linear_algebra.matrix.finite_dimensional

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

b1c23399

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

f2b757fc

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,10 +3,10 @@ Copyright (c) 2019 Johannes Hölzl. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Patrick Massot, Casper Putz, Anne Baanen
 -/
-import Mathbin.Data.Matrix.Basic
-import Mathbin.LinearAlgebra.FiniteDimensional
-import Mathbin.LinearAlgebra.FreeModule.Finite.Matrix
-import Mathbin.LinearAlgebra.Matrix.ToLin
+import Data.Matrix.Basic
+import LinearAlgebra.FiniteDimensional
+import LinearAlgebra.FreeModule.Finite.Matrix
+import LinearAlgebra.Matrix.ToLin
 
 #align_import linear_algebra.matrix.finite_dimensional from "leanprover-community/mathlib"@"f2b757fc5c341d88741b9c4630b1e8ba973c5726"

f2b757fc

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,17 +2,14 @@
 Copyright (c) 2019 Johannes Hölzl. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Patrick Massot, Casper Putz, Anne Baanen
-
-! This file was ported from Lean 3 source module linear_algebra.matrix.finite_dimensional
-! leanprover-community/mathlib commit f2b757fc5c341d88741b9c4630b1e8ba973c5726
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Data.Matrix.Basic
 import Mathbin.LinearAlgebra.FiniteDimensional
 import Mathbin.LinearAlgebra.FreeModule.Finite.Matrix
 import Mathbin.LinearAlgebra.Matrix.ToLin
 
+#align_import linear_algebra.matrix.finite_dimensional from "leanprover-community/mathlib"@"f2b757fc5c341d88741b9c4630b1e8ba973c5726"
+
 /-!
 # The finite-dimensional space of matrices

f2b757fc

bump to nightly-2023-04-30-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/86d04064ca33ee3d3405fbfc497d494fd2dd4796

648ff713

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Patrick Massot, Casper Putz, Anne Baanen
 
 ! This file was ported from Lean 3 source module linear_algebra.matrix.finite_dimensional
-! leanprover-community/mathlib commit b1c23399f01266afe392a0d8f71f599a0dad4f7b
+! leanprover-community/mathlib commit f2b757fc5c341d88741b9c4630b1e8ba973c5726
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -16,6 +16,9 @@ import Mathbin.LinearAlgebra.Matrix.ToLin
 /-!
 # The finite-dimensional space of matrices
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file shows that `m` by `n` matrices form a finite-dimensional space.
 Note that this is proven more generally elsewhere over modules as `module.finite.matrix`; this file
 exists only to provide an entry in the instance list for `finite_dimensional`.

b1c23399

bump to nightly-2023-04-28-12

mathlib commit https://github.com/leanprover-community/mathlib/commit/fa78268d4d77cb2b2fbc89f0527e2e7807763780

e79952cf

Diff

@@ -55,18 +55,22 @@ variable {V : Type _} [AddCommGroup V] [Module K V] [FiniteDimensional K V]
 
 variable {W : Type _} [AddCommGroup W] [Module K W] [FiniteDimensional K W]
 
+#print LinearMap.finiteDimensional /-
 instance finiteDimensional : FiniteDimensional K (V →ₗ[K] W) :=
   Module.Finite.linearMap _ _
 #align linear_map.finite_dimensional LinearMap.finiteDimensional
+-/
 
 variable {A : Type _} [Ring A] [Algebra K A] [Module A V] [IsScalarTower K A V] [Module A W]
   [IsScalarTower K A W]
 
+#print LinearMap.finiteDimensional' /-
 /-- Linear maps over a `k`-algebra are finite dimensional (over `k`) if both the source and
 target are, as they form a subspace of all `k`-linear maps. -/
-instance finite_dimensional' : FiniteDimensional K (V →ₗ[A] W) :=
+instance finiteDimensional' : FiniteDimensional K (V →ₗ[A] W) :=
   FiniteDimensional.of_injective (restrictScalarsLinearMap K A V W) (restrictScalars_injective _)
-#align linear_map.finite_dimensional' LinearMap.finite_dimensional'
+#align linear_map.finite_dimensional' LinearMap.finiteDimensional'
+-/
 
 end LinearMap

b1c23399

bump to nightly-2023-04-10-02

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

e7234864

Diff

@@ -4,23 +4,26 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Patrick Massot, Casper Putz, Anne Baanen
 
 ! This file was ported from Lean 3 source module linear_algebra.matrix.finite_dimensional
-! leanprover-community/mathlib commit 1cfdf5f34e1044ecb65d10be753008baaf118edf
+! leanprover-community/mathlib commit b1c23399f01266afe392a0d8f71f599a0dad4f7b
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
 import Mathbin.Data.Matrix.Basic
 import Mathbin.LinearAlgebra.FiniteDimensional
+import Mathbin.LinearAlgebra.FreeModule.Finite.Matrix
+import Mathbin.LinearAlgebra.Matrix.ToLin
 
 /-!
 # The finite-dimensional space of matrices
 
-This file shows that `m` by `n` matrices form a finite-dimensional space,
-and proves the `finrank` of that space is equal to `card m * card n`.
+This file shows that `m` by `n` matrices form a finite-dimensional space.
+Note that this is proven more generally elsewhere over modules as `module.finite.matrix`; this file
+exists only to provide an entry in the instance list for `finite_dimensional`.
 
