linear_algebra.matrix.orthogonalMathlib.LinearAlgebra.Matrix.Orthogonal

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.

Changes in mathlib3

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Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -3,7 +3,7 @@ Copyright (c) 2021 Lu-Ming Zhang. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Lu-Ming Zhang
 -/
-import Mathbin.Data.Matrix.Basic
+import Data.Matrix.Basic
 
 #align_import linear_algebra.matrix.orthogonal from "leanprover-community/mathlib"@"d64d67d000b974f0d86a2be7918cf800be6271c8"
 
Diff
@@ -2,14 +2,11 @@
 Copyright (c) 2021 Lu-Ming Zhang. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Lu-Ming Zhang
-
-! This file was ported from Lean 3 source module linear_algebra.matrix.orthogonal
-! leanprover-community/mathlib commit d64d67d000b974f0d86a2be7918cf800be6271c8
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Data.Matrix.Basic
 
+#align_import linear_algebra.matrix.orthogonal from "leanprover-community/mathlib"@"d64d67d000b974f0d86a2be7918cf800be6271c8"
+
 /-!
 # Orthogonal
 
Diff
@@ -57,41 +57,53 @@ def HasOrthogonalCols [Fintype m] : Prop :=
 #align matrix.has_orthogonal_cols Matrix.HasOrthogonalCols
 -/
 
+#print Matrix.transpose_hasOrthogonalRows_iff_hasOrthogonalCols /-
 /-- `Aᵀ` has orthogonal rows iff `A` has orthogonal columns. -/
 @[simp]
 theorem transpose_hasOrthogonalRows_iff_hasOrthogonalCols [Fintype m] :
     Aᵀ.HasOrthogonalRows ↔ A.HasOrthogonalCols :=
   Iff.rfl
 #align matrix.transpose_has_orthogonal_rows_iff_has_orthogonal_cols Matrix.transpose_hasOrthogonalRows_iff_hasOrthogonalCols
+-/
 
+#print Matrix.transpose_hasOrthogonalCols_iff_hasOrthogonalRows /-
 /-- `Aᵀ` has orthogonal columns iff `A` has orthogonal rows. -/
 @[simp]
 theorem transpose_hasOrthogonalCols_iff_hasOrthogonalRows [Fintype n] :
     Aᵀ.HasOrthogonalCols ↔ A.HasOrthogonalRows :=
   Iff.rfl
 #align matrix.transpose_has_orthogonal_cols_iff_has_orthogonal_rows Matrix.transpose_hasOrthogonalCols_iff_hasOrthogonalRows
+-/
 
 variable {A}
 
+#print Matrix.HasOrthogonalRows.hasOrthogonalCols /-
 theorem HasOrthogonalRows.hasOrthogonalCols [Fintype m] (h : Aᵀ.HasOrthogonalRows) :
     A.HasOrthogonalCols :=
   h
 #align matrix.has_orthogonal_rows.has_orthogonal_cols Matrix.HasOrthogonalRows.hasOrthogonalCols
+-/
 
+#print Matrix.HasOrthogonalCols.transpose_hasOrthogonalRows /-
 theorem HasOrthogonalCols.transpose_hasOrthogonalRows [Fintype m] (h : A.HasOrthogonalCols) :
     Aᵀ.HasOrthogonalRows :=
   h
 #align matrix.has_orthogonal_cols.transpose_has_orthogonal_rows Matrix.HasOrthogonalCols.transpose_hasOrthogonalRows
+-/
 
+#print Matrix.HasOrthogonalCols.hasOrthogonalRows /-
 theorem HasOrthogonalCols.hasOrthogonalRows [Fintype n] (h : Aᵀ.HasOrthogonalCols) :
     A.HasOrthogonalRows :=
   h
 #align matrix.has_orthogonal_cols.has_orthogonal_rows Matrix.HasOrthogonalCols.hasOrthogonalRows
+-/
 
