algebra.lie.cartan_matrix | 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

65ec5990

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

660b3a2d

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,9 +3,9 @@ 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.Free
-import Mathbin.Algebra.Lie.Quotient
-import Mathbin.Data.Matrix.Notation
+import Algebra.Lie.Free
+import Algebra.Lie.Quotient
+import Data.Matrix.Notation
 
 #align_import algebra.lie.cartan_matrix from "leanprover-community/mathlib"@"660b3a2db3522fa0db036e569dc995a615c4c848"

660b3a2d

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,16 +2,13 @@
 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_matrix
-! leanprover-community/mathlib commit 660b3a2db3522fa0db036e569dc995a615c4c848
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Lie.Free
 import Mathbin.Algebra.Lie.Quotient
 import Mathbin.Data.Matrix.Notation
 
+#align_import algebra.lie.cartan_matrix from "leanprover-community/mathlib"@"660b3a2db3522fa0db036e569dc995a615c4c848"
+
 /-!
 # Lie algebras from Cartan matrices

660b3a2d

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -99,6 +99,7 @@ namespace CartanMatrix
 
 variable (B)
 
+#print CartanMatrix.Generators /-
 /-- The generators of the free Lie algebra from which we construct the Lie algebra of a Cartan
 matrix as a quotient. -/
 inductive Generators
@@ -106,6 +107,7 @@ inductive Generators
   | E : B → generators
   | F : B → generators
 #align cartan_matrix.generators CartanMatrix.Generators
+-/
 
 instance [Inhabited B] : Inhabited (Generators B) :=
   ⟨Generators.H default⟩
@@ -116,38 +118,43 @@ namespace Relations
 
 open Function
 
--- mathport name: exprH
 local notation "H" => FreeLieAlgebra.of R ∘ Generators.H
 
--- mathport name: exprE
 local notation "E" => FreeLieAlgebra.of R ∘ Generators.E
 
--- mathport name: exprF
 local notation "F" => FreeLieAlgebra.of R ∘ Generators.F
 
--- mathport name: exprad
 local notation "ad" => LieAlgebra.ad R (FreeLieAlgebra R (Generators B))
 
+#print CartanMatrix.Relations.HH /-
 /-- The terms correpsonding to the `⁅H, H⁆`-relations. -/
 def HH : B × B → FreeLieAlgebra R (Generators B) :=
   uncurry fun i j => ⁅H i, H j⁆
 #align cartan_matrix.relations.HH CartanMatrix.Relations.HH
+-/
 
+#print CartanMatrix.Relations.EF /-
 /-- The terms correpsonding to the `⁅E, F⁆`-relations. -/
 def EF : B × B → FreeLieAlgebra R (Generators B) :=
   uncurry fun i j => if i = j then ⁅E i, F i⁆ - H i else ⁅E i, F j⁆
 #align cartan_matrix.relations.EF CartanMatrix.Relations.EF
+-/
 
+#print CartanMatrix.Relations.HE /-
 /-- The terms correpsonding to the `⁅H, E⁆`-relations. -/
 def HE : B × B → FreeLieAlgebra R (Generators B) :=
   uncurry fun i j => ⁅H i, E j⁆ - A i j • E j
 #align cartan_matrix.relations.HE CartanMatrix.Relations.HE
+-/
 
+#print CartanMatrix.Relations.HF /-
 /-- The terms correpsonding to the `⁅H, F⁆`-relations. -/
 def HF : B × B → FreeLieAlgebra R (Generators B) :=
   uncurry fun i j => ⁅H i, F j⁆ + A i j • F j
 #align cartan_matrix.relations.HF CartanMatrix.Relations.HF
+-/
 
+#print CartanMatrix.Relations.adE /-
 /-- The terms correpsonding to the `ad E`-relations.
 
 Note that we use `int.to_nat` so that we can take the power and that we do not bother
@@ -156,13 +163,16 @@ ensure this with `ad_E_of_eq_eq_zero`. -/
 def adE : B × B → FreeLieAlgebra R (Generators B) :=
   uncurry fun i j => ad (E i) ^ (-A i j).toNat <| ⁅E i, E j⁆
 #align cartan_matrix.relations.ad_E CartanMatrix.Relations.adE
+-/
 
+#print CartanMatrix.Relations.adF /-
 /-- The terms correpsonding to the `ad F`-relations.
 
