linear_algebra.matrix.invariant_basis_numberMathlib.LinearAlgebra.Matrix.InvariantBasisNumber

This file has been ported!

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.

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Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -3,8 +3,8 @@ Copyright (c) 2022 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
-import Mathbin.LinearAlgebra.Matrix.ToLin
-import Mathbin.LinearAlgebra.InvariantBasisNumber
+import LinearAlgebra.Matrix.ToLin
+import LinearAlgebra.InvariantBasisNumber
 
 #align_import linear_algebra.matrix.invariant_basis_number from "leanprover-community/mathlib"@"f2b757fc5c341d88741b9c4630b1e8ba973c5726"
 
Diff
@@ -2,15 +2,12 @@
 Copyright (c) 2022 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module linear_algebra.matrix.invariant_basis_number
-! 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.LinearAlgebra.Matrix.ToLin
 import Mathbin.LinearAlgebra.InvariantBasisNumber
 
+#align_import linear_algebra.matrix.invariant_basis_number from "leanprover-community/mathlib"@"f2b757fc5c341d88741b9c4630b1e8ba973c5726"
+
 /-!
 # Invertible matrices over a ring with invariant basis number are square.
 
Diff
@@ -25,8 +25,10 @@ variable {R : Type _} [Semiring R] [InvariantBasisNumber R]
 
 open scoped Matrix
 
+#print Matrix.square_of_invertible /-
 theorem Matrix.square_of_invertible (M : Matrix n m R) (N : Matrix m n R) (h : M ⬝ N = 1)
     (h' : N ⬝ M = 1) : Fintype.card n = Fintype.card m :=
   card_eq_of_linearEquiv R (Matrix.toLinearEquivRight'OfInv h' h)
 #align matrix.square_of_invertible Matrix.square_of_invertible
+-/
 
Diff
@@ -23,7 +23,7 @@ variable {n m : Type _} [Fintype n] [DecidableEq n] [Fintype m] [DecidableEq m]
 
 variable {R : Type _} [Semiring R] [InvariantBasisNumber R]
 
-open Matrix
+open scoped Matrix
 
 theorem Matrix.square_of_invertible (M : Matrix n m R) (N : Matrix m n R) (h : M ⬝ N = 1)
     (h' : N ⬝ M = 1) : Fintype.card n = Fintype.card m :=
Diff
@@ -25,12 +25,6 @@ variable {R : Type _} [Semiring R] [InvariantBasisNumber R]
 