+#print Matrix.HasOrthogonalRows.transpose_hasOrthogonalCols /-
 theorem HasOrthogonalRows.transpose_hasOrthogonalCols [Fintype n] (h : A.HasOrthogonalRows) :
     Aᵀ.HasOrthogonalCols :=
   h
 #align matrix.has_orthogonal_rows.transpose_has_orthogonal_cols Matrix.HasOrthogonalRows.transpose_hasOrthogonalCols
+-/
 
 end Matrix
 
Diff
@@ -39,7 +39,7 @@ variable [Mul α] [AddCommMonoid α]
 
 variable (A : Matrix m n α)
 
-open Matrix
+open scoped Matrix
 
 #print Matrix.HasOrthogonalRows /-
 /-- `A.has_orthogonal_rows` means matrix `A` has orthogonal rows (with respect to
Diff
@@ -57,12 +57,6 @@ def HasOrthogonalCols [Fintype m] : Prop :=
 #align matrix.has_orthogonal_cols Matrix.HasOrthogonalCols
 -/
 
-/- warning: matrix.transpose_has_orthogonal_rows_iff_has_orthogonal_cols -> Matrix.transpose_hasOrthogonalRows_iff_hasOrthogonalCols is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} {n : Type.{u2}} {m : Type.{u3}} [_inst_1 : Mul.{u1} α] [_inst_2 : AddCommMonoid.{u1} α] (A : Matrix.{u3, u2, u1} m n α) [_inst_3 : Fintype.{u3} m], Iff (Matrix.HasOrthogonalRows.{u1, u3, u2} α m n _inst_1 _inst_2 (Matrix.transpose.{u1, u3, u2} m n α A) _inst_3) (Matrix.HasOrthogonalCols.{u1, u2, u3} α n m _inst_1 _inst_2 A _inst_3)
-but is expected to have type
-  forall {α : Type.{u2}} {n : Type.{u1}} {m : Type.{u3}} [_inst_1 : Mul.{u2} α] [_inst_2 : AddCommMonoid.{u2} α] (A : Matrix.{u3, u1, u2} m n α) [_inst_3 : Fintype.{u3} m], Iff (Matrix.HasOrthogonalRows.{u2, u3, u1} α m n _inst_1 _inst_2 (Matrix.transpose.{u2, u3, u1} m n α A) _inst_3) (Matrix.HasOrthogonalCols.{u2, u1, u3} α n m _inst_1 _inst_2 A _inst_3)
-Case conversion may be inaccurate. Consider using '#align matrix.transpose_has_orthogonal_rows_iff_has_orthogonal_cols Matrix.transpose_hasOrthogonalRows_iff_hasOrthogonalColsₓ'. -/
 /-- `Aᵀ` has orthogonal rows iff `A` has orthogonal columns. -/
 @[simp]
 theorem transpose_hasOrthogonalRows_iff_hasOrthogonalCols [Fintype m] :
@@ -70,12 +64,6 @@ theorem transpose_hasOrthogonalRows_iff_hasOrthogonalCols [Fintype m] :
   Iff.rfl
 #align matrix.transpose_has_orthogonal_rows_iff_has_orthogonal_cols Matrix.transpose_hasOrthogonalRows_iff_hasOrthogonalCols
 