 See also `ad_E` docstring. -/
 def adF : B × B → FreeLieAlgebra R (Generators B) :=
   uncurry fun i j => ad (F i) ^ (-A i j).toNat <| ⁅F i, F j⁆
 #align cartan_matrix.relations.ad_F CartanMatrix.Relations.adF
+-/
 
 private theorem ad_E_of_eq_eq_zero (i : B) (h : A i i = 2) : adE R A ⟨i, i⟩ = 0 :=
   by
@@ -174,23 +184,28 @@ private theorem ad_F_of_eq_eq_zero (i : B) (h : A i i = 2) : adF R A ⟨i, i⟩
   have h' : (-2 : ℤ).toNat = 0 := by rfl
   simp [ad_F, h, h']
 
+#print CartanMatrix.Relations.toSet /-
 /-- The union of all the relations as a subset of the free Lie algebra. -/
 def toSet : Set (FreeLieAlgebra R (Generators B)) :=
   (Set.range <| HH R) ∪ (Set.range <| EF R) ∪ (Set.range <| HE R A) ∪ (Set.range <| HF R A) ∪
       (Set.range <| adE R A) ∪
     (Set.range <| adF R A)
 #align cartan_matrix.relations.to_set CartanMatrix.Relations.toSet
+-/
 
+#print CartanMatrix.Relations.toIdeal /-
 /-- The ideal of the free Lie algebra generated by the relations. -/
 def toIdeal : LieIdeal R (FreeLieAlgebra R (Generators B)) :=
   LieSubmodule.lieSpan R _ <| toSet R A
 #align cartan_matrix.relations.to_ideal CartanMatrix.Relations.toIdeal
+-/
 
 end Relations
 
 end CartanMatrix
 
 /- ./././Mathport/Syntax/Translate/Command.lean:43:9: unsupported derive handler lie_algebra[lie_algebra] R -/
+#print Matrix.ToLieAlgebra /-
 /-- The Lie algebra corresponding to a Cartan matrix.
 
 Note that it is defined for any matrix of integers. Its value for non-Cartan matrices should be
@@ -200,6 +215,7 @@ def Matrix.ToLieAlgebra :=
 deriving Inhabited, LieRing,
   «./././Mathport/Syntax/Translate/Command.lean:43:9: unsupported derive handler lie_algebra[lie_algebra] R»
 #align matrix.to_lie_algebra Matrix.ToLieAlgebra
+-/
 
 namespace CartanMatrix

660b3a2d

bump to nightly-2023-06-12-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/ccdbfb6e5614667af5aa3ab2d50885e0ef44a46f

879d466d

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_matrix
-! leanprover-community/mathlib commit 65ec59902eb17e4ab7da8d7e3d0bd9774d1b8b99
+! leanprover-community/mathlib commit 660b3a2db3522fa0db036e569dc995a615c4c848
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -15,6 +15,9 @@ import Mathbin.Data.Matrix.Notation
 /-!
 # Lie algebras from Cartan matrices
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 Split semi-simple Lie algebras are uniquely determined by their Cartan matrix. Indeed, if `A` is
 an `l × l` Cartan matrix, the corresponding Lie algebra may be obtained as the Lie algebra on
 `3l` generators: $H_1, H_2, \ldots H_l, E_1, E_2, \ldots, E_l, F_1, F_2, \ldots, F_l$

65ec5990

bump to nightly-2023-06-10-11

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

4f055b6e

Diff

@@ -126,24 +126,24 @@ local notation "F" => FreeLieAlgebra.of R ∘ Generators.F
 local notation "ad" => LieAlgebra.ad R (FreeLieAlgebra R (Generators B))
 
 /-- The terms correpsonding to the `⁅H, H⁆`-relations. -/
-def hH : B × B → FreeLieAlgebra R (Generators B) :=
+def HH : B × B → FreeLieAlgebra R (Generators B) :=
   uncurry fun i j => ⁅H i, H j⁆
-#align cartan_matrix.relations.HH CartanMatrix.Relations.hH
+#align cartan_matrix.relations.HH CartanMatrix.Relations.HH
 
 /-- The terms correpsonding to the `⁅E, F⁆`-relations. -/
-def eF : B × B → FreeLieAlgebra R (Generators B) :=
+def EF : B × B → FreeLieAlgebra R (Generators B) :=
   uncurry fun i j => if i = j then ⁅E i, F i⁆ - H i else ⁅E i, F j⁆
-#align cartan_matrix.relations.EF CartanMatrix.Relations.eF
+#align cartan_matrix.relations.EF CartanMatrix.Relations.EF
 
 /-- The terms correpsonding to the `⁅H, E⁆`-relations. -/
-def hE : B × B → FreeLieAlgebra R (Generators B) :=
+def HE : B × B → FreeLieAlgebra R (Generators B) :=
   uncurry fun i j => ⁅H i, E j⁆ - A i j • E j
-#align cartan_matrix.relations.HE CartanMatrix.Relations.hE
+#align cartan_matrix.relations.HE CartanMatrix.Relations.HE
 
 /-- The terms correpsonding to the `⁅H, F⁆`-relations. -/
-def hF : B × B → FreeLieAlgebra R (Generators B) :=
+def HF : B × B → FreeLieAlgebra R (Generators B) :=
   uncurry fun i j => ⁅H i, F j⁆ + A i j • F j
-#align cartan_matrix.relations.HF CartanMatrix.Relations.hF
+#align cartan_matrix.relations.HF CartanMatrix.Relations.HF
 
 /-- The terms correpsonding to the `ad E`-relations.
 
