MulAction.automorphize [Group α] [MulAction α β] (f : β 
   congr 1
   simp only [mul_smul]
 
-/-- Automorphization of a function into an `R`-`module` distributes, that is, commutes with the
+/-- Automorphization of a function into an `R`-`Module` distributes, that is, commutes with the
 `R`-scalar multiplication. -/
 lemma MulAction.automorphize_smul_left [Group α] [MulAction α β] (f : β → M)
     (g : Quotient (MulAction.orbitRel α β) → R) :
@@ -230,7 +230,7 @@ lemma MulAction.automorphize_smul_left [Group α] [MulAction α β] (f : β →
   simp_rw [H₁]
   exact tsum_const_smul'' _
 
-/-- Automorphization of a function into an `R`-`module` distributes, that is, commutes with the
+/-- Automorphization of a function into an `R`-`Module` distributes, that is, commutes with the
 `R`-scalar multiplication. -/
 lemma AddAction.automorphize_smul_left [AddGroup α] [AddAction α β]  (f : β → M)
     (g : Quotient (AddAction.orbitRel α β) → R) :
@@ -262,7 +262,7 @@ variable {G : Type*} [Group G] {Γ : Subgroup G}
   `g ↦ ∑' (γ : Γ), f(γ • g)`."]
 noncomputable def QuotientGroup.automorphize  (f : G → M) : G ⧸ Γ → M := MulAction.automorphize f
 
-/-- Automorphization of a function into an `R`-`module` distributes, that is, commutes with the
+/-- Automorphization of a function into an `R`-`Module` distributes, that is, commutes with the
 `R`-scalar multiplication. -/
 lemma QuotientGroup.automorphize_smul_left (f : G → M) (g : G ⧸ Γ → R) :
     (QuotientGroup.automorphize ((g ∘ (@Quotient.mk' _ (_)) : G → R) • f) : G ⧸ Γ → M)
@@ -275,7 +275,7 @@ section
 
 variable {G : Type*} [AddGroup G] {Γ : AddSubgroup G}
 
-/-- Automorphization of a function into an `R`-`module` distributes, that is, commutes with the
+/-- Automorphization of a function into an `R`-`Module` distributes, that is, commutes with the
 `R`-scalar multiplication. -/
 lemma QuotientAddGroup.automorphize_smul_left (f : G → M) (g : G ⧸ Γ → R) :
     QuotientAddGroup.automorphize ((g ∘ (@Quotient.mk' _ (_))) • f)

Split up Mathlib.Topology.Algebra.InfiniteSum.Basic (1600 lines) into smaller files.

@@ -3,13 +3,63 @@ Copyright (c) 2020 Heather Macbeth. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Heather Macbeth, Yury Kudryashov, Frédéric Dupuis
 -/
-import Mathlib.Topology.Algebra.InfiniteSum.Basic
+import Mathlib.Topology.Algebra.InfiniteSum.Constructions
 import Mathlib.Topology.Algebra.Module.Basic
 
 #align_import topology.algebra.infinite_sum.module from "leanprover-community/mathlib"@"32253a1a1071173b33dc7d6a218cf722c6feb514"
 