-/- warning: matrix.transpose_has_orthogonal_cols_iff_has_orthogonal_rows -> Matrix.transpose_hasOrthogonalCols_iff_hasOrthogonalRows is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} {n : Type.{u2}} {m : Type.{u3}} [_inst_1 : Mul.{u1} α] [_inst_2 : AddCommMonoid.{u1} α] (A : Matrix.{u3, u2, u1} m n α) [_inst_3 : Fintype.{u2} n], Iff (Matrix.HasOrthogonalCols.{u1, u3, u2} α m n _inst_1 _inst_2 (Matrix.transpose.{u1, u3, u2} m n α A) _inst_3) (Matrix.HasOrthogonalRows.{u1, u2, u3} α n m _inst_1 _inst_2 A _inst_3)
-but is expected to have type
-  forall {α : Type.{u2}} {n : Type.{u3}} {m : Type.{u1}} [_inst_1 : Mul.{u2} α] [_inst_2 : AddCommMonoid.{u2} α] (A : Matrix.{u1, u3, u2} m n α) [_inst_3 : Fintype.{u3} n], Iff (Matrix.HasOrthogonalCols.{u2, u1, u3} α m n _inst_1 _inst_2 (Matrix.transpose.{u2, u1, u3} m n α A) _inst_3) (Matrix.HasOrthogonalRows.{u2, u3, u1} α n m _inst_1 _inst_2 A _inst_3)
-Case conversion may be inaccurate. Consider using '#align matrix.transpose_has_orthogonal_cols_iff_has_orthogonal_rows Matrix.transpose_hasOrthogonalCols_iff_hasOrthogonalRowsₓ'. -/
 /-- `Aᵀ` has orthogonal columns iff `A` has orthogonal rows. -/
 @[simp]
 theorem transpose_hasOrthogonalCols_iff_hasOrthogonalRows [Fintype n] :
@@ -85,45 +73,21 @@ theorem transpose_hasOrthogonalCols_iff_hasOrthogonalRows [Fintype n] :
 
 variable {A}
 
-/- warning: matrix.has_orthogonal_rows.has_orthogonal_cols -> Matrix.HasOrthogonalRows.hasOrthogonalCols is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} {n : Type.{u2}} {m : Type.{u3}} [_inst_1 : Mul.{u1} α] [_inst_2 : AddCommMonoid.{u1} α] {A : Matrix.{u3, u2, u1} m n α} [_inst_3 : Fintype.{u3} m], (Matrix.HasOrthogonalRows.{u1, u3, u2} α m n _inst_1 _inst_2 (Matrix.transpose.{u1, u3, u2} m n α A) _inst_3) -> (Matrix.HasOrthogonalCols.{u1, u2, u3} α n m _inst_1 _inst_2 A _inst_3)
-but is expected to have type
-  forall {α : Type.{u2}} {n : Type.{u1}} {m : Type.{u3}} [_inst_1 : Mul.{u2} α] [_inst_2 : AddCommMonoid.{u2} α] {A : Matrix.{u3, u1, u2} m n α} [_inst_3 : Fintype.{u3} m], (Matrix.HasOrthogonalRows.{u2, u3, u1} α m n _inst_1 _inst_2 (Matrix.transpose.{u2, u3, u1} m n α A) _inst_3) -> (Matrix.HasOrthogonalCols.{u2, u1, u3} α n m _inst_1 _inst_2 A _inst_3)
-Case conversion may be inaccurate. Consider using '#align matrix.has_orthogonal_rows.has_orthogonal_cols Matrix.HasOrthogonalRows.hasOrthogonalColsₓ'. -/
 theorem HasOrthogonalRows.hasOrthogonalCols [Fintype m] (h : Aᵀ.HasOrthogonalRows) :
     A.HasOrthogonalCols :=
   h
 #align matrix.has_orthogonal_rows.has_orthogonal_cols Matrix.HasOrthogonalRows.hasOrthogonalCols
 