@@ -173,7 +173,7 @@ private theorem ad_F_of_eq_eq_zero (i : B) (h : A i i = 2) : adF R A ⟨i, i⟩
 
 /-- The union of all the relations as a subset of the free Lie algebra. -/
 def toSet : Set (FreeLieAlgebra R (Generators B)) :=
-  (Set.range <| hH R) ∪ (Set.range <| eF R) ∪ (Set.range <| hE R A) ∪ (Set.range <| hF R A) ∪
+  (Set.range <| HH R) ∪ (Set.range <| EF R) ∪ (Set.range <| HE R A) ∪ (Set.range <| HF R A) ∪
       (Set.range <| adE R A) ∪
     (Set.range <| adF R A)
 #align cartan_matrix.relations.to_set CartanMatrix.Relations.toSet
@@ -200,6 +200,7 @@ deriving Inhabited, LieRing,
 
 namespace CartanMatrix
 
+#print CartanMatrix.E₆ /-
 /-- The Cartan matrix of type e₆. See [bourbaki1968] plate V, page 277.
 
 The corresponding Dynkin diagram is:
@@ -209,15 +210,17 @@ The corresponding Dynkin diagram is:
 o --- o --- o --- o --- o
 ```
 -/
-def e₆ : Matrix (Fin 6) (Fin 6) ℤ :=
+def E₆ : Matrix (Fin 6) (Fin 6) ℤ :=
   !![2, 0, -1, 0, 0, 0;
     0, 2, 0, -1, 0, 0;
     -1, 0, 2, -1, 0, 0;
     0, -1, -1, 2, -1, 0;
     0, 0, 0, -1, 2, -1;
     0, 0, 0, 0, -1, 2]
-#align cartan_matrix.E₆ CartanMatrix.e₆
+#align cartan_matrix.E₆ CartanMatrix.E₆
+-/
 
+#print CartanMatrix.E₇ /-
 /-- The Cartan matrix of type e₇. See [bourbaki1968] plate VI, page 281.
 
 The corresponding Dynkin diagram is:
@@ -227,7 +230,7 @@ The corresponding Dynkin diagram is:
 o --- o --- o --- o --- o --- o
 ```
 -/
-def e₇ : Matrix (Fin 7) (Fin 7) ℤ :=
+def E₇ : Matrix (Fin 7) (Fin 7) ℤ :=
   !![2, 0, -1, 0, 0, 0, 0;
     0, 2, 0, -1, 0, 0, 0;
     -1, 0, 2, -1, 0, 0, 0;
@@ -235,8 +238,10 @@ def e₇ : Matrix (Fin 7) (Fin 7) ℤ :=
     0, 0, 0, -1, 2, -1, 0;
     0, 0, 0, 0, -1, 2, -1;
     0, 0, 0, 0, 0, -1, 2]
-#align cartan_matrix.E₇ CartanMatrix.e₇
+#align cartan_matrix.E₇ CartanMatrix.E₇
+-/
 
+#print CartanMatrix.E₈ /-
 /-- The Cartan matrix of type e₈. See [bourbaki1968] plate VII, page 285.
 
 The corresponding Dynkin diagram is:
@@ -246,7 +251,7 @@ The corresponding Dynkin diagram is:
 o --- o --- o --- o --- o --- o --- o
 ```
 -/
-def e₈ : Matrix (Fin 8) (Fin 8) ℤ :=
+def E₈ : Matrix (Fin 8) (Fin 8) ℤ :=
   !![2, 0, -1, 0, 0, 0, 0, 0;
     0, 2, 0, -1, 0, 0, 0, 0;
     -1, 0, 2, -1, 0, 0, 0, 0;
@@ -255,8 +260,10 @@ def e₈ : Matrix (Fin 8) (Fin 8) ℤ :=
     0, 0, 0, 0, -1, 2, -1, 0;
     0, 0, 0, 0, 0, -1, 2, -1;
     0, 0, 0, 0, 0, 0, -1, 2]
-#align cartan_matrix.E₈ CartanMatrix.e₈
+#align cartan_matrix.E₈ CartanMatrix.E₈
+-/
 
+#print CartanMatrix.F₄ /-
 /-- The Cartan matrix of type f₄. See [bourbaki1968] plate VIII, page 288.
 
 The corresponding Dynkin diagram is:
@@ -264,10 +271,12 @@ The corresponding Dynkin diagram is:
 o --- o =>= o --- o
 ```
 -/
-def f₄ : Matrix (Fin 4) (Fin 4) ℤ :=
+def F₄ : Matrix (Fin 4) (Fin 4) ℤ :=
   !![2, -1, 0, 0; -1, 2, -2, 0; 0, -1, 2, -1; 0, 0, -1, 2]
-#align cartan_matrix.F₄ CartanMatrix.f₄
+#align cartan_matrix.F₄ CartanMatrix.F₄
+-/
 
+#print CartanMatrix.G₂ /-
 /-- The Cartan matrix of type g₂. See [bourbaki1968] plate IX, page 290.
 