 /-! # Infinite sums in topological vector spaces -/
 
+variable {α β γ δ : Type*}
+
+open Filter Finset Function
+
+section ConstSMul
+
+variable [Monoid γ] [TopologicalSpace α] [AddCommMonoid α] [DistribMulAction γ α]
+  [ContinuousConstSMul γ α] {f : β → α}
+
+theorem HasSum.const_smul {a : α} (b : γ) (hf : HasSum f a) : HasSum (fun i ↦ b • f i) (b • a) :=
+  hf.map (DistribMulAction.toAddMonoidHom α _) <| continuous_const_smul _
+#align has_sum.const_smul HasSum.const_smul
+
+theorem Summable.const_smul (b : γ) (hf : Summable f) : Summable fun i ↦ b • f i :=
+  (hf.hasSum.const_smul _).summable
+#align summable.const_smul Summable.const_smul
+
+/-- Infinite sums commute with scalar multiplication. Version for scalars living in a `Monoid`, but
+  requiring a summability hypothesis. -/
+theorem tsum_const_smul [T2Space α] (b : γ) (hf : Summable f) : ∑' i, b • f i = b • ∑' i, f i :=
+  (hf.hasSum.const_smul _).tsum_eq
+#align tsum_const_smul tsum_const_smul
+
+/-- Infinite sums commute with scalar multiplication. Version for scalars living in a `Group`, but
+  not requiring any summability hypothesis. -/
+lemma tsum_const_smul' {γ : Type*} [Group γ] [DistribMulAction γ α] [ContinuousConstSMul γ α]
+    [T2Space α] (g : γ) : ∑' (i : β), g • f i = g • ∑' (i : β), f i := by
+  by_cases hf : Summable f
+  · exact tsum_const_smul g hf
+  rw [tsum_eq_zero_of_not_summable hf]
+  simp only [smul_zero]
+  let mul_g : α ≃+ α := DistribMulAction.toAddEquiv α g
+  apply tsum_eq_zero_of_not_summable
+  change ¬ Summable (mul_g ∘ f)
+  rwa [Summable.map_iff_of_equiv mul_g]
+  · apply continuous_const_smul
+  · apply continuous_const_smul
+
+/-- Infinite sums commute with scalar multiplication. Version for scalars living in a
+  `DivisionRing`; no summability hypothesis. This could be made to work for a
+  `[GroupWithZero γ]` if there was such a thing as `DistribMulActionWithZero`. -/
+lemma tsum_const_smul'' {γ : Type*} [DivisionRing γ] [Module γ α] [ContinuousConstSMul γ α]
+    [T2Space α] (g : γ) : ∑' (i : β), g • f i = g • ∑' (i : β), f i := by
+  rcases eq_or_ne g 0 with rfl | hg
+  · simp
+  · exact tsum_const_smul' (Units.mk0 g hg)
+
+end ConstSMul
+
+
 
 variable {ι κ R R₂ M M₂ : Type*}
 
@@ -18,11 +68,11 @@ section SMulConst
 variable [Semiring R] [TopologicalSpace R] [TopologicalSpace M] [AddCommMonoid M] [Module R M]
   [ContinuousSMul R M] {f : ι → R}
 
-theorem HasSum.smul_const {r : R} (hf : HasSum f r) (a : M) : HasSum (fun z => f z • a) (r • a) :=
+theorem HasSum.smul_const {r : R} (hf : HasSum f r) (a : M) : HasSum (fun z ↦ f z • a) (r • a) :=
   hf.map ((smulAddHom R M).flip a) (continuous_id.smul continuous_const)
 #align has_sum.smul_const HasSum.smul_const
 
-theorem Summable.smul_const (hf : Summable f) (a : M) : Summable fun z => f z • a :=
+theorem Summable.smul_const (hf : Summable f) (a : M) : Summable fun z ↦ f z • a :=
   (hf.hasSum.smul_const _).summable
 #align summable.smul_const Summable.smul_const
 
@@ -44,21 +94,21 @@ variable [ContinuousAdd M] [ContinuousSMul R M]
 variable {f : ι → R} {g : κ → M} {s : R} {t u : M}
 
 theorem HasSum.smul_eq (hf : HasSum f s) (hg : HasSum g t)
-    (hfg : HasSum (fun x : ι × κ => f x.1 • g x.2) u) : s • t = u :=
-  have key₁ : HasSum (fun i => f i • t) (s • t) := hf.smul_const t
-  have this : ∀ i : ι, HasSum (fun c : κ => f i • g c) (f i • t) := fun i => hg.const_smul (f i)
-  have key₂ : HasSum (fun i => f i • t) u := HasSum.prod_fiberwise hfg this
+    (hfg : HasSum (fun x : ι × κ ↦ f x.1 • g x.2) u) : s • t = u :=
+  have key₁ : HasSum (fun i ↦ f i • t) (s • t) := hf.smul_const t
+  have this : ∀ i : ι, HasSum (fun c : κ ↦ f i • g c) (f i • t) := fun i ↦ hg.const_smul (f i)
+  have key₂ : HasSum (fun i ↦ f i • t) u := HasSum.prod_fiberwise hfg this
   key₁.unique key₂
 
 theorem HasSum.smul (hf : HasSum f s) (hg : HasSum g t)
-    (hfg : Summable fun x : ι × κ => f x.1 • g x.2) :
-    HasSum (fun x : ι × κ => f x.1 • g x.2) (s • t) :=
+    (hfg : Summable fun x : ι × κ ↦ f x.1 • g x.2) :
+    HasSum (fun x : ι × κ ↦ f x.1 • g x.2) (s • t) :=
   let ⟨_u, hu⟩ := hfg
   (hf.smul_eq hg hu).symm ▸ hu
 
