algebra.lie.tensor_product | Mathlib porting status

Changes since the initial port

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.

Changes in mathlib3

657df433

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

575b4ea3

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,7 +3,7 @@ Copyright (c) 2021 Oliver Nash. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Oliver Nash
 -/
-import Mathbin.Algebra.Lie.Abelian
+import Algebra.Lie.Abelian
 
 #align_import algebra.lie.tensor_product from "leanprover-community/mathlib"@"575b4ea3738b017e30fb205cb9b4a8742e5e82b6"

575b4ea3

bump to nightly-2023-08-02-01

mathlib commit https://github.com/leanprover-community/mathlib/commit/63721b2c3eba6c325ecf8ae8cca27155a4f6306f

7aca3f15

Diff

@@ -270,9 +270,9 @@ theorem lieIdeal_oper_eq_tensor_map_range :
     TensorProduct.map_range_eq_span_tmul, Submodule.map_span]
   congr; ext m; constructor
   · rintro ⟨⟨x, hx⟩, ⟨n, hn⟩, rfl⟩; use x ⊗ₜ n; constructor
-    · use ⟨x, hx⟩, ⟨n, hn⟩; simp
+    · use⟨x, hx⟩, ⟨n, hn⟩; simp
     · simp
-  · rintro ⟨t, ⟨⟨x, hx⟩, ⟨n, hn⟩, rfl⟩, h⟩; rw [← h]; use ⟨x, hx⟩, ⟨n, hn⟩; simp
+  · rintro ⟨t, ⟨⟨x, hx⟩, ⟨n, hn⟩, rfl⟩, h⟩; rw [← h]; use⟨x, hx⟩, ⟨n, hn⟩; simp
 #align lie_submodule.lie_ideal_oper_eq_tensor_map_range LieSubmodule.lieIdeal_oper_eq_tensor_map_range
 -/

575b4ea3

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,14 +2,11 @@
 Copyright (c) 2021 Oliver Nash. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Oliver Nash
-
-! This file was ported from Lean 3 source module algebra.lie.tensor_product
-! leanprover-community/mathlib commit 575b4ea3738b017e30fb205cb9b4a8742e5e82b6
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Lie.Abelian
 
+#align_import algebra.lie.tensor_product from "leanprover-community/mathlib"@"575b4ea3738b017e30fb205cb9b4a8742e5e82b6"
+
 /-!
 # Tensor products of Lie modules

575b4ea3

bump to nightly-2023-06-20-01

mathlib commit https://github.com/leanprover-community/mathlib/commit/2a0ce625dbb0ffbc7d1316597de0b25c1ec75303

9b351f8c

Diff

@@ -76,7 +76,7 @@ instance lieRingModule : LieRingModule L (M ⊗[R] N)
       (has_bracket_aux x).comp (has_bracket_aux y) =
         has_bracket_aux ⁅x, y⁆ + (has_bracket_aux y).comp (has_bracket_aux x)
       by simp only [← LinearMap.add_apply]; rw [← LinearMap.comp_apply, this]; rfl
-    ext (m n)
+    ext m n
     simp only [has_bracket_aux, LieRing.of_associative_ring_bracket, LinearMap.mul_apply, mk_apply,
       LinearMap.lTensor_sub, LinearMap.compr₂_apply, Function.comp_apply, LinearMap.coe_comp,
       LinearMap.rTensor_tmul, LieHom.map_lie, to_endomorphism_apply_apply, LinearMap.add_apply,
@@ -114,7 +114,7 @@ tensor-hom adjunction is equivariant with respect to the `L` action. -/
 def lift : (M →ₗ[R] N →ₗ[R] P) ≃ₗ⁅R,L⁆ M ⊗[R] N →ₗ[R] P :=
   { TensorProduct.lift.equiv R M N P with
     map_lie' := fun x f => by
-      ext (m n);
+      ext m n;
       simp only [mk_apply, LinearMap.compr₂_apply, lie_tmul_right, LinearMap.sub_apply,
         lift.equiv_apply, LinearEquiv.toFun_eq_coe, LieHom.lie_apply, LinearMap.map_add]
       abel }
@@ -146,7 +146,7 @@ theorem coe_liftLie_eq_lift_coe (f : M →ₗ⁅R,L⁆ N →ₗ[R] P) :
   by
   suffices (lift_lie R L M N P f : M ⊗[R] N →ₗ[R] P) = lift R L M N P f by
     rw [← this, LieModuleHom.coe_toLinearMap]
-  ext (m n)
+  ext m n
   simp only [lift_lie, LinearEquiv.trans_apply, LieModuleEquiv.coe_to_linearEquiv,
     coe_linear_map_max_triv_linear_map_equiv_lie_module_hom, coe_max_triv_equiv_apply,
     coe_linear_map_max_triv_linear_map_equiv_lie_module_hom_symm]

