algebra.lie.cartan_subalgebra | 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

938fead7

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

fd4551cf

bump to nightly-2024-03-17-08

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

22f01ce4

Diff

@@ -103,7 +103,7 @@ theorem isCartanSubalgebra_iff_isUcsLimit : H.IsCartanSubalgebra ↔ H.toLieSubm
           exact le_refl _
         self_normalizing := by
           have hk' := hk (k + 1) k.le_succ
-          rw [LieSubmodule.ucs_succ, hk k (le_refl k)] at hk' 
+          rw [LieSubmodule.ucs_succ, hk k (le_refl k)] at hk'
           rw [← LieSubalgebra.coe_to_submodule_eq_iff, ← LieSubalgebra.coe_normalizer_eq_normalizer,
             hk', LieSubalgebra.coe_toLieSubmodule] }
 #align lie_subalgebra.is_cartan_subalgebra_iff_is_ucs_limit LieSubalgebra.isCartanSubalgebra_iff_isUcsLimit

fd4551cf

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,8 +3,8 @@ 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.Nilpotent
-import Mathbin.Algebra.Lie.Normalizer
+import Algebra.Lie.Nilpotent
+import Algebra.Lie.Normalizer
 
 #align_import algebra.lie.cartan_subalgebra from "leanprover-community/mathlib"@"fd4551cfe4b7484b81c2c9ba3405edae27659676"

fd4551cf

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,15 +2,12 @@
 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.cartan_subalgebra
-! leanprover-community/mathlib commit fd4551cfe4b7484b81c2c9ba3405edae27659676
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Lie.Nilpotent
 import Mathbin.Algebra.Lie.Normalizer
 
+#align_import algebra.lie.cartan_subalgebra from "leanprover-community/mathlib"@"fd4551cfe4b7484b81c2c9ba3405edae27659676"
+
 /-!
 # Cartan subalgebras

fd4551cf

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -114,6 +114,7 @@ theorem isCartanSubalgebra_iff_isUcsLimit : H.IsCartanSubalgebra ↔ H.toLieSubm
 
 end LieSubalgebra
 
+#print LieIdeal.normalizer_eq_top /-
 @[simp]
 theorem LieIdeal.normalizer_eq_top {R : Type u} {L : Type v} [CommRing R] [LieRing L]
     [LieAlgebra R L] (I : LieIdeal R L) : (I : LieSubalgebra R L).normalizer = ⊤ :=
@@ -122,9 +123,11 @@ theorem LieIdeal.normalizer_eq_top {R : Type u} {L : Type v} [CommRing R] [LieRi
   simpa only [LieSubalgebra.mem_normalizer_iff, LieSubalgebra.mem_top, iff_true_iff] using
     fun y hy => I.lie_mem hy
 #align lie_ideal.normalizer_eq_top LieIdeal.normalizer_eq_top
+-/
 
 open LieIdeal
 
+#print LieAlgebra.top_isCartanSubalgebra_of_nilpotent /-
 /-- A nilpotent Lie algebra is its own Cartan subalgebra. -/
 instance LieAlgebra.top_isCartanSubalgebra_of_nilpotent [LieAlgebra.IsNilpotent R L] :
     LieSubalgebra.IsCartanSubalgebra (⊤ : LieSubalgebra R L)
@@ -132,4 +135,5 @@ instance LieAlgebra.top_isCartanSubalgebra_of_nilpotent [LieAlgebra.IsNilpotent
   nilpotent := inferInstance
   self_normalizing := by rw [← top_coe_lie_subalgebra, normalizer_eq_top, top_coe_lie_subalgebra]
 #align lie_algebra.top_is_cartan_subalgebra_of_nilpotent LieAlgebra.top_isCartanSubalgebra_of_nilpotent
+-/

fd4551cf

bump to nightly-2023-06-11-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/c471da714c044131b90c133701e51b877c246677

6960a941

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.cartan_subalgebra
-! leanprover-community/mathlib commit 938fead7abdc0cbbca8eba7a1052865a169dc102
+! leanprover-community/mathlib commit fd4551cfe4b7484b81c2c9ba3405edae27659676
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.Algebra.Lie.Normalizer
 /-!
 # Cartan subalgebras
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 Cartan subalgebras are one of the most important concepts in Lie theory. We define them here.
 The standard example is the set of diagonal matrices in the Lie algebra of matrices.

