data.matrix.blockMathlib.Data.Matrix.Block

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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(last sync)

chore(data/matrix/block): the block matrix of zeros is zero (#18879)
Diff
@@ -202,6 +202,10 @@ begin
   ext i j, cases i; cases j; simp [from_blocks],
 end
 
+@[simp] lemma from_blocks_zero [has_zero α] :
+  from_blocks (0 : matrix n l α) 0 0 (0 : matrix o m α) = 0 :=
+by { ext i j, rcases i; rcases j; refl }
+
 lemma from_blocks_add [has_add α]
   (A  : matrix n l α) (B  : matrix n m α) (C  : matrix o l α) (D  : matrix o m α)
   (A' : matrix n l α) (B' : matrix n m α) (C' : matrix o l α) (D' : matrix o m α) :

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feat(data/matrix/block): injectivity lemmas (#18842)

Block matrices are equal if their blocks are equal

Diff
@@ -111,6 +111,19 @@ rfl
   (from_blocks A B C D).to_blocks₂₂ = D :=
 rfl
 
+/-- Two block matrices are equal if their blocks are equal. -/
+lemma ext_iff_blocks {A B : matrix (n ⊕ o) (l ⊕ m) α} :
+  A = B ↔ A.to_blocks₁₁ = B.to_blocks₁₁ ∧ A.to_blocks₁₂ = B.to_blocks₁₂ ∧
+          A.to_blocks₂₁ = B.to_blocks₂₁ ∧ A.to_blocks₂₂ = B.to_blocks₂₂ :=
+⟨λ h, h ▸ ⟨rfl, rfl, rfl, rfl⟩, λ ⟨h₁₁, h₁₂, h₂₁, h₂₂⟩,
+  by rw [←from_blocks_to_blocks A, ←from_blocks_to_blocks B, h₁₁, h₁₂, h₂₁, h₂₂]⟩
+
+@[simp] lemma from_blocks_inj
+  {A : matrix n l α} {B : matrix n m α} {C : matrix o l α} {D : matrix o m α}
+  {A' : matrix n l α} {B' : matrix n m α} {C' : matrix o l α} {D' : matrix o m α} :
+  from_blocks A B C D = from_blocks A' B' C' D' ↔ A = A' ∧ B = B' ∧ C = C' ∧ D = D' :=
+ext_iff_blocks
+
 lemma from_blocks_map
   (A : matrix n l α) (B : matrix n m α) (C : matrix o l α) (D : matrix o m α) (f : α → β) :
   (from_blocks A B C D).map f = from_blocks (A.map f) (B.map f) (C.map f) (D.map f) :=
@@ -456,6 +469,14 @@ end
   block_diag (block_diagonal M) = M :=
 funext $ λ k, ext $ λ i j, block_diagonal_apply_eq M i j _
 
+lemma block_diagonal_injective [decidable_eq o] :
+  function.injective (block_diagonal : (o → matrix m n α) → matrix _ _ α) :=
+function.left_inverse.injective block_diag_block_diagonal
+
+@[simp] lemma block_diagonal_inj [decidable_eq o] {M N : o → matrix m n α} :
+  block_diagonal M = block_diagonal N ↔ M = N :=
+block_diagonal_injective.eq_iff
+
 @[simp] lemma block_diag_one [decidable_eq o] [decidable_eq m] [has_one α] :
   block_diag (1 : matrix (m × o) (m × o) α) = 1 :=
 funext $ block_diag_diagonal _
@@ -689,6 +710,14 @@ end
   block_diag' (block_diagonal' M) = M :=
 funext $ λ k, ext $ λ i j, block_diagonal'_apply_eq M _ _ _
 
+lemma block_diagonal'_injective [decidable_eq o] :
+  function.injective (block_diagonal' : (Π i, matrix (m' i) (n' i) α) → matrix _ _ α) :=
+function.left_inverse.injective block_diag'_block_diagonal'
+
+@[simp] lemma block_diagonal'_inj [decidable_eq o] {M N : Π i, matrix (m' i) (n' i) α} :
+  block_diagonal' M = block_diagonal' N ↔ M = N :=
+block_diagonal'_injective.eq_iff
+
 @[simp] lemma block_diag'_one [decidable_eq o] [Π i, decidable_eq (m' i)] [has_one α] :
   block_diag' (1 : matrix (Σ i, m' i) (Σ i, m' i) α) = 1 :=
 funext $ block_diag'_diagonal _

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feat(data/matrix/basic): miscellaneous defs and lemmas (#8289)

miscellaneous defs and lemmas

Co-authored-by: l534zhan <luming.zhang@merton.ox.ac.uk> Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: l534zhan <84618936+l534zhan@users.noreply.github.com>

Diff
@@ -27,10 +27,14 @@ import data.matrix.basic
 variables {l m n o p q : Type*} {m' n' p' : o → Type*}
 variables {R : Type*} {S : Type*} {α : Type*} {β : Type*}
 
-open_locale matrix
+open_locale big_operators matrix
 
 namespace matrix
 
+lemma dot_product_block [fintype m] [fintype n] [has_mul α] [add_comm_monoid α] (v w : m ⊕ n → α) :
+  v ⬝ᵥ w = v ∘ sum.inl ⬝ᵥ w ∘ sum.inl + v ∘ sum.inr ⬝ᵥ w ∘ sum.inr :=
+fintype.sum_sum_type _
+
 section block_matrices
 
 /-- We can form a single large matrix by flattening smaller 'block' matrices of compatible

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(first ported)

Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -504,7 +504,7 @@ theorem blockDiagonal_diagonal [DecidableEq m] (d : o → m → α) :
   ext ⟨i, k⟩ ⟨j, k'⟩
   simp only [block_diagonal_apply, diagonal_apply, Prod.mk.inj_iff, ← ite_and]
   congr 1
-  rw [and_comm']
+  rw [and_comm]
 #align matrix.block_diagonal_diagonal Matrix.blockDiagonal_diagonal
 -/
 
Diff
@@ -1157,7 +1157,11 @@ theorem toBlock_mul_eq_add {m n k : Type _} [Fintype n] (p : m → Prop) (q : n
     [DecidablePred q] (r : k → Prop) (A : Matrix m n R) (B : Matrix n k R) :
     (A ⬝ B).toBlock p r =
       A.toBlock p q ⬝ B.toBlock q r + (A.toBlock p fun i => ¬q i) ⬝ B.toBlock (fun i => ¬q i) r :=
-  by classical
+  by
+  classical
+  ext i k
+  simp only [to_block_apply, mul_apply, Pi.add_apply]
+  convert (Fintype.sum_subtype_add_sum_subtype q fun x => A (↑i) x * B x ↑k).symm
 #align matrix.to_block_mul_eq_add Matrix.toBlock_mul_eq_add
 -/
 
Diff
@@ -1157,11 +1157,7 @@ theorem toBlock_mul_eq_add {m n k : Type _} [Fintype n] (p : m → Prop) (q : n
     [DecidablePred q] (r : k → Prop) (A : Matrix m n R) (B : Matrix n k R) :
     (A ⬝ B).toBlock p r =
       A.toBlock p q ⬝ B.toBlock q r + (A.toBlock p fun i => ¬q i) ⬝ B.toBlock (fun i => ¬q i) r :=
-  by
-  classical
-  ext i k
-  simp only [to_block_apply, mul_apply, Pi.add_apply]
-  convert (Fintype.sum_subtype_add_sum_subtype q fun x => A (↑i) x * B x ↑k).symm
+  by classical
 #align matrix.to_block_mul_eq_add Matrix.toBlock_mul_eq_add
 -/
 
Diff
@@ -3,7 +3,7 @@ Copyright (c) 2018 Ellen Arlt. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Ellen Arlt, Blair Shi, Sean Leather, Mario Carneiro, Johan Commelin
 -/
-import Mathbin.Data.Matrix.Basic
+import Data.Matrix.Basic
 
 #align_import data.matrix.block from "leanprover-community/mathlib"@"c060baa79af5ca092c54b8bf04f0f10592f59489"
 
Diff
@@ -2,14 +2,11 @@
 Copyright (c) 2018 Ellen Arlt. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Ellen Arlt, Blair Shi, Sean Leather, Mario Carneiro, Johan Commelin
-
-! This file was ported from Lean 3 source module data.matrix.block
-! leanprover-community/mathlib commit c060baa79af5ca092c54b8bf04f0f10592f59489
-! 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 data.matrix.block from "leanprover-community/mathlib"@"c060baa79af5ca092c54b8bf04f0f10592f59489"
+
 /-!
 # Block Matrices
 
Diff
@@ -123,7 +123,7 @@ def toBlocks₂₂ (M : Matrix (Sum n o) (Sum l m) α) : Matrix o m α :=
 
 #print Matrix.fromBlocks_toBlocks /-
 theorem fromBlocks_toBlocks (M : Matrix (Sum n o) (Sum l m) α) :
-    fromBlocks M.toBlocks₁₁ M.toBlocks₁₂ M.toBlocks₂₁ M.toBlocks₂₂ = M := by ext (i j);
+    fromBlocks M.toBlocks₁₁ M.toBlocks₁₂ M.toBlocks₂₁ M.toBlocks₂₂ = M := by ext i j;
   rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> rfl
 #align matrix.from_blocks_to_blocks Matrix.fromBlocks_toBlocks
 -/
@@ -183,13 +183,13 @@ theorem fromBlocks_inj {A : Matrix n l α} {B : Matrix n m α} {C : Matrix o l 
 #print Matrix.fromBlocks_map /-
 theorem fromBlocks_map (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α) (D : Matrix o m α)
     (f : α → β) : (fromBlocks A B C D).map f = fromBlocks (A.map f) (B.map f) (C.map f) (D.map f) :=
-  by ext (i j); rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> simp [from_blocks]
+  by ext i j; rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> simp [from_blocks]
 #align matrix.from_blocks_map Matrix.fromBlocks_map
 -/
 
 #print Matrix.fromBlocks_transpose /-
 theorem fromBlocks_transpose (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
-    (D : Matrix o m α) : (fromBlocks A B C D)ᵀ = fromBlocks Aᵀ Cᵀ Bᵀ Dᵀ := by ext (i j);
+    (D : Matrix o m α) : (fromBlocks A B C D)ᵀ = fromBlocks Aᵀ Cᵀ Bᵀ Dᵀ := by ext i j;
   rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> simp [from_blocks]
 #align matrix.from_blocks_transpose Matrix.fromBlocks_transpose
 -/
@@ -205,7 +205,7 @@ theorem fromBlocks_conjTranspose [Star α] (A : Matrix n l α) (B : Matrix n m 
 @[simp]
 theorem fromBlocks_submatrix_sum_swap_left (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) (f : p → Sum l m) :
-    (fromBlocks A B C D).submatrix Sum.swap f = (fromBlocks C D A B).submatrix id f := by ext (i j);
+    (fromBlocks A B C D).submatrix Sum.swap f = (fromBlocks C D A B).submatrix id f := by ext i j;
   cases i <;> dsimp <;> cases f j <;> rfl
 #align matrix.from_blocks_submatrix_sum_swap_left Matrix.fromBlocks_submatrix_sum_swap_left
 -/
@@ -214,7 +214,7 @@ theorem fromBlocks_submatrix_sum_swap_left (A : Matrix n l α) (B : Matrix n m 
 @[simp]
 theorem fromBlocks_submatrix_sum_swap_right (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) (f : p → Sum n o) :
-    (fromBlocks A B C D).submatrix f Sum.swap = (fromBlocks B A D C).submatrix f id := by ext (i j);
+    (fromBlocks A B C D).submatrix f Sum.swap = (fromBlocks B A D C).submatrix f id := by ext i j;
   cases j <;> dsimp <;> cases f i <;> rfl
 #align matrix.from_blocks_submatrix_sum_swap_right Matrix.fromBlocks_submatrix_sum_swap_right
 -/
@@ -283,13 +283,13 @@ theorem toSquareBlock_def (M : Matrix m m α) (b : m → β) (k : β) :
 #print Matrix.fromBlocks_smul /-
 theorem fromBlocks_smul [SMul R α] (x : R) (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : x • fromBlocks A B C D = fromBlocks (x • A) (x • B) (x • C) (x • D) := by
-  ext (i j); rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> simp [from_blocks]
+  ext i j; rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> simp [from_blocks]
 #align matrix.from_blocks_smul Matrix.fromBlocks_smul
 -/
 
 #print Matrix.fromBlocks_neg /-
 theorem fromBlocks_neg [Neg R] (A : Matrix n l R) (B : Matrix n m R) (C : Matrix o l R)
-    (D : Matrix o m R) : -fromBlocks A B C D = fromBlocks (-A) (-B) (-C) (-D) := by ext (i j);
+    (D : Matrix o m R) : -fromBlocks A B C D = fromBlocks (-A) (-B) (-C) (-D) := by ext i j;
   cases i <;> cases j <;> simp [from_blocks]
 #align matrix.from_blocks_neg Matrix.fromBlocks_neg
 -/
@@ -297,7 +297,7 @@ theorem fromBlocks_neg [Neg R] (A : Matrix n l R) (B : Matrix n m R) (C : Matrix
 #print Matrix.fromBlocks_zero /-
 @[simp]
 theorem fromBlocks_zero [Zero α] : fromBlocks (0 : Matrix n l α) 0 0 (0 : Matrix o m α) = 0 := by
-  ext (i j); rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> rfl
+  ext i j; rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> rfl
 #align matrix.from_blocks_zero Matrix.fromBlocks_zero
 -/
 
@@ -306,7 +306,7 @@ theorem fromBlocks_add [Add α] (A : Matrix n l α) (B : Matrix n m α) (C : Mat
     (D : Matrix o m α) (A' : Matrix n l α) (B' : Matrix n m α) (C' : Matrix o l α)
     (D' : Matrix o m α) :
     fromBlocks A B C D + fromBlocks A' B' C' D' = fromBlocks (A + A') (B + B') (C + C') (D + D') :=
-  by ext (i j); rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> rfl
+  by ext i j; rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> rfl
 #align matrix.from_blocks_add Matrix.fromBlocks_add
 -/
 
@@ -316,7 +316,7 @@ theorem fromBlocks_multiply [Fintype l] [Fintype m] [NonUnitalNonAssocSemiring 
     (C' : Matrix m p α) (D' : Matrix m q α) :
     fromBlocks A B C D ⬝ fromBlocks A' B' C' D' =
       fromBlocks (A ⬝ A' + B ⬝ C') (A ⬝ B' + B ⬝ D') (C ⬝ A' + D ⬝ C') (C ⬝ B' + D ⬝ D') :=
-  by ext (i j);
+  by ext i j;
   rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;>
     simp only [from_blocks, mul_apply, Fintype.sum_sum_type, Sum.elim_inl, Sum.elim_inr,
       Pi.add_apply, of_apply]
@@ -353,7 +353,7 @@ variable [Zero α]
 theorem toBlock_diagonal_self (d : m → α) (p : m → Prop) :
     Matrix.toBlock (diagonal d) p p = diagonal fun i : Subtype p => d ↑i :=
   by
-  ext (i j)
+  ext i j
   by_cases i = j
   · simp [h]
   · simp [One.one, h, fun h' => h <| Subtype.ext h']
@@ -364,7 +364,7 @@ theorem toBlock_diagonal_self (d : m → α) (p : m → Prop) :
 theorem toBlock_diagonal_disjoint (d : m → α) {p q : m → Prop} (hpq : Disjoint p q) :
     Matrix.toBlock (diagonal d) p q = 0 :=
   by
-  ext (⟨i, hi⟩⟨j, hj⟩)
+  ext ⟨i, hi⟩ ⟨j, hj⟩
   have : i ≠ j := fun heq => hpq.le_bot i ⟨hi, HEq.symm ▸ hj⟩
   simp [diagonal_apply_ne d this]
 #align matrix.to_block_diagonal_disjoint Matrix.toBlock_diagonal_disjoint
@@ -373,7 +373,7 @@ theorem toBlock_diagonal_disjoint (d : m → α) {p q : m → Prop} (hpq : Disjo
 #print Matrix.fromBlocks_diagonal /-
 @[simp]
 theorem fromBlocks_diagonal (d₁ : l → α) (d₂ : m → α) :
-    fromBlocks (diagonal d₁) 0 0 (diagonal d₂) = diagonal (Sum.elim d₁ d₂) := by ext (i j);
+    fromBlocks (diagonal d₁) 0 0 (diagonal d₂) = diagonal (Sum.elim d₁ d₂) := by ext i j;
   rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> simp [diagonal]
 #align matrix.from_blocks_diagonal Matrix.fromBlocks_diagonal
 -/
@@ -386,7 +386,7 @@ variable [Zero α] [One α]
 
 #print Matrix.fromBlocks_one /-
 @[simp]
-theorem fromBlocks_one : fromBlocks (1 : Matrix l l α) 0 0 (1 : Matrix m m α) = 1 := by ext (i j);
+theorem fromBlocks_one : fromBlocks (1 : Matrix l l α) 0 0 (1 : Matrix m m α) = 1 := by ext i j;
   rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> simp [one_apply]
 #align matrix.from_blocks_one Matrix.fromBlocks_one
 -/
@@ -504,7 +504,7 @@ theorem blockDiagonal_zero : blockDiagonal (0 : o → Matrix m n α) = 0 := by e
 theorem blockDiagonal_diagonal [DecidableEq m] (d : o → m → α) :
     (blockDiagonal fun k => diagonal (d k)) = diagonal fun ik => d ik.2 ik.1 :=
   by
-  ext (⟨i, k⟩⟨j, k'⟩)
+  ext ⟨i, k⟩ ⟨j, k'⟩
   simp only [block_diagonal_apply, diagonal_apply, Prod.mk.inj_iff, ← ite_and]
   congr 1
   rw [and_comm']
@@ -571,7 +571,7 @@ theorem blockDiagonal_mul [Fintype n] [Fintype o] [NonUnitalNonAssocSemiring α]
     (M : o → Matrix m n α) (N : o → Matrix n p α) :
     (blockDiagonal fun k => M k ⬝ N k) = blockDiagonal M ⬝ blockDiagonal N :=
   by
-  ext (⟨i, k⟩⟨j, k'⟩)
+  ext ⟨i, k⟩ ⟨j, k'⟩
   simp only [block_diagonal_apply, mul_apply, ← Finset.univ_product_univ, Finset.sum_product]
   split_ifs with h <;> simp [h]
 #align matrix.block_diagonal_mul Matrix.blockDiagonal_mul
@@ -845,7 +845,7 @@ theorem blockDiagonal'_map (M : ∀ i, Matrix (m' i) (n' i) α) (f : α → β)
 theorem blockDiagonal'_transpose (M : ∀ i, Matrix (m' i) (n' i) α) :
     (blockDiagonal' M)ᵀ = blockDiagonal' fun k => (M k)ᵀ :=
   by
-  ext (⟨ii, ix⟩⟨ji, jx⟩)
+  ext ⟨ii, ix⟩ ⟨ji, jx⟩
   simp only [transpose_apply, block_diagonal'_apply]
   split_ifs <;> cc
 #align matrix.block_diagonal'_transpose Matrix.blockDiagonal'_transpose
@@ -873,7 +873,7 @@ theorem blockDiagonal'_zero : blockDiagonal' (0 : ∀ i, Matrix (m' i) (n' i) α
 theorem blockDiagonal'_diagonal [∀ i, DecidableEq (m' i)] (d : ∀ i, m' i → α) :
     (blockDiagonal' fun k => diagonal (d k)) = diagonal fun ik => d ik.1 ik.2 :=
   by
-  ext (⟨i, k⟩⟨j, k'⟩)
+  ext ⟨i, k⟩ ⟨j, k'⟩
   simp only [block_diagonal'_apply, diagonal]
   obtain rfl | hij := Decidable.eq_or_ne i j
   · simp
@@ -943,7 +943,7 @@ theorem blockDiagonal'_mul [NonUnitalNonAssocSemiring α] [∀ i, Fintype (n' i)
     (M : ∀ i, Matrix (m' i) (n' i) α) (N : ∀ i, Matrix (n' i) (p' i) α) :
     (blockDiagonal' fun k => M k ⬝ N k) = blockDiagonal' M ⬝ blockDiagonal' N :=
   by
-  ext (⟨k, i⟩⟨k', j⟩)
+  ext ⟨k, i⟩ ⟨k', j⟩
   simp only [block_diagonal'_apply, mul_apply, ← Finset.univ_sigma_univ, Finset.sum_sigma]
   rw [Fintype.sum_eq_single k]
   · split_ifs <;> simp
@@ -1148,7 +1148,7 @@ variable [CommRing R]
 theorem toBlock_mul_eq_mul {m n k : Type _} [Fintype n] (p : m → Prop) (q : k → Prop)
     (A : Matrix m n R) (B : Matrix n k R) : (A ⬝ B).toBlock p q = A.toBlock p ⊤ ⬝ B.toBlock ⊤ q :=
   by
-  ext (i k)
+  ext i k
   simp only [to_block_apply, mul_apply]
   rw [Finset.sum_subtype]
   simp [Top.top, CompleteLattice.top, BoundedOrder.top]
@@ -1162,7 +1162,7 @@ theorem toBlock_mul_eq_add {m n k : Type _} [Fintype n] (p : m → Prop) (q : n
       A.toBlock p q ⬝ B.toBlock q r + (A.toBlock p fun i => ¬q i) ⬝ B.toBlock (fun i => ¬q i) r :=
   by
   classical
-  ext (i k)
+  ext i k
   simp only [to_block_apply, mul_apply, Pi.add_apply]
   convert (Fintype.sum_subtype_add_sum_subtype q fun x => A (↑i) x * B x ↑k).symm
 #align matrix.to_block_mul_eq_add Matrix.toBlock_mul_eq_add
Diff
@@ -38,10 +38,12 @@ open scoped BigOperators Matrix
 
 namespace Matrix
 
+#print Matrix.dotProduct_block /-
 theorem dotProduct_block [Fintype m] [Fintype n] [Mul α] [AddCommMonoid α] (v w : Sum m n → α) :
     v ⬝ᵥ w = v ∘ Sum.inl ⬝ᵥ w ∘ Sum.inl + v ∘ Sum.inr ⬝ᵥ w ∘ Sum.inr :=
   Fintype.sum_sum_type _
 #align matrix.dot_product_block Matrix.dotProduct_block
+-/
 
 section BlockMatrices
 
@@ -55,29 +57,37 @@ def fromBlocks (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α) (D :
 #align matrix.from_blocks Matrix.fromBlocks
 -/
 
+#print Matrix.fromBlocks_apply₁₁ /-
 @[simp]
 theorem fromBlocks_apply₁₁ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) (i : n) (j : l) : fromBlocks A B C D (Sum.inl i) (Sum.inl j) = A i j :=
   rfl
 #align matrix.from_blocks_apply₁₁ Matrix.fromBlocks_apply₁₁
+-/
 
+#print Matrix.fromBlocks_apply₁₂ /-
 @[simp]
 theorem fromBlocks_apply₁₂ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) (i : n) (j : m) : fromBlocks A B C D (Sum.inl i) (Sum.inr j) = B i j :=
   rfl
 #align matrix.from_blocks_apply₁₂ Matrix.fromBlocks_apply₁₂
+-/
 
+#print Matrix.fromBlocks_apply₂₁ /-
 @[simp]
 theorem fromBlocks_apply₂₁ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) (i : o) (j : l) : fromBlocks A B C D (Sum.inr i) (Sum.inl j) = C i j :=
   rfl
 #align matrix.from_blocks_apply₂₁ Matrix.fromBlocks_apply₂₁
+-/
 
+#print Matrix.fromBlocks_apply₂₂ /-
 @[simp]
 theorem fromBlocks_apply₂₂ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) (i : o) (j : m) : fromBlocks A B C D (Sum.inr i) (Sum.inr j) = D i j :=
   rfl
 #align matrix.from_blocks_apply₂₂ Matrix.fromBlocks_apply₂₂
+-/
 
 #print Matrix.toBlocks₁₁ /-
 /-- Given a matrix whose row and column indexes are sum types, we can extract the corresponding
@@ -111,35 +121,46 @@ def toBlocks₂₂ (M : Matrix (Sum n o) (Sum l m) α) : Matrix o m α :=
 #align matrix.to_blocks₂₂ Matrix.toBlocks₂₂
 -/
 
+#print Matrix.fromBlocks_toBlocks /-
 theorem fromBlocks_toBlocks (M : Matrix (Sum n o) (Sum l m) α) :
     fromBlocks M.toBlocks₁₁ M.toBlocks₁₂ M.toBlocks₂₁ M.toBlocks₂₂ = M := by ext (i j);
   rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> rfl
 #align matrix.from_blocks_to_blocks Matrix.fromBlocks_toBlocks
+-/
 
+#print Matrix.toBlocks_fromBlocks₁₁ /-
 @[simp]
 theorem toBlocks_fromBlocks₁₁ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : (fromBlocks A B C D).toBlocks₁₁ = A :=
   rfl
 #align matrix.to_blocks_from_blocks₁₁ Matrix.toBlocks_fromBlocks₁₁
+-/
 