 The corresponding Dynkin diagram is:
@@ -276,38 +285,49 @@ o ≡>≡ o
 ```
 Actually we are using the transpose of Bourbaki's matrix. This is to make this matrix consistent
 with `cartan_matrix.F₄`, in the sense that all non-zero values below the diagonal are -1. -/
-def g₂ : Matrix (Fin 2) (Fin 2) ℤ :=
+def G₂ : Matrix (Fin 2) (Fin 2) ℤ :=
   !![2, -3; -1, 2]
-#align cartan_matrix.G₂ CartanMatrix.g₂
+#align cartan_matrix.G₂ CartanMatrix.G₂
+-/
 
 end CartanMatrix
 
 namespace LieAlgebra
 
+#print LieAlgebra.e₆ /-
 /-- The exceptional split Lie algebra of type e₆. -/
-abbrev E₆ :=
-  CartanMatrix.e₆.ToLieAlgebra R
-#align lie_algebra.e₆ LieAlgebra.E₆
+abbrev e₆ :=
+  CartanMatrix.E₆.ToLieAlgebra R
+#align lie_algebra.e₆ LieAlgebra.e₆
+-/
 
+#print LieAlgebra.e₇ /-
 /-- The exceptional split Lie algebra of type e₇. -/
-abbrev E₇ :=
-  CartanMatrix.e₇.ToLieAlgebra R
-#align lie_algebra.e₇ LieAlgebra.E₇
+abbrev e₇ :=
+  CartanMatrix.E₇.ToLieAlgebra R
+#align lie_algebra.e₇ LieAlgebra.e₇
+-/
 
+#print LieAlgebra.e₈ /-
 /-- The exceptional split Lie algebra of type e₈. -/
-abbrev E₈ :=
-  CartanMatrix.e₈.ToLieAlgebra R
-#align lie_algebra.e₈ LieAlgebra.E₈
+abbrev e₈ :=
+  CartanMatrix.E₈.ToLieAlgebra R
+#align lie_algebra.e₈ LieAlgebra.e₈
+-/
 
+#print LieAlgebra.f₄ /-
 /-- The exceptional split Lie algebra of type f₄. -/
-abbrev F₄ :=
-  CartanMatrix.f₄.ToLieAlgebra R
-#align lie_algebra.f₄ LieAlgebra.F₄
+abbrev f₄ :=
+  CartanMatrix.F₄.ToLieAlgebra R
+#align lie_algebra.f₄ LieAlgebra.f₄
+-/
 
+#print LieAlgebra.g₂ /-
 /-- The exceptional split Lie algebra of type g₂. -/
-abbrev G₂ :=
-  CartanMatrix.g₂.ToLieAlgebra R
-#align lie_algebra.g₂ LieAlgebra.G₂
+abbrev g₂ :=
+  CartanMatrix.G₂.ToLieAlgebra R
+#align lie_algebra.g₂ LieAlgebra.g₂
+-/
 
 end LieAlgebra

65ec5990

bump to nightly-2023-06-04-18

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

3fb4268b

Diff

@@ -187,7 +187,7 @@ end Relations
 
 end CartanMatrix
 
-/- ./././Mathport/Syntax/Translate/Command.lean:42:9: unsupported derive handler lie_algebra[lie_algebra] R -/
+/- ./././Mathport/Syntax/Translate/Command.lean:43:9: unsupported derive handler lie_algebra[lie_algebra] R -/
 /-- The Lie algebra corresponding to a Cartan matrix.
 
 Note that it is defined for any matrix of integers. Its value for non-Cartan matrices should be
@@ -195,7 +195,7 @@ regarded as junk. -/
 def Matrix.ToLieAlgebra :=
   FreeLieAlgebra R _ ⧸ CartanMatrix.Relations.toIdeal R A
 deriving Inhabited, LieRing,
-  «./././Mathport/Syntax/Translate/Command.lean:42:9: unsupported derive handler lie_algebra[lie_algebra] R»
+  «./././Mathport/Syntax/Translate/Command.lean:43:9: unsupported derive handler lie_algebra[lie_algebra] R»
 #align matrix.to_lie_algebra Matrix.ToLieAlgebra
 
 namespace CartanMatrix

65ec5990

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -193,7 +193,8 @@ end CartanMatrix
 Note that it is defined for any matrix of integers. Its value for non-Cartan matrices should be
 regarded as junk. -/
 def Matrix.ToLieAlgebra :=
-  FreeLieAlgebra R _ ⧸ CartanMatrix.Relations.toIdeal R A deriving Inhabited, LieRing,
+  FreeLieAlgebra R _ ⧸ CartanMatrix.Relations.toIdeal R A
+deriving Inhabited, LieRing,
   «./././Mathport/Syntax/Translate/Command.lean:42:9: unsupported derive handler lie_algebra[lie_algebra] R»
 #align matrix.to_lie_algebra Matrix.ToLieAlgebra

65ec5990

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -165,13 +165,11 @@ private theorem ad_E_of_eq_eq_zero (i : B) (h : A i i = 2) : adE R A ⟨i, i⟩
   by
   have h' : (-2 : ℤ).toNat = 0 := by rfl
   simp [ad_E, h, h']
-#align cartan_matrix.relations.ad_E_of_eq_eq_zero cartan_matrix.relations.ad_E_of_eq_eq_zero
 
 private theorem ad_F_of_eq_eq_zero (i : B) (h : A i i = 2) : adF R A ⟨i, i⟩ = 0 :=
   by
   have h' : (-2 : ℤ).toNat = 0 := by rfl
   simp [ad_F, h, h']
-#align cartan_matrix.relations.ad_F_of_eq_eq_zero cartan_matrix.relations.ad_F_of_eq_eq_zero
 
 /-- The union of all the relations as a subset of the free Lie algebra. -/
 def toSet : Set (FreeLieAlgebra R (Generators B)) :=

65ec5990

bump to nightly-2023-04-18-00

mathlib commit https://github.com/leanprover-community/mathlib/commit/17ad94b4953419f3e3ce3e77da3239c62d1d09f0

7809aa1d

Diff

@@ -201,7 +201,6 @@ def Matrix.ToLieAlgebra :=
 
 namespace CartanMatrix
 
-/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
 /-- The Cartan matrix of type e₆. See [bourbaki1968] plate V, page 277.
 
 The corresponding Dynkin diagram is:
@@ -220,7 +219,6 @@ def e₆ : Matrix (Fin 6) (Fin 6) ℤ :=
     0, 0, 0, 0, -1, 2]
 #align cartan_matrix.E₆ CartanMatrix.e₆
 
-/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
 /-- The Cartan matrix of type e₇. See [bourbaki1968] plate VI, page 281.
 
 The corresponding Dynkin diagram is:
@@ -240,7 +238,6 @@ def e₇ : Matrix (Fin 7) (Fin 7) ℤ :=
     0, 0, 0, 0, 0, -1, 2]
 #align cartan_matrix.E₇ CartanMatrix.e₇
 
-/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
 /-- The Cartan matrix of type e₈. See [bourbaki1968] plate VII, page 285.
 
 The corresponding Dynkin diagram is:
@@ -261,7 +258,6 @@ def e₈ : Matrix (Fin 8) (Fin 8) ℤ :=
     0, 0, 0, 0, 0, 0, -1, 2]
 #align cartan_matrix.E₈ CartanMatrix.e₈
 
-/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
 /-- The Cartan matrix of type f₄. See [bourbaki1968] plate VIII, page 288.
 
 The corresponding Dynkin diagram is:
@@ -273,7 +269,6 @@ def f₄ : Matrix (Fin 4) (Fin 4) ℤ :=
   !![2, -1, 0, 0; -1, 2, -2, 0; 0, -1, 2, -1; 0, 0, -1, 2]
 #align cartan_matrix.F₄ CartanMatrix.f₄
 
-/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
 /-- The Cartan matrix of type g₂. See [bourbaki1968] plate IX, page 290.
 
 The corresponding Dynkin diagram is:

65ec5990

bump to nightly-2023-04-17-22

mathlib commit https://github.com/leanprover-community/mathlib/commit/17ad94b4953419f3e3ce3e77da3239c62d1d09f0

a06e1e15

Diff

@@ -212,8 +212,12 @@ o --- o --- o --- o --- o
 ```
 -/
 def e₆ : Matrix (Fin 6) (Fin 6) ℤ :=
-  !![2, 0, -1, 0, 0, 0; 0, 2, 0, -1, 0, 0; -1, 0, 2, -1, 0, 0; 0, -1, -1, 2, -1, 0; 0, 0, 0, -1, 2,
-    -1; 0, 0, 0, 0, -1, 2]
+  !![2, 0, -1, 0, 0, 0;
+    0, 2, 0, -1, 0, 0;
+    -1, 0, 2, -1, 0, 0;
+    0, -1, -1, 2, -1, 0;
+    0, 0, 0, -1, 2, -1;
+    0, 0, 0, 0, -1, 2]
 #align cartan_matrix.E₆ CartanMatrix.e₆
 