 open Matrix
 
-/- warning: matrix.square_of_invertible -> Matrix.square_of_invertible is a dubious translation:
-lean 3 declaration is
-  forall {n : Type.{u1}} {m : Type.{u2}} [_inst_1 : Fintype.{u1} n] [_inst_2 : DecidableEq.{succ u1} n] [_inst_3 : Fintype.{u2} m] [_inst_4 : DecidableEq.{succ u2} m] {R : Type.{u3}} [_inst_5 : Semiring.{u3} R] [_inst_6 : InvariantBasisNumber.{u3} R _inst_5] (M : Matrix.{u1, u2, u3} n m R) (N : Matrix.{u2, u1, u3} m n R), (Eq.{succ (max u1 u3)} (Matrix.{u1, u1, u3} n n R) (Matrix.mul.{u3, u1, u2, u1} n m n R _inst_3 (Distrib.toHasMul.{u3} R (NonUnitalNonAssocSemiring.toDistrib.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_5)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_5))) M N) (OfNat.ofNat.{max u1 u3} (Matrix.{u1, u1, u3} n n R) 1 (OfNat.mk.{max u1 u3} (Matrix.{u1, u1, u3} n n R) 1 (One.one.{max u1 u3} (Matrix.{u1, u1, u3} n n R) (Matrix.hasOne.{u3, u1} n R (fun (a : n) (b : n) => _inst_2 a b) (MulZeroClass.toHasZero.{u3} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_5)))) (AddMonoidWithOne.toOne.{u3} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} R (NonAssocSemiring.toAddCommMonoidWithOne.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_5))))))))) -> (Eq.{succ (max u2 u3)} (Matrix.{u2, u2, u3} m m R) (Matrix.mul.{u3, u2, u1, u2} m n m R _inst_1 (Distrib.toHasMul.{u3} R (NonUnitalNonAssocSemiring.toDistrib.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_5)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_5))) N M) (OfNat.ofNat.{max u2 u3} (Matrix.{u2, u2, u3} m m R) 1 (OfNat.mk.{max u2 u3} (Matrix.{u2, u2, u3} m m R) 1 (One.one.{max u2 u3} (Matrix.{u2, u2, u3} m m R) (Matrix.hasOne.{u3, u2} m R (fun (a : m) (b : m) => _inst_4 a b) (MulZeroClass.toHasZero.{u3} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_5)))) (AddMonoidWithOne.toOne.{u3} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} R (NonAssocSemiring.toAddCommMonoidWithOne.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_5))))))))) -> (Eq.{1} Nat (Fintype.card.{u1} n _inst_1) (Fintype.card.{u2} m _inst_3))
-but is expected to have type
-  forall {n : Type.{u3}} {m : Type.{u2}} [_inst_1 : Fintype.{u3} n] [_inst_2 : DecidableEq.{succ u3} n] [_inst_3 : Fintype.{u2} m] [_inst_4 : DecidableEq.{succ u2} m] {R : Type.{u1}} [_inst_5 : Semiring.{u1} R] [_inst_6 : InvariantBasisNumber.{u1} R _inst_5] (M : Matrix.{u3, u2, u1} n m R) (N : Matrix.{u2, u3, u1} m n R), (Eq.{max (succ u3) (succ u1)} (Matrix.{u3, u3, u1} n n R) (Matrix.mul.{u1, u3, u2, u3} n m n R _inst_3 (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_5))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_5))) M N) (OfNat.ofNat.{max u3 u1} (Matrix.{u3, u3, u1} n n R) 1 (One.toOfNat1.{max u3 u1} (Matrix.{u3, u3, u1} n n R) (Matrix.one.{u1, u3} n R (fun (a : n) (b : n) => _inst_2 a b) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_5)) (Semiring.toOne.{u1} R _inst_5))))) -> (Eq.{max (succ u2) (succ u1)} (Matrix.{u2, u2, u1} m m R) (Matrix.mul.{u1, u2, u3, u2} m n m R _inst_1 (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_5))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_5))) N M) (OfNat.ofNat.{max u2 u1} (Matrix.{u2, u2, u1} m m R) 1 (One.toOfNat1.{max u2 u1} (Matrix.{u2, u2, u1} m m R) (Matrix.one.{u1, u2} m R (fun (a : m) (b : m) => _inst_4 a b) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_5)) (Semiring.toOne.{u1} R _inst_5))))) -> (Eq.{1} Nat (Fintype.card.{u3} n _inst_1) (Fintype.card.{u2} m _inst_3))
-Case conversion may be inaccurate. Consider using '#align matrix.square_of_invertible Matrix.square_of_invertibleₓ'. -/
 theorem Matrix.square_of_invertible (M : Matrix n m R) (N : Matrix m n R) (h : M ⬝ N = 1)
     (h' : N ⬝ M = 1) : Fintype.card n = Fintype.card m :=
   card_eq_of_linearEquiv R (Matrix.toLinearEquivRight'OfInv h' h)
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 
 ! This file was ported from Lean 3 source module linear_algebra.matrix.invariant_basis_number
-! leanprover-community/mathlib commit 843240b048bbb19942c581fd64caecbbe96337be
+! leanprover-community/mathlib commit f2b757fc5c341d88741b9c4630b1e8ba973c5726
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -13,6 +13,9 @@ import Mathbin.LinearAlgebra.InvariantBasisNumber
 
 /-!
 # Invertible matrices over a ring with invariant basis number are square.
+
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
 -/
 