+#print Matrix.toBlocks_fromBlocks₁₂ /-
 @[simp]
 theorem toBlocks_fromBlocks₁₂ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : (fromBlocks A B C D).toBlocks₁₂ = B :=
   rfl
 #align matrix.to_blocks_from_blocks₁₂ Matrix.toBlocks_fromBlocks₁₂
+-/
 
+#print Matrix.toBlocks_fromBlocks₂₁ /-
 @[simp]
 theorem toBlocks_fromBlocks₂₁ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : (fromBlocks A B C D).toBlocks₂₁ = C :=
   rfl
 #align matrix.to_blocks_from_blocks₂₁ Matrix.toBlocks_fromBlocks₂₁
+-/
 
+#print Matrix.toBlocks_fromBlocks₂₂ /-
 @[simp]
 theorem toBlocks_fromBlocks₂₂ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : (fromBlocks A B C D).toBlocks₂₂ = D :=
   rfl
 #align matrix.to_blocks_from_blocks₂₂ Matrix.toBlocks_fromBlocks₂₂
+-/
 
+#print Matrix.ext_iff_blocks /-
 /-- Two block matrices are equal if their blocks are equal. -/
 theorem ext_iff_blocks {A B : Matrix (Sum n o) (Sum l m) α} :
     A = B ↔
@@ -148,47 +169,62 @@ theorem ext_iff_blocks {A B : Matrix (Sum n o) (Sum l m) α} :
   ⟨fun h => h ▸ ⟨rfl, rfl, rfl, rfl⟩, fun ⟨h₁₁, h₁₂, h₂₁, h₂₂⟩ => by
     rw [← from_blocks_to_blocks A, ← from_blocks_to_blocks B, h₁₁, h₁₂, h₂₁, h₂₂]⟩
 #align matrix.ext_iff_blocks Matrix.ext_iff_blocks
+-/
 
+#print Matrix.fromBlocks_inj /-
 @[simp]
 theorem fromBlocks_inj {A : Matrix n l α} {B : Matrix n m α} {C : Matrix o l α} {D : Matrix o m α}
     {A' : Matrix n l α} {B' : Matrix n m α} {C' : Matrix o l α} {D' : Matrix o m α} :
     fromBlocks A B C D = fromBlocks A' B' C' D' ↔ A = A' ∧ B = B' ∧ C = C' ∧ D = D' :=
   ext_iff_blocks
 #align matrix.from_blocks_inj Matrix.fromBlocks_inj
+-/
 
+#print Matrix.fromBlocks_map /-
 theorem fromBlocks_map (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α) (D : Matrix o m α)
     (f : α → β) : (fromBlocks A B C D).map f = fromBlocks (A.map f) (B.map f) (C.map f) (D.map f) :=
   by ext (i j); rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> simp [from_blocks]
 #align matrix.from_blocks_map Matrix.fromBlocks_map
+-/
 
+#print Matrix.fromBlocks_transpose /-
 theorem fromBlocks_transpose (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : (fromBlocks A B C D)ᵀ = fromBlocks Aᵀ Cᵀ Bᵀ Dᵀ := by ext (i j);
   rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> simp [from_blocks]
 #align matrix.from_blocks_transpose Matrix.fromBlocks_transpose
+-/
 
+#print Matrix.fromBlocks_conjTranspose /-
 theorem fromBlocks_conjTranspose [Star α] (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : (fromBlocks A B C D)ᴴ = fromBlocks Aᴴ Cᴴ Bᴴ Dᴴ := by
   simp only [conj_transpose, from_blocks_transpose, from_blocks_map]
 #align matrix.from_blocks_conj_transpose Matrix.fromBlocks_conjTranspose
+-/
 
+#print Matrix.fromBlocks_submatrix_sum_swap_left /-
 @[simp]
 theorem fromBlocks_submatrix_sum_swap_left (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) (f : p → Sum l m) :
     (fromBlocks A B C D).submatrix Sum.swap f = (fromBlocks C D A B).submatrix id f := by ext (i j);
   cases i <;> dsimp <;> cases f j <;> rfl
 #align matrix.from_blocks_submatrix_sum_swap_left Matrix.fromBlocks_submatrix_sum_swap_left
+-/
 
+#print Matrix.fromBlocks_submatrix_sum_swap_right /-
 @[simp]
 theorem fromBlocks_submatrix_sum_swap_right (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) (f : p → Sum n o) :
     (fromBlocks A B C D).submatrix f Sum.swap = (fromBlocks B A D C).submatrix f id := by ext (i j);
   cases j <;> dsimp <;> cases f i <;> rfl
 #align matrix.from_blocks_submatrix_sum_swap_right Matrix.fromBlocks_submatrix_sum_swap_right
+-/
 
+#print Matrix.fromBlocks_submatrix_sum_swap_sum_swap /-
 theorem fromBlocks_submatrix_sum_swap_sum_swap {l m n o α : Type _} (A : Matrix n l α)
     (B : Matrix n m α) (C : Matrix o l α) (D : Matrix o m α) :
     (fromBlocks A B C D).submatrix Sum.swap Sum.swap = fromBlocks D C B A := by simp
 #align matrix.from_blocks_submatrix_sum_swap_sum_swap Matrix.fromBlocks_submatrix_sum_swap_sum_swap
+-/
 
 #print Matrix.IsTwoBlockDiagonal /-
 /-- A 2x2 block matrix is block diagonal if the blocks outside of the diagonal vanish -/
@@ -205,11 +241,13 @@ def toBlock (M : Matrix m n α) (p : m → Prop) (q : n → Prop) : Matrix { a /
 #align matrix.to_block Matrix.toBlock
 -/
 
+#print Matrix.toBlock_apply /-
 @[simp]
 theorem toBlock_apply (M : Matrix m n α) (p : m → Prop) (q : n → Prop) (i : { a // p a })
     (j : { a // q a }) : toBlock M p q i j = M ↑i ↑j :=
   rfl
 #align matrix.to_block_apply Matrix.toBlock_apply
+-/
 
 #print Matrix.toSquareBlockProp /-
 /-- Let `p` pick out certain rows and columns of a square matrix `M`. Then
@@ -219,10 +257,12 @@ def toSquareBlockProp (M : Matrix m m α) (p : m → Prop) : Matrix { a // p a }
 #align matrix.to_square_block_prop Matrix.toSquareBlockProp
 -/
 
+#print Matrix.toSquareBlockProp_def /-
 theorem toSquareBlockProp_def (M : Matrix m m α) (p : m → Prop) :
     toSquareBlockProp M p = fun i j => M ↑i ↑j :=
   rfl
 #align matrix.to_square_block_prop_def Matrix.toSquareBlockProp_def
+-/
 
 #print Matrix.toSquareBlock /-
 /-- Let `b` map rows and columns of a square matrix `M` to blocks. Then
@@ -233,33 +273,44 @@ def toSquareBlock (M : Matrix m m α) (b : m → β) (k : β) :
 #align matrix.to_square_block Matrix.toSquareBlock
 -/
 
+#print Matrix.toSquareBlock_def /-
 theorem toSquareBlock_def (M : Matrix m m α) (b : m → β) (k : β) :
     toSquareBlock M b k = fun i j => M ↑i ↑j :=
   rfl
 #align matrix.to_square_block_def Matrix.toSquareBlock_def
+-/
 
+#print Matrix.fromBlocks_smul /-
 theorem fromBlocks_smul [SMul R α] (x : R) (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : x • fromBlocks A B C D = fromBlocks (x • A) (x • B) (x • C) (x • D) := by
   ext (i j); rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> simp [from_blocks]
 #align matrix.from_blocks_smul Matrix.fromBlocks_smul
+-/
 
+#print Matrix.fromBlocks_neg /-
 theorem fromBlocks_neg [Neg R] (A : Matrix n l R) (B : Matrix n m R) (C : Matrix o l R)
     (D : Matrix o m R) : -fromBlocks A B C D = fromBlocks (-A) (-B) (-C) (-D) := by ext (i j);
   cases i <;> cases j <;> simp [from_blocks]
 #align matrix.from_blocks_neg Matrix.fromBlocks_neg
+-/
 
+#print Matrix.fromBlocks_zero /-
 @[simp]
 theorem fromBlocks_zero [Zero α] : fromBlocks (0 : Matrix n l α) 0 0 (0 : Matrix o m α) = 0 := by
   ext (i j); rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> rfl
 #align matrix.from_blocks_zero Matrix.fromBlocks_zero
+-/
 
+#print Matrix.fromBlocks_add /-
 theorem fromBlocks_add [Add α] (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) (A' : Matrix n l α) (B' : Matrix n m α) (C' : Matrix o l α)
     (D' : Matrix o m α) :
     fromBlocks A B C D + fromBlocks A' B' C' D' = fromBlocks (A + A') (B + B') (C + C') (D + D') :=
   by ext (i j); rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> rfl
 #align matrix.from_blocks_add Matrix.fromBlocks_add
+-/
 
+#print Matrix.fromBlocks_multiply /-
 theorem fromBlocks_multiply [Fintype l] [Fintype m] [NonUnitalNonAssocSemiring α] (A : Matrix n l α)
     (B : Matrix n m α) (C : Matrix o l α) (D : Matrix o m α) (A' : Matrix l p α) (B' : Matrix l q α)
     (C' : Matrix m p α) (D' : Matrix m q α) :
@@ -270,7 +321,9 @@ theorem fromBlocks_multiply [Fintype l] [Fintype m] [NonUnitalNonAssocSemiring 
     simp only [from_blocks, mul_apply, Fintype.sum_sum_type, Sum.elim_inl, Sum.elim_inr,
       Pi.add_apply, of_apply]
 #align matrix.from_blocks_multiply Matrix.fromBlocks_multiply
+-/
 
+#print Matrix.fromBlocks_mulVec /-
 theorem fromBlocks_mulVec [Fintype l] [Fintype m] [NonUnitalNonAssocSemiring α] (A : Matrix n l α)
     (B : Matrix n m α) (C : Matrix o l α) (D : Matrix o m α) (x : Sum l m → α) :
     mulVec (fromBlocks A B C D) x =
@@ -278,7 +331,9 @@ theorem fromBlocks_mulVec [Fintype l] [Fintype m] [NonUnitalNonAssocSemiring α]
         (mulVec C (x ∘ Sum.inl) + mulVec D (x ∘ Sum.inr)) :=
   by ext i; cases i <;> simp [mul_vec, dot_product]
 #align matrix.from_blocks_mul_vec Matrix.fromBlocks_mulVec
+-/
 
+#print Matrix.vecMul_fromBlocks /-
 theorem vecMul_fromBlocks [Fintype n] [Fintype o] [NonUnitalNonAssocSemiring α] (A : Matrix n l α)
     (B : Matrix n m α) (C : Matrix o l α) (D : Matrix o m α) (x : Sum n o → α) :
     vecMul x (fromBlocks A B C D) =
@@ -286,6 +341,7 @@ theorem vecMul_fromBlocks [Fintype n] [Fintype o] [NonUnitalNonAssocSemiring α]
         (vecMul (x ∘ Sum.inl) B + vecMul (x ∘ Sum.inr) D) :=
   by ext i; cases i <;> simp [vec_mul, dot_product]
 #align matrix.vec_mul_from_blocks Matrix.vecMul_fromBlocks
+-/
 
 variable [DecidableEq l] [DecidableEq m]
 
@@ -293,6 +349,7 @@ section Zero
 
 variable [Zero α]
 
+#print Matrix.toBlock_diagonal_self /-
 theorem toBlock_diagonal_self (d : m → α) (p : m → Prop) :
     Matrix.toBlock (diagonal d) p p = diagonal fun i : Subtype p => d ↑i :=
   by
@@ -301,7 +358,9 @@ theorem toBlock_diagonal_self (d : m → α) (p : m → Prop) :
   · simp [h]
   · simp [One.one, h, fun h' => h <| Subtype.ext h']
 #align matrix.to_block_diagonal_self Matrix.toBlock_diagonal_self
+-/
 
+#print Matrix.toBlock_diagonal_disjoint /-
 theorem toBlock_diagonal_disjoint (d : m → α) {p q : m → Prop} (hpq : Disjoint p q) :
     Matrix.toBlock (diagonal d) p q = 0 :=
   by
@@ -309,12 +368,15 @@ theorem toBlock_diagonal_disjoint (d : m → α) {p q : m → Prop} (hpq : Disjo
   have : i ≠ j := fun heq => hpq.le_bot i ⟨hi, HEq.symm ▸ hj⟩
   simp [diagonal_apply_ne d this]
 #align matrix.to_block_diagonal_disjoint Matrix.toBlock_diagonal_disjoint
+-/
 
+#print Matrix.fromBlocks_diagonal /-
 @[simp]
 theorem fromBlocks_diagonal (d₁ : l → α) (d₂ : m → α) :
     fromBlocks (diagonal d₁) 0 0 (diagonal d₂) = diagonal (Sum.elim d₁ d₂) := by ext (i j);
   rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> simp [diagonal]
 #align matrix.from_blocks_diagonal Matrix.fromBlocks_diagonal
+-/
 
 end Zero
 
@@ -322,20 +384,26 @@ section HasZeroHasOne
 
 variable [Zero α] [One α]
 
+#print Matrix.fromBlocks_one /-
 @[simp]
 theorem fromBlocks_one : fromBlocks (1 : Matrix l l α) 0 0 (1 : Matrix m m α) = 1 := by ext (i j);
   rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> simp [one_apply]
 #align matrix.from_blocks_one Matrix.fromBlocks_one
+-/
 
+#print Matrix.toBlock_one_self /-
 @[simp]
 theorem toBlock_one_self (p : m → Prop) : Matrix.toBlock (1 : Matrix m m α) p p = 1 :=
   toBlock_diagonal_self _ p
 #align matrix.to_block_one_self Matrix.toBlock_one_self
+-/
 
+#print Matrix.toBlock_one_disjoint /-
 theorem toBlock_one_disjoint {p q : m → Prop} (hpq : Disjoint p q) :
     Matrix.toBlock (1 : Matrix m m α) p q = 0 :=
   toBlock_diagonal_disjoint _ hpq
 #align matrix.to_block_one_disjoint Matrix.toBlock_one_disjoint
+-/
 
 end HasZeroHasOne
 
@@ -361,28 +429,37 @@ def blockDiagonal (M : o → Matrix m n α) : Matrix (m × o) (n × o) α :=
 #align matrix.block_diagonal Matrix.blockDiagonal
 -/
 
+#print Matrix.blockDiagonal_apply' /-
 -- TODO: set as an equation lemma for `block_diagonal`, see mathlib4#3024
 theorem blockDiagonal_apply' (M : o → Matrix m n α) (i k j k') :
     blockDiagonal M ⟨i, k⟩ ⟨j, k'⟩ = if k = k' then M k i j else 0 :=
   rfl
 #align matrix.block_diagonal_apply' Matrix.blockDiagonal_apply'
+-/
 
+#print Matrix.blockDiagonal_apply /-
 theorem blockDiagonal_apply (M : o → Matrix m n α) (ik jk) :
     blockDiagonal M ik jk = if ik.2 = jk.2 then M ik.2 ik.1 jk.1 else 0 := by cases ik; cases jk;
   rfl
 #align matrix.block_diagonal_apply Matrix.blockDiagonal_apply
+-/
 
+#print Matrix.blockDiagonal_apply_eq /-
 @[simp]
 theorem blockDiagonal_apply_eq (M : o → Matrix m n α) (i j k) :
     blockDiagonal M (i, k) (j, k) = M k i j :=
   if_pos rfl
 #align matrix.block_diagonal_apply_eq Matrix.blockDiagonal_apply_eq
+-/
 
+#print Matrix.blockDiagonal_apply_ne /-
 theorem blockDiagonal_apply_ne (M : o → Matrix m n α) (i j) {k k'} (h : k ≠ k') :
     blockDiagonal M (i, k) (j, k') = 0 :=
   if_neg h
 #align matrix.block_diagonal_apply_ne Matrix.blockDiagonal_apply_ne
+-/
 
+#print Matrix.blockDiagonal_map /-
 theorem blockDiagonal_map (M : o → Matrix m n α) (f : α → β) (hf : f 0 = 0) :
     (blockDiagonal M).map f = blockDiagonal fun k => (M k).map f :=
   by
@@ -390,7 +467,9 @@ theorem blockDiagonal_map (M : o → Matrix m n α) (f : α → β) (hf : f 0 =
   simp only [map_apply, block_diagonal_apply, eq_comm]
   rw [apply_ite f, hf]
 #align matrix.block_diagonal_map Matrix.blockDiagonal_map
+-/
 
+#print Matrix.blockDiagonal_transpose /-
 @[simp]
 theorem blockDiagonal_transpose (M : o → Matrix m n α) :
     (blockDiagonal M)ᵀ = blockDiagonal fun k => (M k)ᵀ :=
@@ -401,7 +480,9 @@ theorem blockDiagonal_transpose (M : o → Matrix m n α) :
   · rw [h]
   · rfl
 #align matrix.block_diagonal_transpose Matrix.blockDiagonal_transpose
+-/
 
+#print Matrix.blockDiagonal_conjTranspose /-
 @[simp]
 theorem blockDiagonal_conjTranspose {α : Type _} [AddMonoid α] [StarAddMonoid α]
     (M : o → Matrix m n α) : (blockDiagonal M)ᴴ = blockDiagonal fun k => (M k)ᴴ :=
@@ -409,12 +490,16 @@ theorem blockDiagonal_conjTranspose {α : Type _} [AddMonoid α] [StarAddMonoid
   simp only [conj_transpose, block_diagonal_transpose]
   rw [block_diagonal_map _ star (star_zero α)]
 #align matrix.block_diagonal_conj_transpose Matrix.blockDiagonal_conjTranspose
+-/
 
+#print Matrix.blockDiagonal_zero /-
 @[simp]
 theorem blockDiagonal_zero : blockDiagonal (0 : o → Matrix m n α) = 0 := by ext;
   simp [block_diagonal_apply]
 #align matrix.block_diagonal_zero Matrix.blockDiagonal_zero
+-/
 
+#print Matrix.blockDiagonal_diagonal /-
 @[simp]
 theorem blockDiagonal_diagonal [DecidableEq m] (d : o → m → α) :
     (blockDiagonal fun k => diagonal (d k)) = diagonal fun ik => d ik.2 ik.1 :=
@@ -424,15 +509,19 @@ theorem blockDiagonal_diagonal [DecidableEq m] (d : o → m → α) :
   congr 1
   rw [and_comm']
 #align matrix.block_diagonal_diagonal Matrix.blockDiagonal_diagonal
+-/
 
+#print Matrix.blockDiagonal_one /-
 @[simp]
 theorem blockDiagonal_one [DecidableEq m] [One α] : blockDiagonal (1 : o → Matrix m m α) = 1 :=
   show (blockDiagonal fun _ : o => diagonal fun _ : m => (1 : α)) = diagonal fun _ => 1 by
     rw [block_diagonal_diagonal]
 #align matrix.block_diagonal_one Matrix.blockDiagonal_one
+-/
 
 end Zero
 
+#print Matrix.blockDiagonal_add /-
 @[simp]
 theorem blockDiagonal_add [AddZeroClass α] (M N : o → Matrix m n α) :
     blockDiagonal (M + N) = blockDiagonal M + blockDiagonal N :=
@@ -441,6 +530,7 @@ theorem blockDiagonal_add [AddZeroClass α] (M N : o → Matrix m n α) :
   simp only [block_diagonal_apply, Pi.add_apply]
   split_ifs <;> simp
 #align matrix.block_diagonal_add Matrix.blockDiagonal_add
+-/
 
 section
 
@@ -459,18 +549,23 @@ def blockDiagonalAddMonoidHom [AddZeroClass α] : (o → Matrix m n α) →+ Mat
 
 end
 
+#print Matrix.blockDiagonal_neg /-
 @[simp]
 theorem blockDiagonal_neg [AddGroup α] (M : o → Matrix m n α) :
     blockDiagonal (-M) = -blockDiagonal M :=
   map_neg (blockDiagonalAddMonoidHom m n o α) M
 #align matrix.block_diagonal_neg Matrix.blockDiagonal_neg
+-/
 
+#print Matrix.blockDiagonal_sub /-
 @[simp]
 theorem blockDiagonal_sub [AddGroup α] (M N : o → Matrix m n α) :
     blockDiagonal (M - N) = blockDiagonal M - blockDiagonal N :=
   map_sub (blockDiagonalAddMonoidHom m n o α) M N
 #align matrix.block_diagonal_sub Matrix.blockDiagonal_sub
+-/
 
+#print Matrix.blockDiagonal_mul /-
 @[simp]
 theorem blockDiagonal_mul [Fintype n] [Fintype o] [NonUnitalNonAssocSemiring α]
     (M : o → Matrix m n α) (N : o → Matrix n p α) :
@@ -480,11 +575,13 @@ theorem blockDiagonal_mul [Fintype n] [Fintype o] [NonUnitalNonAssocSemiring α]
   simp only [block_diagonal_apply, mul_apply, ← Finset.univ_product_univ, Finset.sum_product]
   split_ifs with h <;> simp [h]
 #align matrix.block_diagonal_mul Matrix.blockDiagonal_mul
+-/
 
 section
 
 variable (α m o)
 
+#print Matrix.blockDiagonalRingHom /-
 /-- `matrix.block_diagonal` as a `ring_hom`. -/
 @[simps]
 def blockDiagonalRingHom [DecidableEq m] [Fintype o] [Fintype m] [NonAssocSemiring α] :
@@ -495,20 +592,25 @@ def blockDiagonalRingHom [DecidableEq m] [Fintype o] [Fintype m] [NonAssocSemiri
     map_one' := blockDiagonal_one
     map_mul' := blockDiagonal_mul }
 #align matrix.block_diagonal_ring_hom Matrix.blockDiagonalRingHom
+-/
 
 end
 
+#print Matrix.blockDiagonal_pow /-
 @[simp]
 theorem blockDiagonal_pow [DecidableEq m] [Fintype o] [Fintype m] [Semiring α]
     (M : o → Matrix m m α) (n : ℕ) : blockDiagonal (M ^ n) = blockDiagonal M ^ n :=
   map_pow (blockDiagonalRingHom m o α) M n
 #align matrix.block_diagonal_pow Matrix.blockDiagonal_pow
+-/
 
+#print Matrix.blockDiagonal_smul /-
 @[simp]
 theorem blockDiagonal_smul {R : Type _} [Monoid R] [AddMonoid α] [DistribMulAction R α] (x : R)
     (M : o → Matrix m n α) : blockDiagonal (x • M) = x • blockDiagonal M := by ext;
   simp only [block_diagonal_apply, Pi.smul_apply]; split_ifs <;> simp
 #align matrix.block_diagonal_smul Matrix.blockDiagonal_smul
+-/
 
 end BlockDiagonal
 
@@ -523,38 +625,49 @@ def blockDiag (M : Matrix (m × o) (n × o) α) (k : o) : Matrix m n α :=
 #align matrix.block_diag Matrix.blockDiag
 -/
 
+#print Matrix.blockDiag_apply /-
 -- TODO: set as an equation lemma for `block_diag`, see mathlib4#3024
 theorem blockDiag_apply (M : Matrix (m × o) (n × o) α) (k : o) (i j) :
     blockDiag M k i j = M (i, k) (j, k) :=
   rfl
 #align matrix.block_diag_apply Matrix.blockDiag_apply
+-/
 
+#print Matrix.blockDiag_map /-
 theorem blockDiag_map (M : Matrix (m × o) (n × o) α) (f : α → β) :
     blockDiag (M.map f) = fun k => (blockDiag M k).map f :=
   rfl
 #align matrix.block_diag_map Matrix.blockDiag_map
+-/
 
+#print Matrix.blockDiag_transpose /-
 @[simp]
 theorem blockDiag_transpose (M : Matrix (m × o) (n × o) α) (k : o) :
     blockDiag Mᵀ k = (blockDiag M k)ᵀ :=
   ext fun i j => rfl
 #align matrix.block_diag_transpose Matrix.blockDiag_transpose
+-/
 
+#print Matrix.blockDiag_conjTranspose /-
 @[simp]
 theorem blockDiag_conjTranspose {α : Type _} [AddMonoid α] [StarAddMonoid α]
     (M : Matrix (m × o) (n × o) α) (k : o) : blockDiag Mᴴ k = (blockDiag M k)ᴴ :=
   ext fun i j => rfl
 #align matrix.block_diag_conj_transpose Matrix.blockDiag_conjTranspose
+-/
 
 section Zero
 
 variable [Zero α] [Zero β]
 
+#print Matrix.blockDiag_zero /-
 @[simp]
 theorem blockDiag_zero : blockDiag (0 : Matrix (m × o) (n × o) α) = 0 :=
   rfl
 #align matrix.block_diag_zero Matrix.blockDiag_zero
+-/
 