 /- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
@@ -227,8 +231,13 @@ o --- o --- o --- o --- o --- o
 ```
 -/
 def e₇ : Matrix (Fin 7) (Fin 7) ℤ :=
-  !![2, 0, -1, 0, 0, 0, 0; 0, 2, 0, -1, 0, 0, 0; -1, 0, 2, -1, 0, 0, 0; 0, -1, -1, 2, -1, 0, 0; 0,
-    0, 0, -1, 2, -1, 0; 0, 0, 0, 0, -1, 2, -1; 0, 0, 0, 0, 0, -1, 2]
+  !![2, 0, -1, 0, 0, 0, 0;
+    0, 2, 0, -1, 0, 0, 0;
+    -1, 0, 2, -1, 0, 0, 0;
+    0, -1, -1, 2, -1, 0, 0;
+    0, 0, 0, -1, 2, -1, 0;
+    0, 0, 0, 0, -1, 2, -1;
+    0, 0, 0, 0, 0, -1, 2]
 #align cartan_matrix.E₇ CartanMatrix.e₇
 
 /- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
@@ -242,9 +251,14 @@ o --- o --- o --- o --- o --- o --- o
 ```
 -/
 def e₈ : Matrix (Fin 8) (Fin 8) ℤ :=
-  !![2, 0, -1, 0, 0, 0, 0, 0; 0, 2, 0, -1, 0, 0, 0, 0; -1, 0, 2, -1, 0, 0, 0, 0; 0, -1, -1, 2, -1,
-    0, 0, 0; 0, 0, 0, -1, 2, -1, 0, 0; 0, 0, 0, 0, -1, 2, -1, 0; 0, 0, 0, 0, 0, -1, 2, -1; 0, 0, 0,
-    0, 0, 0, -1, 2]
+  !![2, 0, -1, 0, 0, 0, 0, 0;
+    0, 2, 0, -1, 0, 0, 0, 0;
+    -1, 0, 2, -1, 0, 0, 0, 0;
+    0, -1, -1, 2, -1, 0, 0, 0;
+    0, 0, 0, -1, 2, -1, 0, 0;
+    0, 0, 0, 0, -1, 2, -1, 0;
+    0, 0, 0, 0, 0, -1, 2, -1;
+    0, 0, 0, 0, 0, 0, -1, 2]
 #align cartan_matrix.E₈ CartanMatrix.e₈
 