-/- warning: matrix.has_orthogonal_cols.transpose_has_orthogonal_rows -> Matrix.HasOrthogonalCols.transpose_hasOrthogonalRows is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} {n : Type.{u2}} {m : Type.{u3}} [_inst_1 : Mul.{u1} α] [_inst_2 : AddCommMonoid.{u1} α] {A : Matrix.{u3, u2, u1} m n α} [_inst_3 : Fintype.{u3} m], (Matrix.HasOrthogonalCols.{u1, u2, u3} α n m _inst_1 _inst_2 A _inst_3) -> (Matrix.HasOrthogonalRows.{u1, u3, u2} α m n _inst_1 _inst_2 (Matrix.transpose.{u1, u3, u2} m n α A) _inst_3)
-but is expected to have type
-  forall {α : Type.{u2}} {n : Type.{u1}} {m : Type.{u3}} [_inst_1 : Mul.{u2} α] [_inst_2 : AddCommMonoid.{u2} α] {A : Matrix.{u3, u1, u2} m n α} [_inst_3 : Fintype.{u3} m], (Matrix.HasOrthogonalCols.{u2, u1, u3} α n m _inst_1 _inst_2 A _inst_3) -> (Matrix.HasOrthogonalRows.{u2, u3, u1} α m n _inst_1 _inst_2 (Matrix.transpose.{u2, u3, u1} m n α A) _inst_3)
-Case conversion may be inaccurate. Consider using '#align matrix.has_orthogonal_cols.transpose_has_orthogonal_rows Matrix.HasOrthogonalCols.transpose_hasOrthogonalRowsₓ'. -/
 theorem HasOrthogonalCols.transpose_hasOrthogonalRows [Fintype m] (h : A.HasOrthogonalCols) :
     Aᵀ.HasOrthogonalRows :=
   h
 #align matrix.has_orthogonal_cols.transpose_has_orthogonal_rows Matrix.HasOrthogonalCols.transpose_hasOrthogonalRows
 
-/- warning: matrix.has_orthogonal_cols.has_orthogonal_rows -> Matrix.HasOrthogonalCols.hasOrthogonalRows is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} {n : Type.{u2}} {m : Type.{u3}} [_inst_1 : Mul.{u1} α] [_inst_2 : AddCommMonoid.{u1} α] {A : Matrix.{u3, u2, u1} m n α} [_inst_3 : Fintype.{u2} n], (Matrix.HasOrthogonalCols.{u1, u3, u2} α m n _inst_1 _inst_2 (Matrix.transpose.{u1, u3, u2} m n α A) _inst_3) -> (Matrix.HasOrthogonalRows.{u1, u2, u3} α n m _inst_1 _inst_2 A _inst_3)
-but is expected to have type
-  forall {α : Type.{u2}} {n : Type.{u3}} {m : Type.{u1}} [_inst_1 : Mul.{u2} α] [_inst_2 : AddCommMonoid.{u2} α] {A : Matrix.{u1, u3, u2} m n α} [_inst_3 : Fintype.{u3} n], (Matrix.HasOrthogonalCols.{u2, u1, u3} α m n _inst_1 _inst_2 (Matrix.transpose.{u2, u1, u3} m n α A) _inst_3) -> (Matrix.HasOrthogonalRows.{u2, u3, u1} α n m _inst_1 _inst_2 A _inst_3)
-Case conversion may be inaccurate. Consider using '#align matrix.has_orthogonal_cols.has_orthogonal_rows Matrix.HasOrthogonalCols.hasOrthogonalRowsₓ'. -/
 theorem HasOrthogonalCols.hasOrthogonalRows [Fintype n] (h : Aᵀ.HasOrthogonalCols) :
     A.HasOrthogonalRows :=
   h
 #align matrix.has_orthogonal_cols.has_orthogonal_rows Matrix.HasOrthogonalCols.hasOrthogonalRows
 