+#print Matrix.blockDiag_diagonal /-
 @[simp]
 theorem blockDiag_diagonal [DecidableEq o] [DecidableEq m] (d : m × o → α) (k : o) :
     blockDiag (diagonal d) k = diagonal fun i => d (i, k) :=
@@ -564,37 +677,48 @@ theorem blockDiag_diagonal [DecidableEq o] [DecidableEq m] (d : m × o → α) (
     · rw [block_diag_apply, diagonal_apply_ne _ hij, diagonal_apply_ne _ (mt _ hij)]
       exact prod.fst_eq_iff.mpr
 #align matrix.block_diag_diagonal Matrix.blockDiag_diagonal
+-/
 
+#print Matrix.blockDiag_blockDiagonal /-
 @[simp]
 theorem blockDiag_blockDiagonal [DecidableEq o] (M : o → Matrix m n α) :
     blockDiag (blockDiagonal M) = M :=
   funext fun k => ext fun i j => blockDiagonal_apply_eq M i j _
 #align matrix.block_diag_block_diagonal Matrix.blockDiag_blockDiagonal
+-/
 
+#print Matrix.blockDiagonal_injective /-
 theorem blockDiagonal_injective [DecidableEq o] :
     Function.Injective (blockDiagonal : (o → Matrix m n α) → Matrix _ _ α) :=
   Function.LeftInverse.injective blockDiag_blockDiagonal
 #align matrix.block_diagonal_injective Matrix.blockDiagonal_injective
+-/
 
+#print Matrix.blockDiagonal_inj /-
 @[simp]
 theorem blockDiagonal_inj [DecidableEq o] {M N : o → Matrix m n α} :
     blockDiagonal M = blockDiagonal N ↔ M = N :=
   blockDiagonal_injective.eq_iff
 #align matrix.block_diagonal_inj Matrix.blockDiagonal_inj
+-/
 
+#print Matrix.blockDiag_one /-
 @[simp]
 theorem blockDiag_one [DecidableEq o] [DecidableEq m] [One α] :
     blockDiag (1 : Matrix (m × o) (m × o) α) = 1 :=
   funext <| blockDiag_diagonal _
 #align matrix.block_diag_one Matrix.blockDiag_one
+-/
 
 end Zero
 
+#print Matrix.blockDiag_add /-
 @[simp]
 theorem blockDiag_add [AddZeroClass α] (M N : Matrix (m × o) (n × o) α) :
     blockDiag (M + N) = blockDiag M + blockDiag N :=
   rfl
 #align matrix.block_diag_add Matrix.blockDiag_add
+-/
 
 section
 
@@ -613,22 +737,28 @@ def blockDiagAddMonoidHom [AddZeroClass α] : Matrix (m × o) (n × o) α →+ o
 
 end
 
+#print Matrix.blockDiag_neg /-
 @[simp]
 theorem blockDiag_neg [AddGroup α] (M : Matrix (m × o) (n × o) α) : blockDiag (-M) = -blockDiag M :=
   map_neg (blockDiagAddMonoidHom m n o α) M
 #align matrix.block_diag_neg Matrix.blockDiag_neg
+-/
 
+#print Matrix.blockDiag_sub /-
 @[simp]
 theorem blockDiag_sub [AddGroup α] (M N : Matrix (m × o) (n × o) α) :
     blockDiag (M - N) = blockDiag M - blockDiag N :=
   map_sub (blockDiagAddMonoidHom m n o α) M N
 #align matrix.block_diag_sub Matrix.blockDiag_sub
+-/
 
+#print Matrix.blockDiag_smul /-
 @[simp]
 theorem blockDiag_smul {R : Type _} [Monoid R] [AddMonoid α] [DistribMulAction R α] (x : R)
     (M : Matrix (m × o) (n × o) α) : blockDiag (x • M) = x • blockDiag M :=
   rfl
 #align matrix.block_diag_smul Matrix.blockDiag_smul
+-/
 
 end BlockDiag
 
@@ -653,41 +783,54 @@ def blockDiagonal' (M : ∀ i, Matrix (m' i) (n' i) α) : Matrix (Σ i, m' i) (
 #align matrix.block_diagonal' Matrix.blockDiagonal'
 -/
 
+#print Matrix.blockDiagonal'_apply' /-
 -- TODO: set as an equation lemma for `block_diagonal'`, see mathlib4#3024
 theorem blockDiagonal'_apply' (M : ∀ i, Matrix (m' i) (n' i) α) (k i k' j) :
     blockDiagonal' M ⟨k, i⟩ ⟨k', j⟩ =
       if h : k = k' then M k i (cast (congr_arg n' h.symm) j) else 0 :=
   rfl
 #align matrix.block_diagonal'_apply' Matrix.blockDiagonal'_apply'
+-/
 
+#print Matrix.blockDiagonal'_eq_blockDiagonal /-
 theorem blockDiagonal'_eq_blockDiagonal (M : o → Matrix m n α) {k k'} (i j) :
     blockDiagonal M (i, k) (j, k') = blockDiagonal' M ⟨k, i⟩ ⟨k', j⟩ :=
   rfl
 #align matrix.block_diagonal'_eq_block_diagonal Matrix.blockDiagonal'_eq_blockDiagonal
+-/
 
+#print Matrix.blockDiagonal'_submatrix_eq_blockDiagonal /-
 theorem blockDiagonal'_submatrix_eq_blockDiagonal (M : o → Matrix m n α) :
     (blockDiagonal' M).submatrix (Prod.toSigma ∘ Prod.swap) (Prod.toSigma ∘ Prod.swap) =
       blockDiagonal M :=
   Matrix.ext fun ⟨k, i⟩ ⟨k', j⟩ => rfl
 #align matrix.block_diagonal'_submatrix_eq_block_diagonal Matrix.blockDiagonal'_submatrix_eq_blockDiagonal
+-/
 
+#print Matrix.blockDiagonal'_apply /-
 theorem blockDiagonal'_apply (M : ∀ i, Matrix (m' i) (n' i) α) (ik jk) :
     blockDiagonal' M ik jk =
       if h : ik.1 = jk.1 then M ik.1 ik.2 (cast (congr_arg n' h.symm) jk.2) else 0 :=
   by cases ik; cases jk; rfl
 #align matrix.block_diagonal'_apply Matrix.blockDiagonal'_apply
+-/
 
+#print Matrix.blockDiagonal'_apply_eq /-
 @[simp]
 theorem blockDiagonal'_apply_eq (M : ∀ i, Matrix (m' i) (n' i) α) (k i j) :
     blockDiagonal' M ⟨k, i⟩ ⟨k, j⟩ = M k i j :=
   dif_pos rfl
 #align matrix.block_diagonal'_apply_eq Matrix.blockDiagonal'_apply_eq
+-/
 
+#print Matrix.blockDiagonal'_apply_ne /-
 theorem blockDiagonal'_apply_ne (M : ∀ i, Matrix (m' i) (n' i) α) {k k'} (i j) (h : k ≠ k') :
     blockDiagonal' M ⟨k, i⟩ ⟨k', j⟩ = 0 :=
   dif_neg h
 #align matrix.block_diagonal'_apply_ne Matrix.blockDiagonal'_apply_ne
+-/
 
+#print Matrix.blockDiagonal'_map /-
 theorem blockDiagonal'_map (M : ∀ i, Matrix (m' i) (n' i) α) (f : α → β) (hf : f 0 = 0) :
     (blockDiagonal' M).map f = blockDiagonal' fun k => (M k).map f :=
   by
@@ -695,7 +838,9 @@ theorem blockDiagonal'_map (M : ∀ i, Matrix (m' i) (n' i) α) (f : α → β)
   simp only [map_apply, block_diagonal'_apply, eq_comm]
   rw [apply_dite f, hf]
 #align matrix.block_diagonal'_map Matrix.blockDiagonal'_map
+-/
 
+#print Matrix.blockDiagonal'_transpose /-
 @[simp]
 theorem blockDiagonal'_transpose (M : ∀ i, Matrix (m' i) (n' i) α) :
     (blockDiagonal' M)ᵀ = blockDiagonal' fun k => (M k)ᵀ :=
@@ -704,7 +849,9 @@ theorem blockDiagonal'_transpose (M : ∀ i, Matrix (m' i) (n' i) α) :
   simp only [transpose_apply, block_diagonal'_apply]
   split_ifs <;> cc
 #align matrix.block_diagonal'_transpose Matrix.blockDiagonal'_transpose
+-/
 
+#print Matrix.blockDiagonal'_conjTranspose /-
 @[simp]
 theorem blockDiagonal'_conjTranspose {α} [AddMonoid α] [StarAddMonoid α]
     (M : ∀ i, Matrix (m' i) (n' i) α) : (blockDiagonal' M)ᴴ = blockDiagonal' fun k => (M k)ᴴ :=
@@ -712,12 +859,16 @@ theorem blockDiagonal'_conjTranspose {α} [AddMonoid α] [StarAddMonoid α]
   simp only [conj_transpose, block_diagonal'_transpose]
   exact block_diagonal'_map _ star (star_zero α)
 #align matrix.block_diagonal'_conj_transpose Matrix.blockDiagonal'_conjTranspose
+-/
 
+#print Matrix.blockDiagonal'_zero /-
 @[simp]
 theorem blockDiagonal'_zero : blockDiagonal' (0 : ∀ i, Matrix (m' i) (n' i) α) = 0 := by ext;
   simp [block_diagonal'_apply]
 #align matrix.block_diagonal'_zero Matrix.blockDiagonal'_zero
+-/
 
+#print Matrix.blockDiagonal'_diagonal /-
 @[simp]
 theorem blockDiagonal'_diagonal [∀ i, DecidableEq (m' i)] (d : ∀ i, m' i → α) :
     (blockDiagonal' fun k => diagonal (d k)) = diagonal fun ik => d ik.1 ik.2 :=
@@ -728,16 +879,20 @@ theorem blockDiagonal'_diagonal [∀ i, DecidableEq (m' i)] (d : ∀ i, m' i →
   · simp
   · simp [hij]
 #align matrix.block_diagonal'_diagonal Matrix.blockDiagonal'_diagonal
+-/
 
+#print Matrix.blockDiagonal'_one /-
 @[simp]
 theorem blockDiagonal'_one [∀ i, DecidableEq (m' i)] [One α] :
     blockDiagonal' (1 : ∀ i, Matrix (m' i) (m' i) α) = 1 :=
   show (blockDiagonal' fun i : o => diagonal fun _ : m' i => (1 : α)) = diagonal fun _ => 1 by
     rw [block_diagonal'_diagonal]
 #align matrix.block_diagonal'_one Matrix.blockDiagonal'_one
+-/
 
 end Zero
 
+#print Matrix.blockDiagonal'_add /-
 @[simp]
 theorem blockDiagonal'_add [AddZeroClass α] (M N : ∀ i, Matrix (m' i) (n' i) α) :
     blockDiagonal' (M + N) = blockDiagonal' M + blockDiagonal' N :=
@@ -746,6 +901,7 @@ theorem blockDiagonal'_add [AddZeroClass α] (M N : ∀ i, Matrix (m' i) (n' i)
   simp only [block_diagonal'_apply, Pi.add_apply]
   split_ifs <;> simp
 #align matrix.block_diagonal'_add Matrix.blockDiagonal'_add
+-/
 
 section
 
@@ -765,18 +921,23 @@ def blockDiagonal'AddMonoidHom [AddZeroClass α] :
 
 end
 
+#print Matrix.blockDiagonal'_neg /-
 @[simp]
 theorem blockDiagonal'_neg [AddGroup α] (M : ∀ i, Matrix (m' i) (n' i) α) :
     blockDiagonal' (-M) = -blockDiagonal' M :=
   map_neg (blockDiagonal'AddMonoidHom m' n' α) M
 #align matrix.block_diagonal'_neg Matrix.blockDiagonal'_neg
+-/
 
+#print Matrix.blockDiagonal'_sub /-
 @[simp]
 theorem blockDiagonal'_sub [AddGroup α] (M N : ∀ i, Matrix (m' i) (n' i) α) :
     blockDiagonal' (M - N) = blockDiagonal' M - blockDiagonal' N :=
   map_sub (blockDiagonal'AddMonoidHom m' n' α) M N
 #align matrix.block_diagonal'_sub Matrix.blockDiagonal'_sub
+-/
 
+#print Matrix.blockDiagonal'_mul /-
 @[simp]
 theorem blockDiagonal'_mul [NonUnitalNonAssocSemiring α] [∀ i, Fintype (n' i)] [Fintype o]
     (M : ∀ i, Matrix (m' i) (n' i) α) (N : ∀ i, Matrix (n' i) (p' i) α) :
@@ -789,11 +950,13 @@ theorem blockDiagonal'_mul [NonUnitalNonAssocSemiring α] [∀ i, Fintype (n' i)
   · intro j' hj';
     exact Finset.sum_eq_zero fun _ _ => by rw [dif_neg hj'.symm, MulZeroClass.zero_mul]
 #align matrix.block_diagonal'_mul Matrix.blockDiagonal'_mul
+-/
 
 section
 
 variable (α m')
 
+#print Matrix.blockDiagonal'RingHom /-
 /-- `matrix.block_diagonal'` as a `ring_hom`. -/
 @[simps]
 def blockDiagonal'RingHom [∀ i, DecidableEq (m' i)] [Fintype o] [∀ i, Fintype (m' i)]
@@ -805,20 +968,25 @@ def blockDiagonal'RingHom [∀ i, DecidableEq (m' i)] [Fintype o] [∀ i, Fintyp
     map_one' := blockDiagonal'_one
     map_mul' := blockDiagonal'_mul }
 #align matrix.block_diagonal'_ring_hom Matrix.blockDiagonal'RingHom
+-/
 
 end
 
+#print Matrix.blockDiagonal'_pow /-
 @[simp]
 theorem blockDiagonal'_pow [∀ i, DecidableEq (m' i)] [Fintype o] [∀ i, Fintype (m' i)] [Semiring α]
     (M : ∀ i, Matrix (m' i) (m' i) α) (n : ℕ) : blockDiagonal' (M ^ n) = blockDiagonal' M ^ n :=
   map_pow (blockDiagonal'RingHom m' α) M n
 #align matrix.block_diagonal'_pow Matrix.blockDiagonal'_pow
+-/
 
+#print Matrix.blockDiagonal'_smul /-
 @[simp]
 theorem blockDiagonal'_smul {R : Type _} [Semiring R] [AddCommMonoid α] [Module R α] (x : R)
     (M : ∀ i, Matrix (m' i) (n' i) α) : blockDiagonal' (x • M) = x • blockDiagonal' M := by ext;
   simp only [block_diagonal'_apply, Pi.smul_apply]; split_ifs <;> simp
 #align matrix.block_diagonal'_smul Matrix.blockDiagonal'_smul
+-/
 
 end BlockDiagonal'
 
@@ -833,38 +1001,49 @@ def blockDiag' (M : Matrix (Σ i, m' i) (Σ i, n' i) α) (k : o) : Matrix (m' k)
 #align matrix.block_diag' Matrix.blockDiag'
 -/
 
+#print Matrix.blockDiag'_apply /-
 -- TODO: set as an equation lemma for `block_diag'`, see mathlib4#3024
 theorem blockDiag'_apply (M : Matrix (Σ i, m' i) (Σ i, n' i) α) (k : o) (i j) :
     blockDiag' M k i j = M ⟨k, i⟩ ⟨k, j⟩ :=
   rfl
 #align matrix.block_diag'_apply Matrix.blockDiag'_apply
+-/
 
+#print Matrix.blockDiag'_map /-
 theorem blockDiag'_map (M : Matrix (Σ i, m' i) (Σ i, n' i) α) (f : α → β) :
     blockDiag' (M.map f) = fun k => (blockDiag' M k).map f :=
   rfl
 #align matrix.block_diag'_map Matrix.blockDiag'_map
+-/
 
+#print Matrix.blockDiag'_transpose /-
 @[simp]
 theorem blockDiag'_transpose (M : Matrix (Σ i, m' i) (Σ i, n' i) α) (k : o) :
     blockDiag' Mᵀ k = (blockDiag' M k)ᵀ :=
   ext fun i j => rfl
 #align matrix.block_diag'_transpose Matrix.blockDiag'_transpose
+-/
 
+#print Matrix.blockDiag'_conjTranspose /-
 @[simp]
 theorem blockDiag'_conjTranspose {α : Type _} [AddMonoid α] [StarAddMonoid α]
     (M : Matrix (Σ i, m' i) (Σ i, n' i) α) (k : o) : blockDiag' Mᴴ k = (blockDiag' M k)ᴴ :=
   ext fun i j => rfl
 #align matrix.block_diag'_conj_transpose Matrix.blockDiag'_conjTranspose
+-/
 
 section Zero
 
 variable [Zero α] [Zero β]
 
+#print Matrix.blockDiag'_zero /-
 @[simp]
 theorem blockDiag'_zero : blockDiag' (0 : Matrix (Σ i, m' i) (Σ i, n' i) α) = 0 :=
   rfl
 #align matrix.block_diag'_zero Matrix.blockDiag'_zero
+-/
 
+#print Matrix.blockDiag'_diagonal /-
 @[simp]
 theorem blockDiag'_diagonal [DecidableEq o] [∀ i, DecidableEq (m' i)] (d : (Σ i, m' i) → α)
     (k : o) : blockDiag' (diagonal d) k = diagonal fun i => d ⟨k, i⟩ :=
@@ -874,37 +1053,48 @@ theorem blockDiag'_diagonal [DecidableEq o] [∀ i, DecidableEq (m' i)] (d : (Σ
     · rw [block_diag'_apply, diagonal_apply_ne _ hij, diagonal_apply_ne _ (mt (fun h => _) hij)]
       cases h; rfl
 #align matrix.block_diag'_diagonal Matrix.blockDiag'_diagonal
+-/
 
+#print Matrix.blockDiag'_blockDiagonal' /-
 @[simp]
 theorem blockDiag'_blockDiagonal' [DecidableEq o] (M : ∀ i, Matrix (m' i) (n' i) α) :
     blockDiag' (blockDiagonal' M) = M :=
   funext fun k => ext fun i j => blockDiagonal'_apply_eq M _ _ _
 #align matrix.block_diag'_block_diagonal' Matrix.blockDiag'_blockDiagonal'
+-/
 
+#print Matrix.blockDiagonal'_injective /-
 theorem blockDiagonal'_injective [DecidableEq o] :
     Function.Injective (blockDiagonal' : (∀ i, Matrix (m' i) (n' i) α) → Matrix _ _ α) :=
   Function.LeftInverse.injective blockDiag'_blockDiagonal'
 #align matrix.block_diagonal'_injective Matrix.blockDiagonal'_injective
+-/
 
+#print Matrix.blockDiagonal'_inj /-
 @[simp]
 theorem blockDiagonal'_inj [DecidableEq o] {M N : ∀ i, Matrix (m' i) (n' i) α} :
     blockDiagonal' M = blockDiagonal' N ↔ M = N :=
   blockDiagonal'_injective.eq_iff
 #align matrix.block_diagonal'_inj Matrix.blockDiagonal'_inj
+-/
 
+#print Matrix.blockDiag'_one /-
 @[simp]
 theorem blockDiag'_one [DecidableEq o] [∀ i, DecidableEq (m' i)] [One α] :
     blockDiag' (1 : Matrix (Σ i, m' i) (Σ i, m' i) α) = 1 :=
   funext <| blockDiag'_diagonal _
 #align matrix.block_diag'_one Matrix.blockDiag'_one
+-/
 
 end Zero
 
+#print Matrix.blockDiag'_add /-
 @[simp]
 theorem blockDiag'_add [AddZeroClass α] (M N : Matrix (Σ i, m' i) (Σ i, n' i) α) :
     blockDiag' (M + N) = blockDiag' M + blockDiag' N :=
   rfl
 #align matrix.block_diag'_add Matrix.blockDiag'_add
+-/
 
 section
 
@@ -924,23 +1114,29 @@ def blockDiag'AddMonoidHom [AddZeroClass α] :
 
 end
 
+#print Matrix.blockDiag'_neg /-
 @[simp]
 theorem blockDiag'_neg [AddGroup α] (M : Matrix (Σ i, m' i) (Σ i, n' i) α) :
     blockDiag' (-M) = -blockDiag' M :=
   map_neg (blockDiag'AddMonoidHom m' n' α) M
 #align matrix.block_diag'_neg Matrix.blockDiag'_neg
+-/
 
+#print Matrix.blockDiag'_sub /-
 @[simp]
 theorem blockDiag'_sub [AddGroup α] (M N : Matrix (Σ i, m' i) (Σ i, n' i) α) :
     blockDiag' (M - N) = blockDiag' M - blockDiag' N :=
   map_sub (blockDiag'AddMonoidHom m' n' α) M N
 #align matrix.block_diag'_sub Matrix.blockDiag'_sub
+-/
 
+#print Matrix.blockDiag'_smul /-
 @[simp]
 theorem blockDiag'_smul {R : Type _} [Monoid R] [AddMonoid α] [DistribMulAction R α] (x : R)
     (M : Matrix (Σ i, m' i) (Σ i, n' i) α) : blockDiag' (x • M) = x • blockDiag' M :=
   rfl
 #align matrix.block_diag'_smul Matrix.blockDiag'_smul
+-/
 
 end BlockDiag'
 
@@ -948,6 +1144,7 @@ section
 
 variable [CommRing R]
 
+#print Matrix.toBlock_mul_eq_mul /-
 theorem toBlock_mul_eq_mul {m n k : Type _} [Fintype n] (p : m → Prop) (q : k → Prop)
     (A : Matrix m n R) (B : Matrix n k R) : (A ⬝ B).toBlock p q = A.toBlock p ⊤ ⬝ B.toBlock ⊤ q :=
   by
@@ -956,7 +1153,9 @@ theorem toBlock_mul_eq_mul {m n k : Type _} [Fintype n] (p : m → Prop) (q : k
   rw [Finset.sum_subtype]
   simp [Top.top, CompleteLattice.top, BoundedOrder.top]
 #align matrix.to_block_mul_eq_mul Matrix.toBlock_mul_eq_mul
+-/
 
+#print Matrix.toBlock_mul_eq_add /-
 theorem toBlock_mul_eq_add {m n k : Type _} [Fintype n] (p : m → Prop) (q : n → Prop)
     [DecidablePred q] (r : k → Prop) (A : Matrix m n R) (B : Matrix n k R) :
     (A ⬝ B).toBlock p r =
@@ -967,6 +1166,7 @@ theorem toBlock_mul_eq_add {m n k : Type _} [Fintype n] (p : m → Prop) (q : n
   simp only [to_block_apply, mul_apply, Pi.add_apply]
   convert (Fintype.sum_subtype_add_sum_subtype q fun x => A (↑i) x * B x ↑k).symm
 #align matrix.to_block_mul_eq_add Matrix.toBlock_mul_eq_add
+-/
 
 end
 
Diff
@@ -963,9 +963,9 @@ theorem toBlock_mul_eq_add {m n k : Type _} [Fintype n] (p : m → Prop) (q : n
       A.toBlock p q ⬝ B.toBlock q r + (A.toBlock p fun i => ¬q i) ⬝ B.toBlock (fun i => ¬q i) r :=
   by
   classical
-    ext (i k)
-    simp only [to_block_apply, mul_apply, Pi.add_apply]
-    convert(Fintype.sum_subtype_add_sum_subtype q fun x => A (↑i) x * B x ↑k).symm
+  ext (i k)
+  simp only [to_block_apply, mul_apply, Pi.add_apply]
+  convert (Fintype.sum_subtype_add_sum_subtype q fun x => A (↑i) x * B x ↑k).symm
 #align matrix.to_block_mul_eq_add Matrix.toBlock_mul_eq_add
 
 end
Diff
@@ -646,10 +646,10 @@ variable [Zero α] [Zero β]
 and zero elsewhere.
 
 This is the dependently-typed version of `matrix.block_diagonal`. -/
-def blockDiagonal' (M : ∀ i, Matrix (m' i) (n' i) α) : Matrix (Σi, m' i) (Σi, n' i) α :=
+def blockDiagonal' (M : ∀ i, Matrix (m' i) (n' i) α) : Matrix (Σ i, m' i) (Σ i, n' i) α :=
   of <|
     (fun ⟨k, i⟩ ⟨k', j⟩ => if h : k = k' then M k i (cast (congr_arg n' h.symm) j) else 0 :
-      (Σi, m' i) → (Σi, n' i) → α)
+      (Σ i, m' i) → (Σ i, n' i) → α)
 #align matrix.block_diagonal' Matrix.blockDiagonal'
 -/
 
@@ -755,7 +755,7 @@ variable (m' n' α)
 /-- `matrix.block_diagonal'` as an `add_monoid_hom`. -/
 @[simps]
 def blockDiagonal'AddMonoidHom [AddZeroClass α] :
-    (∀ i, Matrix (m' i) (n' i) α) →+ Matrix (Σi, m' i) (Σi, n' i) α
+    (∀ i, Matrix (m' i) (n' i) α) →+ Matrix (Σ i, m' i) (Σ i, n' i) α
     where
   toFun := blockDiagonal'
   map_zero' := blockDiagonal'_zero
@@ -797,7 +797,7 @@ variable (α m')
 /-- `matrix.block_diagonal'` as a `ring_hom`. -/
 @[simps]
 def blockDiagonal'RingHom [∀ i, DecidableEq (m' i)] [Fintype o] [∀ i, Fintype (m' i)]
-    [NonAssocSemiring α] : (∀ i, Matrix (m' i) (m' i) α) →+* Matrix (Σi, m' i) (Σi, m' i) α :=
+    [NonAssocSemiring α] : (∀ i, Matrix (m' i) (m' i) α) →+* Matrix (Σ i, m' i) (Σ i, m' i) α :=
   {
     blockDiagonal'AddMonoidHom m' m'
       α with
@@ -828,31 +828,31 @@ section BlockDiag'
 /-- Extract a block from the diagonal of a block diagonal matrix.
 