575b4ea3

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -50,12 +50,14 @@ variable [AddCommGroup Q] [Module R Q] [LieRingModule L Q] [LieModule R L Q]
 
 attribute [local ext] TensorProduct.ext
 
+#print TensorProduct.LieModule.hasBracketAux /-
 /-- It is useful to define the bracket via this auxiliary function so that we have a type-theoretic
 expression of the fact that `L` acts by linear endomorphisms. It simplifies the proofs in
 `lie_ring_module` below. -/
 def hasBracketAux (x : L) : Module.End R (M ⊗[R] N) :=
   (toEndomorphism R L M x).rTensor N + (toEndomorphism R L N x).lTensor M
 #align tensor_product.lie_module.has_bracket_aux TensorProduct.LieModule.hasBracketAux
+-/
 
 #print TensorProduct.LieModule.lieRingModule /-
 /-- The tensor product of two Lie modules is a Lie ring module. -/
@@ -83,6 +85,7 @@ instance lieRingModule : LieRingModule L (M ⊗[R] N)
 #align tensor_product.lie_module.lie_ring_module TensorProduct.LieModule.lieRingModule
 -/
 
+#print TensorProduct.LieModule.lieModule /-
 /-- The tensor product of two Lie modules is a Lie module. -/
 instance lieModule : LieModule R L (M ⊗[R] N)
     where
@@ -92,13 +95,16 @@ instance lieModule : LieModule R L (M ⊗[R] N)
       LinearMap.lTensor_smul, LieHom.map_smul, LinearMap.add_apply]
   lie_smul c x := LinearMap.map_smul _ c
 #align tensor_product.lie_module.lie_module TensorProduct.LieModule.lieModule
+-/
 
+#print TensorProduct.LieModule.lie_tmul_right /-
 @[simp]
 theorem lie_tmul_right (x : L) (m : M) (n : N) : ⁅x, m ⊗ₜ[R] n⁆ = ⁅x, m⁆ ⊗ₜ n + m ⊗ₜ ⁅x, n⁆ :=
   show hasBracketAux x (m ⊗ₜ[R] n) = _ by
     simp only [has_bracket_aux, LinearMap.rTensor_tmul, to_endomorphism_apply_apply,
       LinearMap.add_apply, LinearMap.lTensor_tmul]
 #align tensor_product.lie_module.lie_tmul_right TensorProduct.LieModule.lie_tmul_right
+-/
 
 variable (R L M N P Q)
 
@@ -115,10 +121,12 @@ def lift : (M →ₗ[R] N →ₗ[R] P) ≃ₗ⁅R,L⁆ M ⊗[R] N →ₗ[R] P :=
 #align tensor_product.lie_module.lift TensorProduct.LieModule.lift
 -/
 
+#print TensorProduct.LieModule.lift_apply /-
 @[simp]
 theorem lift_apply (f : M →ₗ[R] N →ₗ[R] P) (m : M) (n : N) : lift R L M N P f (m ⊗ₜ n) = f m n :=
   rfl
 #align tensor_product.lie_module.lift_apply TensorProduct.LieModule.lift_apply
+-/
 
 #print TensorProduct.LieModule.liftLie /-
 /-- A weaker form of the universal property for tensor product of modules of a Lie algebra.

575b4ea3

bump to nightly-2023-06-07-23

mathlib commit https://github.com/leanprover-community/mathlib/commit/58a272265b5e05f258161260dd2c5d247213cbd3

c2a08841

Diff

@@ -115,12 +115,10 @@ def lift : (M →ₗ[R] N →ₗ[R] P) ≃ₗ⁅R,L⁆ M ⊗[R] N →ₗ[R] P :=
 #align tensor_product.lie_module.lift TensorProduct.LieModule.lift
 -/
 
-#print TensorProduct.LieModule.lift_apply /-
 @[simp]
 theorem lift_apply (f : M →ₗ[R] N →ₗ[R] P) (m : M) (n : N) : lift R L M N P f (m ⊗ₜ n) = f m n :=
   rfl
 #align tensor_product.lie_module.lift_apply TensorProduct.LieModule.lift_apply
--/
 
 #print TensorProduct.LieModule.liftLie /-
 /-- A weaker form of the universal property for tensor product of modules of a Lie algebra.

575b4ea3

bump to nightly-2023-06-06-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/a3209ddf94136d36e5e5c624b10b2a347cc9d090

90f9e14f

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Oliver Nash
 
 ! This file was ported from Lean 3 source module algebra.lie.tensor_product
-! leanprover-community/mathlib commit 657df4339ae6ceada048c8a2980fb10e393143ec
+! leanprover-community/mathlib commit 575b4ea3738b017e30fb205cb9b4a8742e5e82b6
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -13,6 +13,9 @@ import Mathbin.Algebra.Lie.Abelian
 /-!
 # Tensor products of Lie modules
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 Tensor products of Lie modules carry natural Lie module structures.
 