 /- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/

65ec5990

bump to nightly-2023-04-17-14

mathlib commit https://github.com/leanprover-community/mathlib/commit/17ad94b4953419f3e3ce3e77da3239c62d1d09f0

ce473067

Diff

@@ -201,8 +201,7 @@ def Matrix.ToLieAlgebra :=
 
 namespace CartanMatrix
 
-/- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `«expr!![ » -/
-/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
+/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
 /-- The Cartan matrix of type e₆. See [bourbaki1968] plate V, page 277.
 
 The corresponding Dynkin diagram is:
@@ -213,12 +212,11 @@ o --- o --- o --- o --- o
 ```
 -/
 def e₆ : Matrix (Fin 6) (Fin 6) ℤ :=
-  «expr!![ »
-    "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation"
+  !![2, 0, -1, 0, 0, 0; 0, 2, 0, -1, 0, 0; -1, 0, 2, -1, 0, 0; 0, -1, -1, 2, -1, 0; 0, 0, 0, -1, 2,
+    -1; 0, 0, 0, 0, -1, 2]
 #align cartan_matrix.E₆ CartanMatrix.e₆
 
-/- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `«expr!![ » -/
-/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
+/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
 /-- The Cartan matrix of type e₇. See [bourbaki1968] plate VI, page 281.
 
 The corresponding Dynkin diagram is:
@@ -229,12 +227,11 @@ o --- o --- o --- o --- o --- o
 ```
 -/
 def e₇ : Matrix (Fin 7) (Fin 7) ℤ :=
-  «expr!![ »
-    "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation"
+  !![2, 0, -1, 0, 0, 0, 0; 0, 2, 0, -1, 0, 0, 0; -1, 0, 2, -1, 0, 0, 0; 0, -1, -1, 2, -1, 0, 0; 0,
+    0, 0, -1, 2, -1, 0; 0, 0, 0, 0, -1, 2, -1; 0, 0, 0, 0, 0, -1, 2]
 #align cartan_matrix.E₇ CartanMatrix.e₇
 
-/- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `«expr!![ » -/
-/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
+/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
 /-- The Cartan matrix of type e₈. See [bourbaki1968] plate VII, page 285.
 