938fead7

bump to nightly-2023-06-10-01

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

8c45e6a5

Diff

@@ -35,6 +35,7 @@ variable {R : Type u} {L : Type v}
 
 variable [CommRing R] [LieRing L] [LieAlgebra R L] (H : LieSubalgebra R L)
 
+#print LieSubmodule.IsUcsLimit /-
 /-- Given a Lie module `M` of a Lie algebra `L`, `lie_submodule.is_ucs_limit` is the proposition
 that a Lie submodule `N ⊆ M` is the limiting value for the upper central series.
 
@@ -44,25 +45,31 @@ def LieSubmodule.IsUcsLimit {M : Type _} [AddCommGroup M] [Module R M] [LieRingM
     [LieModule R L M] (N : LieSubmodule R L M) : Prop :=
   ∃ k, ∀ l, k ≤ l → (⊥ : LieSubmodule R L M).ucs l = N
 #align lie_submodule.is_ucs_limit LieSubmodule.IsUcsLimit
+-/
 
 namespace LieSubalgebra
 
+#print LieSubalgebra.IsCartanSubalgebra /-
 /-- A Cartan subalgebra is a nilpotent, self-normalizing subalgebra. -/
 class IsCartanSubalgebra : Prop where
   nilpotent : LieAlgebra.IsNilpotent R H
   self_normalizing : H.normalizer = H
 #align lie_subalgebra.is_cartan_subalgebra LieSubalgebra.IsCartanSubalgebra
+-/
 
 instance [H.IsCartanSubalgebra] : LieAlgebra.IsNilpotent R H :=
   IsCartanSubalgebra.nilpotent
 
+#print LieSubalgebra.normalizer_eq_self_of_isCartanSubalgebra /-
 @[simp]
 theorem normalizer_eq_self_of_isCartanSubalgebra (H : LieSubalgebra R L) [H.IsCartanSubalgebra] :
     H.toLieSubmodule.normalizer = H.toLieSubmodule := by
   rw [← LieSubmodule.coe_toSubmodule_eq_iff, coe_normalizer_eq_normalizer,
     is_cartan_subalgebra.self_normalizing, coe_to_lie_submodule]
 #align lie_subalgebra.normalizer_eq_self_of_is_cartan_subalgebra LieSubalgebra.normalizer_eq_self_of_isCartanSubalgebra
+-/
 
+#print LieSubalgebra.ucs_eq_self_of_isCartanSubalgebra /-
 @[simp]
 theorem ucs_eq_self_of_isCartanSubalgebra (H : LieSubalgebra R L) [H.IsCartanSubalgebra] (k : ℕ) :
     H.toLieSubmodule.ucs k = H.toLieSubmodule :=
@@ -71,7 +78,9 @@ theorem ucs_eq_self_of_isCartanSubalgebra (H : LieSubalgebra R L) [H.IsCartanSub
   · simp
   · simp [ih]
 #align lie_subalgebra.ucs_eq_self_of_is_cartan_subalgebra LieSubalgebra.ucs_eq_self_of_isCartanSubalgebra
+-/
 
+#print LieSubalgebra.isCartanSubalgebra_iff_isUcsLimit /-
 theorem isCartanSubalgebra_iff_isUcsLimit : H.IsCartanSubalgebra ↔ H.toLieSubmodule.IsUcsLimit :=
   by
   constructor
@@ -98,6 +107,7 @@ theorem isCartanSubalgebra_iff_isUcsLimit : H.IsCartanSubalgebra ↔ H.toLieSubm
           rw [← LieSubalgebra.coe_to_submodule_eq_iff, ← LieSubalgebra.coe_normalizer_eq_normalizer,
             hk', LieSubalgebra.coe_toLieSubmodule] }
 #align lie_subalgebra.is_cartan_subalgebra_iff_is_ucs_limit LieSubalgebra.isCartanSubalgebra_iff_isUcsLimit
+-/
 
 end LieSubalgebra

938fead7

bump to nightly-2023-06-04-18

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

3fb4268b

Diff

@@ -59,7 +59,7 @@ instance [H.IsCartanSubalgebra] : LieAlgebra.IsNilpotent R H :=
 @[simp]
 theorem normalizer_eq_self_of_isCartanSubalgebra (H : LieSubalgebra R L) [H.IsCartanSubalgebra] :
     H.toLieSubmodule.normalizer = H.toLieSubmodule := by
-  rw [← LieSubmodule.coe_to_submodule_eq_iff, coe_normalizer_eq_normalizer,
+  rw [← LieSubmodule.coe_toSubmodule_eq_iff, coe_normalizer_eq_normalizer,
     is_cartan_subalgebra.self_normalizing, coe_to_lie_submodule]
 #align lie_subalgebra.normalizer_eq_self_of_is_cartan_subalgebra LieSubalgebra.normalizer_eq_self_of_isCartanSubalgebra