 ## Tags

657df433

bump to nightly-2023-06-04-18

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

3fb4268b

Diff

@@ -54,6 +54,7 @@ def hasBracketAux (x : L) : Module.End R (M ⊗[R] N) :=
   (toEndomorphism R L M x).rTensor N + (toEndomorphism R L N x).lTensor M
 #align tensor_product.lie_module.has_bracket_aux TensorProduct.LieModule.hasBracketAux
 
+#print TensorProduct.LieModule.lieRingModule /-
 /-- The tensor product of two Lie modules is a Lie ring module. -/
 instance lieRingModule : LieRingModule L (M ⊗[R] N)
     where
@@ -77,6 +78,7 @@ instance lieRingModule : LieRingModule L (M ⊗[R] N)
       LinearMap.map_add, LinearMap.rTensor_sub, LinearMap.sub_apply, LinearMap.lTensor_tmul]
     abel
 #align tensor_product.lie_module.lie_ring_module TensorProduct.LieModule.lieRingModule
+-/
 
 /-- The tensor product of two Lie modules is a Lie module. -/
 instance lieModule : LieModule R L (M ⊗[R] N)
@@ -97,6 +99,7 @@ theorem lie_tmul_right (x : L) (m : M) (n : N) : ⁅x, m ⊗ₜ[R] n⁆ = ⁅x,
 
 variable (R L M N P Q)
 
+#print TensorProduct.LieModule.lift /-
 /-- The universal property for tensor product of modules of a Lie algebra: the `R`-linear
 tensor-hom adjunction is equivariant with respect to the `L` action. -/
 def lift : (M →ₗ[R] N →ₗ[R] P) ≃ₗ⁅R,L⁆ M ⊗[R] N →ₗ[R] P :=
@@ -107,12 +110,16 @@ def lift : (M →ₗ[R] N →ₗ[R] P) ≃ₗ⁅R,L⁆ M ⊗[R] N →ₗ[R] P :=
         lift.equiv_apply, LinearEquiv.toFun_eq_coe, LieHom.lie_apply, LinearMap.map_add]
       abel }
 #align tensor_product.lie_module.lift TensorProduct.LieModule.lift
+-/
 
+#print TensorProduct.LieModule.lift_apply /-
 @[simp]
 theorem lift_apply (f : M →ₗ[R] N →ₗ[R] P) (m : M) (n : N) : lift R L M N P f (m ⊗ₜ n) = f m n :=
   rfl
 #align tensor_product.lie_module.lift_apply TensorProduct.LieModule.lift_apply
+-/
 
+#print TensorProduct.LieModule.liftLie /-
 /-- A weaker form of the universal property for tensor product of modules of a Lie algebra.
 
 Note that maps `f` of type `M →ₗ⁅R,L⁆ N →ₗ[R] P` are exactly those `R`-bilinear maps satisfying
@@ -121,26 +128,32 @@ def liftLie : (M →ₗ⁅R,L⁆ N →ₗ[R] P) ≃ₗ[R] M ⊗[R] N →ₗ⁅R,
   maxTrivLinearMapEquivLieModuleHom.symm ≪≫ₗ ↑(maxTrivEquiv (lift R L M N P)) ≪≫ₗ
     maxTrivLinearMapEquivLieModuleHom
 #align tensor_product.lie_module.lift_lie TensorProduct.LieModule.liftLie
+-/
 
+#print TensorProduct.LieModule.coe_liftLie_eq_lift_coe /-
 @[simp]
 theorem coe_liftLie_eq_lift_coe (f : M →ₗ⁅R,L⁆ N →ₗ[R] P) :
     ⇑(liftLie R L M N P f) = lift R L M N P f :=
   by
   suffices (lift_lie R L M N P f : M ⊗[R] N →ₗ[R] P) = lift R L M N P f by
-    rw [← this, LieModuleHom.coe_to_linearMap]
+    rw [← this, LieModuleHom.coe_toLinearMap]
   ext (m n)
   simp only [lift_lie, LinearEquiv.trans_apply, LieModuleEquiv.coe_to_linearEquiv,
     coe_linear_map_max_triv_linear_map_equiv_lie_module_hom, coe_max_triv_equiv_apply,
     coe_linear_map_max_triv_linear_map_equiv_lie_module_hom_symm]
 #align tensor_product.lie_module.coe_lift_lie_eq_lift_coe TensorProduct.LieModule.coe_liftLie_eq_lift_coe
+-/
 
+#print TensorProduct.LieModule.liftLie_apply /-
 theorem liftLie_apply (f : M →ₗ⁅R,L⁆ N →ₗ[R] P) (m : M) (n : N) :
     liftLie R L M N P f (m ⊗ₜ n) = f m n := by
-  simp only [coe_lift_lie_eq_lift_coe, LieModuleHom.coe_to_linearMap, lift_apply]
+  simp only [coe_lift_lie_eq_lift_coe, LieModuleHom.coe_toLinearMap, lift_apply]
 #align tensor_product.lie_module.lift_lie_apply TensorProduct.LieModule.liftLie_apply
+-/
 
 variable {R L M N P Q}
 
+#print TensorProduct.LieModule.map /-
 /-- A pair of Lie module morphisms `f : M → P` and `g : N → Q`, induce a Lie module morphism:
 `M ⊗ N → P ⊗ Q`. -/
 def map (f : M →ₗ⁅R,L⁆ P) (g : N →ₗ⁅R,L⁆ Q) : M ⊗[R] N →ₗ⁅R,L⁆ P ⊗[R] Q :=
@@ -150,33 +163,42 @@ def map (f : M →ₗ⁅R,L⁆ P) (g : N →ₗ⁅R,L⁆ Q) : M ⊗[R] N →ₗ
       apply t.induction_on
       · simp only [LinearMap.map_zero, lie_zero]
       · intro m n;
-        simp only [LieModuleHom.coe_to_linearMap, lie_tmul_right, LieModuleHom.map_lie, map_tmul,
+        simp only [LieModuleHom.coe_toLinearMap, lie_tmul_right, LieModuleHom.map_lie, map_tmul,
           LinearMap.map_add]
       · intro t₁ t₂ ht₁ ht₂; simp only [ht₁, ht₂, lie_add, LinearMap.map_add] }
 #align tensor_product.lie_module.map TensorProduct.LieModule.map
+-/
 