 This is the block form of `matrix.diag`, and the left-inverse of `matrix.block_diagonal'`. -/
-def blockDiag' (M : Matrix (Σi, m' i) (Σi, n' i) α) (k : o) : Matrix (m' k) (n' k) α :=
+def blockDiag' (M : Matrix (Σ i, m' i) (Σ i, n' i) α) (k : o) : Matrix (m' k) (n' k) α :=
   of fun i j => M ⟨k, i⟩ ⟨k, j⟩
 #align matrix.block_diag' Matrix.blockDiag'
 -/
 
 -- TODO: set as an equation lemma for `block_diag'`, see mathlib4#3024
-theorem blockDiag'_apply (M : Matrix (Σi, m' i) (Σi, n' i) α) (k : o) (i j) :
+theorem blockDiag'_apply (M : Matrix (Σ i, m' i) (Σ i, n' i) α) (k : o) (i j) :
     blockDiag' M k i j = M ⟨k, i⟩ ⟨k, j⟩ :=
   rfl
 #align matrix.block_diag'_apply Matrix.blockDiag'_apply
 
-theorem blockDiag'_map (M : Matrix (Σi, m' i) (Σi, n' i) α) (f : α → β) :
+theorem blockDiag'_map (M : Matrix (Σ i, m' i) (Σ i, n' i) α) (f : α → β) :
     blockDiag' (M.map f) = fun k => (blockDiag' M k).map f :=
   rfl
 #align matrix.block_diag'_map Matrix.blockDiag'_map
 
 @[simp]
-theorem blockDiag'_transpose (M : Matrix (Σi, m' i) (Σi, n' i) α) (k : o) :
+theorem blockDiag'_transpose (M : Matrix (Σ i, m' i) (Σ i, n' i) α) (k : o) :
     blockDiag' Mᵀ k = (blockDiag' M k)ᵀ :=
   ext fun i j => rfl
 #align matrix.block_diag'_transpose Matrix.blockDiag'_transpose
 
 @[simp]
 theorem blockDiag'_conjTranspose {α : Type _} [AddMonoid α] [StarAddMonoid α]
-    (M : Matrix (Σi, m' i) (Σi, n' i) α) (k : o) : blockDiag' Mᴴ k = (blockDiag' M k)ᴴ :=
+    (M : Matrix (Σ i, m' i) (Σ i, n' i) α) (k : o) : blockDiag' Mᴴ k = (blockDiag' M k)ᴴ :=
   ext fun i j => rfl
 #align matrix.block_diag'_conj_transpose Matrix.blockDiag'_conjTranspose
 
@@ -861,13 +861,13 @@ section Zero
 variable [Zero α] [Zero β]
 
 @[simp]
-theorem blockDiag'_zero : blockDiag' (0 : Matrix (Σi, m' i) (Σi, n' i) α) = 0 :=
+theorem blockDiag'_zero : blockDiag' (0 : Matrix (Σ i, m' i) (Σ i, n' i) α) = 0 :=
   rfl
 #align matrix.block_diag'_zero Matrix.blockDiag'_zero
 
 @[simp]
-theorem blockDiag'_diagonal [DecidableEq o] [∀ i, DecidableEq (m' i)] (d : (Σi, m' i) → α) (k : o) :
-    blockDiag' (diagonal d) k = diagonal fun i => d ⟨k, i⟩ :=
+theorem blockDiag'_diagonal [DecidableEq o] [∀ i, DecidableEq (m' i)] (d : (Σ i, m' i) → α)
+    (k : o) : blockDiag' (diagonal d) k = diagonal fun i => d ⟨k, i⟩ :=
   ext fun i j => by
     obtain rfl | hij := Decidable.eq_or_ne i j
     · rw [block_diag'_apply, diagonal_apply_eq, diagonal_apply_eq]
@@ -894,14 +894,14 @@ theorem blockDiagonal'_inj [DecidableEq o] {M N : ∀ i, Matrix (m' i) (n' i) α
 
 @[simp]
 theorem blockDiag'_one [DecidableEq o] [∀ i, DecidableEq (m' i)] [One α] :
-    blockDiag' (1 : Matrix (Σi, m' i) (Σi, m' i) α) = 1 :=
+    blockDiag' (1 : Matrix (Σ i, m' i) (Σ i, m' i) α) = 1 :=
   funext <| blockDiag'_diagonal _
 #align matrix.block_diag'_one Matrix.blockDiag'_one
 
 end Zero
 
 @[simp]
-theorem blockDiag'_add [AddZeroClass α] (M N : Matrix (Σi, m' i) (Σi, n' i) α) :
+theorem blockDiag'_add [AddZeroClass α] (M N : Matrix (Σ i, m' i) (Σ i, n' i) α) :
     blockDiag' (M + N) = blockDiag' M + blockDiag' N :=
   rfl
 #align matrix.block_diag'_add Matrix.blockDiag'_add
@@ -914,7 +914,7 @@ variable (m' n' α)
 /-- `matrix.block_diag'` as an `add_monoid_hom`. -/
 @[simps]
 def blockDiag'AddMonoidHom [AddZeroClass α] :
-    Matrix (Σi, m' i) (Σi, n' i) α →+ ∀ i, Matrix (m' i) (n' i) α
+    Matrix (Σ i, m' i) (Σ i, n' i) α →+ ∀ i, Matrix (m' i) (n' i) α
     where
   toFun := blockDiag'
   map_zero' := blockDiag'_zero
@@ -925,20 +925,20 @@ def blockDiag'AddMonoidHom [AddZeroClass α] :
 end
 
 @[simp]
-theorem blockDiag'_neg [AddGroup α] (M : Matrix (Σi, m' i) (Σi, n' i) α) :
+theorem blockDiag'_neg [AddGroup α] (M : Matrix (Σ i, m' i) (Σ i, n' i) α) :
     blockDiag' (-M) = -blockDiag' M :=
   map_neg (blockDiag'AddMonoidHom m' n' α) M
 #align matrix.block_diag'_neg Matrix.blockDiag'_neg
 
 @[simp]
-theorem blockDiag'_sub [AddGroup α] (M N : Matrix (Σi, m' i) (Σi, n' i) α) :
+theorem blockDiag'_sub [AddGroup α] (M N : Matrix (Σ i, m' i) (Σ i, n' i) α) :
     blockDiag' (M - N) = blockDiag' M - blockDiag' N :=
   map_sub (blockDiag'AddMonoidHom m' n' α) M N
 #align matrix.block_diag'_sub Matrix.blockDiag'_sub
 
 @[simp]
 theorem blockDiag'_smul {R : Type _} [Monoid R] [AddMonoid α] [DistribMulAction R α] (x : R)
-    (M : Matrix (Σi, m' i) (Σi, n' i) α) : blockDiag' (x • M) = x • blockDiag' M :=
+    (M : Matrix (Σ i, m' i) (Σ i, n' i) α) : blockDiag' (x • M) = x • blockDiag' M :=
   rfl
 #align matrix.block_diag'_smul Matrix.blockDiag'_smul
 
Diff
@@ -34,7 +34,7 @@ variable {l m n o p q : Type _} {m' n' p' : o → Type _}
 
 variable {R : Type _} {S : Type _} {α : Type _} {β : Type _}
 
-open BigOperators Matrix
+open scoped BigOperators Matrix
 
 namespace Matrix
 
Diff
@@ -38,12 +38,6 @@ open BigOperators Matrix
 
 namespace Matrix
 
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 theorem dotProduct_block [Fintype m] [Fintype n] [Mul α] [AddCommMonoid α] (v w : Sum m n → α) :
     v ⬝ᵥ w = v ∘ Sum.inl ⬝ᵥ w ∘ Sum.inl + v ∘ Sum.inr ⬝ᵥ w ∘ Sum.inr :=
   Fintype.sum_sum_type _
@@ -61,48 +55,24 @@ def fromBlocks (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α) (D :
 #align matrix.from_blocks Matrix.fromBlocks
 -/
 
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 @[simp]
 theorem fromBlocks_apply₁₁ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) (i : n) (j : l) : fromBlocks A B C D (Sum.inl i) (Sum.inl j) = A i j :=
   rfl
 #align matrix.from_blocks_apply₁₁ Matrix.fromBlocks_apply₁₁
 
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 @[simp]
 theorem fromBlocks_apply₁₂ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) (i : n) (j : m) : fromBlocks A B C D (Sum.inl i) (Sum.inr j) = B i j :=
   rfl
 #align matrix.from_blocks_apply₁₂ Matrix.fromBlocks_apply₁₂
 
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 @[simp]
 theorem fromBlocks_apply₂₁ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) (i : o) (j : l) : fromBlocks A B C D (Sum.inr i) (Sum.inl j) = C i j :=
   rfl
 #align matrix.from_blocks_apply₂₁ Matrix.fromBlocks_apply₂₁
 
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 @[simp]
 theorem fromBlocks_apply₂₂ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) (i : o) (j : m) : fromBlocks A B C D (Sum.inr i) (Sum.inr j) = D i j :=
@@ -141,71 +111,35 @@ def toBlocks₂₂ (M : Matrix (Sum n o) (Sum l m) α) : Matrix o m α :=
 #align matrix.to_blocks₂₂ Matrix.toBlocks₂₂
 -/
 
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 theorem fromBlocks_toBlocks (M : Matrix (Sum n o) (Sum l m) α) :
     fromBlocks M.toBlocks₁₁ M.toBlocks₁₂ M.toBlocks₂₁ M.toBlocks₂₂ = M := by ext (i j);
   rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> rfl
 #align matrix.from_blocks_to_blocks Matrix.fromBlocks_toBlocks
 
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 @[simp]
 theorem toBlocks_fromBlocks₁₁ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : (fromBlocks A B C D).toBlocks₁₁ = A :=
   rfl
 #align matrix.to_blocks_from_blocks₁₁ Matrix.toBlocks_fromBlocks₁₁
 
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 @[simp]
 theorem toBlocks_fromBlocks₁₂ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : (fromBlocks A B C D).toBlocks₁₂ = B :=
   rfl
 #align matrix.to_blocks_from_blocks₁₂ Matrix.toBlocks_fromBlocks₁₂
 
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 @[simp]
 theorem toBlocks_fromBlocks₂₁ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : (fromBlocks A B C D).toBlocks₂₁ = C :=
   rfl
 #align matrix.to_blocks_from_blocks₂₁ Matrix.toBlocks_fromBlocks₂₁
 
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 @[simp]
 theorem toBlocks_fromBlocks₂₂ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : (fromBlocks A B C D).toBlocks₂₂ = D :=
   rfl
 #align matrix.to_blocks_from_blocks₂₂ Matrix.toBlocks_fromBlocks₂₂
 
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 /-- Two block matrices are equal if their blocks are equal. -/
 theorem ext_iff_blocks {A B : Matrix (Sum n o) (Sum l m) α} :
     A = B ↔
@@ -215,12 +149,6 @@ theorem ext_iff_blocks {A B : Matrix (Sum n o) (Sum l m) α} :
     rw [← from_blocks_to_blocks A, ← from_blocks_to_blocks B, h₁₁, h₁₂, h₂₁, h₂₂]⟩
 #align matrix.ext_iff_blocks Matrix.ext_iff_blocks
 
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 @[simp]
 theorem fromBlocks_inj {A : Matrix n l α} {B : Matrix n m α} {C : Matrix o l α} {D : Matrix o m α}
     {A' : Matrix n l α} {B' : Matrix n m α} {C' : Matrix o l α} {D' : Matrix o m α} :
@@ -228,45 +156,21 @@ theorem fromBlocks_inj {A : Matrix n l α} {B : Matrix n m α} {C : Matrix o l 
   ext_iff_blocks
 #align matrix.from_blocks_inj Matrix.fromBlocks_inj
 
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 theorem fromBlocks_map (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α) (D : Matrix o m α)
     (f : α → β) : (fromBlocks A B C D).map f = fromBlocks (A.map f) (B.map f) (C.map f) (D.map f) :=
   by ext (i j); rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> simp [from_blocks]
 #align matrix.from_blocks_map Matrix.fromBlocks_map
 
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 theorem fromBlocks_transpose (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : (fromBlocks A B C D)ᵀ = fromBlocks Aᵀ Cᵀ Bᵀ Dᵀ := by ext (i j);
   rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> simp [from_blocks]
 #align matrix.from_blocks_transpose Matrix.fromBlocks_transpose
 
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 theorem fromBlocks_conjTranspose [Star α] (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : (fromBlocks A B C D)ᴴ = fromBlocks Aᴴ Cᴴ Bᴴ Dᴴ := by
   simp only [conj_transpose, from_blocks_transpose, from_blocks_map]
 #align matrix.from_blocks_conj_transpose Matrix.fromBlocks_conjTranspose
 
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 @[simp]
 theorem fromBlocks_submatrix_sum_swap_left (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) (f : p → Sum l m) :
@@ -274,12 +178,6 @@ theorem fromBlocks_submatrix_sum_swap_left (A : Matrix n l α) (B : Matrix n m 
   cases i <;> dsimp <;> cases f j <;> rfl
 #align matrix.from_blocks_submatrix_sum_swap_left Matrix.fromBlocks_submatrix_sum_swap_left
 
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 @[simp]
 theorem fromBlocks_submatrix_sum_swap_right (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) (f : p → Sum n o) :
@@ -287,12 +185,6 @@ theorem fromBlocks_submatrix_sum_swap_right (A : Matrix n l α) (B : Matrix n m
   cases j <;> dsimp <;> cases f i <;> rfl
 #align matrix.from_blocks_submatrix_sum_swap_right Matrix.fromBlocks_submatrix_sum_swap_right
 
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 theorem fromBlocks_submatrix_sum_swap_sum_swap {l m n o α : Type _} (A : Matrix n l α)
     (B : Matrix n m α) (C : Matrix o l α) (D : Matrix o m α) :
     (fromBlocks A B C D).submatrix Sum.swap Sum.swap = fromBlocks D C B A := by simp
@@ -313,12 +205,6 @@ def toBlock (M : Matrix m n α) (p : m → Prop) (q : n → Prop) : Matrix { a /
 #align matrix.to_block Matrix.toBlock
 -/
 
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 @[simp]
 theorem toBlock_apply (M : Matrix m n α) (p : m → Prop) (q : n → Prop) (i : { a // p a })
     (j : { a // q a }) : toBlock M p q i j = M ↑i ↑j :=
@@ -333,12 +219,6 @@ def toSquareBlockProp (M : Matrix m m α) (p : m → Prop) : Matrix { a // p a }
 #align matrix.to_square_block_prop Matrix.toSquareBlockProp
 -/
 
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 theorem toSquareBlockProp_def (M : Matrix m m α) (p : m → Prop) :
     toSquareBlockProp M p = fun i j => M ↑i ↑j :=
   rfl
@@ -353,56 +233,26 @@ def toSquareBlock (M : Matrix m m α) (b : m → β) (k : β) :
 #align matrix.to_square_block Matrix.toSquareBlock
 -/
 
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 theorem toSquareBlock_def (M : Matrix m m α) (b : m → β) (k : β) :
     toSquareBlock M b k = fun i j => M ↑i ↑j :=
   rfl
 #align matrix.to_square_block_def Matrix.toSquareBlock_def
 
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 theorem fromBlocks_smul [SMul R α] (x : R) (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : x • fromBlocks A B C D = fromBlocks (x • A) (x • B) (x • C) (x • D) := by
   ext (i j); rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> simp [from_blocks]
 #align matrix.from_blocks_smul Matrix.fromBlocks_smul
 
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 theorem fromBlocks_neg [Neg R] (A : Matrix n l R) (B : Matrix n m R) (C : Matrix o l R)
     (D : Matrix o m R) : -fromBlocks A B C D = fromBlocks (-A) (-B) (-C) (-D) := by ext (i j);
   cases i <;> cases j <;> simp [from_blocks]
 #align matrix.from_blocks_neg Matrix.fromBlocks_neg
 
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 @[simp]
 theorem fromBlocks_zero [Zero α] : fromBlocks (0 : Matrix n l α) 0 0 (0 : Matrix o m α) = 0 := by
   ext (i j); rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> rfl
 #align matrix.from_blocks_zero Matrix.fromBlocks_zero
 
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 theorem fromBlocks_add [Add α] (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) (A' : Matrix n l α) (B' : Matrix n m α) (C' : Matrix o l α)
     (D' : Matrix o m α) :
@@ -410,9 +260,6 @@ theorem fromBlocks_add [Add α] (A : Matrix n l α) (B : Matrix n m α) (C : Mat
   by ext (i j); rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> rfl
 #align matrix.from_blocks_add Matrix.fromBlocks_add
 
-/- warning: matrix.from_blocks_multiply -> Matrix.fromBlocks_multiply is a dubious translation:
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 theorem fromBlocks_multiply [Fintype l] [Fintype m] [NonUnitalNonAssocSemiring α] (A : Matrix n l α)
     (B : Matrix n m α) (C : Matrix o l α) (D : Matrix o m α) (A' : Matrix l p α) (B' : Matrix l q α)
     (C' : Matrix m p α) (D' : Matrix m q α) :
@@ -424,12 +271,6 @@ theorem fromBlocks_multiply [Fintype l] [Fintype m] [NonUnitalNonAssocSemiring 
       Pi.add_apply, of_apply]
 #align matrix.from_blocks_multiply Matrix.fromBlocks_multiply
 
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 theorem fromBlocks_mulVec [Fintype l] [Fintype m] [NonUnitalNonAssocSemiring α] (A : Matrix n l α)
     (B : Matrix n m α) (C : Matrix o l α) (D : Matrix o m α) (x : Sum l m → α) :
     mulVec (fromBlocks A B C D) x =
@@ -438,12 +279,6 @@ theorem fromBlocks_mulVec [Fintype l] [Fintype m] [NonUnitalNonAssocSemiring α]
   by ext i; cases i <;> simp [mul_vec, dot_product]
 #align matrix.from_blocks_mul_vec Matrix.fromBlocks_mulVec
 
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 theorem vecMul_fromBlocks [Fintype n] [Fintype o] [NonUnitalNonAssocSemiring α] (A : Matrix n l α)
     (B : Matrix n m α) (C : Matrix o l α) (D : Matrix o m α) (x : Sum n o → α) :
     vecMul x (fromBlocks A B C D) =
@@ -458,12 +293,6 @@ section Zero
 
 variable [Zero α]
 
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 theorem toBlock_diagonal_self (d : m → α) (p : m → Prop) :
     Matrix.toBlock (diagonal d) p p = diagonal fun i : Subtype p => d ↑i :=
   by
@@ -473,12 +302,6 @@ theorem toBlock_diagonal_self (d : m → α) (p : m → Prop) :
   · simp [One.one, h, fun h' => h <| Subtype.ext h']
 #align matrix.to_block_diagonal_self Matrix.toBlock_diagonal_self
 
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 theorem toBlock_diagonal_disjoint (d : m → α) {p q : m → Prop} (hpq : Disjoint p q) :
     Matrix.toBlock (diagonal d) p q = 0 :=
   by
@@ -487,12 +310,6 @@ theorem toBlock_diagonal_disjoint (d : m → α) {p q : m → Prop} (hpq : Disjo
   simp [diagonal_apply_ne d this]
 #align matrix.to_block_diagonal_disjoint Matrix.toBlock_diagonal_disjoint
 
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 @[simp]
 theorem fromBlocks_diagonal (d₁ : l → α) (d₂ : m → α) :
     fromBlocks (diagonal d₁) 0 0 (diagonal d₂) = diagonal (Sum.elim d₁ d₂) := by ext (i j);
@@ -505,34 +322,16 @@ section HasZeroHasOne
 
 variable [Zero α] [One α]
 
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 @[simp]
 theorem fromBlocks_one : fromBlocks (1 : Matrix l l α) 0 0 (1 : Matrix m m α) = 1 := by ext (i j);
   rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> simp [one_apply]
 #align matrix.from_blocks_one Matrix.fromBlocks_one
 
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 @[simp]
 theorem toBlock_one_self (p : m → Prop) : Matrix.toBlock (1 : Matrix m m α) p p = 1 :=
   toBlock_diagonal_self _ p
 #align matrix.to_block_one_self Matrix.toBlock_one_self
 
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 theorem toBlock_one_disjoint {p q : m → Prop} (hpq : Disjoint p q) :
     Matrix.toBlock (1 : Matrix m m α) p q = 0 :=
   toBlock_diagonal_disjoint _ hpq
@@ -562,58 +361,28 @@ def blockDiagonal (M : o → Matrix m n α) : Matrix (m × o) (n × o) α :=
 #align matrix.block_diagonal Matrix.blockDiagonal
 -/
 
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 -- TODO: set as an equation lemma for `block_diagonal`, see mathlib4#3024
 theorem blockDiagonal_apply' (M : o → Matrix m n α) (i k j k') :
     blockDiagonal M ⟨i, k⟩ ⟨j, k'⟩ = if k = k' then M k i j else 0 :=
   rfl
 #align matrix.block_diagonal_apply' Matrix.blockDiagonal_apply'
 
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 theorem blockDiagonal_apply (M : o → Matrix m n α) (ik jk) :
     blockDiagonal M ik jk = if ik.2 = jk.2 then M ik.2 ik.1 jk.1 else 0 := by cases ik; cases jk;
   rfl
 #align matrix.block_diagonal_apply Matrix.blockDiagonal_apply
 
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 @[simp]
 theorem blockDiagonal_apply_eq (M : o → Matrix m n α) (i j k) :
     blockDiagonal M (i, k) (j, k) = M k i j :=
   if_pos rfl
 #align matrix.block_diagonal_apply_eq Matrix.blockDiagonal_apply_eq
 
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 theorem blockDiagonal_apply_ne (M : o → Matrix m n α) (i j) {k k'} (h : k ≠ k') :
     blockDiagonal M (i, k) (j, k') = 0 :=
   if_neg h
 #align matrix.block_diagonal_apply_ne Matrix.blockDiagonal_apply_ne
 
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 theorem blockDiagonal_map (M : o → Matrix m n α) (f : α → β) (hf : f 0 = 0) :
     (blockDiagonal M).map f = blockDiagonal fun k => (M k).map f :=
   by
@@ -622,12 +391,6 @@ theorem blockDiagonal_map (M : o → Matrix m n α) (f : α → β) (hf : f 0 =
   rw [apply_ite f, hf]
 #align matrix.block_diagonal_map Matrix.blockDiagonal_map
 
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 @[simp]
 theorem blockDiagonal_transpose (M : o → Matrix m n α) :
     (blockDiagonal M)ᵀ = blockDiagonal fun k => (M k)ᵀ :=
@@ -639,12 +402,6 @@ theorem blockDiagonal_transpose (M : o → Matrix m n α) :
   · rfl
 #align matrix.block_diagonal_transpose Matrix.blockDiagonal_transpose
 
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 @[simp]
 theorem blockDiagonal_conjTranspose {α : Type _} [AddMonoid α] [StarAddMonoid α]
     (M : o → Matrix m n α) : (blockDiagonal M)ᴴ = blockDiagonal fun k => (M k)ᴴ :=
@@ -653,23 +410,11 @@ theorem blockDiagonal_conjTranspose {α : Type _} [AddMonoid α] [StarAddMonoid
   rw [block_diagonal_map _ star (star_zero α)]
 #align matrix.block_diagonal_conj_transpose Matrix.blockDiagonal_conjTranspose
 
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 @[simp]
 theorem blockDiagonal_zero : blockDiagonal (0 : o → Matrix m n α) = 0 := by ext;
   simp [block_diagonal_apply]
 #align matrix.block_diagonal_zero Matrix.blockDiagonal_zero
 
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 @[simp]
 theorem blockDiagonal_diagonal [DecidableEq m] (d : o → m → α) :
     (blockDiagonal fun k => diagonal (d k)) = diagonal fun ik => d ik.2 ik.1 :=
@@ -680,12 +425,6 @@ theorem blockDiagonal_diagonal [DecidableEq m] (d : o → m → α) :
   rw [and_comm']
 #align matrix.block_diagonal_diagonal Matrix.blockDiagonal_diagonal
 