 /-- Scalar product of two infinites sums indexed by arbitrary types. -/
 theorem tsum_smul_tsum (hf : Summable f) (hg : Summable g)
-    (hfg : Summable fun x : ι × κ => f x.1 • g x.2) :
+    (hfg : Summable fun x : ι × κ ↦ f x.1 • g x.2) :
     ((∑' x, f x) • ∑' y, g y) = ∑' z : ι × κ, f z.1 • g z.2 :=
   hf.hasSum.smul_eq hg.hasSum hfg.hasSum
 
@@ -74,7 +124,7 @@ variable [Semiring R] [Semiring R₂] [AddCommMonoid M] [Module R M] [AddCommMon
 
 /-- Applying a continuous linear map commutes with taking an (infinite) sum. -/
 protected theorem ContinuousLinearMap.hasSum {f : ι → M} (φ : M →SL[σ] M₂) {x : M}
-    (hf : HasSum f x) : HasSum (fun b : ι => φ (f b)) (φ x) := by
+    (hf : HasSum f x) : HasSum (fun b : ι ↦ φ (f b)) (φ x) := by
   simpa only using hf.map φ.toLinearMap.toAddMonoidHom φ.continuous
 #align continuous_linear_map.has_sum ContinuousLinearMap.hasSum
 
@@ -83,7 +133,7 @@ set_option linter.uppercaseLean3 false in
 #align has_sum.mapL HasSum.mapL
 
 protected theorem ContinuousLinearMap.summable {f : ι → M} (φ : M →SL[σ] M₂) (hf : Summable f) :
-    Summable fun b : ι => φ (f b) :=
+    Summable fun b : ι ↦ φ (f b) :=
   (hf.hasSum.mapL φ).summable
 #align continuous_linear_map.summable ContinuousLinearMap.summable
 
@@ -98,34 +148,34 @@ protected theorem ContinuousLinearMap.map_tsum [T2Space M₂] {f : ι → M} (φ
 
 /-- Applying a continuous linear map commutes with taking an (infinite) sum. -/
 protected theorem ContinuousLinearEquiv.hasSum {f : ι → M} (e : M ≃SL[σ] M₂) {y : M₂} :
-    HasSum (fun b : ι => e (f b)) y ↔ HasSum f (e.symm y) :=
-  ⟨fun h => by simpa only [e.symm.coe_coe, e.symm_apply_apply] using h.mapL (e.symm : M₂ →SL[σ'] M),
-    fun h => by simpa only [e.coe_coe, e.apply_symm_apply] using (e : M →SL[σ] M₂).hasSum h⟩
+    HasSum (fun b : ι ↦ e (f b)) y ↔ HasSum f (e.symm y) :=
+  ⟨fun h ↦ by simpa only [e.symm.coe_coe, e.symm_apply_apply] using h.mapL (e.symm : M₂ →SL[σ'] M),
+    fun h ↦ by simpa only [e.coe_coe, e.apply_symm_apply] using (e : M →SL[σ] M₂).hasSum h⟩
 #align continuous_linear_equiv.has_sum ContinuousLinearEquiv.hasSum
 
 /-- Applying a continuous linear map commutes with taking an (infinite) sum. -/
 protected theorem ContinuousLinearEquiv.hasSum' {f : ι → M} (e : M ≃SL[σ] M₂) {x : M} :
-    HasSum (fun b : ι => e (f b)) (e x) ↔ HasSum f x := by
+    HasSum (fun b : ι ↦ e (f b)) (e x) ↔ HasSum f x := by
   rw [e.hasSum, ContinuousLinearEquiv.symm_apply_apply]
 #align continuous_linear_equiv.has_sum' ContinuousLinearEquiv.hasSum'
 
 protected theorem ContinuousLinearEquiv.summable {f : ι → M} (e : M ≃SL[σ] M₂) :
-    (Summable fun b : ι => e (f b)) ↔ Summable f :=
-  ⟨fun hf => (e.hasSum.1 hf.hasSum).summable, (e : M →SL[σ] M₂).summable⟩
+    (Summable fun b : ι ↦ e (f b)) ↔ Summable f :=
+  ⟨fun hf ↦ (e.hasSum.1 hf.hasSum).summable, (e : M →SL[σ] M₂).summable⟩
 #align continuous_linear_equiv.summable ContinuousLinearEquiv.summable
 