+#print TensorProduct.LieModule.coe_linearMap_map /-
 @[simp]
 theorem coe_linearMap_map (f : M →ₗ⁅R,L⁆ P) (g : N →ₗ⁅R,L⁆ Q) :
     (map f g : M ⊗[R] N →ₗ[R] P ⊗[R] Q) = TensorProduct.map (f : M →ₗ[R] P) (g : N →ₗ[R] Q) :=
   rfl
 #align tensor_product.lie_module.coe_linear_map_map TensorProduct.LieModule.coe_linearMap_map
+-/
 
+#print TensorProduct.LieModule.map_tmul /-
 @[simp]
 theorem map_tmul (f : M →ₗ⁅R,L⁆ P) (g : N →ₗ⁅R,L⁆ Q) (m : M) (n : N) :
     map f g (m ⊗ₜ n) = f m ⊗ₜ g n :=
   map_tmul f g m n
 #align tensor_product.lie_module.map_tmul TensorProduct.LieModule.map_tmul
+-/
 
+#print TensorProduct.LieModule.mapIncl /-
 /-- Given Lie submodules `M' ⊆ M` and `N' ⊆ N`, this is the natural map: `M' ⊗ N' → M ⊗ N`. -/
 def mapIncl (M' : LieSubmodule R L M) (N' : LieSubmodule R L N) : M' ⊗[R] N' →ₗ⁅R,L⁆ M ⊗[R] N :=
   map M'.incl N'.incl
 #align tensor_product.lie_module.map_incl TensorProduct.LieModule.mapIncl
+-/
 
+#print TensorProduct.LieModule.mapIncl_def /-
 @[simp]
 theorem mapIncl_def (M' : LieSubmodule R L M) (N' : LieSubmodule R L N) :
     mapIncl M' N' = map M'.incl N'.incl :=
   rfl
 #align tensor_product.lie_module.map_incl_def TensorProduct.LieModule.mapIncl_def
+-/
 
 end LieModule
 
@@ -192,18 +214,22 @@ variable [LieRing L] [LieAlgebra R L]
 
 variable [AddCommGroup M] [Module R M] [LieRingModule L M] [LieModule R L M]
 
+#print LieModule.toModuleHom /-
 /-- The action of the Lie algebra on one of its modules, regarded as a morphism of Lie modules. -/
 def toModuleHom : L ⊗[R] M →ₗ⁅R,L⁆ M :=
   TensorProduct.LieModule.liftLie R L L M M
     { (toEndomorphism R L M : L →ₗ[R] M →ₗ[R] M) with
       map_lie' := fun x m => by ext n; simp [LieRing.of_associative_ring_bracket] }
 #align lie_module.to_module_hom LieModule.toModuleHom
+-/
 
+#print LieModule.toModuleHom_apply /-
 @[simp]
 theorem toModuleHom_apply (x : L) (m : M) : toModuleHom R L M (x ⊗ₜ m) = ⁅x, m⁆ := by
   simp only [to_module_hom, TensorProduct.LieModule.liftLie_apply, to_endomorphism_apply_apply,
     LieHom.coe_toLinearMap, LieModuleHom.coe_mk, LinearMap.coe_mk, LinearMap.toFun_eq_coe]
 #align lie_module.to_module_hom_apply LieModule.toModuleHom_apply
+-/
 
 end LieModule
 
@@ -223,6 +249,7 @@ variable [AddCommGroup M] [Module R M] [LieRingModule L M] [LieModule R L M]
 
 variable (I : LieIdeal R L) (N : LieSubmodule R L M)
 
+#print LieSubmodule.lieIdeal_oper_eq_tensor_map_range /-
 /-- A useful alternative characterisation of Lie ideal operations on Lie submodules.
 
 Given a Lie ideal `I ⊆ L` and a Lie submodule `N ⊆ M`, by tensoring the inclusion maps and then
@@ -241,6 +268,7 @@ theorem lieIdeal_oper_eq_tensor_map_range :
     · simp
   · rintro ⟨t, ⟨⟨x, hx⟩, ⟨n, hn⟩, rfl⟩, h⟩; rw [← h]; use ⟨x, hx⟩, ⟨n, hn⟩; simp
 #align lie_submodule.lie_ideal_oper_eq_tensor_map_range LieSubmodule.lieIdeal_oper_eq_tensor_map_range
+-/
 
 end LieSubmodule

657df433

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -235,7 +235,7 @@ theorem lieIdeal_oper_eq_tensor_map_range :
   rw [← coe_to_submodule_eq_iff, lie_ideal_oper_eq_linear_span, LieModuleHom.coeSubmodule_range,
     LieModuleHom.coe_linearMap_comp, LinearMap.range_comp, map_incl_def, coe_linear_map_map,
     TensorProduct.map_range_eq_span_tmul, Submodule.map_span]
-  congr ; ext m; constructor
+  congr; ext m; constructor
   · rintro ⟨⟨x, hx⟩, ⟨n, hn⟩, rfl⟩; use x ⊗ₜ n; constructor
     · use ⟨x, hx⟩, ⟨n, hn⟩; simp
     · simp