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 @[simp]
 theorem blockDiagonal_one [DecidableEq m] [One α] : blockDiagonal (1 : o → Matrix m m α) = 1 :=
   show (blockDiagonal fun _ : o => diagonal fun _ : m => (1 : α)) = diagonal fun _ => 1 by
@@ -694,12 +433,6 @@ theorem blockDiagonal_one [DecidableEq m] [One α] : blockDiagonal (1 : o → Ma
 
 end Zero
 
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 @[simp]
 theorem blockDiagonal_add [AddZeroClass α] (M N : o → Matrix m n α) :
     blockDiagonal (M + N) = blockDiagonal M + blockDiagonal N :=
@@ -726,36 +459,18 @@ def blockDiagonalAddMonoidHom [AddZeroClass α] : (o → Matrix m n α) →+ Mat
 
 end
 
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 @[simp]
 theorem blockDiagonal_neg [AddGroup α] (M : o → Matrix m n α) :
     blockDiagonal (-M) = -blockDiagonal M :=
   map_neg (blockDiagonalAddMonoidHom m n o α) M
 #align matrix.block_diagonal_neg Matrix.blockDiagonal_neg
 
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 @[simp]
 theorem blockDiagonal_sub [AddGroup α] (M N : o → Matrix m n α) :
     blockDiagonal (M - N) = blockDiagonal M - blockDiagonal N :=
   map_sub (blockDiagonalAddMonoidHom m n o α) M N
 #align matrix.block_diagonal_sub Matrix.blockDiagonal_sub
 
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 @[simp]
 theorem blockDiagonal_mul [Fintype n] [Fintype o] [NonUnitalNonAssocSemiring α]
     (M : o → Matrix m n α) (N : o → Matrix n p α) :
@@ -770,12 +485,6 @@ section
 
 variable (α m o)
 
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 /-- `matrix.block_diagonal` as a `ring_hom`. -/
 @[simps]
 def blockDiagonalRingHom [DecidableEq m] [Fintype o] [Fintype m] [NonAssocSemiring α] :
@@ -789,24 +498,12 @@ def blockDiagonalRingHom [DecidableEq m] [Fintype o] [Fintype m] [NonAssocSemiri
 
 end
 
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 @[simp]
 theorem blockDiagonal_pow [DecidableEq m] [Fintype o] [Fintype m] [Semiring α]
     (M : o → Matrix m m α) (n : ℕ) : blockDiagonal (M ^ n) = blockDiagonal M ^ n :=
   map_pow (blockDiagonalRingHom m o α) M n
 #align matrix.block_diagonal_pow Matrix.blockDiagonal_pow
 
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 @[simp]
 theorem blockDiagonal_smul {R : Type _} [Monoid R] [AddMonoid α] [DistribMulAction R α] (x : R)
     (M : o → Matrix m n α) : blockDiagonal (x • M) = x • blockDiagonal M := by ext;
@@ -826,47 +523,23 @@ def blockDiag (M : Matrix (m × o) (n × o) α) (k : o) : Matrix m n α :=
 #align matrix.block_diag Matrix.blockDiag
 -/
 
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 -- TODO: set as an equation lemma for `block_diag`, see mathlib4#3024
 theorem blockDiag_apply (M : Matrix (m × o) (n × o) α) (k : o) (i j) :
     blockDiag M k i j = M (i, k) (j, k) :=
   rfl
 #align matrix.block_diag_apply Matrix.blockDiag_apply
 
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 theorem blockDiag_map (M : Matrix (m × o) (n × o) α) (f : α → β) :
     blockDiag (M.map f) = fun k => (blockDiag M k).map f :=
   rfl
 #align matrix.block_diag_map Matrix.blockDiag_map
 
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 @[simp]
 theorem blockDiag_transpose (M : Matrix (m × o) (n × o) α) (k : o) :
     blockDiag Mᵀ k = (blockDiag M k)ᵀ :=
   ext fun i j => rfl
 #align matrix.block_diag_transpose Matrix.blockDiag_transpose
 
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 @[simp]
 theorem blockDiag_conjTranspose {α : Type _} [AddMonoid α] [StarAddMonoid α]
     (M : Matrix (m × o) (n × o) α) (k : o) : blockDiag Mᴴ k = (blockDiag M k)ᴴ :=
@@ -877,23 +550,11 @@ section Zero
 
 variable [Zero α] [Zero β]
 
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 @[simp]
 theorem blockDiag_zero : blockDiag (0 : Matrix (m × o) (n × o) α) = 0 :=
   rfl
 #align matrix.block_diag_zero Matrix.blockDiag_zero
 
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 @[simp]
 theorem blockDiag_diagonal [DecidableEq o] [DecidableEq m] (d : m × o → α) (k : o) :
     blockDiag (diagonal d) k = diagonal fun i => d (i, k) :=
@@ -904,47 +565,23 @@ theorem blockDiag_diagonal [DecidableEq o] [DecidableEq m] (d : m × o → α) (
       exact prod.fst_eq_iff.mpr
 #align matrix.block_diag_diagonal Matrix.blockDiag_diagonal
 
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 @[simp]
 theorem blockDiag_blockDiagonal [DecidableEq o] (M : o → Matrix m n α) :
     blockDiag (blockDiagonal M) = M :=
   funext fun k => ext fun i j => blockDiagonal_apply_eq M i j _
 #align matrix.block_diag_block_diagonal Matrix.blockDiag_blockDiagonal
 
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 theorem blockDiagonal_injective [DecidableEq o] :
     Function.Injective (blockDiagonal : (o → Matrix m n α) → Matrix _ _ α) :=
   Function.LeftInverse.injective blockDiag_blockDiagonal
 #align matrix.block_diagonal_injective Matrix.blockDiagonal_injective
 
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 @[simp]
 theorem blockDiagonal_inj [DecidableEq o] {M N : o → Matrix m n α} :
     blockDiagonal M = blockDiagonal N ↔ M = N :=
   blockDiagonal_injective.eq_iff
 #align matrix.block_diagonal_inj Matrix.blockDiagonal_inj
 
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 @[simp]
 theorem blockDiag_one [DecidableEq o] [DecidableEq m] [One α] :
     blockDiag (1 : Matrix (m × o) (m × o) α) = 1 :=
@@ -953,12 +590,6 @@ theorem blockDiag_one [DecidableEq o] [DecidableEq m] [One α] :
 
 end Zero
 
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 @[simp]
 theorem blockDiag_add [AddZeroClass α] (M N : Matrix (m × o) (n × o) α) :
     blockDiag (M + N) = blockDiag M + blockDiag N :=
@@ -982,35 +613,17 @@ def blockDiagAddMonoidHom [AddZeroClass α] : Matrix (m × o) (n × o) α →+ o
 
 end
 
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 @[simp]
 theorem blockDiag_neg [AddGroup α] (M : Matrix (m × o) (n × o) α) : blockDiag (-M) = -blockDiag M :=
   map_neg (blockDiagAddMonoidHom m n o α) M
 #align matrix.block_diag_neg Matrix.blockDiag_neg
 
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 @[simp]
 theorem blockDiag_sub [AddGroup α] (M N : Matrix (m × o) (n × o) α) :
     blockDiag (M - N) = blockDiag M - blockDiag N :=
   map_sub (blockDiagAddMonoidHom m n o α) M N
 #align matrix.block_diag_sub Matrix.blockDiag_sub
 
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 @[simp]
 theorem blockDiag_smul {R : Type _} [Monoid R] [AddMonoid α] [DistribMulAction R α] (x : R)
     (M : Matrix (m × o) (n × o) α) : blockDiag (x • M) = x • blockDiag M :=
@@ -1040,12 +653,6 @@ def blockDiagonal' (M : ∀ i, Matrix (m' i) (n' i) α) : Matrix (Σi, m' i) (Σ
 #align matrix.block_diagonal' Matrix.blockDiagonal'
 -/
 
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 -- TODO: set as an equation lemma for `block_diagonal'`, see mathlib4#3024
 theorem blockDiagonal'_apply' (M : ∀ i, Matrix (m' i) (n' i) α) (k i k' j) :
     blockDiagonal' M ⟨k, i⟩ ⟨k', j⟩ =
@@ -1053,70 +660,34 @@ theorem blockDiagonal'_apply' (M : ∀ i, Matrix (m' i) (n' i) α) (k i k' j) :
   rfl
 #align matrix.block_diagonal'_apply' Matrix.blockDiagonal'_apply'
 
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 theorem blockDiagonal'_eq_blockDiagonal (M : o → Matrix m n α) {k k'} (i j) :
     blockDiagonal M (i, k) (j, k') = blockDiagonal' M ⟨k, i⟩ ⟨k', j⟩ :=
   rfl
 #align matrix.block_diagonal'_eq_block_diagonal Matrix.blockDiagonal'_eq_blockDiagonal
 
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 theorem blockDiagonal'_submatrix_eq_blockDiagonal (M : o → Matrix m n α) :
     (blockDiagonal' M).submatrix (Prod.toSigma ∘ Prod.swap) (Prod.toSigma ∘ Prod.swap) =
       blockDiagonal M :=
   Matrix.ext fun ⟨k, i⟩ ⟨k', j⟩ => rfl
 #align matrix.block_diagonal'_submatrix_eq_block_diagonal Matrix.blockDiagonal'_submatrix_eq_blockDiagonal
 
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 theorem blockDiagonal'_apply (M : ∀ i, Matrix (m' i) (n' i) α) (ik jk) :
     blockDiagonal' M ik jk =
       if h : ik.1 = jk.1 then M ik.1 ik.2 (cast (congr_arg n' h.symm) jk.2) else 0 :=
   by cases ik; cases jk; rfl
 #align matrix.block_diagonal'_apply Matrix.blockDiagonal'_apply
 
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 @[simp]
 theorem blockDiagonal'_apply_eq (M : ∀ i, Matrix (m' i) (n' i) α) (k i j) :
     blockDiagonal' M ⟨k, i⟩ ⟨k, j⟩ = M k i j :=
   dif_pos rfl
 #align matrix.block_diagonal'_apply_eq Matrix.blockDiagonal'_apply_eq
 
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 theorem blockDiagonal'_apply_ne (M : ∀ i, Matrix (m' i) (n' i) α) {k k'} (i j) (h : k ≠ k') :
     blockDiagonal' M ⟨k, i⟩ ⟨k', j⟩ = 0 :=
   dif_neg h
 #align matrix.block_diagonal'_apply_ne Matrix.blockDiagonal'_apply_ne
 
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 theorem blockDiagonal'_map (M : ∀ i, Matrix (m' i) (n' i) α) (f : α → β) (hf : f 0 = 0) :
     (blockDiagonal' M).map f = blockDiagonal' fun k => (M k).map f :=
   by
@@ -1125,12 +696,6 @@ theorem blockDiagonal'_map (M : ∀ i, Matrix (m' i) (n' i) α) (f : α → β)
   rw [apply_dite f, hf]
 #align matrix.block_diagonal'_map Matrix.blockDiagonal'_map
 
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 @[simp]
 theorem blockDiagonal'_transpose (M : ∀ i, Matrix (m' i) (n' i) α) :
     (blockDiagonal' M)ᵀ = blockDiagonal' fun k => (M k)ᵀ :=
@@ -1140,12 +705,6 @@ theorem blockDiagonal'_transpose (M : ∀ i, Matrix (m' i) (n' i) α) :
   split_ifs <;> cc
 #align matrix.block_diagonal'_transpose Matrix.blockDiagonal'_transpose
 
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 @[simp]
 theorem blockDiagonal'_conjTranspose {α} [AddMonoid α] [StarAddMonoid α]
     (M : ∀ i, Matrix (m' i) (n' i) α) : (blockDiagonal' M)ᴴ = blockDiagonal' fun k => (M k)ᴴ :=
@@ -1154,23 +713,11 @@ theorem blockDiagonal'_conjTranspose {α} [AddMonoid α] [StarAddMonoid α]
   exact block_diagonal'_map _ star (star_zero α)
 #align matrix.block_diagonal'_conj_transpose Matrix.blockDiagonal'_conjTranspose
 
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 @[simp]
 theorem blockDiagonal'_zero : blockDiagonal' (0 : ∀ i, Matrix (m' i) (n' i) α) = 0 := by ext;
   simp [block_diagonal'_apply]
 #align matrix.block_diagonal'_zero Matrix.blockDiagonal'_zero
 
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 @[simp]
 theorem blockDiagonal'_diagonal [∀ i, DecidableEq (m' i)] (d : ∀ i, m' i → α) :
     (blockDiagonal' fun k => diagonal (d k)) = diagonal fun ik => d ik.1 ik.2 :=
@@ -1182,12 +729,6 @@ theorem blockDiagonal'_diagonal [∀ i, DecidableEq (m' i)] (d : ∀ i, m' i →
   · simp [hij]
 #align matrix.block_diagonal'_diagonal Matrix.blockDiagonal'_diagonal
 
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 @[simp]
 theorem blockDiagonal'_one [∀ i, DecidableEq (m' i)] [One α] :
     blockDiagonal' (1 : ∀ i, Matrix (m' i) (m' i) α) = 1 :=
@@ -1197,12 +738,6 @@ theorem blockDiagonal'_one [∀ i, DecidableEq (m' i)] [One α] :
 
 end Zero
 
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 @[simp]
 theorem blockDiagonal'_add [AddZeroClass α] (M N : ∀ i, Matrix (m' i) (n' i) α) :
     blockDiagonal' (M + N) = blockDiagonal' M + blockDiagonal' N :=
@@ -1230,36 +765,18 @@ def blockDiagonal'AddMonoidHom [AddZeroClass α] :
 
 end
 
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 @[simp]
 theorem blockDiagonal'_neg [AddGroup α] (M : ∀ i, Matrix (m' i) (n' i) α) :
     blockDiagonal' (-M) = -blockDiagonal' M :=
   map_neg (blockDiagonal'AddMonoidHom m' n' α) M
 #align matrix.block_diagonal'_neg Matrix.blockDiagonal'_neg
 
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 @[simp]
 theorem blockDiagonal'_sub [AddGroup α] (M N : ∀ i, Matrix (m' i) (n' i) α) :
     blockDiagonal' (M - N) = blockDiagonal' M - blockDiagonal' N :=
   map_sub (blockDiagonal'AddMonoidHom m' n' α) M N
 #align matrix.block_diagonal'_sub Matrix.blockDiagonal'_sub
 
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 @[simp]
 theorem blockDiagonal'_mul [NonUnitalNonAssocSemiring α] [∀ i, Fintype (n' i)] [Fintype o]
     (M : ∀ i, Matrix (m' i) (n' i) α) (N : ∀ i, Matrix (n' i) (p' i) α) :
@@ -1277,12 +794,6 @@ section
 
 variable (α m')
 
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 /-- `matrix.block_diagonal'` as a `ring_hom`. -/
 @[simps]
 def blockDiagonal'RingHom [∀ i, DecidableEq (m' i)] [Fintype o] [∀ i, Fintype (m' i)]
@@ -1297,21 +808,12 @@ def blockDiagonal'RingHom [∀ i, DecidableEq (m' i)] [Fintype o] [∀ i, Fintyp
 
 end
 
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 @[simp]
 theorem blockDiagonal'_pow [∀ i, DecidableEq (m' i)] [Fintype o] [∀ i, Fintype (m' i)] [Semiring α]
     (M : ∀ i, Matrix (m' i) (m' i) α) (n : ℕ) : blockDiagonal' (M ^ n) = blockDiagonal' M ^ n :=
   map_pow (blockDiagonal'RingHom m' α) M n
 #align matrix.block_diagonal'_pow Matrix.blockDiagonal'_pow
 
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 @[simp]
 theorem blockDiagonal'_smul {R : Type _} [Semiring R] [AddCommMonoid α] [Module R α] (x : R)
     (M : ∀ i, Matrix (m' i) (n' i) α) : blockDiagonal' (x • M) = x • blockDiagonal' M := by ext;
@@ -1331,47 +833,23 @@ def blockDiag' (M : Matrix (Σi, m' i) (Σi, n' i) α) (k : o) : Matrix (m' k) (
 #align matrix.block_diag' Matrix.blockDiag'
 -/
 
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 -- TODO: set as an equation lemma for `block_diag'`, see mathlib4#3024
 theorem blockDiag'_apply (M : Matrix (Σi, m' i) (Σi, n' i) α) (k : o) (i j) :
     blockDiag' M k i j = M ⟨k, i⟩ ⟨k, j⟩ :=
   rfl
 #align matrix.block_diag'_apply Matrix.blockDiag'_apply
 
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 theorem blockDiag'_map (M : Matrix (Σi, m' i) (Σi, n' i) α) (f : α → β) :
     blockDiag' (M.map f) = fun k => (blockDiag' M k).map f :=
   rfl
 #align matrix.block_diag'_map Matrix.blockDiag'_map
 
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 @[simp]
 theorem blockDiag'_transpose (M : Matrix (Σi, m' i) (Σi, n' i) α) (k : o) :
     blockDiag' Mᵀ k = (blockDiag' M k)ᵀ :=
   ext fun i j => rfl
 #align matrix.block_diag'_transpose Matrix.blockDiag'_transpose
 
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 @[simp]
 theorem blockDiag'_conjTranspose {α : Type _} [AddMonoid α] [StarAddMonoid α]
     (M : Matrix (Σi, m' i) (Σi, n' i) α) (k : o) : blockDiag' Mᴴ k = (blockDiag' M k)ᴴ :=
@@ -1382,23 +860,11 @@ section Zero
 
 variable [Zero α] [Zero β]
 
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 @[simp]
 theorem blockDiag'_zero : blockDiag' (0 : Matrix (Σi, m' i) (Σi, n' i) α) = 0 :=
   rfl
 #align matrix.block_diag'_zero Matrix.blockDiag'_zero
 
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 @[simp]
 theorem blockDiag'_diagonal [DecidableEq o] [∀ i, DecidableEq (m' i)] (d : (Σi, m' i) → α) (k : o) :
     blockDiag' (diagonal d) k = diagonal fun i => d ⟨k, i⟩ :=
@@ -1409,47 +875,23 @@ theorem blockDiag'_diagonal [DecidableEq o] [∀ i, DecidableEq (m' i)] (d : (Σ
       cases h; rfl
 #align matrix.block_diag'_diagonal Matrix.blockDiag'_diagonal
 
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 @[simp]
 theorem blockDiag'_blockDiagonal' [DecidableEq o] (M : ∀ i, Matrix (m' i) (n' i) α) :
     blockDiag' (blockDiagonal' M) = M :=
   funext fun k => ext fun i j => blockDiagonal'_apply_eq M _ _ _
 #align matrix.block_diag'_block_diagonal' Matrix.blockDiag'_blockDiagonal'
 
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 theorem blockDiagonal'_injective [DecidableEq o] :
     Function.Injective (blockDiagonal' : (∀ i, Matrix (m' i) (n' i) α) → Matrix _ _ α) :=
   Function.LeftInverse.injective blockDiag'_blockDiagonal'
 #align matrix.block_diagonal'_injective Matrix.blockDiagonal'_injective
 
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 @[simp]
 theorem blockDiagonal'_inj [DecidableEq o] {M N : ∀ i, Matrix (m' i) (n' i) α} :
     blockDiagonal' M = blockDiagonal' N ↔ M = N :=
   blockDiagonal'_injective.eq_iff
 #align matrix.block_diagonal'_inj Matrix.blockDiagonal'_inj
 
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 @[simp]
 theorem blockDiag'_one [DecidableEq o] [∀ i, DecidableEq (m' i)] [One α] :
     blockDiag' (1 : Matrix (Σi, m' i) (Σi, m' i) α) = 1 :=
@@ -1458,12 +900,6 @@ theorem blockDiag'_one [DecidableEq o] [∀ i, DecidableEq (m' i)] [One α] :
 
 end Zero
 
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 @[simp]
 theorem blockDiag'_add [AddZeroClass α] (M N : Matrix (Σi, m' i) (Σi, n' i) α) :
     blockDiag' (M + N) = blockDiag' M + blockDiag' N :=
@@ -1488,36 +924,18 @@ def blockDiag'AddMonoidHom [AddZeroClass α] :
 
 end
 
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 @[simp]
 theorem blockDiag'_neg [AddGroup α] (M : Matrix (Σi, m' i) (Σi, n' i) α) :
     blockDiag' (-M) = -blockDiag' M :=
   map_neg (blockDiag'AddMonoidHom m' n' α) M
 #align matrix.block_diag'_neg Matrix.blockDiag'_neg
 
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 @[simp]
 theorem blockDiag'_sub [AddGroup α] (M N : Matrix (Σi, m' i) (Σi, n' i) α) :
     blockDiag' (M - N) = blockDiag' M - blockDiag' N :=
   map_sub (blockDiag'AddMonoidHom m' n' α) M N
 #align matrix.block_diag'_sub Matrix.blockDiag'_sub
 
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 @[simp]
 theorem blockDiag'_smul {R : Type _} [Monoid R] [AddMonoid α] [DistribMulAction R α] (x : R)
     (M : Matrix (Σi, m' i) (Σi, n' i) α) : blockDiag' (x • M) = x • blockDiag' M :=
@@ -1530,12 +948,6 @@ section
 
 variable [CommRing R]
 
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-Case conversion may be inaccurate. Consider using '#align matrix.to_block_mul_eq_mul Matrix.toBlock_mul_eq_mulₓ'. -/
 theorem toBlock_mul_eq_mul {m n k : Type _} [Fintype n] (p : m → Prop) (q : k → Prop)
     (A : Matrix m n R) (B : Matrix n k R) : (A ⬝ B).toBlock p q = A.toBlock p ⊤ ⬝ B.toBlock ⊤ q :=
   by
@@ -1545,12 +957,6 @@ theorem toBlock_mul_eq_mul {m n k : Type _} [Fintype n] (p : m → Prop) (q : k
   simp [Top.top, CompleteLattice.top, BoundedOrder.top]
 #align matrix.to_block_mul_eq_mul Matrix.toBlock_mul_eq_mul
 
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-Case conversion may be inaccurate. Consider using '#align matrix.to_block_mul_eq_add Matrix.toBlock_mul_eq_addₓ'. -/
 theorem toBlock_mul_eq_add {m n k : Type _} [Fintype n] (p : m → Prop) (q : n → Prop)
     [DecidablePred q] (r : k → Prop) (A : Matrix m n R) (B : Matrix n k R) :
     (A ⬝ B).toBlock p r =
Diff
@@ -270,9 +270,7 @@ Case conversion may be inaccurate. Consider using '#align matrix.from_blocks_sub
 @[simp]
 theorem fromBlocks_submatrix_sum_swap_left (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) (f : p → Sum l m) :
-    (fromBlocks A B C D).submatrix Sum.swap f = (fromBlocks C D A B).submatrix id f :=
-  by
-  ext (i j)
+    (fromBlocks A B C D).submatrix Sum.swap f = (fromBlocks C D A B).submatrix id f := by ext (i j);
   cases i <;> dsimp <;> cases f j <;> rfl
 #align matrix.from_blocks_submatrix_sum_swap_left Matrix.fromBlocks_submatrix_sum_swap_left
 
@@ -285,9 +283,7 @@ Case conversion may be inaccurate. Consider using '#align matrix.from_blocks_sub
 @[simp]
 theorem fromBlocks_submatrix_sum_swap_right (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) (f : p → Sum n o) :
-    (fromBlocks A B C D).submatrix f Sum.swap = (fromBlocks B A D C).submatrix f id :=
-  by
-  ext (i j)
+    (fromBlocks A B C D).submatrix f Sum.swap = (fromBlocks B A D C).submatrix f id := by ext (i j);
   cases j <;> dsimp <;> cases f i <;> rfl
 #align matrix.from_blocks_submatrix_sum_swap_right Matrix.fromBlocks_submatrix_sum_swap_right
 
@@ -397,10 +393,8 @@ but is expected to have type
   forall {l : Type.{u4}} {m : Type.{u3}} {n : Type.{u2}} {o : Type.{u1}} {α : Type.{u5}} [_inst_1 : Zero.{u5} α], Eq.{max (max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1)) (succ u5)} (Matrix.{max u1 u2, max u3 u4, u5} (Sum.{u2, u1} n o) (Sum.{u4, u3} l m) α) (Matrix.fromBlocks.{u4, u3, u2, u1, u5} l m n o α (OfNat.ofNat.{max (max u4 u2) u5} (Matrix.{u2, u4, u5} n l α) 0 (Zero.toOfNat0.{max (max u4 u2) u5} (Matrix.{u2, u4, u5} n l α) (Matrix.zero.{u5, u2, u4} n l α _inst_1))) (OfNat.ofNat.{max (max u2 u5) u3} (Matrix.{u2, u3, u5} n m α) 0 (Zero.toOfNat0.{max (max u2 u5) u3} (Matrix.{u2, u3, u5} n m α) (Matrix.zero.{u5, u2, u3} n m α _inst_1))) (OfNat.ofNat.{max (max u4 u5) u1} (Matrix.{u1, u4, u5} o l α) 0 (Zero.toOfNat0.{max (max u4 u5) u1} (Matrix.{u1, u4, u5} o l α) (Matrix.zero.{u5, u1, u4} o l α _inst_1))) (OfNat.ofNat.{max (max u3 u1) u5} (Matrix.{u1, u3, u5} o m α) 0 (Zero.toOfNat0.{max (max u3 u1) u5} (Matrix.{u1, u3, u5} o m α) (Matrix.zero.{u5, u1, u3} o m α _inst_1)))) (OfNat.ofNat.{max (max (max (max u4 u3) u2) u1) u5} (Matrix.{max u1 u2, max u3 u4, u5} (Sum.{u2, u1} n o) (Sum.{u4, u3} l m) α) 0 (Zero.toOfNat0.{max (max (max (max u4 u3) u2) u1) u5} (Matrix.{max u1 u2, max u3 u4, u5} (Sum.{u2, u1} n o) (Sum.{u4, u3} l m) α) (Matrix.zero.{u5, max u2 u1, max u4 u3} (Sum.{u2, u1} n o) (Sum.{u4, u3} l m) α _inst_1)))
 Case conversion may be inaccurate. Consider using '#align matrix.from_blocks_zero Matrix.fromBlocks_zeroₓ'. -/
 @[simp]
-theorem fromBlocks_zero [Zero α] : fromBlocks (0 : Matrix n l α) 0 0 (0 : Matrix o m α) = 0 :=
-  by
-  ext (i j)
-  rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> rfl
+theorem fromBlocks_zero [Zero α] : fromBlocks (0 : Matrix n l α) 0 0 (0 : Matrix o m α) = 0 := by
+  ext (i j); rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> rfl
 #align matrix.from_blocks_zero Matrix.fromBlocks_zero
 