 
Diff
@@ -22,6 +22,12 @@ variable {R : Type _} [Semiring R] [InvariantBasisNumber R]
 
 open Matrix
 
+/- warning: matrix.square_of_invertible -> Matrix.square_of_invertible is a dubious translation:
+lean 3 declaration is
+  forall {n : Type.{u1}} {m : Type.{u2}} [_inst_1 : Fintype.{u1} n] [_inst_2 : DecidableEq.{succ u1} n] [_inst_3 : Fintype.{u2} m] [_inst_4 : DecidableEq.{succ u2} m] {R : Type.{u3}} [_inst_5 : Semiring.{u3} R] [_inst_6 : InvariantBasisNumber.{u3} R _inst_5] (M : Matrix.{u1, u2, u3} n m R) (N : Matrix.{u2, u1, u3} m n R), (Eq.{succ (max u1 u3)} (Matrix.{u1, u1, u3} n n R) (Matrix.mul.{u3, u1, u2, u1} n m n R _inst_3 (Distrib.toHasMul.{u3} R (NonUnitalNonAssocSemiring.toDistrib.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_5)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_5))) M N) (OfNat.ofNat.{max u1 u3} (Matrix.{u1, u1, u3} n n R) 1 (OfNat.mk.{max u1 u3} (Matrix.{u1, u1, u3} n n R) 1 (One.one.{max u1 u3} (Matrix.{u1, u1, u3} n n R) (Matrix.hasOne.{u3, u1} n R (fun (a : n) (b : n) => _inst_2 a b) (MulZeroClass.toHasZero.{u3} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_5)))) (AddMonoidWithOne.toOne.{u3} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} R (NonAssocSemiring.toAddCommMonoidWithOne.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_5))))))))) -> (Eq.{succ (max u2 u3)} (Matrix.{u2, u2, u3} m m R) (Matrix.mul.{u3, u2, u1, u2} m n m R _inst_1 (Distrib.toHasMul.{u3} R (NonUnitalNonAssocSemiring.toDistrib.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_5)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_5))) N M) (OfNat.ofNat.{max u2 u3} (Matrix.{u2, u2, u3} m m R) 1 (OfNat.mk.{max u2 u3} (Matrix.{u2, u2, u3} m m R) 1 (One.one.{max u2 u3} (Matrix.{u2, u2, u3} m m R) (Matrix.hasOne.{u3, u2} m R (fun (a : m) (b : m) => _inst_4 a b) (MulZeroClass.toHasZero.{u3} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_5)))) (AddMonoidWithOne.toOne.{u3} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} R (NonAssocSemiring.toAddCommMonoidWithOne.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_5))))))))) -> (Eq.{1} Nat (Fintype.card.{u1} n _inst_1) (Fintype.card.{u2} m _inst_3))
+but is expected to have type
+  forall {n : Type.{u3}} {m : Type.{u2}} [_inst_1 : Fintype.{u3} n] [_inst_2 : DecidableEq.{succ u3} n] [_inst_3 : Fintype.{u2} m] [_inst_4 : DecidableEq.{succ u2} m] {R : Type.{u1}} [_inst_5 : Semiring.{u1} R] [_inst_6 : InvariantBasisNumber.{u1} R _inst_5] (M : Matrix.{u3, u2, u1} n m R) (N : Matrix.{u2, u3, u1} m n R), (Eq.{max (succ u3) (succ u1)} (Matrix.{u3, u3, u1} n n R) (Matrix.mul.{u1, u3, u2, u3} n m n R _inst_3 (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_5))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_5))) M N) (OfNat.ofNat.{max u3 u1} (Matrix.{u3, u3, u1} n n R) 1 (One.toOfNat1.{max u3 u1} (Matrix.{u3, u3, u1} n n R) (Matrix.one.{u1, u3} n R (fun (a : n) (b : n) => _inst_2 a b) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_5)) (Semiring.toOne.{u1} R _inst_5))))) -> (Eq.{max (succ u2) (succ u1)} (Matrix.{u2, u2, u1} m m R) (Matrix.mul.{u1, u2, u3, u2} m n m R _inst_1 (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_5))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_5))) N M) (OfNat.ofNat.{max u2 u1} (Matrix.{u2, u2, u1} m m R) 1 (One.toOfNat1.{max u2 u1} (Matrix.{u2, u2, u1} m m R) (Matrix.one.{u1, u2} m R (fun (a : m) (b : m) => _inst_4 a b) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_5)) (Semiring.toOne.{u1} R _inst_5))))) -> (Eq.{1} Nat (Fintype.card.{u3} n _inst_1) (Fintype.card.{u2} m _inst_3))
+Case conversion may be inaccurate. Consider using '#align matrix.square_of_invertible Matrix.square_of_invertibleₓ'. -/
 theorem Matrix.square_of_invertible (M : Matrix n m R) (N : Matrix m n R) (h : M ⬝ N = 1)
     (h' : N ⬝ M = 1) : Fintype.card n = Fintype.card m :=
   card_eq_of_linearEquiv R (Matrix.toLinearEquivRight'OfInv h' h)
Diff
@@ -24,6 +24,6 @@ open Matrix
 