657df433

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -29,7 +29,7 @@ open LieModule
 
 namespace TensorProduct
 
-open TensorProduct
+open scoped TensorProduct
 
 namespace LieModule
 
@@ -184,7 +184,7 @@ end TensorProduct
 
 namespace LieModule
 
-open TensorProduct
+open scoped TensorProduct
 
 variable (R) (L : Type v) (M : Type w)
 
@@ -209,7 +209,7 @@ end LieModule
 
 namespace LieSubmodule
 
-open TensorProduct
+open scoped TensorProduct
 
 open TensorProduct.LieModule

657df433

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -69,10 +69,7 @@ instance lieRingModule : LieRingModule L (M ⊗[R] N)
     suffices
       (has_bracket_aux x).comp (has_bracket_aux y) =
         has_bracket_aux ⁅x, y⁆ + (has_bracket_aux y).comp (has_bracket_aux x)
-      by
-      simp only [← LinearMap.add_apply]
-      rw [← LinearMap.comp_apply, this]
-      rfl
+      by simp only [← LinearMap.add_apply]; rw [← LinearMap.comp_apply, this]; rfl
     ext (m n)
     simp only [has_bracket_aux, LieRing.of_associative_ring_bracket, LinearMap.mul_apply, mk_apply,
       LinearMap.lTensor_sub, LinearMap.compr₂_apply, Function.comp_apply, LinearMap.coe_comp,
@@ -105,7 +102,7 @@ tensor-hom adjunction is equivariant with respect to the `L` action. -/
 def lift : (M →ₗ[R] N →ₗ[R] P) ≃ₗ⁅R,L⁆ M ⊗[R] N →ₗ[R] P :=
   { TensorProduct.lift.equiv R M N P with
     map_lie' := fun x f => by
-      ext (m n)
+      ext (m n);
       simp only [mk_apply, LinearMap.compr₂_apply, lie_tmul_right, LinearMap.sub_apply,
         lift.equiv_apply, LinearEquiv.toFun_eq_coe, LieHom.lie_apply, LinearMap.map_add]
       abel }
@@ -152,11 +149,10 @@ def map (f : M →ₗ⁅R,L⁆ P) (g : N →ₗ⁅R,L⁆ Q) : M ⊗[R] N →ₗ
       simp only [LinearMap.toFun_eq_coe]
       apply t.induction_on
       · simp only [LinearMap.map_zero, lie_zero]
-      · intro m n
+      · intro m n;
         simp only [LieModuleHom.coe_to_linearMap, lie_tmul_right, LieModuleHom.map_lie, map_tmul,
           LinearMap.map_add]
-      · intro t₁ t₂ ht₁ ht₂
-        simp only [ht₁, ht₂, lie_add, LinearMap.map_add] }
+      · intro t₁ t₂ ht₁ ht₂; simp only [ht₁, ht₂, lie_add, LinearMap.map_add] }
 #align tensor_product.lie_module.map TensorProduct.LieModule.map
 
 @[simp]
@@ -200,9 +196,7 @@ variable [AddCommGroup M] [Module R M] [LieRingModule L M] [LieModule R L M]
 def toModuleHom : L ⊗[R] M →ₗ⁅R,L⁆ M :=
   TensorProduct.LieModule.liftLie R L L M M
     { (toEndomorphism R L M : L →ₗ[R] M →ₗ[R] M) with
-      map_lie' := fun x m => by
-        ext n
-        simp [LieRing.of_associative_ring_bracket] }
+      map_lie' := fun x m => by ext n; simp [LieRing.of_associative_ring_bracket] }
 #align lie_module.to_module_hom LieModule.toModuleHom
 
 @[simp]
@@ -242,16 +236,10 @@ theorem lieIdeal_oper_eq_tensor_map_range :
     LieModuleHom.coe_linearMap_comp, LinearMap.range_comp, map_incl_def, coe_linear_map_map,
     TensorProduct.map_range_eq_span_tmul, Submodule.map_span]
   congr ; ext m; constructor
-  · rintro ⟨⟨x, hx⟩, ⟨n, hn⟩, rfl⟩
-    use x ⊗ₜ n
-    constructor
-    · use ⟨x, hx⟩, ⟨n, hn⟩
-      simp
+  · rintro ⟨⟨x, hx⟩, ⟨n, hn⟩, rfl⟩; use x ⊗ₜ n; constructor
+    · use ⟨x, hx⟩, ⟨n, hn⟩; simp
     · simp
-  · rintro ⟨t, ⟨⟨x, hx⟩, ⟨n, hn⟩, rfl⟩, h⟩
-    rw [← h]
-    use ⟨x, hx⟩, ⟨n, hn⟩
-    simp
+  · rintro ⟨t, ⟨⟨x, hx⟩, ⟨n, hn⟩, rfl⟩, h⟩; rw [← h]; use ⟨x, hx⟩, ⟨n, hn⟩; simp
 #align lie_submodule.lie_ideal_oper_eq_tensor_map_range LieSubmodule.lieIdeal_oper_eq_tensor_map_range
 