 /- warning: matrix.from_blocks_add -> Matrix.fromBlocks_add is a dubious translation:
@@ -441,9 +435,7 @@ theorem fromBlocks_mulVec [Fintype l] [Fintype m] [NonUnitalNonAssocSemiring α]
     mulVec (fromBlocks A B C D) x =
       Sum.elim (mulVec A (x ∘ Sum.inl) + mulVec B (x ∘ Sum.inr))
         (mulVec C (x ∘ Sum.inl) + mulVec D (x ∘ Sum.inr)) :=
-  by
-  ext i
-  cases i <;> simp [mul_vec, dot_product]
+  by ext i; cases i <;> simp [mul_vec, dot_product]
 #align matrix.from_blocks_mul_vec Matrix.fromBlocks_mulVec
 
 /- warning: matrix.vec_mul_from_blocks -> Matrix.vecMul_fromBlocks is a dubious translation:
@@ -457,9 +449,7 @@ theorem vecMul_fromBlocks [Fintype n] [Fintype o] [NonUnitalNonAssocSemiring α]
     vecMul x (fromBlocks A B C D) =
       Sum.elim (vecMul (x ∘ Sum.inl) A + vecMul (x ∘ Sum.inr) C)
         (vecMul (x ∘ Sum.inl) B + vecMul (x ∘ Sum.inr) D) :=
-  by
-  ext i
-  cases i <;> simp [vec_mul, dot_product]
+  by ext i; cases i <;> simp [vec_mul, dot_product]
 #align matrix.vec_mul_from_blocks Matrix.vecMul_fromBlocks
 
 variable [DecidableEq l] [DecidableEq m]
@@ -522,9 +512,7 @@ but is expected to have type
   forall {l : Type.{u3}} {m : Type.{u2}} {α : Type.{u1}} [_inst_1 : DecidableEq.{succ u3} l] [_inst_2 : DecidableEq.{succ u2} m] [_inst_3 : Zero.{u1} α] [_inst_4 : One.{u1} α], Eq.{max (max (succ u3) (succ u2)) (succ u1)} (Matrix.{max u2 u3, max u2 u3, u1} (Sum.{u3, u2} l m) (Sum.{u3, u2} l m) α) (Matrix.fromBlocks.{u3, u2, u3, u2, u1} l m l m α (OfNat.ofNat.{max u3 u1} (Matrix.{u3, u3, u1} l l α) 1 (One.toOfNat1.{max u3 u1} (Matrix.{u3, u3, u1} l l α) (Matrix.one.{u1, u3} l α (fun (a : l) (b : l) => _inst_1 a b) _inst_3 _inst_4))) (OfNat.ofNat.{max (max u3 u1) u2} (Matrix.{u3, u2, u1} l m α) 0 (Zero.toOfNat0.{max (max u3 u1) u2} (Matrix.{u3, u2, u1} l m α) (Matrix.zero.{u1, u3, u2} l m α _inst_3))) (OfNat.ofNat.{max (max u3 u1) u2} (Matrix.{u2, u3, u1} m l α) 0 (Zero.toOfNat0.{max (max u3 u1) u2} (Matrix.{u2, u3, u1} m l α) (Matrix.zero.{u1, u2, u3} m l α _inst_3))) (OfNat.ofNat.{max u2 u1} (Matrix.{u2, u2, u1} m m α) 1 (One.toOfNat1.{max u2 u1} (Matrix.{u2, u2, u1} m m α) (Matrix.one.{u1, u2} m α (fun (a : m) (b : m) => _inst_2 a b) _inst_3 _inst_4)))) (OfNat.ofNat.{max (max u3 u2) u1} (Matrix.{max u2 u3, max u2 u3, u1} (Sum.{u3, u2} l m) (Sum.{u3, u2} l m) α) 1 (One.toOfNat1.{max (max u3 u2) u1} (Matrix.{max u2 u3, max u2 u3, u1} (Sum.{u3, u2} l m) (Sum.{u3, u2} l m) α) (Matrix.one.{u1, max u3 u2} (Sum.{u3, u2} l m) α (fun (a : Sum.{u3, u2} l m) (b : Sum.{u3, u2} l m) => Sum.instDecidableEqSum.{u3, u2} l m (fun (a : l) (b : l) => _inst_1 a b) (fun (a : m) (b : m) => _inst_2 a b) a b) _inst_3 _inst_4)))
 Case conversion may be inaccurate. Consider using '#align matrix.from_blocks_one Matrix.fromBlocks_oneₓ'. -/
 @[simp]
-theorem fromBlocks_one : fromBlocks (1 : Matrix l l α) 0 0 (1 : Matrix m m α) = 1 :=
-  by
-  ext (i j)
+theorem fromBlocks_one : fromBlocks (1 : Matrix l l α) 0 0 (1 : Matrix m m α) = 1 := by ext (i j);
   rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> simp [one_apply]
 #align matrix.from_blocks_one Matrix.fromBlocks_one
 
@@ -593,10 +581,7 @@ but is expected to have type
   forall {m : Type.{u4}} {n : Type.{u3}} {o : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} o] [_inst_2 : Zero.{u2} α] (M : o -> (Matrix.{u4, u3, u2} m n α)) (ik : Prod.{u4, u1} m o) (jk : Prod.{u3, u1} n o), Eq.{succ u2} α (Matrix.blockDiagonal.{u4, u3, u1, u2} m n o α (fun (a : o) (b : o) => _inst_1 a b) _inst_2 M ik jk) (ite.{succ u2} α (Eq.{succ u1} o (Prod.snd.{u4, u1} m o ik) (Prod.snd.{u3, u1} n o jk)) (_inst_1 (Prod.snd.{u4, u1} m o ik) (Prod.snd.{u3, u1} n o jk)) (M (Prod.snd.{u4, u1} m o ik) (Prod.fst.{u4, u1} m o ik) (Prod.fst.{u3, u1} n o jk)) (OfNat.ofNat.{u2} α 0 (Zero.toOfNat0.{u2} α _inst_2)))
 Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal_apply Matrix.blockDiagonal_applyₓ'. -/
 theorem blockDiagonal_apply (M : o → Matrix m n α) (ik jk) :
-    blockDiagonal M ik jk = if ik.2 = jk.2 then M ik.2 ik.1 jk.1 else 0 :=
-  by
-  cases ik
-  cases jk
+    blockDiagonal M ik jk = if ik.2 = jk.2 then M ik.2 ik.1 jk.1 else 0 := by cases ik; cases jk;
   rfl
 #align matrix.block_diagonal_apply Matrix.blockDiagonal_apply
 
@@ -675,9 +660,7 @@ but is expected to have type
   forall {m : Type.{u4}} {n : Type.{u3}} {o : Type.{u2}} {α : Type.{u1}} [_inst_1 : DecidableEq.{succ u2} o] [_inst_2 : Zero.{u1} α], Eq.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1)} (Matrix.{max u2 u4, max u2 u3, u1} (Prod.{u4, u2} m o) (Prod.{u3, u2} n o) α) (Matrix.blockDiagonal.{u4, u3, u2, u1} m n o α (fun (a : o) (b : o) => _inst_1 a b) _inst_2 (OfNat.ofNat.{max (max (max u4 u3) u2) u1} (o -> (Matrix.{u4, u3, u1} m n α)) 0 (Zero.toOfNat0.{max (max (max u4 u3) u2) u1} (o -> (Matrix.{u4, u3, u1} m n α)) (Pi.instZero.{u2, max (max u4 u3) u1} o (fun (a._@.Mathlib.Data.Matrix.Block._hyg.4903 : o) => Matrix.{u4, u3, u1} m n α) (fun (i : o) => Matrix.zero.{u1, u4, u3} m n α _inst_2))))) (OfNat.ofNat.{max (max (max u4 u3) u2) u1} (Matrix.{max u2 u4, max u2 u3, u1} (Prod.{u4, u2} m o) (Prod.{u3, u2} n o) α) 0 (Zero.toOfNat0.{max (max (max u4 u3) u2) u1} (Matrix.{max u2 u4, max u2 u3, u1} (Prod.{u4, u2} m o) (Prod.{u3, u2} n o) α) (Matrix.zero.{u1, max u4 u2, max u3 u2} (Prod.{u4, u2} m o) (Prod.{u3, u2} n o) α _inst_2)))
 Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal_zero Matrix.blockDiagonal_zeroₓ'. -/
 @[simp]
-theorem blockDiagonal_zero : blockDiagonal (0 : o → Matrix m n α) = 0 :=
-  by
-  ext
+theorem blockDiagonal_zero : blockDiagonal (0 : o → Matrix m n α) = 0 := by ext;
   simp [block_diagonal_apply]
 #align matrix.block_diagonal_zero Matrix.blockDiagonal_zero
 
@@ -826,11 +809,8 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal_smul Matrix.blockDiagonal_smulₓ'. -/
 @[simp]
 theorem blockDiagonal_smul {R : Type _} [Monoid R] [AddMonoid α] [DistribMulAction R α] (x : R)
-    (M : o → Matrix m n α) : blockDiagonal (x • M) = x • blockDiagonal M :=
-  by
-  ext
-  simp only [block_diagonal_apply, Pi.smul_apply]
-  split_ifs <;> simp
+    (M : o → Matrix m n α) : blockDiagonal (x • M) = x • blockDiagonal M := by ext;
+  simp only [block_diagonal_apply, Pi.smul_apply]; split_ifs <;> simp
 #align matrix.block_diagonal_smul Matrix.blockDiagonal_smul
 
 end BlockDiagonal
@@ -1105,10 +1085,7 @@ Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal'
 theorem blockDiagonal'_apply (M : ∀ i, Matrix (m' i) (n' i) α) (ik jk) :
     blockDiagonal' M ik jk =
       if h : ik.1 = jk.1 then M ik.1 ik.2 (cast (congr_arg n' h.symm) jk.2) else 0 :=
-  by
-  cases ik
-  cases jk
-  rfl
+  by cases ik; cases jk; rfl
 #align matrix.block_diagonal'_apply Matrix.blockDiagonal'_apply
 
 /- warning: matrix.block_diagonal'_apply_eq -> Matrix.blockDiagonal'_apply_eq is a dubious translation:
@@ -1184,9 +1161,7 @@ but is expected to have type
   forall {o : Type.{u4}} {m' : o -> Type.{u3}} {n' : o -> Type.{u2}} {α : Type.{u1}} [_inst_1 : DecidableEq.{succ u4} o] [_inst_2 : Zero.{u1} α], Eq.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1)} (Matrix.{max u3 u4, max u2 u4, u1} (Sigma.{u4, u3} o (fun (i : o) => m' i)) (Sigma.{u4, u2} o (fun (i : o) => n' i)) α) (Matrix.blockDiagonal'.{u4, u3, u2, u1} o (fun (i : o) => m' i) (fun (i : o) => n' i) α (fun (a : o) (b : o) => _inst_1 a b) _inst_2 (OfNat.ofNat.{max (max (max u4 u3) u2) u1} (forall (i : o), Matrix.{u3, u2, u1} (m' i) (n' i) α) 0 (Zero.toOfNat0.{max (max (max u4 u3) u2) u1} (forall (i : o), Matrix.{u3, u2, u1} (m' i) (n' i) α) (Pi.instZero.{u4, max (max u3 u2) u1} o (fun (i : o) => Matrix.{u3, u2, u1} (m' i) (n' i) α) (fun (i : o) => Matrix.zero.{u1, u3, u2} (m' i) (n' i) α _inst_2))))) (OfNat.ofNat.{max (max (max u4 u3) u2) u1} (Matrix.{max u3 u4, max u2 u4, u1} (Sigma.{u4, u3} o (fun (i : o) => m' i)) (Sigma.{u4, u2} o (fun (i : o) => n' i)) α) 0 (Zero.toOfNat0.{max (max (max u4 u3) u2) u1} (Matrix.{max u3 u4, max u2 u4, u1} (Sigma.{u4, u3} o (fun (i : o) => m' i)) (Sigma.{u4, u2} o (fun (i : o) => n' i)) α) (Matrix.zero.{u1, max u4 u3, max u4 u2} (Sigma.{u4, u3} o (fun (i : o) => m' i)) (Sigma.{u4, u2} o (fun (i : o) => n' i)) α _inst_2)))
 Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal'_zero Matrix.blockDiagonal'_zeroₓ'. -/
 @[simp]
-theorem blockDiagonal'_zero : blockDiagonal' (0 : ∀ i, Matrix (m' i) (n' i) α) = 0 :=
-  by
-  ext
+theorem blockDiagonal'_zero : blockDiagonal' (0 : ∀ i, Matrix (m' i) (n' i) α) = 0 := by ext;
   simp [block_diagonal'_apply]
 #align matrix.block_diagonal'_zero Matrix.blockDiagonal'_zero
 
@@ -1294,7 +1269,7 @@ theorem blockDiagonal'_mul [NonUnitalNonAssocSemiring α] [∀ i, Fintype (n' i)
   simp only [block_diagonal'_apply, mul_apply, ← Finset.univ_sigma_univ, Finset.sum_sigma]
   rw [Fintype.sum_eq_single k]
   · split_ifs <;> simp
-  · intro j' hj'
+  · intro j' hj';
     exact Finset.sum_eq_zero fun _ _ => by rw [dif_neg hj'.symm, MulZeroClass.zero_mul]
 #align matrix.block_diagonal'_mul Matrix.blockDiagonal'_mul
 
@@ -1339,11 +1314,8 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal'_smul Matrix.blockDiagonal'_smulₓ'. -/
 @[simp]
 theorem blockDiagonal'_smul {R : Type _} [Semiring R] [AddCommMonoid α] [Module R α] (x : R)
-    (M : ∀ i, Matrix (m' i) (n' i) α) : blockDiagonal' (x • M) = x • blockDiagonal' M :=
-  by
-  ext
-  simp only [block_diagonal'_apply, Pi.smul_apply]
-  split_ifs <;> simp
+    (M : ∀ i, Matrix (m' i) (n' i) α) : blockDiagonal' (x • M) = x • blockDiagonal' M := by ext;
+  simp only [block_diagonal'_apply, Pi.smul_apply]; split_ifs <;> simp
 #align matrix.block_diagonal'_smul Matrix.blockDiagonal'_smul
 
 end BlockDiagonal'
@@ -1434,8 +1406,7 @@ theorem blockDiag'_diagonal [DecidableEq o] [∀ i, DecidableEq (m' i)] (d : (Σ
     obtain rfl | hij := Decidable.eq_or_ne i j
     · rw [block_diag'_apply, diagonal_apply_eq, diagonal_apply_eq]
     · rw [block_diag'_apply, diagonal_apply_ne _ hij, diagonal_apply_ne _ (mt (fun h => _) hij)]
-      cases h
-      rfl
+      cases h; rfl
 #align matrix.block_diag'_diagonal Matrix.blockDiag'_diagonal
 
 /- warning: matrix.block_diag'_block_diagonal' -> Matrix.blockDiag'_blockDiagonal' is a dubious translation:
Diff
@@ -417,10 +417,7 @@ theorem fromBlocks_add [Add α] (A : Matrix n l α) (B : Matrix n m α) (C : Mat
 #align matrix.from_blocks_add Matrix.fromBlocks_add
 
 /- warning: matrix.from_blocks_multiply -> Matrix.fromBlocks_multiply is a dubious translation:
-lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align matrix.from_blocks_multiply Matrix.fromBlocks_multiplyₓ'. -/
 theorem fromBlocks_multiply [Fintype l] [Fintype m] [NonUnitalNonAssocSemiring α] (A : Matrix n l α)
     (B : Matrix n m α) (C : Matrix o l α) (D : Matrix o m α) (A' : Matrix l p α) (B' : Matrix l q α)
@@ -1326,10 +1323,7 @@ def blockDiagonal'RingHom [∀ i, DecidableEq (m' i)] [Fintype o] [∀ i, Fintyp
 end
 
 /- warning: matrix.block_diagonal'_pow -> Matrix.blockDiagonal'_pow is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal'_pow Matrix.blockDiagonal'_powₓ'. -/
 @[simp]
 theorem blockDiagonal'_pow [∀ i, DecidableEq (m' i)] [Fintype o] [∀ i, Fintype (m' i)] [Semiring α]
Diff
@@ -341,7 +341,7 @@ def toSquareBlockProp (M : Matrix m m α) (p : m → Prop) : Matrix { a // p a }
 lean 3 declaration is
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 but is expected to have type
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+  forall {m : Type.{u2}} {α : Type.{u1}} (M : Matrix.{u2, u2, u1} m m α) (p : m -> Prop), Eq.{max (succ u2) (succ u1)} (Matrix.{u2, u2, u1} (Subtype.{succ u2} m (fun (a : m) => p a)) (Subtype.{succ u2} m (fun (a : m) => p a)) α) (Matrix.toSquareBlockProp.{u2, u1} m α M p) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u2) (succ u1)} (Equiv.{max (succ u1) (succ u2), max (succ u1) (succ u2)} ((Subtype.{succ u2} m (fun (a : m) => p a)) -> (Subtype.{succ u2} m (fun (a : m) => p a)) -> α) (Matrix.{u2, u2, u1} (Subtype.{succ u2} m (fun (a : m) => p a)) (Subtype.{succ u2} m (fun (a : m) => p a)) α)) ((Subtype.{succ u2} m (fun (a : m) => p a)) -> (Subtype.{succ u2} m (fun (a : m) => p a)) -> α) (fun (a : (Subtype.{succ u2} m (fun (a : m) => p a)) -> (Subtype.{succ u2} m (fun (a : m) => p a)) -> α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : (Subtype.{succ u2} m (fun (a : m) => p a)) -> (Subtype.{succ u2} m (fun (a : m) => p a)) -> α) => Matrix.{u2, u2, u1} (Subtype.{succ u2} m (fun (a : m) => p a)) (Subtype.{succ u2} m (fun (a : m) => p a)) α) a) (Equiv.instFunLikeEquiv.{max (succ u2) (succ u1), max (succ u2) (succ u1)} ((Subtype.{succ u2} m (fun (a : m) => p a)) -> (Subtype.{succ u2} m (fun (a : m) => p a)) -> α) (Matrix.{u2, u2, u1} (Subtype.{succ u2} m (fun (a : m) => p a)) (Subtype.{succ u2} m (fun (a : m) => p a)) α)) (Matrix.of.{u1, u2, u2} (Subtype.{succ u2} m (fun (a : m) => p a)) (Subtype.{succ u2} m (fun (a : m) => p a)) α) (fun (i : Subtype.{succ u2} m (fun (a : m) => p a)) (j : Subtype.{succ u2} m (fun (a : m) => p a)) => M (Subtype.val.{succ u2} m (fun (a : m) => p a) i) (Subtype.val.{succ u2} m (fun (a : m) => p a) j)))
 Case conversion may be inaccurate. Consider using '#align matrix.to_square_block_prop_def Matrix.toSquareBlockProp_defₓ'. -/
 theorem toSquareBlockProp_def (M : Matrix m m α) (p : m → Prop) :
     toSquareBlockProp M p = fun i j => M ↑i ↑j :=
@@ -361,7 +361,7 @@ def toSquareBlock (M : Matrix m m α) (b : m → β) (k : β) :
 lean 3 declaration is
   forall {m : Type.{u1}} {α : Type.{u2}} {β : Type.{u3}} (M : Matrix.{u1, u1, u2} m m α) (b : m -> β) (k : β), Eq.{succ (max u1 u2)} (Matrix.{u1, u1, u2} (Subtype.{succ u1} m (fun (a : m) => Eq.{succ u3} β (b a) k)) (Subtype.{succ u1} m (fun (a : m) => Eq.{succ u3} β (b a) k)) α) (Matrix.toSquareBlock.{u1, u2, u3} m α β M b k) (fun (i : Subtype.{succ u1} m (fun (a : m) => Eq.{succ u3} β (b a) k)) (j : Subtype.{succ u1} m (fun (a : m) => Eq.{succ u3} β (b a) k)) => M ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Subtype.{succ u1} m (fun (a : m) => Eq.{succ u3} β (b a) k)) m (HasLiftT.mk.{succ u1, succ u1} (Subtype.{succ u1} m (fun (a : m) => Eq.{succ u3} β (b a) k)) m (CoeTCₓ.coe.{succ u1, succ u1} (Subtype.{succ u1} m (fun (a : m) => Eq.{succ u3} β (b a) k)) m (coeBase.{succ u1, succ u1} (Subtype.{succ u1} m (fun (a : m) => Eq.{succ u3} β (b a) k)) m (coeSubtype.{succ u1} m (fun (a : m) => Eq.{succ u3} β (b a) k))))) i) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Subtype.{succ u1} m (fun (a : m) => Eq.{succ u3} β (b a) k)) m (HasLiftT.mk.{succ u1, succ u1} (Subtype.{succ u1} m (fun (a : m) => Eq.{succ u3} β (b a) k)) m (CoeTCₓ.coe.{succ u1, succ u1} (Subtype.{succ u1} m (fun (a : m) => Eq.{succ u3} β (b a) k)) m (coeBase.{succ u1, succ u1} (Subtype.{succ u1} m (fun (a : m) => Eq.{succ u3} β (b a) k)) m (coeSubtype.{succ u1} m (fun (a : m) => Eq.{succ u3} β (b a) k))))) j))
 but is expected to have type
-  forall {m : Type.{u3}} {α : Type.{u2}} {β : Type.{u1}} (M : Matrix.{u3, u3, u2} m m α) (b : m -> β) (k : β), Eq.{max (succ u3) (succ u2)} (Matrix.{u3, u3, u2} (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) α) (Matrix.toSquareBlock.{u3, u2, u1} m α β M b k) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (Equiv.{max (succ u2) (succ u3), max (succ u2) (succ u3)} ((Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) -> (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) -> α) (Matrix.{u3, u3, u2} (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) α)) ((Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) -> (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) -> α) (fun (a : (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) -> (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) -> α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) -> (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) -> α) => Matrix.{u3, u3, u2} (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) α) a) (Equiv.instFunLikeEquiv.{max (succ u3) (succ u2), max (succ u3) (succ u2)} ((Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) -> (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) -> α) (Matrix.{u3, u3, u2} (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) α)) (Matrix.of.{u2, u3, u3} (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) α) (fun (i : Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) (j : Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) => M (Subtype.val.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k) i) (Subtype.val.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k) j)))
+  forall {m : Type.{u3}} {α : Type.{u2}} {β : Type.{u1}} (M : Matrix.{u3, u3, u2} m m α) (b : m -> β) (k : β), Eq.{max (succ u3) (succ u2)} (Matrix.{u3, u3, u2} (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) α) (Matrix.toSquareBlock.{u3, u2, u1} m α β M b k) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (Equiv.{max (succ u2) (succ u3), max (succ u2) (succ u3)} ((Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) -> (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) -> α) (Matrix.{u3, u3, u2} (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) α)) ((Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) -> (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) -> α) (fun (a : (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) -> (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) -> α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) -> (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) -> α) => Matrix.{u3, u3, u2} (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) α) a) (Equiv.instFunLikeEquiv.{max (succ u3) (succ u2), max (succ u3) (succ u2)} ((Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) -> (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) -> α) (Matrix.{u3, u3, u2} (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) α)) (Matrix.of.{u2, u3, u3} (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) (Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) α) (fun (i : Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) (j : Subtype.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k)) => M (Subtype.val.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k) i) (Subtype.val.{succ u3} m (fun (a : m) => Eq.{succ u1} β (b a) k) j)))
 Case conversion may be inaccurate. Consider using '#align matrix.to_square_block_def Matrix.toSquareBlock_defₓ'. -/
 theorem toSquareBlock_def (M : Matrix m m α) (b : m → β) (k : β) :
     toSquareBlock M b k = fun i j => M ↑i ↑j :=
Diff
@@ -488,7 +488,7 @@ theorem toBlock_diagonal_self (d : m → α) (p : m → Prop) :
 