 The corresponding Dynkin diagram is:
@@ -245,12 +242,12 @@ o --- o --- o --- o --- o --- o --- o
 ```
 -/
 def e₈ : Matrix (Fin 8) (Fin 8) ℤ :=
-  «expr!![ »
-    "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation"
+  !![2, 0, -1, 0, 0, 0, 0, 0; 0, 2, 0, -1, 0, 0, 0, 0; -1, 0, 2, -1, 0, 0, 0, 0; 0, -1, -1, 2, -1,
+    0, 0, 0; 0, 0, 0, -1, 2, -1, 0, 0; 0, 0, 0, 0, -1, 2, -1, 0; 0, 0, 0, 0, 0, -1, 2, -1; 0, 0, 0,
+    0, 0, 0, -1, 2]
 #align cartan_matrix.E₈ CartanMatrix.e₈
 
-/- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `«expr!![ » -/
-/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
+/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
 /-- The Cartan matrix of type f₄. See [bourbaki1968] plate VIII, page 288.
 
 The corresponding Dynkin diagram is:
@@ -259,12 +256,10 @@ o --- o =>= o --- o
 ```
 -/
 def f₄ : Matrix (Fin 4) (Fin 4) ℤ :=
-  «expr!![ »
-    "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation"
+  !![2, -1, 0, 0; -1, 2, -2, 0; 0, -1, 2, -1; 0, 0, -1, 2]
 #align cartan_matrix.F₄ CartanMatrix.f₄
 
-/- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `«expr!![ » -/
-/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
+/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
 /-- The Cartan matrix of type g₂. See [bourbaki1968] plate IX, page 290.
 
 The corresponding Dynkin diagram is:
@@ -274,8 +269,7 @@ o ≡>≡ o
 Actually we are using the transpose of Bourbaki's matrix. This is to make this matrix consistent
 with `cartan_matrix.F₄`, in the sense that all non-zero values below the diagonal are -1. -/
 def g₂ : Matrix (Fin 2) (Fin 2) ℤ :=
-  «expr!![ »
-    "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation"
+  !![2, -3; -1, 2]
 #align cartan_matrix.G₂ CartanMatrix.g₂
 
 end CartanMatrix

65ec5990

bump to nightly-2023-03-01-20

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

20cadee0

Diff

@@ -202,7 +202,7 @@ def Matrix.ToLieAlgebra :=
 namespace CartanMatrix
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `«expr!![ » -/
-/- ./././Mathport/Syntax/Translate/Expr.lean:391:14: unsupported user notation matrix.notation -/
+/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
 /-- The Cartan matrix of type e₆. See [bourbaki1968] plate V, page 277.
 
 The corresponding Dynkin diagram is:
@@ -214,11 +214,11 @@ o --- o --- o --- o --- o
 -/
 def e₆ : Matrix (Fin 6) (Fin 6) ℤ :=
   «expr!![ »
-    "./././Mathport/Syntax/Translate/Expr.lean:391:14: unsupported user notation matrix.notation"
+    "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation"
 #align cartan_matrix.E₆ CartanMatrix.e₆
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `«expr!![ » -/
-/- ./././Mathport/Syntax/Translate/Expr.lean:391:14: unsupported user notation matrix.notation -/
+/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
 /-- The Cartan matrix of type e₇. See [bourbaki1968] plate VI, page 281.
 
 The corresponding Dynkin diagram is:
@@ -230,11 +230,11 @@ o --- o --- o --- o --- o --- o
 -/
 def e₇ : Matrix (Fin 7) (Fin 7) ℤ :=
   «expr!![ »
-    "./././Mathport/Syntax/Translate/Expr.lean:391:14: unsupported user notation matrix.notation"
+    "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation"
 #align cartan_matrix.E₇ CartanMatrix.e₇
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `«expr!![ » -/
-/- ./././Mathport/Syntax/Translate/Expr.lean:391:14: unsupported user notation matrix.notation -/
+/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
 /-- The Cartan matrix of type e₈. See [bourbaki1968] plate VII, page 285.
 
 The corresponding Dynkin diagram is:
@@ -246,11 +246,11 @@ o --- o --- o --- o --- o --- o --- o
 -/
 def e₈ : Matrix (Fin 8) (Fin 8) ℤ :=
   «expr!![ »
-    "./././Mathport/Syntax/Translate/Expr.lean:391:14: unsupported user notation matrix.notation"
+    "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation"
 #align cartan_matrix.E₈ CartanMatrix.e₈
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `«expr!![ » -/
-/- ./././Mathport/Syntax/Translate/Expr.lean:391:14: unsupported user notation matrix.notation -/
+/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
 /-- The Cartan matrix of type f₄. See [bourbaki1968] plate VIII, page 288.
 