 end LieSubmodule

657df433

bump to nightly-2023-05-23-03

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

ed98987c

Diff

@@ -51,7 +51,7 @@ attribute [local ext] TensorProduct.ext
 expression of the fact that `L` acts by linear endomorphisms. It simplifies the proofs in
 `lie_ring_module` below. -/
 def hasBracketAux (x : L) : Module.End R (M ⊗[R] N) :=
-  (toEndomorphism R L M x).rtensor N + (toEndomorphism R L N x).ltensor M
+  (toEndomorphism R L M x).rTensor N + (toEndomorphism R L N x).lTensor M
 #align tensor_product.lie_module.has_bracket_aux TensorProduct.LieModule.hasBracketAux
 
 /-- The tensor product of two Lie modules is a Lie ring module. -/
@@ -60,7 +60,7 @@ instance lieRingModule : LieRingModule L (M ⊗[R] N)
   bracket x := hasBracketAux x
   add_lie x y t :=
     by
-    simp only [has_bracket_aux, LinearMap.ltensor_add, LinearMap.rtensor_add, LieHom.map_add,
+    simp only [has_bracket_aux, LinearMap.lTensor_add, LinearMap.rTensor_add, LieHom.map_add,
       LinearMap.add_apply]
     abel
   lie_add x := LinearMap.map_add _
@@ -75,9 +75,9 @@ instance lieRingModule : LieRingModule L (M ⊗[R] N)
       rfl
     ext (m n)
     simp only [has_bracket_aux, LieRing.of_associative_ring_bracket, LinearMap.mul_apply, mk_apply,
-      LinearMap.ltensor_sub, LinearMap.compr₂_apply, Function.comp_apply, LinearMap.coe_comp,
-      LinearMap.rtensor_tmul, LieHom.map_lie, to_endomorphism_apply_apply, LinearMap.add_apply,
-      LinearMap.map_add, LinearMap.rtensor_sub, LinearMap.sub_apply, LinearMap.ltensor_tmul]
+      LinearMap.lTensor_sub, LinearMap.compr₂_apply, Function.comp_apply, LinearMap.coe_comp,
+      LinearMap.rTensor_tmul, LieHom.map_lie, to_endomorphism_apply_apply, LinearMap.add_apply,
+      LinearMap.map_add, LinearMap.rTensor_sub, LinearMap.sub_apply, LinearMap.lTensor_tmul]
     abel
 #align tensor_product.lie_module.lie_ring_module TensorProduct.LieModule.lieRingModule
 
@@ -86,16 +86,16 @@ instance lieModule : LieModule R L (M ⊗[R] N)
     where
   smul_lie c x t := by
     change has_bracket_aux (c • x) _ = c • has_bracket_aux _ _
-    simp only [has_bracket_aux, smul_add, LinearMap.rtensor_smul, LinearMap.smul_apply,
-      LinearMap.ltensor_smul, LieHom.map_smul, LinearMap.add_apply]
+    simp only [has_bracket_aux, smul_add, LinearMap.rTensor_smul, LinearMap.smul_apply,
+      LinearMap.lTensor_smul, LieHom.map_smul, LinearMap.add_apply]
   lie_smul c x := LinearMap.map_smul _ c
 #align tensor_product.lie_module.lie_module TensorProduct.LieModule.lieModule
 
 @[simp]
 theorem lie_tmul_right (x : L) (m : M) (n : N) : ⁅x, m ⊗ₜ[R] n⁆ = ⁅x, m⁆ ⊗ₜ n + m ⊗ₜ ⁅x, n⁆ :=
   show hasBracketAux x (m ⊗ₜ[R] n) = _ by
-    simp only [has_bracket_aux, LinearMap.rtensor_tmul, to_endomorphism_apply_apply,
-      LinearMap.add_apply, LinearMap.ltensor_tmul]
+    simp only [has_bracket_aux, LinearMap.rTensor_tmul, to_endomorphism_apply_apply,
+      LinearMap.add_apply, LinearMap.lTensor_tmul]
 #align tensor_product.lie_module.lie_tmul_right TensorProduct.LieModule.lie_tmul_right
 
 variable (R L M N P Q)

657df433

bump to nightly-2023-02-27-16

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

feafc24f

Diff

@@ -208,7 +208,7 @@ def toModuleHom : L ⊗[R] M →ₗ⁅R,L⁆ M :=
 @[simp]
 theorem toModuleHom_apply (x : L) (m : M) : toModuleHom R L M (x ⊗ₜ m) = ⁅x, m⁆ := by
   simp only [to_module_hom, TensorProduct.LieModule.liftLie_apply, to_endomorphism_apply_apply,
-    LieHom.coe_to_linearMap, LieModuleHom.coe_mk, LinearMap.coe_mk, LinearMap.toFun_eq_coe]
+    LieHom.coe_toLinearMap, LieModuleHom.coe_mk, LinearMap.coe_mk, LinearMap.toFun_eq_coe]
 #align lie_module.to_module_hom_apply LieModule.toModuleHom_apply
 
 end LieModule

657df433

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

657df433

feat: Generalize Basis.tensorProduct to heterobasic version (#11844)

In order to achieve this, finsuppTensorFinsupp and TensorProduct.directSum are also heterobasic now.