 /- warning: matrix.to_block_diagonal_disjoint -> Matrix.toBlock_diagonal_disjoint is a dubious translation:
 lean 3 declaration is
-  forall {m : Type.{u1}} {α : Type.{u2}} [_inst_2 : DecidableEq.{succ u1} m] [_inst_3 : Zero.{u2} α] (d : m -> α) {p : m -> Prop} {q : m -> Prop}, (Disjoint.{u1} (m -> Prop) (Pi.partialOrder.{u1, 0} m (fun (ᾰ : m) => Prop) (fun (i : m) => Prop.partialOrder)) (Pi.orderBot.{u1, 0} m (fun (ᾰ : m) => Prop) (fun (i : m) => Preorder.toLE.{0} ((fun (i : m) => (fun (i : m) => (fun (ᾰ : m) => Prop) i) i) i) ((fun (i : m) => PartialOrder.toPreorder.{0} ((fun (ᾰ : m) => Prop) i) ((fun (i : m) => Prop.partialOrder) i)) i)) (fun (i : m) => BoundedOrder.toOrderBot.{0} Prop (Preorder.toLE.{0} ((fun (i : m) => (fun (i : m) => (fun (ᾰ : m) => Prop) i) i) i) ((fun (i : m) => PartialOrder.toPreorder.{0} ((fun (ᾰ : m) => Prop) i) ((fun (i : m) => Prop.partialOrder) i)) i)) Prop.boundedOrder)) p q) -> (Eq.{succ (max u1 u2)} (Matrix.{u1, u1, u2} (Subtype.{succ u1} m (fun (a : m) => p a)) (Subtype.{succ u1} m (fun (a : m) => q a)) α) (Matrix.toBlock.{u1, u1, u2} m m α (Matrix.diagonal.{u2, u1} m α (fun (a : m) (b : m) => _inst_2 a b) _inst_3 d) p q) (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} (Subtype.{succ u1} m (fun (a : m) => p a)) (Subtype.{succ u1} m (fun (a : m) => q a)) α) 0 (OfNat.mk.{max u1 u2} (Matrix.{u1, u1, u2} (Subtype.{succ u1} m (fun (a : m) => p a)) (Subtype.{succ u1} m (fun (a : m) => q a)) α) 0 (Zero.zero.{max u1 u2} (Matrix.{u1, u1, u2} (Subtype.{succ u1} m (fun (a : m) => p a)) (Subtype.{succ u1} m (fun (a : m) => q a)) α) (Matrix.hasZero.{u2, u1, u1} (Subtype.{succ u1} m (fun (a : m) => p a)) (Subtype.{succ u1} m (fun (a : m) => q a)) α _inst_3)))))
+  forall {m : Type.{u1}} {α : Type.{u2}} [_inst_2 : DecidableEq.{succ u1} m] [_inst_3 : Zero.{u2} α] (d : m -> α) {p : m -> Prop} {q : m -> Prop}, (Disjoint.{u1} (m -> Prop) (Pi.partialOrder.{u1, 0} m (fun (ᾰ : m) => Prop) (fun (i : m) => Prop.partialOrder)) (Pi.orderBot.{u1, 0} m (fun (ᾰ : m) => Prop) (fun (i : m) => Preorder.toHasLe.{0} ((fun (i : m) => (fun (i : m) => (fun (ᾰ : m) => Prop) i) i) i) ((fun (i : m) => PartialOrder.toPreorder.{0} ((fun (ᾰ : m) => Prop) i) ((fun (i : m) => Prop.partialOrder) i)) i)) (fun (i : m) => BoundedOrder.toOrderBot.{0} Prop (Preorder.toHasLe.{0} ((fun (i : m) => (fun (i : m) => (fun (ᾰ : m) => Prop) i) i) i) ((fun (i : m) => PartialOrder.toPreorder.{0} ((fun (ᾰ : m) => Prop) i) ((fun (i : m) => Prop.partialOrder) i)) i)) Prop.boundedOrder)) p q) -> (Eq.{succ (max u1 u2)} (Matrix.{u1, u1, u2} (Subtype.{succ u1} m (fun (a : m) => p a)) (Subtype.{succ u1} m (fun (a : m) => q a)) α) (Matrix.toBlock.{u1, u1, u2} m m α (Matrix.diagonal.{u2, u1} m α (fun (a : m) (b : m) => _inst_2 a b) _inst_3 d) p q) (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} (Subtype.{succ u1} m (fun (a : m) => p a)) (Subtype.{succ u1} m (fun (a : m) => q a)) α) 0 (OfNat.mk.{max u1 u2} (Matrix.{u1, u1, u2} (Subtype.{succ u1} m (fun (a : m) => p a)) (Subtype.{succ u1} m (fun (a : m) => q a)) α) 0 (Zero.zero.{max u1 u2} (Matrix.{u1, u1, u2} (Subtype.{succ u1} m (fun (a : m) => p a)) (Subtype.{succ u1} m (fun (a : m) => q a)) α) (Matrix.hasZero.{u2, u1, u1} (Subtype.{succ u1} m (fun (a : m) => p a)) (Subtype.{succ u1} m (fun (a : m) => q a)) α _inst_3)))))
 but is expected to have type
   forall {m : Type.{u2}} {α : Type.{u1}} [_inst_2 : DecidableEq.{succ u2} m] [_inst_3 : Zero.{u1} α] (d : m -> α) {p : m -> Prop} {q : m -> Prop}, (Disjoint.{u2} (m -> Prop) (Pi.partialOrder.{u2, 0} m (fun (ᾰ : m) => Prop) (fun (i : m) => Prop.partialOrder)) (Pi.orderBot.{u2, 0} m (fun (ᾰ : m) => Prop) (fun (i : m) => Preorder.toLE.{0} ((fun (i : m) => (fun (i : m) => Prop) i) i) ((fun (i : m) => PartialOrder.toPreorder.{0} ((fun (ᾰ : m) => Prop) i) ((fun (i : m) => Prop.partialOrder) i)) i)) (fun (i : m) => BoundedOrder.toOrderBot.{0} Prop Prop.le Prop.boundedOrder)) p q) -> (Eq.{max (succ u2) (succ u1)} (Matrix.{u2, u2, u1} (Subtype.{succ u2} m (fun (a : m) => p a)) (Subtype.{succ u2} m (fun (a : m) => q a)) α) (Matrix.toBlock.{u2, u2, u1} m m α (Matrix.diagonal.{u1, u2} m α (fun (a : m) (b : m) => _inst_2 a b) _inst_3 d) p q) (OfNat.ofNat.{max u2 u1} (Matrix.{u2, u2, u1} (Subtype.{succ u2} m (fun (a : m) => p a)) (Subtype.{succ u2} m (fun (a : m) => q a)) α) 0 (Zero.toOfNat0.{max u2 u1} (Matrix.{u2, u2, u1} (Subtype.{succ u2} m (fun (a : m) => p a)) (Subtype.{succ u2} m (fun (a : m) => q a)) α) (Matrix.zero.{u1, u2, u2} (Subtype.{succ u2} m (fun (a : m) => p a)) (Subtype.{succ u2} m (fun (a : m) => q a)) α _inst_3))))
 Case conversion may be inaccurate. Consider using '#align matrix.to_block_diagonal_disjoint Matrix.toBlock_diagonal_disjointₓ'. -/
@@ -544,7 +544,7 @@ theorem toBlock_one_self (p : m → Prop) : Matrix.toBlock (1 : Matrix m m α) p
 
 /- warning: matrix.to_block_one_disjoint -> Matrix.toBlock_one_disjoint is a dubious translation:
 lean 3 declaration is
-  forall {m : Type.{u1}} {α : Type.{u2}} [_inst_2 : DecidableEq.{succ u1} m] [_inst_3 : Zero.{u2} α] [_inst_4 : One.{u2} α] {p : m -> Prop} {q : m -> Prop}, (Disjoint.{u1} (m -> Prop) (Pi.partialOrder.{u1, 0} m (fun (ᾰ : m) => Prop) (fun (i : m) => Prop.partialOrder)) (Pi.orderBot.{u1, 0} m (fun (ᾰ : m) => Prop) (fun (i : m) => Preorder.toLE.{0} ((fun (i : m) => (fun (i : m) => (fun (ᾰ : m) => Prop) i) i) i) ((fun (i : m) => PartialOrder.toPreorder.{0} ((fun (ᾰ : m) => Prop) i) ((fun (i : m) => Prop.partialOrder) i)) i)) (fun (i : m) => BoundedOrder.toOrderBot.{0} Prop (Preorder.toLE.{0} ((fun (i : m) => (fun (i : m) => (fun (ᾰ : m) => Prop) i) i) i) ((fun (i : m) => PartialOrder.toPreorder.{0} ((fun (ᾰ : m) => Prop) i) ((fun (i : m) => Prop.partialOrder) i)) i)) Prop.boundedOrder)) p q) -> (Eq.{succ (max u1 u2)} (Matrix.{u1, u1, u2} (Subtype.{succ u1} m (fun (a : m) => p a)) (Subtype.{succ u1} m (fun (a : m) => q a)) α) (Matrix.toBlock.{u1, u1, u2} m m α (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} m m α) 1 (OfNat.mk.{max u1 u2} (Matrix.{u1, u1, u2} m m α) 1 (One.one.{max u1 u2} (Matrix.{u1, u1, u2} m m α) (Matrix.hasOne.{u2, u1} m α (fun (a : m) (b : m) => _inst_2 a b) _inst_3 _inst_4)))) p q) (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} (Subtype.{succ u1} m (fun (a : m) => p a)) (Subtype.{succ u1} m (fun (a : m) => q a)) α) 0 (OfNat.mk.{max u1 u2} (Matrix.{u1, u1, u2} (Subtype.{succ u1} m (fun (a : m) => p a)) (Subtype.{succ u1} m (fun (a : m) => q a)) α) 0 (Zero.zero.{max u1 u2} (Matrix.{u1, u1, u2} (Subtype.{succ u1} m (fun (a : m) => p a)) (Subtype.{succ u1} m (fun (a : m) => q a)) α) (Matrix.hasZero.{u2, u1, u1} (Subtype.{succ u1} m (fun (a : m) => p a)) (Subtype.{succ u1} m (fun (a : m) => q a)) α _inst_3)))))
+  forall {m : Type.{u1}} {α : Type.{u2}} [_inst_2 : DecidableEq.{succ u1} m] [_inst_3 : Zero.{u2} α] [_inst_4 : One.{u2} α] {p : m -> Prop} {q : m -> Prop}, (Disjoint.{u1} (m -> Prop) (Pi.partialOrder.{u1, 0} m (fun (ᾰ : m) => Prop) (fun (i : m) => Prop.partialOrder)) (Pi.orderBot.{u1, 0} m (fun (ᾰ : m) => Prop) (fun (i : m) => Preorder.toHasLe.{0} ((fun (i : m) => (fun (i : m) => (fun (ᾰ : m) => Prop) i) i) i) ((fun (i : m) => PartialOrder.toPreorder.{0} ((fun (ᾰ : m) => Prop) i) ((fun (i : m) => Prop.partialOrder) i)) i)) (fun (i : m) => BoundedOrder.toOrderBot.{0} Prop (Preorder.toHasLe.{0} ((fun (i : m) => (fun (i : m) => (fun (ᾰ : m) => Prop) i) i) i) ((fun (i : m) => PartialOrder.toPreorder.{0} ((fun (ᾰ : m) => Prop) i) ((fun (i : m) => Prop.partialOrder) i)) i)) Prop.boundedOrder)) p q) -> (Eq.{succ (max u1 u2)} (Matrix.{u1, u1, u2} (Subtype.{succ u1} m (fun (a : m) => p a)) (Subtype.{succ u1} m (fun (a : m) => q a)) α) (Matrix.toBlock.{u1, u1, u2} m m α (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} m m α) 1 (OfNat.mk.{max u1 u2} (Matrix.{u1, u1, u2} m m α) 1 (One.one.{max u1 u2} (Matrix.{u1, u1, u2} m m α) (Matrix.hasOne.{u2, u1} m α (fun (a : m) (b : m) => _inst_2 a b) _inst_3 _inst_4)))) p q) (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} (Subtype.{succ u1} m (fun (a : m) => p a)) (Subtype.{succ u1} m (fun (a : m) => q a)) α) 0 (OfNat.mk.{max u1 u2} (Matrix.{u1, u1, u2} (Subtype.{succ u1} m (fun (a : m) => p a)) (Subtype.{succ u1} m (fun (a : m) => q a)) α) 0 (Zero.zero.{max u1 u2} (Matrix.{u1, u1, u2} (Subtype.{succ u1} m (fun (a : m) => p a)) (Subtype.{succ u1} m (fun (a : m) => q a)) α) (Matrix.hasZero.{u2, u1, u1} (Subtype.{succ u1} m (fun (a : m) => p a)) (Subtype.{succ u1} m (fun (a : m) => q a)) α _inst_3)))))
 but is expected to have type
   forall {m : Type.{u2}} {α : Type.{u1}} [_inst_2 : DecidableEq.{succ u2} m] [_inst_3 : Zero.{u1} α] [_inst_4 : One.{u1} α] {p : m -> Prop} {q : m -> Prop}, (Disjoint.{u2} (m -> Prop) (Pi.partialOrder.{u2, 0} m (fun (ᾰ : m) => Prop) (fun (i : m) => Prop.partialOrder)) (Pi.orderBot.{u2, 0} m (fun (ᾰ : m) => Prop) (fun (i : m) => Preorder.toLE.{0} ((fun (i : m) => (fun (i : m) => Prop) i) i) ((fun (i : m) => PartialOrder.toPreorder.{0} ((fun (ᾰ : m) => Prop) i) ((fun (i : m) => Prop.partialOrder) i)) i)) (fun (i : m) => BoundedOrder.toOrderBot.{0} Prop Prop.le Prop.boundedOrder)) p q) -> (Eq.{max (succ u2) (succ u1)} (Matrix.{u2, u2, u1} (Subtype.{succ u2} m (fun (a : m) => p a)) (Subtype.{succ u2} m (fun (a : m) => q a)) α) (Matrix.toBlock.{u2, u2, u1} m m α (OfNat.ofNat.{max u2 u1} (Matrix.{u2, u2, u1} m m α) 1 (One.toOfNat1.{max u2 u1} (Matrix.{u2, u2, u1} m m α) (Matrix.one.{u1, u2} m α (fun (a : m) (b : m) => _inst_2 a b) _inst_3 _inst_4))) p q) (OfNat.ofNat.{max u2 u1} (Matrix.{u2, u2, u1} (Subtype.{succ u2} m (fun (a : m) => p a)) (Subtype.{succ u2} m (fun (a : m) => q a)) α) 0 (Zero.toOfNat0.{max u2 u1} (Matrix.{u2, u2, u1} (Subtype.{succ u2} m (fun (a : m) => p a)) (Subtype.{succ u2} m (fun (a : m) => q a)) α) (Matrix.zero.{u1, u2, u2} (Subtype.{succ u2} m (fun (a : m) => p a)) (Subtype.{succ u2} m (fun (a : m) => q a)) α _inst_3))))
 Case conversion may be inaccurate. Consider using '#align matrix.to_block_one_disjoint Matrix.toBlock_one_disjointₓ'. -/
Diff
@@ -390,6 +390,12 @@ theorem fromBlocks_neg [Neg R] (A : Matrix n l R) (B : Matrix n m R) (C : Matrix
   cases i <;> cases j <;> simp [from_blocks]
 #align matrix.from_blocks_neg Matrix.fromBlocks_neg
 