 ## Main definitions
 
  * `matrix.finite_dimensional`: matrices form a finite dimensional vector space over a field `K`
- * `matrix.finrank_matrix`: the `finrank` of `matrix m n R` is `card m * card n`
+ * `linear_map.finite_dimensional`
 
 ## Tags
 
@@ -38,19 +41,32 @@ section FiniteDimensional
 variable {m n : Type _} {R : Type v} [Field R]
 
 instance [Finite m] [Finite n] : FiniteDimensional R (Matrix m n R) :=
-  LinearEquiv.finiteDimensional (LinearEquiv.curry R m n)
-
-/-- The dimension of the space of finite dimensional matrices
-is the product of the number of rows and columns.
--/
-@[simp]
-theorem finrank_matrix [Fintype m] [Fintype n] :
-    FiniteDimensional.finrank R (Matrix m n R) = Fintype.card m * Fintype.card n := by
-  rw [@LinearEquiv.finrank_eq R (Matrix m n R) _ _ _ _ _ _ (LinearEquiv.curry R m n).symm,
-    FiniteDimensional.finrank_fintype_fun_eq_card, Fintype.card_prod]
-#align matrix.finrank_matrix Matrix.finrank_matrix
+  Module.Finite.matrix
 
 end FiniteDimensional
 
 end Matrix
 
+namespace LinearMap
+
+variable {K : Type _} [Field K]
+
+variable {V : Type _} [AddCommGroup V] [Module K V] [FiniteDimensional K V]
+
+variable {W : Type _} [AddCommGroup W] [Module K W] [FiniteDimensional K W]
+
+instance finiteDimensional : FiniteDimensional K (V →ₗ[K] W) :=
+  Module.Finite.linearMap _ _
+#align linear_map.finite_dimensional LinearMap.finiteDimensional
+
+variable {A : Type _} [Ring A] [Algebra K A] [Module A V] [IsScalarTower K A V] [Module A W]
+  [IsScalarTower K A W]
+
+/-- Linear maps over a `k`-algebra are finite dimensional (over `k`) if both the source and
+target are, as they form a subspace of all `k`-linear maps. -/
+instance finite_dimensional' : FiniteDimensional K (V →ₗ[A] W) :=
+  FiniteDimensional.of_injective (restrictScalarsLinearMap K A V W) (restrictScalars_injective _)
+#align linear_map.finite_dimensional' LinearMap.finite_dimensional'
+
+end LinearMap
+

1cfdf5f3

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

b1c23399

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

@@ -48,9 +48,7 @@ end Matrix
 namespace LinearMap
 
 variable {K : Type*} [Field K]
-
 variable {V : Type*} [AddCommGroup V] [Module K V] [FiniteDimensional K V]
-
 variable {W : Type*} [AddCommGroup W] [Module K W] [FiniteDimensional K W]
 
 instance finiteDimensional : FiniteDimensional K (V →ₗ[K] W) :=

b1c23399

chore: reduce imports (#9830)

This uses the improved shake script from #9772 to reduce imports across mathlib. The corresponding noshake.json file has been added to #9772.

Co-authored-by: Mario Carneiro <di.gama@gmail.com>

f4c4ca61

Diff

@@ -7,6 +7,7 @@ import Mathlib.Data.Matrix.Basic
 import Mathlib.LinearAlgebra.FiniteDimensional
 import Mathlib.LinearAlgebra.FreeModule.Finite.Matrix
 import Mathlib.LinearAlgebra.Matrix.ToLin
+import Mathlib.Algebra.Module.Algebra
 
 #align_import linear_algebra.matrix.finite_dimensional from "leanprover-community/mathlib"@"b1c23399f01266afe392a0d8f71f599a0dad4f7b"

b1c23399

feat(LinearAlgebra): generalize results about Module.rank of LinearMap. (#9677)

LinearAlgebra/LinearIndependent: generalize linearIndependent_algHom_toLinearMap(') to allow different domain and codomain of the AlgHom.

LinearAlgebra/Basic: add LinearEquiv.congrLeft that works for two rings with commuting actions on the codomain.

LinearAlgebra/FreeModule/Finite/Matrix: generalize Module.Free.linearMap, Module.Finite.linearMap, and FiniteDimensional.finrank_linearMap to work with two different rings that may be noncommutative. Add FiniteDimensional.rank_linearMap, FiniteDimensional.(fin)rank_linearMap_self, and card/cardinal_mk_algHom_le_rank.

FieldTheory/Tower: remove the instance LinearMap.finite_dimensional'' which becomes redundant; mark finrank_linear_map' as deprecated (superseded by finrank_linearMap_self.