 theorem ContinuousLinearEquiv.tsum_eq_iff [T2Space M] [T2Space M₂] {f : ι → M} (e : M ≃SL[σ] M₂)
     {y : M₂} : (∑' z, e (f z)) = y ↔ ∑' z, f z = e.symm y := by
   by_cases hf : Summable f
   · exact
-      ⟨fun h => (e.hasSum.mp ((e.summable.mpr hf).hasSum_iff.mpr h)).tsum_eq, fun h =>
+      ⟨fun h ↦ (e.hasSum.mp ((e.summable.mpr hf).hasSum_iff.mpr h)).tsum_eq, fun h ↦
         (e.hasSum.mpr (hf.hasSum_iff.mpr h)).tsum_eq⟩
-  · have hf' : ¬Summable fun z => e (f z) := fun h => hf (e.summable.mp h)
+  · have hf' : ¬Summable fun z ↦ e (f z) := fun h ↦ hf (e.summable.mp h)
     rw [tsum_eq_zero_of_not_summable hf, tsum_eq_zero_of_not_summable hf']
-    refine ⟨?_, fun H => ?_⟩
+    refine ⟨?_, fun H ↦ ?_⟩
     · rintro rfl
       simp
-    · simpa using congr_arg (fun z => e z) H
+    · simpa using congr_arg (fun z ↦ e z) H
 #align continuous_linear_equiv.tsum_eq_iff ContinuousLinearEquiv.tsum_eq_iff
 
 protected theorem ContinuousLinearEquiv.map_tsum [T2Space M] [T2Space M₂] {f : ι → M}
@@ -135,3 +185,106 @@ protected theorem ContinuousLinearEquiv.map_tsum [T2Space M] [T2Space M₂] {f :
 #align continuous_linear_equiv.map_tsum ContinuousLinearEquiv.map_tsum
 