728940e9

Diff

@@ -60,10 +60,10 @@ instance lieRingModule : LieRingModule L (M ⊗[R] N) where
         hasBracketAux ⁅x, y⁆ + (hasBracketAux y).comp (hasBracketAux x) by
       simp only [← LinearMap.add_apply]; rw [← LinearMap.comp_apply, this]; rfl
     ext m n
-    simp only [hasBracketAux, LieRing.of_associative_ring_bracket, LinearMap.mul_apply, mk_apply,
-      LinearMap.lTensor_sub, LinearMap.compr₂_apply, Function.comp_apply, LinearMap.coe_comp,
+    simp only [hasBracketAux, AlgebraTensorModule.curry_apply, curry_apply, sub_tmul, tmul_sub,
+      LinearMap.coe_restrictScalars, Function.comp_apply, LinearMap.coe_comp,
       LinearMap.rTensor_tmul, LieHom.map_lie, toEndomorphism_apply_apply, LinearMap.add_apply,
-      LinearMap.map_add, LinearMap.rTensor_sub, LinearMap.sub_apply, LinearMap.lTensor_tmul]
+      LinearMap.map_add, LieHom.lie_apply, Module.End.lie_apply, LinearMap.lTensor_tmul]
     abel
 #align tensor_product.lie_module.lie_ring_module TensorProduct.LieModule.lieRingModule
 
@@ -91,8 +91,9 @@ def lift : (M →ₗ[R] N →ₗ[R] P) ≃ₗ⁅R,L⁆ M ⊗[R] N →ₗ[R] P :=
   { TensorProduct.lift.equiv R M N P with
     map_lie' := fun {x f} => by
       ext m n
-      simp only [mk_apply, LinearMap.compr₂_apply, lie_tmul_right, LinearMap.sub_apply,
-        lift.equiv_apply, LinearEquiv.toFun_eq_coe, LieHom.lie_apply, LinearMap.map_add]
+      simp only [AddHom.toFun_eq_coe, LinearMap.coe_toAddHom, LinearEquiv.coe_coe,
+        AlgebraTensorModule.curry_apply, curry_apply, LinearMap.coe_restrictScalars,
+        lift.equiv_apply, LieHom.lie_apply, LinearMap.sub_apply, lie_tmul_right, map_add]
       abel }
 #align tensor_product.lie_module.lift TensorProduct.LieModule.lift

657df433

chore(*): remove empty lines between variable statements (#11418)

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)

75c86f04

Diff

@@ -32,15 +32,10 @@ open scoped TensorProduct
 namespace LieModule
 
 variable {L : Type v} {M : Type w} {N : Type w₁} {P : Type w₂} {Q : Type w₃}
-
 variable [LieRing L] [LieAlgebra R L]
-
 variable [AddCommGroup M] [Module R M] [LieRingModule L M] [LieModule R L M]
-
 variable [AddCommGroup N] [Module R N] [LieRingModule L N] [LieModule R L N]
-
 variable [AddCommGroup P] [Module R P] [LieRingModule L P] [LieModule R L P]
-
 variable [AddCommGroup Q] [Module R Q] [LieRingModule L Q] [LieModule R L Q]
 
 attribute [local ext] TensorProduct.ext
@@ -179,9 +174,7 @@ namespace LieModule
 open scoped TensorProduct
 
 variable (R) (L : Type v) (M : Type w)
-
 variable [LieRing L] [LieAlgebra R L]
-
 variable [AddCommGroup M] [Module R M] [LieRingModule L M] [LieModule R L M]
 
 /-- The action of the Lie algebra on one of its modules, regarded as a morphism of Lie modules. -/

657df433

feat: use suppress_compilation in tensor products (#7504)

More principled version of #7281.

9ff5b6f1

Diff

@@ -17,6 +17,7 @@ Tensor products of Lie modules carry natural Lie module structures.
 lie module, tensor product, universal property
 -/
 
+suppress_compilation
 
 universe u v w w₁ w₂ w₃

657df433

fix: add some robustness to fragile declarations (#6177)

These declarations broke when I tweaked instances a little bit (in a separate branch that is not ready yet), and I think these declarations can use some extra robustness (usually by providing some extra information explicitly).