Co-authored-by: Junyan Xu <junyanxu.math@gmail.com>

56178f0a

Diff

@@ -53,7 +53,7 @@ variable {V : Type*} [AddCommGroup V] [Module K V] [FiniteDimensional K V]
 variable {W : Type*} [AddCommGroup W] [Module K W] [FiniteDimensional K W]
 
 instance finiteDimensional : FiniteDimensional K (V →ₗ[K] W) :=
-  Module.Finite.linearMap _ _
+  Module.Finite.linearMap _ _ _ _
 #align linear_map.finite_dimensional LinearMap.finiteDimensional
 
 variable {A : Type*} [Ring A] [Algebra K A] [Module A V] [IsScalarTower K A V] [Module A W]

b1c23399

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

@@ -35,7 +35,7 @@ namespace Matrix
 
 section FiniteDimensional
 
-variable {m n : Type _} {R : Type v} [Field R]
+variable {m n : Type*} {R : Type v} [Field R]
 
 instance finiteDimensional [Finite m] [Finite n] : FiniteDimensional R (Matrix m n R) :=
   Module.Finite.matrix
@@ -46,17 +46,17 @@ end Matrix
 
 namespace LinearMap
 
-variable {K : Type _} [Field K]
+variable {K : Type*} [Field K]
 
-variable {V : Type _} [AddCommGroup V] [Module K V] [FiniteDimensional K V]
+variable {V : Type*} [AddCommGroup V] [Module K V] [FiniteDimensional K V]
 
-variable {W : Type _} [AddCommGroup W] [Module K W] [FiniteDimensional K W]
+variable {W : Type*} [AddCommGroup W] [Module K W] [FiniteDimensional K W]
 
 instance finiteDimensional : FiniteDimensional K (V →ₗ[K] W) :=
   Module.Finite.linearMap _ _
 #align linear_map.finite_dimensional LinearMap.finiteDimensional
 
-variable {A : Type _} [Ring A] [Algebra K A] [Module A V] [IsScalarTower K A V] [Module A W]
+variable {A : Type*} [Ring A] [Algebra K A] [Module A V] [IsScalarTower K A V] [Module A W]
   [IsScalarTower K A W]
 
 /-- Linear maps over a `k`-algebra are finite dimensional (over `k`) if both the source and

b1c23399

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

@@ -2,17 +2,14 @@
 Copyright (c) 2019 Johannes Hölzl. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Patrick Massot, Casper Putz, Anne Baanen
-
-! This file was ported from Lean 3 source module linear_algebra.matrix.finite_dimensional
-! leanprover-community/mathlib commit b1c23399f01266afe392a0d8f71f599a0dad4f7b
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Data.Matrix.Basic
 import Mathlib.LinearAlgebra.FiniteDimensional
 import Mathlib.LinearAlgebra.FreeModule.Finite.Matrix
 import Mathlib.LinearAlgebra.Matrix.ToLin
 
+#align_import linear_algebra.matrix.finite_dimensional from "leanprover-community/mathlib"@"b1c23399f01266afe392a0d8f71f599a0dad4f7b"
+
 /-!
 # The finite-dimensional space of matrices

b1c23399

chore: reenable eta, bump to nightly 2023-05-16 (#3414)

Now that leanprover/lean4#2210 has been merged, this PR:

removes all the set_option synthInstance.etaExperiment true commands (and some etaExperiment% term elaborators)
removes many but not quite all set_option maxHeartbeats commands
makes various other changes required to cope with leanprover/lean4#2210.

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Matthew Ballard <matt@mrb.email>

a6e1045f

Diff

@@ -55,7 +55,6 @@ variable {V : Type _} [AddCommGroup V] [Module K V] [FiniteDimensional K V]
 
 variable {W : Type _} [AddCommGroup W] [Module K W] [FiniteDimensional K W]
 
-set_option synthInstance.etaExperiment true in
 instance finiteDimensional : FiniteDimensional K (V →ₗ[K] W) :=
   Module.Finite.linearMap _ _
 #align linear_map.finite_dimensional LinearMap.finiteDimensional
@@ -63,8 +62,6 @@ instance finiteDimensional : FiniteDimensional K (V →ₗ[K] W) :=
 variable {A : Type _} [Ring A] [Algebra K A] [Module A V] [IsScalarTower K A V] [Module A W]
   [IsScalarTower K A W]
 
-set_option synthInstance.maxHeartbeats 50000 in
-set_option synthInstance.etaExperiment true in
 /-- Linear maps over a `k`-algebra are finite dimensional (over `k`) if both the source and
 target are, as they form a subspace of all `k`-linear maps. -/
 instance finiteDimensional' : FiniteDimensional K (V →ₗ[A] W) :=

b1c23399

feat: port LinearAlgebra.Matrix.FiniteDimensional (#3698)

7702b8f7

`linear_algebra.matrix.finite_dimensional` ⟷ `Mathlib.LinearAlgebra.Matrix.FiniteDimensional`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 10 + 520

linear_algebra.matrix.finite_dimensional ⟷ Mathlib.LinearAlgebra.Matrix.FiniteDimensional

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 10 + 520

`linear_algebra.matrix.finite_dimensional` ⟷ `Mathlib.LinearAlgebra.Matrix.FiniteDimensional`