 end HasSum
+
+
+
+section automorphize
+
+variable {M : Type*} [TopologicalSpace M] [AddCommMonoid M] [T2Space M] {R : Type*}
+  [DivisionRing R] [Module R M] [ContinuousConstSMul R M]
+
+/-- Given a group `α` acting on a type `β`, and a function `f : β → M`, we "automorphize" `f` to a
+  function `β ⧸ α → M` by summing over `α` orbits, `b ↦ ∑' (a : α), f(a • b)`. -/
+@[to_additive "Given an additive group `α` acting on a type `β`, and a function `f : β → M`,
+  we automorphize `f` to a function `β ⧸ α → M` by summing over `α` orbits,
+  `b ↦ ∑' (a : α), f(a • b)`."]
+noncomputable def MulAction.automorphize [Group α] [MulAction α β] (f : β → M) :
+    Quotient (MulAction.orbitRel α β) → M := by
+  refine @Quotient.lift _ _ (_) (fun b ↦ ∑' (a : α), f (a • b)) ?_
+  intro b₁ b₂ ⟨a, (ha : a • b₂ = b₁)⟩
+  simp only
+  rw [← ha]
+  convert (Equiv.mulRight a).tsum_eq (fun a' ↦ f (a' • b₂)) using 1
+  simp only [Equiv.coe_mulRight]
+  congr
+  ext
+  congr 1
+  simp only [mul_smul]
+
+/-- Automorphization of a function into an `R`-`module` distributes, that is, commutes with the
+`R`-scalar multiplication. -/
+lemma MulAction.automorphize_smul_left [Group α] [MulAction α β] (f : β → M)
+    (g : Quotient (MulAction.orbitRel α β) → R) :
+    MulAction.automorphize ((g ∘ (@Quotient.mk' _ (_))) • f)
+      = g • (MulAction.automorphize f : Quotient (MulAction.orbitRel α β) → M) := by
+  ext x
+  apply @Quotient.inductionOn' β (MulAction.orbitRel α β) _ x _
+  intro b
+  simp only [automorphize, Pi.smul_apply', comp_apply]
+  set π : β → Quotient (MulAction.orbitRel α β) := Quotient.mk (MulAction.orbitRel α β)
+  have H₁ : ∀ a : α, π (a • b) = π b := by
+    intro a
+    apply (@Quotient.eq _ (MulAction.orbitRel α β) (a • b) b).mpr
+    use a
+  change ∑' a : α, g (π (a • b)) • f (a • b) = g (π b) • ∑' a : α, f (a • b)
+  simp_rw [H₁]
+  exact tsum_const_smul'' _
+
+/-- Automorphization of a function into an `R`-`module` distributes, that is, commutes with the
+`R`-scalar multiplication. -/
+lemma AddAction.automorphize_smul_left [AddGroup α] [AddAction α β]  (f : β → M)
+    (g : Quotient (AddAction.orbitRel α β) → R) :
+    AddAction.automorphize ((g ∘ (@Quotient.mk' _ (_))) • f)
+      = g • (AddAction.automorphize f : Quotient (AddAction.orbitRel α β) → M) := by
+  ext x
+  apply @Quotient.inductionOn' β (AddAction.orbitRel α β) _ x _
+  intro b
+  simp only [automorphize, Pi.smul_apply', comp_apply]
+  set π : β → Quotient (AddAction.orbitRel α β) := Quotient.mk (AddAction.orbitRel α β)
+  have H₁ : ∀ a : α, π (a +ᵥ b) = π b := by
+    intro a
+    apply (@Quotient.eq _ (AddAction.orbitRel α β) (a +ᵥ b) b).mpr
+    use a
+  change ∑' a : α, g (π (a +ᵥ b)) • f (a +ᵥ b) = g (π b) • ∑' a : α, f (a +ᵥ b)
+  simp_rw [H₁]
+  exact tsum_const_smul'' _
+
+attribute [to_additive existing MulAction.automorphize_smul_left] AddAction.automorphize_smul_left
+
+section
+
+variable {G : Type*} [Group G] {Γ : Subgroup G}
+
+/-- Given a subgroup `Γ` of a group `G`, and a function `f : G → M`, we "automorphize" `f` to a
+  function `G ⧸ Γ → M` by summing over `Γ` orbits, `g ↦ ∑' (γ : Γ), f(γ • g)`. -/
+@[to_additive "Given a subgroup `Γ` of an additive group `G`, and a function `f : G → M`, we
+  automorphize `f` to a function `G ⧸ Γ → M` by summing over `Γ` orbits,
+  `g ↦ ∑' (γ : Γ), f(γ • g)`."]
+noncomputable def QuotientGroup.automorphize  (f : G → M) : G ⧸ Γ → M := MulAction.automorphize f
+
+/-- Automorphization of a function into an `R`-`module` distributes, that is, commutes with the
+`R`-scalar multiplication. -/
+lemma QuotientGroup.automorphize_smul_left (f : G → M) (g : G ⧸ Γ → R) :
+    (QuotientGroup.automorphize ((g ∘ (@Quotient.mk' _ (_)) : G → R) • f) : G ⧸ Γ → M)
+      = g • (QuotientGroup.automorphize f : G ⧸ Γ → M) :=
+  MulAction.automorphize_smul_left f g
+
+end
+
+section
+
+variable {G : Type*} [AddGroup G] {Γ : AddSubgroup G}
+
+/-- Automorphization of a function into an `R`-`module` distributes, that is, commutes with the
+`R`-scalar multiplication. -/
+lemma QuotientAddGroup.automorphize_smul_left (f : G → M) (g : G ⧸ Γ → R) :
+    QuotientAddGroup.automorphize ((g ∘ (@Quotient.mk' _ (_))) • f)
+      = g • (QuotientAddGroup.automorphize f : G ⧸ Γ → M) :=
+  AddAction.automorphize_smul_left f g
+
+end
+
+attribute [to_additive existing QuotientGroup.automorphize_smul_left]
+  QuotientAddGroup.automorphize_smul_left
+
+end automorphize

These proofs and statements are copied from the mul proofs. We can't prove the mul lemmas in terms of smul since Module doesn't work for non-associative rings.