938fead7

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -94,7 +94,7 @@ theorem isCartanSubalgebra_iff_isUcsLimit : H.IsCartanSubalgebra ↔ H.toLieSubm
           exact le_refl _
         self_normalizing := by
           have hk' := hk (k + 1) k.le_succ
-          rw [LieSubmodule.ucs_succ, hk k (le_refl k)] at hk'
+          rw [LieSubmodule.ucs_succ, hk k (le_refl k)] at hk' 
           rw [← LieSubalgebra.coe_to_submodule_eq_iff, ← LieSubalgebra.coe_normalizer_eq_normalizer,
             hk', LieSubalgebra.coe_toLieSubmodule] }
 #align lie_subalgebra.is_cartan_subalgebra_iff_is_ucs_limit LieSubalgebra.isCartanSubalgebra_iff_isUcsLimit

938fead7

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

938fead7

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

@@ -29,7 +29,6 @@ lie subalgebra, normalizer, idealizer, cartan subalgebra
 universe u v w w₁ w₂
 
 variable {R : Type u} {L : Type v}
-
 variable [CommRing R] [LieRing L] [LieAlgebra R L] (H : LieSubalgebra R L)
 
 /-- Given a Lie module `M` of a Lie algebra `L`, `LieSubmodule.IsUcsLimit` is the proposition

938fead7

feat: weight space decomposition of Lie modules (#7963)

87c833e0

Diff

@@ -44,7 +44,9 @@ def LieSubmodule.IsUcsLimit {M : Type*} [AddCommGroup M] [Module R M] [LieRingMo
 
 namespace LieSubalgebra
 
-/-- A Cartan subalgebra is a nilpotent, self-normalizing subalgebra. -/
+/-- A Cartan subalgebra is a nilpotent, self-normalizing subalgebra.
+
+A _splitting_ Cartan subalgebra can be defined by mixing in `LieModule.IsTriangularizable R H L`. -/
 class IsCartanSubalgebra : Prop where
   nilpotent : LieAlgebra.IsNilpotent R H
   self_normalizing : H.normalizer = H

938fead7

chore: banish Type _ and Sort _ (#6499)

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

This has nice performance benefits.

32de3f67

Diff

@@ -37,7 +37,7 @@ that a Lie submodule `N ⊆ M` is the limiting value for the upper central serie
 
 This is a characteristic property of Cartan subalgebras with the roles of `L`, `M`, `N` played by
 `H`, `L`, `H`, respectively. See `LieSubalgebra.isCartanSubalgebra_iff_isUcsLimit`. -/
-def LieSubmodule.IsUcsLimit {M : Type _} [AddCommGroup M] [Module R M] [LieRingModule L M]
+def LieSubmodule.IsUcsLimit {M : Type*} [AddCommGroup M] [Module R M] [LieRingModule L M]
     [LieModule R L M] (N : LieSubmodule R L M) : Prop :=
   ∃ k, ∀ l, k ≤ l → (⊥ : LieSubmodule R L M).ucs l = N
 #align lie_submodule.is_ucs_limit LieSubmodule.IsUcsLimit

938fead7

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

@@ -2,15 +2,12 @@
 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.cartan_subalgebra
-! leanprover-community/mathlib commit 938fead7abdc0cbbca8eba7a1052865a169dc102
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Lie.Nilpotent
 import Mathlib.Algebra.Lie.Normalizer
 
+#align_import algebra.lie.cartan_subalgebra from "leanprover-community/mathlib"@"938fead7abdc0cbbca8eba7a1052865a169dc102"
+
 /-!
 # Cartan subalgebras

938fead7

feat: port Algebra.Lie.CartanSubalgebra (#4925)

0a81ec1c

`algebra.lie.cartan_subalgebra` ⟷ `Mathlib.Algebra.Lie.CartanSubalgebra`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 10 + 533

algebra.lie.cartan_subalgebra ⟷ Mathlib.Algebra.Lie.CartanSubalgebra

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 10 + 533

`algebra.lie.cartan_subalgebra` ⟷ `Mathlib.Algebra.Lie.CartanSubalgebra`