-/- warning: matrix.has_orthogonal_rows.transpose_has_orthogonal_cols -> Matrix.HasOrthogonalRows.transpose_hasOrthogonalCols is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} {n : Type.{u2}} {m : Type.{u3}} [_inst_1 : Mul.{u1} α] [_inst_2 : AddCommMonoid.{u1} α] {A : Matrix.{u3, u2, u1} m n α} [_inst_3 : Fintype.{u2} n], (Matrix.HasOrthogonalRows.{u1, u2, u3} α n m _inst_1 _inst_2 A _inst_3) -> (Matrix.HasOrthogonalCols.{u1, u3, u2} α m n _inst_1 _inst_2 (Matrix.transpose.{u1, u3, u2} m n α A) _inst_3)
-but is expected to have type
-  forall {α : Type.{u2}} {n : Type.{u3}} {m : Type.{u1}} [_inst_1 : Mul.{u2} α] [_inst_2 : AddCommMonoid.{u2} α] {A : Matrix.{u1, u3, u2} m n α} [_inst_3 : Fintype.{u3} n], (Matrix.HasOrthogonalRows.{u2, u3, u1} α n m _inst_1 _inst_2 A _inst_3) -> (Matrix.HasOrthogonalCols.{u2, u1, u3} α m n _inst_1 _inst_2 (Matrix.transpose.{u2, u1, u3} m n α A) _inst_3)
-Case conversion may be inaccurate. Consider using '#align matrix.has_orthogonal_rows.transpose_has_orthogonal_cols Matrix.HasOrthogonalRows.transpose_hasOrthogonalColsₓ'. -/
 theorem HasOrthogonalRows.transpose_hasOrthogonalCols [Fintype n] (h : A.HasOrthogonalRows) :
     Aᵀ.HasOrthogonalCols :=
   h
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Lu-Ming Zhang
 
 ! This file was ported from Lean 3 source module linear_algebra.matrix.orthogonal
-! leanprover-community/mathlib commit 790e98fbb5ec433d89d833320954607e79ae9071
+! leanprover-community/mathlib commit d64d67d000b974f0d86a2be7918cf800be6271c8
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -13,6 +13,9 @@ import Mathbin.Data.Matrix.Basic
 /-!
 # Orthogonal
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file contains definitions and properties concerning orthogonality of rows and columns.
 
 ## Main results
Diff
@@ -38,18 +38,28 @@ variable (A : Matrix m n α)
 
 open Matrix
 
+#print Matrix.HasOrthogonalRows /-
 /-- `A.has_orthogonal_rows` means matrix `A` has orthogonal rows (with respect to
 `matrix.dot_product`). -/
 def HasOrthogonalRows [Fintype n] : Prop :=
   ∀ ⦃i₁ i₂⦄, i₁ ≠ i₂ → dotProduct (A i₁) (A i₂) = 0
 #align matrix.has_orthogonal_rows Matrix.HasOrthogonalRows
+-/
 
+#print Matrix.HasOrthogonalCols /-
 /-- `A.has_orthogonal_rows` means matrix `A` has orthogonal columns (with respect to
 `matrix.dot_product`). -/
 def HasOrthogonalCols [Fintype m] : Prop :=
   HasOrthogonalRows Aᵀ
 #align matrix.has_orthogonal_cols Matrix.HasOrthogonalCols
+-/
 
+/- warning: matrix.transpose_has_orthogonal_rows_iff_has_orthogonal_cols -> Matrix.transpose_hasOrthogonalRows_iff_hasOrthogonalCols is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {n : Type.{u2}} {m : Type.{u3}} [_inst_1 : Mul.{u1} α] [_inst_2 : AddCommMonoid.{u1} α] (A : Matrix.{u3, u2, u1} m n α) [_inst_3 : Fintype.{u3} m], Iff (Matrix.HasOrthogonalRows.{u1, u3, u2} α m n _inst_1 _inst_2 (Matrix.transpose.{u1, u3, u2} m n α A) _inst_3) (Matrix.HasOrthogonalCols.{u1, u2, u3} α n m _inst_1 _inst_2 A _inst_3)
+but is expected to have type
+  forall {α : Type.{u2}} {n : Type.{u1}} {m : Type.{u3}} [_inst_1 : Mul.{u2} α] [_inst_2 : AddCommMonoid.{u2} α] (A : Matrix.{u3, u1, u2} m n α) [_inst_3 : Fintype.{u3} m], Iff (Matrix.HasOrthogonalRows.{u2, u3, u1} α m n _inst_1 _inst_2 (Matrix.transpose.{u2, u3, u1} m n α A) _inst_3) (Matrix.HasOrthogonalCols.{u2, u1, u3} α n m _inst_1 _inst_2 A _inst_3)
+Case conversion may be inaccurate. Consider using '#align matrix.transpose_has_orthogonal_rows_iff_has_orthogonal_cols Matrix.transpose_hasOrthogonalRows_iff_hasOrthogonalColsₓ'. -/
 /-- `Aᵀ` has orthogonal rows iff `A` has orthogonal columns. -/
 @[simp]
 theorem transpose_hasOrthogonalRows_iff_hasOrthogonalCols [Fintype m] :
@@ -57,6 +67,12 @@ theorem transpose_hasOrthogonalRows_iff_hasOrthogonalCols [Fintype m] :
   Iff.rfl
 #align matrix.transpose_has_orthogonal_rows_iff_has_orthogonal_cols Matrix.transpose_hasOrthogonalRows_iff_hasOrthogonalCols
 