@@ -11,7 +11,7 @@ import Mathlib.Topology.Algebra.Module.Basic
 /-! # Infinite sums in topological vector spaces -/
 
 
-variable {ι R R₂ M M₂ : Type*}
+variable {ι κ R R₂ M M₂ : Type*}
 
 section SMulConst
 
@@ -32,6 +32,38 @@ theorem tsum_smul_const [T2Space M] (hf : Summable f) (a : M) : ∑' z, f z •
 
 end SMulConst
 
+/-!
+Note we cannot derive the `mul` lemmas from these `smul` lemmas, as the `mul` versions do not
+require associativity, but `Module` does.
+-/
+section tsum_smul_tsum
+
+variable [Semiring R] [AddCommMonoid M] [Module R M]
+variable [TopologicalSpace R] [TopologicalSpace M] [T3Space M]
+variable [ContinuousAdd M] [ContinuousSMul R M]
+variable {f : ι → R} {g : κ → M} {s : R} {t u : M}
+
+theorem HasSum.smul_eq (hf : HasSum f s) (hg : HasSum g t)
+    (hfg : HasSum (fun x : ι × κ => f x.1 • g x.2) u) : s • t = u :=
+  have key₁ : HasSum (fun i => f i • t) (s • t) := hf.smul_const t
+  have this : ∀ i : ι, HasSum (fun c : κ => f i • g c) (f i • t) := fun i => hg.const_smul (f i)
+  have key₂ : HasSum (fun i => f i • t) u := HasSum.prod_fiberwise hfg this
+  key₁.unique key₂
+
+theorem HasSum.smul (hf : HasSum f s) (hg : HasSum g t)
+    (hfg : Summable fun x : ι × κ => f x.1 • g x.2) :
+    HasSum (fun x : ι × κ => f x.1 • g x.2) (s • t) :=
+  let ⟨_u, hu⟩ := hfg
+  (hf.smul_eq hg hu).symm ▸ hu
+
+/-- Scalar product of two infinites sums indexed by arbitrary types. -/
+theorem tsum_smul_tsum (hf : Summable f) (hg : Summable g)
+    (hfg : Summable fun x : ι × κ => f x.1 • g x.2) :
+    ((∑' x, f x) • ∑' y, g y) = ∑' z : ι × κ, f z.1 • g z.2 :=
+  hf.hasSum.smul_eq hg.hasSum hfg.hasSum
+
+end tsum_smul_tsum
+
 section HasSum
 
 -- Results in this section hold for continuous additive monoid homomorphisms or equivalences but we

Normalising to naming convention rule number 6.

@@ -13,7 +13,7 @@ import Mathlib.Topology.Algebra.Module.Basic
 
 variable {ι R R₂ M M₂ : Type*}
 
-section SmulConst
+section SMulConst
 
 variable [Semiring R] [TopologicalSpace R] [TopologicalSpace M] [AddCommMonoid M] [Module R M]
   [ContinuousSMul R M] {f : ι → R}
@@ -30,7 +30,7 @@ theorem tsum_smul_const [T2Space M] (hf : Summable f) (a : M) : ∑' z, f z •
   (hf.hasSum.smul_const _).tsum_eq
 #align tsum_smul_const tsum_smul_const
 
-end SmulConst
+end SMulConst
 
 section HasSum
 

@@ -46,7 +46,7 @@ protected theorem ContinuousLinearMap.hasSum {f : ι → M} (φ : M →SL[σ] M
   simpa only using hf.map φ.toLinearMap.toAddMonoidHom φ.continuous
 #align continuous_linear_map.has_sum ContinuousLinearMap.hasSum
 
-alias ContinuousLinearMap.hasSum ← HasSum.mapL
+alias HasSum.mapL := ContinuousLinearMap.hasSum
 set_option linter.uppercaseLean3 false in
 #align has_sum.mapL HasSum.mapL
 
@@ -55,7 +55,7 @@ protected theorem ContinuousLinearMap.summable {f : ι → M} (φ : M →SL[σ]
   (hf.hasSum.mapL φ).summable
 #align continuous_linear_map.summable ContinuousLinearMap.summable
 
-alias ContinuousLinearMap.summable ← Summable.mapL
+alias Summable.mapL := ContinuousLinearMap.summable
 set_option linter.uppercaseLean3 false in
 #align summable.mapL Summable.mapL
 

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

This has nice performance benefits.

@@ -11,7 +11,7 @@ import Mathlib.Topology.Algebra.Module.Basic
 /-! # Infinite sums in topological vector spaces -/
 
 
-variable {ι R R₂ M M₂ : Type _}
+variable {ι R R₂ M M₂ : Type*}
 
 section SmulConst
 

• depends on: #5966

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

@@ -2,15 +2,12 @@
 Copyright (c) 2020 Heather Macbeth. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Heather Macbeth, Yury Kudryashov, Frédéric Dupuis
-
-! This file was ported from Lean 3 source module topology.algebra.infinite_sum.module
-! leanprover-community/mathlib commit 32253a1a1071173b33dc7d6a218cf722c6feb514
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Topology.Algebra.InfiniteSum.Basic
 import Mathlib.Topology.Algebra.Module.Basic
 