 theorem Matrix.square_of_invertible (M : Matrix n m R) (N : Matrix m n R) (h : M ⬝ N = 1)
     (h' : N ⬝ M = 1) : Fintype.card n = Fintype.card m :=
-  card_eq_of_lequiv R (Matrix.toLinearEquivRight'OfInv h' h)
+  card_eq_of_linearEquiv R (Matrix.toLinearEquivRight'OfInv h' h)
 #align matrix.square_of_invertible Matrix.square_of_invertible
 

Changes in mathlib4

mathlib3
mathlib4
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)
Diff
@@ -14,7 +14,6 @@ import Mathlib.LinearAlgebra.InvariantBasisNumber
 
 
 variable {n m : Type*} [Fintype n] [DecidableEq n] [Fintype m] [DecidableEq m]
-
 variable {R : Type*} [Semiring R] [InvariantBasisNumber R]
 
 open Matrix
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).

Diff
@@ -19,8 +19,7 @@ variable {R : Type*} [Semiring R] [InvariantBasisNumber R]
 
 open Matrix
 
-theorem Matrix.square_of_invertible (M : Matrix n m R) (N : Matrix m n R) (h : M ⬝ N = 1)
-    (h' : N ⬝ M = 1) : Fintype.card n = Fintype.card m :=
+theorem Matrix.square_of_invertible (M : Matrix n m R) (N : Matrix m n R) (h : M * N = 1)
+    (h' : N * M = 1) : Fintype.card n = Fintype.card m :=
   card_eq_of_linearEquiv R (Matrix.toLinearEquivRight'OfInv h' h)
 #align matrix.square_of_invertible Matrix.square_of_invertible
-
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.

Diff
@@ -13,9 +13,9 @@ import Mathlib.LinearAlgebra.InvariantBasisNumber
 -/
 
 
-variable {n m : Type _} [Fintype n] [DecidableEq n] [Fintype m] [DecidableEq m]
+variable {n m : Type*} [Fintype n] [DecidableEq n] [Fintype m] [DecidableEq m]
 
-variable {R : Type _} [Semiring R] [InvariantBasisNumber R]
+variable {R : Type*} [Semiring R] [InvariantBasisNumber R]
 
 open Matrix
 
chore: script to replace headers with #align_import statements (#5979)

Open in Gitpod

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

Diff
@@ -2,15 +2,12 @@
 Copyright (c) 2022 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module linear_algebra.matrix.invariant_basis_number
-! leanprover-community/mathlib commit 843240b048bbb19942c581fd64caecbbe96337be
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.LinearAlgebra.Matrix.ToLin
 import Mathlib.LinearAlgebra.InvariantBasisNumber
 
+#align_import linear_algebra.matrix.invariant_basis_number from "leanprover-community/mathlib"@"843240b048bbb19942c581fd64caecbbe96337be"
+
 /-!
 # Invertible matrices over a ring with invariant basis number are square.
 -/
feat: port LinearAlgebra.Matrix.InvariantBasisNumber (#3697)

Dependencies 8 + 493

494 files ported (98.4%)
202511 lines ported (98.5%)
Show graph

The unported dependencies are