+/- warning: matrix.transpose_has_orthogonal_cols_iff_has_orthogonal_rows -> Matrix.transpose_hasOrthogonalCols_iff_hasOrthogonalRows is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {n : Type.{u2}} {m : Type.{u3}} [_inst_1 : Mul.{u1} α] [_inst_2 : AddCommMonoid.{u1} α] (A : Matrix.{u3, u2, u1} m n α) [_inst_3 : Fintype.{u2} n], Iff (Matrix.HasOrthogonalCols.{u1, u3, u2} α m n _inst_1 _inst_2 (Matrix.transpose.{u1, u3, u2} m n α A) _inst_3) (Matrix.HasOrthogonalRows.{u1, u2, u3} α n m _inst_1 _inst_2 A _inst_3)
+but is expected to have type
+  forall {α : Type.{u2}} {n : Type.{u3}} {m : Type.{u1}} [_inst_1 : Mul.{u2} α] [_inst_2 : AddCommMonoid.{u2} α] (A : Matrix.{u1, u3, u2} m n α) [_inst_3 : Fintype.{u3} n], Iff (Matrix.HasOrthogonalCols.{u2, u1, u3} α m n _inst_1 _inst_2 (Matrix.transpose.{u2, u1, u3} m n α A) _inst_3) (Matrix.HasOrthogonalRows.{u2, u3, u1} α n m _inst_1 _inst_2 A _inst_3)
+Case conversion may be inaccurate. Consider using '#align matrix.transpose_has_orthogonal_cols_iff_has_orthogonal_rows Matrix.transpose_hasOrthogonalCols_iff_hasOrthogonalRowsₓ'. -/
 /-- `Aᵀ` has orthogonal columns iff `A` has orthogonal rows. -/
 @[simp]
 theorem transpose_hasOrthogonalCols_iff_hasOrthogonalRows [Fintype n] :
@@ -66,21 +82,45 @@ theorem transpose_hasOrthogonalCols_iff_hasOrthogonalRows [Fintype n] :
 
 variable {A}
 
+/- warning: matrix.has_orthogonal_rows.has_orthogonal_cols -> Matrix.HasOrthogonalRows.hasOrthogonalCols is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {n : Type.{u2}} {m : Type.{u3}} [_inst_1 : Mul.{u1} α] [_inst_2 : AddCommMonoid.{u1} α] {A : Matrix.{u3, u2, u1} m n α} [_inst_3 : Fintype.{u3} m], (Matrix.HasOrthogonalRows.{u1, u3, u2} α m n _inst_1 _inst_2 (Matrix.transpose.{u1, u3, u2} m n α A) _inst_3) -> (Matrix.HasOrthogonalCols.{u1, u2, u3} α n m _inst_1 _inst_2 A _inst_3)
+but is expected to have type
+  forall {α : Type.{u2}} {n : Type.{u1}} {m : Type.{u3}} [_inst_1 : Mul.{u2} α] [_inst_2 : AddCommMonoid.{u2} α] {A : Matrix.{u3, u1, u2} m n α} [_inst_3 : Fintype.{u3} m], (Matrix.HasOrthogonalRows.{u2, u3, u1} α m n _inst_1 _inst_2 (Matrix.transpose.{u2, u3, u1} m n α A) _inst_3) -> (Matrix.HasOrthogonalCols.{u2, u1, u3} α n m _inst_1 _inst_2 A _inst_3)
+Case conversion may be inaccurate. Consider using '#align matrix.has_orthogonal_rows.has_orthogonal_cols Matrix.HasOrthogonalRows.hasOrthogonalColsₓ'. -/
 theorem HasOrthogonalRows.hasOrthogonalCols [Fintype m] (h : Aᵀ.HasOrthogonalRows) :
     A.HasOrthogonalCols :=
   h
 #align matrix.has_orthogonal_rows.has_orthogonal_cols Matrix.HasOrthogonalRows.hasOrthogonalCols
 