 The corresponding Dynkin diagram is:
@@ -260,11 +260,11 @@ o --- o =>= o --- o
 -/
 def f₄ : Matrix (Fin 4) (Fin 4) ℤ :=
   «expr!![ »
-    "./././Mathport/Syntax/Translate/Expr.lean:391:14: unsupported user notation matrix.notation"
+    "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation"
 #align cartan_matrix.F₄ CartanMatrix.f₄
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `«expr!![ » -/
-/- ./././Mathport/Syntax/Translate/Expr.lean:391:14: unsupported user notation matrix.notation -/
+/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
 /-- The Cartan matrix of type g₂. See [bourbaki1968] plate IX, page 290.
 
 The corresponding Dynkin diagram is:
@@ -275,7 +275,7 @@ Actually we are using the transpose of Bourbaki's matrix. This is to make this m
 with `cartan_matrix.F₄`, in the sense that all non-zero values below the diagonal are -1. -/
 def g₂ : Matrix (Fin 2) (Fin 2) ℤ :=
   «expr!![ »
-    "./././Mathport/Syntax/Translate/Expr.lean:391:14: unsupported user notation matrix.notation"
+    "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation"
 #align cartan_matrix.G₂ CartanMatrix.g₂
 
 end CartanMatrix

65ec5990

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

65ec5990

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

@@ -87,7 +87,6 @@ universe u v w
 noncomputable section
 
 variable (R : Type u) {B : Type v} [CommRing R] [DecidableEq B] [Fintype B]
-
 variable (A : Matrix B B ℤ)
 
 namespace CartanMatrix

65ec5990

chore: simplify by rfl (#7039)

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

8908a0a5

Diff

@@ -153,11 +153,11 @@ def adF : B × B → FreeLieAlgebra R (Generators B) :=
 #align cartan_matrix.relations.ad_F CartanMatrix.Relations.adF
 
 private theorem adE_of_eq_eq_zero (i : B) (h : A i i = 2) : adE R A ⟨i, i⟩ = 0 := by
-  have h' : (-2 : ℤ).toNat = 0 := by rfl
+  have h' : (-2 : ℤ).toNat = 0 := rfl
   simp [adE, h, h']
 
 private theorem adF_of_eq_eq_zero (i : B) (h : A i i = 2) : adF R A ⟨i, i⟩ = 0 := by
-  have h' : (-2 : ℤ).toNat = 0 := by rfl
+  have h' : (-2 : ℤ).toNat = 0 := rfl
   simp [adF, h, h']
 
 /-- The union of all the relations as a subset of the free Lie algebra. -/

65ec5990

refactor(Data/Matrix): Eliminate ⬝ notation in favor of HMul (#6487)

The main difficulty here is that * has a slightly difference precedence to ⬝. notably around smul and neg.

The other annoyance is that ↑U ⬝ A ⬝ ↑U⁻¹ : Matrix m m 𝔸 now has to be written U.val * A * (U⁻¹).val in order to typecheck.

A downside of this change to consider: if you have a goal of A * (B * C) = (A * B) * C, mul_assoc now gives the illusion of matching, when in fact Matrix.mul_assoc is needed. Previously the distinct symbol made it easy to avoid this mistake.

On the flipside, there is now no need to rewrite by Matrix.mul_eq_mul all the time (indeed, the lemma is now removed).

38c07226

Diff

@@ -35,7 +35,7 @@ Recall that a Cartan matrix is a square matrix of integers `A` such that:
  * For diagonal values we have: `A i i = 2`.
  * For off-diagonal values (`i ≠ j`) we have: `A i j ∈ {-3, -2, -1, 0}`.
  * `A i j = 0 ↔ A j i = 0`.
- * There exists a diagonal matrix `D` over ℝ such that `D ⬝ A ⬝ D⁻¹` is symmetric positive definite.
+ * There exists a diagonal matrix `D` over ℝ such that `D * A * D⁻¹` is symmetric positive definite.
 
 ## Alternative construction

65ec5990

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

@@ -2,16 +2,13 @@
 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_matrix
-! leanprover-community/mathlib commit 65ec59902eb17e4ab7da8d7e3d0bd9774d1b8b99
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Lie.Free
 import Mathlib.Algebra.Lie.Quotient
 import Mathlib.Data.Matrix.Notation
 
+#align_import algebra.lie.cartan_matrix from "leanprover-community/mathlib"@"65ec59902eb17e4ab7da8d7e3d0bd9774d1b8b99"
+
 /-!
 # Lie algebras from Cartan matrices

65ec5990

feat: port Algebra.Lie.CartanMatrix (#4930)

52608a67

`algebra.lie.cartan_matrix` ⟷ `Mathlib.Algebra.Lie.CartanMatrix`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 494

algebra.lie.cartan_matrix ⟷ Mathlib.Algebra.Lie.CartanMatrix

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 494

`algebra.lie.cartan_matrix` ⟷ `Mathlib.Algebra.Lie.CartanMatrix`