944204bb

Diff

@@ -207,11 +207,8 @@ open TensorProduct.LieModule
 open LieModule
 
 variable {L : Type v} {M : Type w}
-
 variable [LieRing L] [LieAlgebra R L]
-
 variable [AddCommGroup M] [Module R M] [LieRingModule L M] [LieModule R L M]
-
 variable (I : LieIdeal R L) (N : LieSubmodule R L M)
 
 /-- A useful alternative characterisation of Lie ideal operations on Lie submodules.
@@ -221,7 +218,7 @@ applying the action of `L` on `M`, we obtain morphism of Lie modules `f : I ⊗
 
 This lemma states that `⁅I, N⁆ = range f`. -/
 theorem lieIdeal_oper_eq_tensor_map_range :
-    ⁅I, N⁆ = ((toModuleHom R L M).comp (mapIncl I N : (↥I) ⊗ (↥N) →ₗ⁅R,L⁆ L ⊗ M)).range := by
+    ⁅I, N⁆ = ((toModuleHom R L M).comp (mapIncl I N : (↥I) ⊗[R] (↥N) →ₗ⁅R,L⁆ L ⊗[R] M)).range := by
   rw [← coe_toSubmodule_eq_iff, lieIdeal_oper_eq_linear_span, LieModuleHom.coeSubmodule_range,
     LieModuleHom.coe_linearMap_comp, LinearMap.range_comp, mapIncl_def, coe_linearMap_map,
     TensorProduct.map_range_eq_span_tmul, Submodule.map_span]

657df433

chore: script to replace headers with #align_import statements (#5979)

depends on: #5966

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

89aa3a3b

Diff

@@ -2,14 +2,11 @@
 Copyright (c) 2021 Oliver Nash. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Oliver Nash
-
-! This file was ported from Lean 3 source module algebra.lie.tensor_product
-! leanprover-community/mathlib commit 657df4339ae6ceada048c8a2980fb10e393143ec
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Lie.Abelian
 
+#align_import algebra.lie.tensor_product from "leanprover-community/mathlib"@"657df4339ae6ceada048c8a2980fb10e393143ec"
+
 /-!
 # Tensor products of Lie modules

657df433

chore: remove superfluous parentheses in calls to ext (#5258)

Co-authored-by: Xavier Roblot <46200072+xroblot@users.noreply.github.com> Co-authored-by: Joël Riou <joel.riou@universite-paris-saclay.fr> Co-authored-by: Riccardo Brasca <riccardo.brasca@gmail.com> Co-authored-by: Yury G. Kudryashov <urkud@urkud.name> Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com> Co-authored-by: Pol'tta / Miyahara Kō <pol_tta@outlook.jp> Co-authored-by: Jason Yuen <jason_yuen2007@hotmail.com> Co-authored-by: Mario Carneiro <di.gama@gmail.com> Co-authored-by: Jireh Loreaux <loreaujy@gmail.com> Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com> Co-authored-by: Kyle Miller <kmill31415@gmail.com> Co-authored-by: Heather Macbeth <25316162+hrmacbeth@users.noreply.github.com> Co-authored-by: Jujian Zhang <jujian.zhang1998@outlook.com> Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>

3d6731dc

Diff

@@ -66,7 +66,7 @@ instance lieRingModule : LieRingModule L (M ⊗[R] N) where
     suffices (hasBracketAux x).comp (hasBracketAux y) =
         hasBracketAux ⁅x, y⁆ + (hasBracketAux y).comp (hasBracketAux x) by
       simp only [← LinearMap.add_apply]; rw [← LinearMap.comp_apply, this]; rfl
-    ext (m n)
+    ext m n
     simp only [hasBracketAux, LieRing.of_associative_ring_bracket, LinearMap.mul_apply, mk_apply,
       LinearMap.lTensor_sub, LinearMap.compr₂_apply, Function.comp_apply, LinearMap.coe_comp,
       LinearMap.rTensor_tmul, LieHom.map_lie, toEndomorphism_apply_apply, LinearMap.add_apply,
@@ -97,7 +97,7 @@ tensor-hom adjunction is equivariant with respect to the `L` action. -/
 def lift : (M →ₗ[R] N →ₗ[R] P) ≃ₗ⁅R,L⁆ M ⊗[R] N →ₗ[R] P :=
   { TensorProduct.lift.equiv R M N P with
     map_lie' := fun {x f} => by
-      ext (m n)
+      ext m n
       simp only [mk_apply, LinearMap.compr₂_apply, lie_tmul_right, LinearMap.sub_apply,
         lift.equiv_apply, LinearEquiv.toFun_eq_coe, LieHom.lie_apply, LinearMap.map_add]
       abel }
@@ -122,7 +122,7 @@ theorem coe_liftLie_eq_lift_coe (f : M →ₗ⁅R,L⁆ N →ₗ[R] P) :
     ⇑(liftLie R L M N P f) = lift R L M N P f := by
   suffices (liftLie R L M N P f : M ⊗[R] N →ₗ[R] P) = lift R L M N P f by
     rw [← this, LieModuleHom.coe_toLinearMap]
-  ext (m n)
+  ext m n
   simp only [liftLie, LinearEquiv.trans_apply, LieModuleEquiv.coe_to_linearEquiv,
     coe_linearMap_maxTrivLinearMapEquivLieModuleHom, coe_maxTrivEquiv_apply,
     coe_linearMap_maxTrivLinearMapEquivLieModuleHom_symm]

657df433

feat: port Algebra.Lie.TensorProduct (#4638)

0353f47d

`algebra.lie.tensor_product` ⟷ `Mathlib.Algebra.Lie.TensorProduct`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 470

algebra.lie.tensor_product ⟷ Mathlib.Algebra.Lie.TensorProduct

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 470

`algebra.lie.tensor_product` ⟷ `Mathlib.Algebra.Lie.TensorProduct`