+/- warning: matrix.has_orthogonal_cols.transpose_has_orthogonal_rows -> Matrix.HasOrthogonalCols.transpose_hasOrthogonalRows is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {n : Type.{u2}} {m : Type.{u3}} [_inst_1 : Mul.{u1} α] [_inst_2 : AddCommMonoid.{u1} α] {A : Matrix.{u3, u2, u1} m n α} [_inst_3 : Fintype.{u3} m], (Matrix.HasOrthogonalCols.{u1, u2, u3} α n m _inst_1 _inst_2 A _inst_3) -> (Matrix.HasOrthogonalRows.{u1, u3, u2} α m n _inst_1 _inst_2 (Matrix.transpose.{u1, u3, u2} m n α A) _inst_3)
+but is expected to have type
+  forall {α : Type.{u2}} {n : Type.{u1}} {m : Type.{u3}} [_inst_1 : Mul.{u2} α] [_inst_2 : AddCommMonoid.{u2} α] {A : Matrix.{u3, u1, u2} m n α} [_inst_3 : Fintype.{u3} m], (Matrix.HasOrthogonalCols.{u2, u1, u3} α n m _inst_1 _inst_2 A _inst_3) -> (Matrix.HasOrthogonalRows.{u2, u3, u1} α m n _inst_1 _inst_2 (Matrix.transpose.{u2, u3, u1} m n α A) _inst_3)
+Case conversion may be inaccurate. Consider using '#align matrix.has_orthogonal_cols.transpose_has_orthogonal_rows Matrix.HasOrthogonalCols.transpose_hasOrthogonalRowsₓ'. -/
 theorem HasOrthogonalCols.transpose_hasOrthogonalRows [Fintype m] (h : A.HasOrthogonalCols) :
     Aᵀ.HasOrthogonalRows :=
   h
 #align matrix.has_orthogonal_cols.transpose_has_orthogonal_rows Matrix.HasOrthogonalCols.transpose_hasOrthogonalRows
 
+/- warning: matrix.has_orthogonal_cols.has_orthogonal_rows -> Matrix.HasOrthogonalCols.hasOrthogonalRows is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {n : Type.{u2}} {m : Type.{u3}} [_inst_1 : Mul.{u1} α] [_inst_2 : AddCommMonoid.{u1} α] {A : Matrix.{u3, u2, u1} m n α} [_inst_3 : Fintype.{u2} n], (Matrix.HasOrthogonalCols.{u1, u3, u2} α m n _inst_1 _inst_2 (Matrix.transpose.{u1, u3, u2} m n α A) _inst_3) -> (Matrix.HasOrthogonalRows.{u1, u2, u3} α n m _inst_1 _inst_2 A _inst_3)
+but is expected to have type
+  forall {α : Type.{u2}} {n : Type.{u3}} {m : Type.{u1}} [_inst_1 : Mul.{u2} α] [_inst_2 : AddCommMonoid.{u2} α] {A : Matrix.{u1, u3, u2} m n α} [_inst_3 : Fintype.{u3} n], (Matrix.HasOrthogonalCols.{u2, u1, u3} α m n _inst_1 _inst_2 (Matrix.transpose.{u2, u1, u3} m n α A) _inst_3) -> (Matrix.HasOrthogonalRows.{u2, u3, u1} α n m _inst_1 _inst_2 A _inst_3)
+Case conversion may be inaccurate. Consider using '#align matrix.has_orthogonal_cols.has_orthogonal_rows Matrix.HasOrthogonalCols.hasOrthogonalRowsₓ'. -/
 theorem HasOrthogonalCols.hasOrthogonalRows [Fintype n] (h : Aᵀ.HasOrthogonalCols) :
     A.HasOrthogonalRows :=
   h
 #align matrix.has_orthogonal_cols.has_orthogonal_rows Matrix.HasOrthogonalCols.hasOrthogonalRows
 