+#align_import topology.algebra.infinite_sum.module from "leanprover-community/mathlib"@"32253a1a1071173b33dc7d6a218cf722c6feb514"
+
 /-! # Infinite sums in topological vector spaces -/
 
 

• Also remove most superfluous parentheses around big operators (∑, ∏ and variants).
• roughly the used regex: ([^a-zA-Zα-ωΑ-Ω'𝓝ℳ₀𝕂ₛ)]) \(([∑∏][^()∑∏]*,[^()∑∏:]*)\) ([⊂⊆=<≤]) replaced by $1 $2 $3

@@ -29,7 +29,7 @@ theorem Summable.smul_const (hf : Summable f) (a : M) : Summable fun z => f z 
   (hf.hasSum.smul_const _).summable
 #align summable.smul_const Summable.smul_const
 
-theorem tsum_smul_const [T2Space M] (hf : Summable f) (a : M) : (∑' z, f z • a) = (∑' z, f z) • a :=
+theorem tsum_smul_const [T2Space M] (hf : Summable f) (a : M) : ∑' z, f z • a = (∑' z, f z) • a :=
   (hf.hasSum.smul_const _).tsum_eq
 #align tsum_smul_const tsum_smul_const
 
@@ -86,7 +86,7 @@ protected theorem ContinuousLinearEquiv.summable {f : ι → M} (e : M ≃SL[σ]
 #align continuous_linear_equiv.summable ContinuousLinearEquiv.summable
 
 theorem ContinuousLinearEquiv.tsum_eq_iff [T2Space M] [T2Space M₂] {f : ι → M} (e : M ≃SL[σ] M₂)
-    {y : M₂} : (∑' z, e (f z)) = y ↔ (∑' z, f z) = e.symm y := by
+    {y : M₂} : (∑' z, e (f z)) = y ↔ ∑' z, f z = e.symm y := by
   by_cases hf : Summable f
   · exact
       ⟨fun h => (e.hasSum.mp ((e.summable.mpr hf).hasSum_iff.mpr h)).tsum_eq, fun h =>

@@ -75,10 +75,10 @@ protected theorem ContinuousLinearEquiv.hasSum {f : ι → M} (e : M ≃SL[σ] M
 #align continuous_linear_equiv.has_sum ContinuousLinearEquiv.hasSum
 
 /-- Applying a continuous linear map commutes with taking an (infinite) sum. -/
-protected theorem ContinuousLinearEquiv.has_sum' {f : ι → M} (e : M ≃SL[σ] M₂) {x : M} :
+protected theorem ContinuousLinearEquiv.hasSum' {f : ι → M} (e : M ≃SL[σ] M₂) {x : M} :
     HasSum (fun b : ι => e (f b)) (e x) ↔ HasSum f x := by
   rw [e.hasSum, ContinuousLinearEquiv.symm_apply_apply]
-#align continuous_linear_equiv.has_sum' ContinuousLinearEquiv.has_sum'
+#align continuous_linear_equiv.has_sum' ContinuousLinearEquiv.hasSum'
 
 protected theorem ContinuousLinearEquiv.summable {f : ι → M} (e : M ≃SL[σ] M₂) :
     (Summable fun b : ι => e (f b)) ↔ Summable f :=
@@ -93,10 +93,10 @@ theorem ContinuousLinearEquiv.tsum_eq_iff [T2Space M] [T2Space M₂] {f : ι →
         (e.hasSum.mpr (hf.hasSum_iff.mpr h)).tsum_eq⟩
   · have hf' : ¬Summable fun z => e (f z) := fun h => hf (e.summable.mp h)
     rw [tsum_eq_zero_of_not_summable hf, tsum_eq_zero_of_not_summable hf']
-    exact
-      ⟨by
-        rintro rfl
-        simp, fun H => by simpa using congr_arg (fun z => e z) H⟩
+    refine ⟨?_, fun H => ?_⟩
+    · rintro rfl
+      simp
+    · simpa using congr_arg (fun z => e z) H
 #align continuous_linear_equiv.tsum_eq_iff ContinuousLinearEquiv.tsum_eq_iff
 
 protected theorem ContinuousLinearEquiv.map_tsum [T2Space M] [T2Space M₂] {f : ι → M}

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