+/- warning: matrix.has_orthogonal_rows.transpose_has_orthogonal_cols -> Matrix.HasOrthogonalRows.transpose_hasOrthogonalCols is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {n : Type.{u2}} {m : Type.{u3}} [_inst_1 : Mul.{u1} α] [_inst_2 : AddCommMonoid.{u1} α] {A : Matrix.{u3, u2, u1} m n α} [_inst_3 : Fintype.{u2} n], (Matrix.HasOrthogonalRows.{u1, u2, u3} α n m _inst_1 _inst_2 A _inst_3) -> (Matrix.HasOrthogonalCols.{u1, u3, u2} α m n _inst_1 _inst_2 (Matrix.transpose.{u1, u3, u2} m n α A) _inst_3)
+but is expected to have type
+  forall {α : Type.{u2}} {n : Type.{u3}} {m : Type.{u1}} [_inst_1 : Mul.{u2} α] [_inst_2 : AddCommMonoid.{u2} α] {A : Matrix.{u1, u3, u2} m n α} [_inst_3 : Fintype.{u3} n], (Matrix.HasOrthogonalRows.{u2, u3, u1} α n m _inst_1 _inst_2 A _inst_3) -> (Matrix.HasOrthogonalCols.{u2, u1, u3} α m n _inst_1 _inst_2 (Matrix.transpose.{u2, u1, u3} m n α A) _inst_3)
+Case conversion may be inaccurate. Consider using '#align matrix.has_orthogonal_rows.transpose_has_orthogonal_cols Matrix.HasOrthogonalRows.transpose_hasOrthogonalColsₓ'. -/
 theorem HasOrthogonalRows.transpose_hasOrthogonalCols [Fintype n] (h : A.HasOrthogonalRows) :
     Aᵀ.HasOrthogonalCols :=
   h

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
@@ -28,9 +28,7 @@ orthogonal
 namespace Matrix
 
 variable {α n m : Type*}
-
 variable [Mul α] [AddCommMonoid α]
-
 variable (A : Matrix m n α)
 
 open Matrix
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
@@ -27,7 +27,7 @@ orthogonal
 
 namespace Matrix
 
-variable {α n m : Type _}
+variable {α n m : Type*}
 
 variable [Mul α] [AddCommMonoid α]
 
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
@@ -2,14 +2,11 @@
 Copyright (c) 2021 Lu-Ming Zhang. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Lu-Ming Zhang
-
-! This file was ported from Lean 3 source module linear_algebra.matrix.orthogonal
-! leanprover-community/mathlib commit 790e98fbb5ec433d89d833320954607e79ae9071
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Data.Matrix.Basic
 
+#align_import linear_algebra.matrix.orthogonal from "leanprover-community/mathlib"@"790e98fbb5ec433d89d833320954607e79ae9071"
+
 /-!
 # Orthogonal
 
feat: port LinearAlgebra.Matrix.Orthogonal (#3235)

Co-authored-by: Parcly Taxel <reddeloostw@gmail.com> Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com> Co-authored-by: ChrisHughes24 <chrishughes24@gmail.com>

Dependencies 8 + 384

385 files ported (98.0%)
158975 lines ported (98.1%)
Show graph

The unported dependencies are