+/- warning: matrix.from_blocks_zero -> Matrix.fromBlocks_zero is a dubious translation:
+lean 3 declaration is
+  forall {l : Type.{u1}} {m : Type.{u2}} {n : Type.{u3}} {o : Type.{u4}} {α : Type.{u5}} [_inst_1 : Zero.{u5} α], Eq.{succ (max (max u3 u4) (max u1 u2) u5)} (Matrix.{max u3 u4, max u1 u2, u5} (Sum.{u3, u4} n o) (Sum.{u1, u2} l m) α) (Matrix.fromBlocks.{u1, u2, u3, u4, u5} l m n o α (OfNat.ofNat.{max u3 u1 u5} (Matrix.{u3, u1, u5} n l α) 0 (OfNat.mk.{max u3 u1 u5} (Matrix.{u3, u1, u5} n l α) 0 (Zero.zero.{max u3 u1 u5} (Matrix.{u3, u1, u5} n l α) (Matrix.hasZero.{u5, u3, u1} n l α _inst_1)))) (OfNat.ofNat.{max u3 u2 u5} (Matrix.{u3, u2, u5} n m α) 0 (OfNat.mk.{max u3 u2 u5} (Matrix.{u3, u2, u5} n m α) 0 (Zero.zero.{max u3 u2 u5} (Matrix.{u3, u2, u5} n m α) (Matrix.hasZero.{u5, u3, u2} n m α _inst_1)))) (OfNat.ofNat.{max u4 u1 u5} (Matrix.{u4, u1, u5} o l α) 0 (OfNat.mk.{max u4 u1 u5} (Matrix.{u4, u1, u5} o l α) 0 (Zero.zero.{max u4 u1 u5} (Matrix.{u4, u1, u5} o l α) (Matrix.hasZero.{u5, u4, u1} o l α _inst_1)))) (OfNat.ofNat.{max u4 u2 u5} (Matrix.{u4, u2, u5} o m α) 0 (OfNat.mk.{max u4 u2 u5} (Matrix.{u4, u2, u5} o m α) 0 (Zero.zero.{max u4 u2 u5} (Matrix.{u4, u2, u5} o m α) (Matrix.hasZero.{u5, u4, u2} o m α _inst_1))))) (OfNat.ofNat.{max (max u3 u4) (max u1 u2) u5} (Matrix.{max u3 u4, max u1 u2, u5} (Sum.{u3, u4} n o) (Sum.{u1, u2} l m) α) 0 (OfNat.mk.{max (max u3 u4) (max u1 u2) u5} (Matrix.{max u3 u4, max u1 u2, u5} (Sum.{u3, u4} n o) (Sum.{u1, u2} l m) α) 0 (Zero.zero.{max (max u3 u4) (max u1 u2) u5} (Matrix.{max u3 u4, max u1 u2, u5} (Sum.{u3, u4} n o) (Sum.{u1, u2} l m) α) (Matrix.hasZero.{u5, max u3 u4, max u1 u2} (Sum.{u3, u4} n o) (Sum.{u1, u2} l m) α _inst_1))))
+but is expected to have type
+  forall {l : Type.{u4}} {m : Type.{u3}} {n : Type.{u2}} {o : Type.{u1}} {α : Type.{u5}} [_inst_1 : Zero.{u5} α], Eq.{max (max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1)) (succ u5)} (Matrix.{max u1 u2, max u3 u4, u5} (Sum.{u2, u1} n o) (Sum.{u4, u3} l m) α) (Matrix.fromBlocks.{u4, u3, u2, u1, u5} l m n o α (OfNat.ofNat.{max (max u4 u2) u5} (Matrix.{u2, u4, u5} n l α) 0 (Zero.toOfNat0.{max (max u4 u2) u5} (Matrix.{u2, u4, u5} n l α) (Matrix.zero.{u5, u2, u4} n l α _inst_1))) (OfNat.ofNat.{max (max u2 u5) u3} (Matrix.{u2, u3, u5} n m α) 0 (Zero.toOfNat0.{max (max u2 u5) u3} (Matrix.{u2, u3, u5} n m α) (Matrix.zero.{u5, u2, u3} n m α _inst_1))) (OfNat.ofNat.{max (max u4 u5) u1} (Matrix.{u1, u4, u5} o l α) 0 (Zero.toOfNat0.{max (max u4 u5) u1} (Matrix.{u1, u4, u5} o l α) (Matrix.zero.{u5, u1, u4} o l α _inst_1))) (OfNat.ofNat.{max (max u3 u1) u5} (Matrix.{u1, u3, u5} o m α) 0 (Zero.toOfNat0.{max (max u3 u1) u5} (Matrix.{u1, u3, u5} o m α) (Matrix.zero.{u5, u1, u3} o m α _inst_1)))) (OfNat.ofNat.{max (max (max (max u4 u3) u2) u1) u5} (Matrix.{max u1 u2, max u3 u4, u5} (Sum.{u2, u1} n o) (Sum.{u4, u3} l m) α) 0 (Zero.toOfNat0.{max (max (max (max u4 u3) u2) u1) u5} (Matrix.{max u1 u2, max u3 u4, u5} (Sum.{u2, u1} n o) (Sum.{u4, u3} l m) α) (Matrix.zero.{u5, max u2 u1, max u4 u3} (Sum.{u2, u1} n o) (Sum.{u4, u3} l m) α _inst_1)))
+Case conversion may be inaccurate. Consider using '#align matrix.from_blocks_zero Matrix.fromBlocks_zeroₓ'. -/
 @[simp]
 theorem fromBlocks_zero [Zero α] : fromBlocks (0 : Matrix n l α) 0 0 (0 : Matrix o m α) = 0 :=
   by
@@ -669,7 +675,7 @@ theorem blockDiagonal_conjTranspose {α : Type _} [AddMonoid α] [StarAddMonoid
 lean 3 declaration is
   forall {m : Type.{u1}} {n : Type.{u2}} {o : Type.{u3}} {α : Type.{u4}} [_inst_1 : DecidableEq.{succ u3} o] [_inst_2 : Zero.{u4} α], Eq.{succ (max (max u1 u3) (max u2 u3) u4)} (Matrix.{max u1 u3, max u2 u3, u4} (Prod.{u1, u3} m o) (Prod.{u2, u3} n o) α) (Matrix.blockDiagonal.{u1, u2, u3, u4} m n o α (fun (a : o) (b : o) => _inst_1 a b) _inst_2 (OfNat.ofNat.{max u3 u1 u2 u4} (o -> (Matrix.{u1, u2, u4} m n α)) 0 (OfNat.mk.{max u3 u1 u2 u4} (o -> (Matrix.{u1, u2, u4} m n α)) 0 (Zero.zero.{max u3 u1 u2 u4} (o -> (Matrix.{u1, u2, u4} m n α)) (Pi.instZero.{u3, max u1 u2 u4} o (fun (ᾰ : o) => Matrix.{u1, u2, u4} m n α) (fun (i : o) => Matrix.hasZero.{u4, u1, u2} m n α _inst_2)))))) (OfNat.ofNat.{max (max u1 u3) (max u2 u3) u4} (Matrix.{max u1 u3, max u2 u3, u4} (Prod.{u1, u3} m o) (Prod.{u2, u3} n o) α) 0 (OfNat.mk.{max (max u1 u3) (max u2 u3) u4} (Matrix.{max u1 u3, max u2 u3, u4} (Prod.{u1, u3} m o) (Prod.{u2, u3} n o) α) 0 (Zero.zero.{max (max u1 u3) (max u2 u3) u4} (Matrix.{max u1 u3, max u2 u3, u4} (Prod.{u1, u3} m o) (Prod.{u2, u3} n o) α) (Matrix.hasZero.{u4, max u1 u3, max u2 u3} (Prod.{u1, u3} m o) (Prod.{u2, u3} n o) α _inst_2))))
 but is expected to have type
-  forall {m : Type.{u4}} {n : Type.{u3}} {o : Type.{u2}} {α : Type.{u1}} [_inst_1 : DecidableEq.{succ u2} o] [_inst_2 : Zero.{u1} α], Eq.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1)} (Matrix.{max u2 u4, max u2 u3, u1} (Prod.{u4, u2} m o) (Prod.{u3, u2} n o) α) (Matrix.blockDiagonal.{u4, u3, u2, u1} m n o α (fun (a : o) (b : o) => _inst_1 a b) _inst_2 (OfNat.ofNat.{max (max (max u4 u3) u2) u1} (o -> (Matrix.{u4, u3, u1} m n α)) 0 (Zero.toOfNat0.{max (max (max u4 u3) u2) u1} (o -> (Matrix.{u4, u3, u1} m n α)) (Pi.instZero.{u2, max (max u4 u3) u1} o (fun (a._@.Mathlib.Data.Matrix.Block._hyg.4792 : o) => Matrix.{u4, u3, u1} m n α) (fun (i : o) => Matrix.zero.{u1, u4, u3} m n α _inst_2))))) (OfNat.ofNat.{max (max (max u4 u3) u2) u1} (Matrix.{max u2 u4, max u2 u3, u1} (Prod.{u4, u2} m o) (Prod.{u3, u2} n o) α) 0 (Zero.toOfNat0.{max (max (max u4 u3) u2) u1} (Matrix.{max u2 u4, max u2 u3, u1} (Prod.{u4, u2} m o) (Prod.{u3, u2} n o) α) (Matrix.zero.{u1, max u4 u2, max u3 u2} (Prod.{u4, u2} m o) (Prod.{u3, u2} n o) α _inst_2)))
+  forall {m : Type.{u4}} {n : Type.{u3}} {o : Type.{u2}} {α : Type.{u1}} [_inst_1 : DecidableEq.{succ u2} o] [_inst_2 : Zero.{u1} α], Eq.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1)} (Matrix.{max u2 u4, max u2 u3, u1} (Prod.{u4, u2} m o) (Prod.{u3, u2} n o) α) (Matrix.blockDiagonal.{u4, u3, u2, u1} m n o α (fun (a : o) (b : o) => _inst_1 a b) _inst_2 (OfNat.ofNat.{max (max (max u4 u3) u2) u1} (o -> (Matrix.{u4, u3, u1} m n α)) 0 (Zero.toOfNat0.{max (max (max u4 u3) u2) u1} (o -> (Matrix.{u4, u3, u1} m n α)) (Pi.instZero.{u2, max (max u4 u3) u1} o (fun (a._@.Mathlib.Data.Matrix.Block._hyg.4903 : o) => Matrix.{u4, u3, u1} m n α) (fun (i : o) => Matrix.zero.{u1, u4, u3} m n α _inst_2))))) (OfNat.ofNat.{max (max (max u4 u3) u2) u1} (Matrix.{max u2 u4, max u2 u3, u1} (Prod.{u4, u2} m o) (Prod.{u3, u2} n o) α) 0 (Zero.toOfNat0.{max (max (max u4 u3) u2) u1} (Matrix.{max u2 u4, max u2 u3, u1} (Prod.{u4, u2} m o) (Prod.{u3, u2} n o) α) (Matrix.zero.{u1, max u4 u2, max u3 u2} (Prod.{u4, u2} m o) (Prod.{u3, u2} n o) α _inst_2)))
 Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal_zero Matrix.blockDiagonal_zeroₓ'. -/
 @[simp]
 theorem blockDiagonal_zero : blockDiagonal (0 : o → Matrix m n α) = 0 :=
@@ -698,7 +704,7 @@ theorem blockDiagonal_diagonal [DecidableEq m] (d : o → m → α) :
 lean 3 declaration is
   forall {m : Type.{u1}} {o : Type.{u2}} {α : Type.{u3}} [_inst_1 : DecidableEq.{succ u2} o] [_inst_2 : Zero.{u3} α] [_inst_4 : DecidableEq.{succ u1} m] [_inst_5 : One.{u3} α], Eq.{succ (max (max u1 u2) u3)} (Matrix.{max u1 u2, max u1 u2, u3} (Prod.{u1, u2} m o) (Prod.{u1, u2} m o) α) (Matrix.blockDiagonal.{u1, u1, u2, u3} m m o α (fun (a : o) (b : o) => _inst_1 a b) _inst_2 (OfNat.ofNat.{max u2 u1 u3} (o -> (Matrix.{u1, u1, u3} m m α)) 1 (OfNat.mk.{max u2 u1 u3} (o -> (Matrix.{u1, u1, u3} m m α)) 1 (One.one.{max u2 u1 u3} (o -> (Matrix.{u1, u1, u3} m m α)) (Pi.instOne.{u2, max u1 u3} o (fun (ᾰ : o) => Matrix.{u1, u1, u3} m m α) (fun (i : o) => Matrix.hasOne.{u3, u1} m α (fun (a : m) (b : m) => _inst_4 a b) _inst_2 _inst_5)))))) (OfNat.ofNat.{max (max u1 u2) u3} (Matrix.{max u1 u2, max u1 u2, u3} (Prod.{u1, u2} m o) (Prod.{u1, u2} m o) α) 1 (OfNat.mk.{max (max u1 u2) u3} (Matrix.{max u1 u2, max u1 u2, u3} (Prod.{u1, u2} m o) (Prod.{u1, u2} m o) α) 1 (One.one.{max (max u1 u2) u3} (Matrix.{max u1 u2, max u1 u2, u3} (Prod.{u1, u2} m o) (Prod.{u1, u2} m o) α) (Matrix.hasOne.{u3, max u1 u2} (Prod.{u1, u2} m o) α (fun (a : Prod.{u1, u2} m o) (b : Prod.{u1, u2} m o) => Prod.decidableEq.{u1, u2} m o (fun (a : m) (b : m) => _inst_4 a b) (fun (a : o) (b : o) => _inst_1 a b) a b) _inst_2 _inst_5))))
 but is expected to have type
-  forall {m : Type.{u3}} {o : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} o] [_inst_2 : Zero.{u2} α] [_inst_4 : DecidableEq.{succ u3} m] [_inst_5 : One.{u2} α], Eq.{max (max (succ u3) (succ u1)) (succ u2)} (Matrix.{max u1 u3, max u1 u3, u2} (Prod.{u3, u1} m o) (Prod.{u3, u1} m o) α) (Matrix.blockDiagonal.{u3, u3, u1, u2} m m o α (fun (a : o) (b : o) => _inst_1 a b) _inst_2 (OfNat.ofNat.{max (max u3 u1) u2} (o -> (Matrix.{u3, u3, u2} m m α)) 1 (One.toOfNat1.{max (max u3 u1) u2} (o -> (Matrix.{u3, u3, u2} m m α)) (Pi.instOne.{u1, max u3 u2} o (fun (a._@.Mathlib.Data.Matrix.Block._hyg.4945 : o) => Matrix.{u3, u3, u2} m m α) (fun (i : o) => Matrix.one.{u2, u3} m α (fun (a : m) (b : m) => _inst_4 a b) _inst_2 _inst_5))))) (OfNat.ofNat.{max (max u3 u1) u2} (Matrix.{max u1 u3, max u1 u3, u2} (Prod.{u3, u1} m o) (Prod.{u3, u1} m o) α) 1 (One.toOfNat1.{max (max u3 u1) u2} (Matrix.{max u1 u3, max u1 u3, u2} (Prod.{u3, u1} m o) (Prod.{u3, u1} m o) α) (Matrix.one.{u2, max u3 u1} (Prod.{u3, u1} m o) α (fun (a : Prod.{u3, u1} m o) (b : Prod.{u3, u1} m o) => instDecidableEqProd.{u3, u1} m o (fun (a : m) (b : m) => _inst_4 a b) (fun (a : o) (b : o) => _inst_1 a b) a b) _inst_2 _inst_5)))
+  forall {m : Type.{u3}} {o : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} o] [_inst_2 : Zero.{u2} α] [_inst_4 : DecidableEq.{succ u3} m] [_inst_5 : One.{u2} α], Eq.{max (max (succ u3) (succ u1)) (succ u2)} (Matrix.{max u1 u3, max u1 u3, u2} (Prod.{u3, u1} m o) (Prod.{u3, u1} m o) α) (Matrix.blockDiagonal.{u3, u3, u1, u2} m m o α (fun (a : o) (b : o) => _inst_1 a b) _inst_2 (OfNat.ofNat.{max (max u3 u1) u2} (o -> (Matrix.{u3, u3, u2} m m α)) 1 (One.toOfNat1.{max (max u3 u1) u2} (o -> (Matrix.{u3, u3, u2} m m α)) (Pi.instOne.{u1, max u3 u2} o (fun (a._@.Mathlib.Data.Matrix.Block._hyg.5056 : o) => Matrix.{u3, u3, u2} m m α) (fun (i : o) => Matrix.one.{u2, u3} m α (fun (a : m) (b : m) => _inst_4 a b) _inst_2 _inst_5))))) (OfNat.ofNat.{max (max u3 u1) u2} (Matrix.{max u1 u3, max u1 u3, u2} (Prod.{u3, u1} m o) (Prod.{u3, u1} m o) α) 1 (One.toOfNat1.{max (max u3 u1) u2} (Matrix.{max u1 u3, max u1 u3, u2} (Prod.{u3, u1} m o) (Prod.{u3, u1} m o) α) (Matrix.one.{u2, max u3 u1} (Prod.{u3, u1} m o) α (fun (a : Prod.{u3, u1} m o) (b : Prod.{u3, u1} m o) => instDecidableEqProd.{u3, u1} m o (fun (a : m) (b : m) => _inst_4 a b) (fun (a : o) (b : o) => _inst_1 a b) a b) _inst_2 _inst_5)))
 Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal_one Matrix.blockDiagonal_oneₓ'. -/
 @[simp]
 theorem blockDiagonal_one [DecidableEq m] [One α] : blockDiagonal (1 : o → Matrix m m α) = 1 :=
@@ -819,7 +825,7 @@ theorem blockDiagonal_pow [DecidableEq m] [Fintype o] [Fintype m] [Semiring α]
 lean 3 declaration is
   forall {m : Type.{u1}} {n : Type.{u2}} {o : Type.{u3}} {α : Type.{u4}} [_inst_1 : DecidableEq.{succ u3} o] {R : Type.{u5}} [_inst_2 : Monoid.{u5} R] [_inst_3 : AddMonoid.{u4} α] [_inst_4 : DistribMulAction.{u5, u4} R α _inst_2 _inst_3] (x : R) (M : o -> (Matrix.{u1, u2, u4} m n α)), Eq.{succ (max (max u1 u3) (max u2 u3) u4)} (Matrix.{max u1 u3, max u2 u3, u4} (Prod.{u1, u3} m o) (Prod.{u2, u3} n o) α) (Matrix.blockDiagonal.{u1, u2, u3, u4} m n o α (fun (a : o) (b : o) => _inst_1 a b) (AddZeroClass.toHasZero.{u4} α (AddMonoid.toAddZeroClass.{u4} α _inst_3)) (SMul.smul.{u5, max u3 u1 u2 u4} R (o -> (Matrix.{u1, u2, u4} m n α)) (Function.hasSMul.{u3, u5, max u1 u2 u4} o R (Matrix.{u1, u2, u4} m n α) (Matrix.hasSmul.{u4, u1, u2, u5} m n R α (SMulZeroClass.toHasSmul.{u5, u4} R α (AddZeroClass.toHasZero.{u4} α (AddMonoid.toAddZeroClass.{u4} α _inst_3)) (DistribSMul.toSmulZeroClass.{u5, u4} R α (AddMonoid.toAddZeroClass.{u4} α _inst_3) (DistribMulAction.toDistribSMul.{u5, u4} R α _inst_2 _inst_3 _inst_4))))) x M)) (SMul.smul.{u5, max (max u1 u3) (max u2 u3) u4} R (Matrix.{max u1 u3, max u2 u3, u4} (Prod.{u1, u3} m o) (Prod.{u2, u3} n o) α) (Matrix.hasSmul.{u4, max u1 u3, max u2 u3, u5} (Prod.{u1, u3} m o) (Prod.{u2, u3} n o) R α (SMulZeroClass.toHasSmul.{u5, u4} R α (AddZeroClass.toHasZero.{u4} α (AddMonoid.toAddZeroClass.{u4} α _inst_3)) (DistribSMul.toSmulZeroClass.{u5, u4} R α (AddMonoid.toAddZeroClass.{u4} α _inst_3) (DistribMulAction.toDistribSMul.{u5, u4} R α _inst_2 _inst_3 _inst_4)))) x (Matrix.blockDiagonal.{u1, u2, u3, u4} m n o α (fun (a : o) (b : o) => _inst_1 a b) (AddZeroClass.toHasZero.{u4} α (AddMonoid.toAddZeroClass.{u4} α _inst_3)) M))
 but is expected to have type
-  forall {m : Type.{u3}} {n : Type.{u2}} {o : Type.{u1}} {α : Type.{u4}} [_inst_1 : DecidableEq.{succ u1} o] {R : Type.{u5}} [_inst_2 : Monoid.{u5} R] [_inst_3 : AddMonoid.{u4} α] [_inst_4 : DistribMulAction.{u5, u4} R α _inst_2 _inst_3] (x : R) (M : o -> (Matrix.{u3, u2, u4} m n α)), Eq.{max (max (max (succ u3) (succ u2)) (succ u1)) (succ u4)} (Matrix.{max u1 u3, max u1 u2, u4} (Prod.{u3, u1} m o) (Prod.{u2, u1} n o) α) (Matrix.blockDiagonal.{u3, u2, u1, u4} m n o α (fun (a : o) (b : o) => _inst_1 a b) (AddMonoid.toZero.{u4} α _inst_3) (HSMul.hSMul.{u5, max (max (max u3 u2) u1) u4, max (max (max u3 u2) u1) u4} R (o -> (Matrix.{u3, u2, u4} m n α)) (o -> (Matrix.{u3, u2, u4} m n α)) (instHSMul.{u5, max (max (max u3 u2) u1) u4} R (o -> (Matrix.{u3, u2, u4} m n α)) (Pi.instSMul.{u1, max (max u3 u2) u4, u5} o R (fun (a._@.Mathlib.Data.Matrix.Block._hyg.5611 : o) => Matrix.{u3, u2, u4} m n α) (fun (i : o) => Matrix.smul.{u4, u3, u2, u5} m n R α (SMulZeroClass.toSMul.{u5, u4} R α (AddMonoid.toZero.{u4} α _inst_3) (DistribSMul.toSMulZeroClass.{u5, u4} R α (AddMonoid.toAddZeroClass.{u4} α _inst_3) (DistribMulAction.toDistribSMul.{u5, u4} R α _inst_2 _inst_3 _inst_4)))))) x M)) (HSMul.hSMul.{u5, max (max (max u4 u1) u2) u3, max (max (max u3 u2) u1) u4} R (Matrix.{max u1 u3, max u1 u2, u4} (Prod.{u3, u1} m o) (Prod.{u2, u1} n o) α) (Matrix.{max u1 u3, max u1 u2, u4} (Prod.{u3, u1} m o) (Prod.{u2, u1} n o) α) (instHSMul.{u5, max (max (max u3 u2) u1) u4} R (Matrix.{max u1 u3, max u1 u2, u4} (Prod.{u3, u1} m o) (Prod.{u2, u1} n o) α) (Matrix.smul.{u4, max u3 u1, max u2 u1, u5} (Prod.{u3, u1} m o) (Prod.{u2, u1} n o) R α (SMulZeroClass.toSMul.{u5, u4} R α (AddMonoid.toZero.{u4} α _inst_3) (DistribSMul.toSMulZeroClass.{u5, u4} R α (AddMonoid.toAddZeroClass.{u4} α _inst_3) (DistribMulAction.toDistribSMul.{u5, u4} R α _inst_2 _inst_3 _inst_4))))) x (Matrix.blockDiagonal.{u3, u2, u1, u4} m n o α (fun (a : o) (b : o) => _inst_1 a b) (AddMonoid.toZero.{u4} α _inst_3) M))
+  forall {m : Type.{u3}} {n : Type.{u2}} {o : Type.{u1}} {α : Type.{u4}} [_inst_1 : DecidableEq.{succ u1} o] {R : Type.{u5}} [_inst_2 : Monoid.{u5} R] [_inst_3 : AddMonoid.{u4} α] [_inst_4 : DistribMulAction.{u5, u4} R α _inst_2 _inst_3] (x : R) (M : o -> (Matrix.{u3, u2, u4} m n α)), Eq.{max (max (max (succ u3) (succ u2)) (succ u1)) (succ u4)} (Matrix.{max u1 u3, max u1 u2, u4} (Prod.{u3, u1} m o) (Prod.{u2, u1} n o) α) (Matrix.blockDiagonal.{u3, u2, u1, u4} m n o α (fun (a : o) (b : o) => _inst_1 a b) (AddMonoid.toZero.{u4} α _inst_3) (HSMul.hSMul.{u5, max (max (max u3 u2) u1) u4, max (max (max u3 u2) u1) u4} R (o -> (Matrix.{u3, u2, u4} m n α)) (o -> (Matrix.{u3, u2, u4} m n α)) (instHSMul.{u5, max (max (max u3 u2) u1) u4} R (o -> (Matrix.{u3, u2, u4} m n α)) (Pi.instSMul.{u1, max (max u3 u2) u4, u5} o R (fun (a._@.Mathlib.Data.Matrix.Block._hyg.5722 : o) => Matrix.{u3, u2, u4} m n α) (fun (i : o) => Matrix.smul.{u4, u3, u2, u5} m n R α (SMulZeroClass.toSMul.{u5, u4} R α (AddMonoid.toZero.{u4} α _inst_3) (DistribSMul.toSMulZeroClass.{u5, u4} R α (AddMonoid.toAddZeroClass.{u4} α _inst_3) (DistribMulAction.toDistribSMul.{u5, u4} R α _inst_2 _inst_3 _inst_4)))))) x M)) (HSMul.hSMul.{u5, max (max (max u4 u1) u2) u3, max (max (max u3 u2) u1) u4} R (Matrix.{max u1 u3, max u1 u2, u4} (Prod.{u3, u1} m o) (Prod.{u2, u1} n o) α) (Matrix.{max u1 u3, max u1 u2, u4} (Prod.{u3, u1} m o) (Prod.{u2, u1} n o) α) (instHSMul.{u5, max (max (max u3 u2) u1) u4} R (Matrix.{max u1 u3, max u1 u2, u4} (Prod.{u3, u1} m o) (Prod.{u2, u1} n o) α) (Matrix.smul.{u4, max u3 u1, max u2 u1, u5} (Prod.{u3, u1} m o) (Prod.{u2, u1} n o) R α (SMulZeroClass.toSMul.{u5, u4} R α (AddMonoid.toZero.{u4} α _inst_3) (DistribSMul.toSMulZeroClass.{u5, u4} R α (AddMonoid.toAddZeroClass.{u4} α _inst_3) (DistribMulAction.toDistribSMul.{u5, u4} R α _inst_2 _inst_3 _inst_4))))) x (Matrix.blockDiagonal.{u3, u2, u1, u4} m n o α (fun (a : o) (b : o) => _inst_1 a b) (AddMonoid.toZero.{u4} α _inst_3) M))
 Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal_smul Matrix.blockDiagonal_smulₓ'. -/
 @[simp]
 theorem blockDiagonal_smul {R : Type _} [Monoid R] [AddMonoid α] [DistribMulAction R α] (x : R)
Diff
@@ -1561,7 +1561,7 @@ variable [CommRing R]
 
 /- warning: matrix.to_block_mul_eq_mul -> Matrix.toBlock_mul_eq_mul is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} [_inst_1 : CommRing.{u1} R] {m : Type.{u2}} {n : Type.{u3}} {k : Type.{u4}} [_inst_2 : Fintype.{u3} n] (p : m -> Prop) (q : k -> Prop) (A : Matrix.{u2, u3, u1} m n R) (B : Matrix.{u3, u4, u1} n k R), Eq.{succ (max u2 u4 u1)} (Matrix.{u2, u4, u1} (Subtype.{succ u2} m (fun (a : m) => p a)) (Subtype.{succ u4} k (fun (a : k) => q a)) R) (Matrix.toBlock.{u2, u4, u1} m k R (Matrix.mul.{u1, u2, u3, u4} m n k R _inst_2 (Distrib.toHasMul.{u1} R (Ring.toDistrib.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1))))) A B) p q) (Matrix.mul.{u1, u2, u3, u4} (Subtype.{succ u2} m (fun (a : m) => p a)) (Subtype.{succ u3} n (fun (a : n) => Top.top.{u3} (n -> Prop) (Pi.hasTop.{u3, 0} n (fun (ᾰ : n) => Prop) (fun (i : n) => CompleteLattice.toHasTop.{0} Prop Prop.completeLattice)) a)) (Subtype.{succ u4} k (fun (a : k) => q a)) R (Subtype.fintype.{u3} n (fun (a : n) => Top.top.{u3} (n -> Prop) (Pi.hasTop.{u3, 0} n (fun (ᾰ : n) => Prop) (fun (i : n) => CompleteLattice.toHasTop.{0} Prop Prop.completeLattice)) a) (fun (a : n) => Decidable.true) _inst_2) (Distrib.toHasMul.{u1} R (Ring.toDistrib.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (Matrix.toBlock.{u2, u3, u1} m n R A p (Top.top.{u3} (n -> Prop) (Pi.hasTop.{u3, 0} n (fun (ᾰ : n) => Prop) (fun (i : n) => CompleteLattice.toHasTop.{0} Prop Prop.completeLattice)))) (Matrix.toBlock.{u3, u4, u1} n k R B (Top.top.{u3} (n -> Prop) (Pi.hasTop.{u3, 0} n (fun (ᾰ : n) => Prop) (fun (i : n) => CompleteLattice.toHasTop.{0} Prop Prop.completeLattice))) q))
+  forall {R : Type.{u1}} [_inst_1 : CommRing.{u1} R] {m : Type.{u2}} {n : Type.{u3}} {k : Type.{u4}} [_inst_2 : Fintype.{u3} n] (p : m -> Prop) (q : k -> Prop) (A : Matrix.{u2, u3, u1} m n R) (B : Matrix.{u3, u4, u1} n k R), Eq.{succ (max u2 u4 u1)} (Matrix.{u2, u4, u1} (Subtype.{succ u2} m (fun (a : m) => p a)) (Subtype.{succ u4} k (fun (a : k) => q a)) R) (Matrix.toBlock.{u2, u4, u1} m k R (Matrix.mul.{u1, u2, u3, u4} m n k R _inst_2 (Distrib.toHasMul.{u1} R (Ring.toDistrib.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1))))) A B) p q) (Matrix.mul.{u1, u2, u3, u4} (Subtype.{succ u2} m (fun (a : m) => p a)) (Subtype.{succ u3} n (fun (a : n) => Top.top.{u3} (n -> Prop) (Pi.hasTop.{u3, 0} n (fun (ᾰ : n) => Prop) (fun (i : n) => CompleteLattice.toHasTop.{0} Prop Prop.completeLattice)) a)) (Subtype.{succ u4} k (fun (a : k) => q a)) R (Subtype.fintype.{u3} n (fun (a : n) => Top.top.{u3} (n -> Prop) (Pi.hasTop.{u3, 0} n (fun (ᾰ : n) => Prop) (fun (i : n) => CompleteLattice.toHasTop.{0} Prop Prop.completeLattice)) a) (fun (a : n) => decidableTrue) _inst_2) (Distrib.toHasMul.{u1} R (Ring.toDistrib.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (Matrix.toBlock.{u2, u3, u1} m n R A p (Top.top.{u3} (n -> Prop) (Pi.hasTop.{u3, 0} n (fun (ᾰ : n) => Prop) (fun (i : n) => CompleteLattice.toHasTop.{0} Prop Prop.completeLattice)))) (Matrix.toBlock.{u3, u4, u1} n k R B (Top.top.{u3} (n -> Prop) (Pi.hasTop.{u3, 0} n (fun (ᾰ : n) => Prop) (fun (i : n) => CompleteLattice.toHasTop.{0} Prop Prop.completeLattice))) q))
 but is expected to have type
   forall {R : Type.{u1}} [_inst_1 : CommRing.{u1} R] {m : Type.{u4}} {n : Type.{u3}} {k : Type.{u2}} [_inst_2 : Fintype.{u3} n] (p : m -> Prop) (q : k -> Prop) (A : Matrix.{u4, u3, u1} m n R) (B : Matrix.{u3, u2, u1} n k R), Eq.{max (max (succ u1) (succ u4)) (succ u2)} (Matrix.{u4, u2, u1} (Subtype.{succ u4} m (fun (a : m) => p a)) (Subtype.{succ u2} k (fun (a : k) => q a)) R) (Matrix.toBlock.{u4, u2, u1} m k R (Matrix.mul.{u1, u4, u3, u2} m n k R _inst_2 (NonUnitalNonAssocRing.toMul.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1))))) A B) p q) (Matrix.mul.{u1, u4, u3, u2} (Subtype.{succ u4} m (fun (a : m) => p a)) (Subtype.{succ u3} n (fun (a : n) => Top.top.{u3} (n -> Prop) (Pi.instTopForAll.{u3, 0} n (fun (ᾰ : n) => Prop) (fun (i : n) => CompleteLattice.toTop.{0} Prop Prop.completeLattice)) a)) (Subtype.{succ u2} k (fun (a : k) => q a)) R (Subtype.fintype.{u3} n (fun (a : n) => Top.top.{u3} (n -> Prop) (Pi.instTopForAll.{u3, 0} n (fun (ᾰ : n) => Prop) (fun (i : n) => CompleteLattice.toTop.{0} Prop Prop.completeLattice)) a) (fun (a : n) => Prop.decidablePredTop.{u3} n a) _inst_2) (NonUnitalNonAssocRing.toMul.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (Matrix.toBlock.{u4, u3, u1} m n R A p (Top.top.{u3} (n -> Prop) (Pi.instTopForAll.{u3, 0} n (fun (ᾰ : n) => Prop) (fun (i : n) => CompleteLattice.toTop.{0} Prop Prop.completeLattice)))) (Matrix.toBlock.{u3, u2, u1} n k R B (Top.top.{u3} (n -> Prop) (Pi.instTopForAll.{u3, 0} n (fun (ᾰ : n) => Prop) (fun (i : n) => CompleteLattice.toTop.{0} Prop Prop.completeLattice))) q))
 Case conversion may be inaccurate. Consider using '#align matrix.to_block_mul_eq_mul Matrix.toBlock_mul_eq_mulₓ'. -/
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Ellen Arlt, Blair Shi, Sean Leather, Mario Carneiro, Johan Commelin
 
 ! This file was ported from Lean 3 source module data.matrix.block
-! leanprover-community/mathlib commit b5665fd3fb2a80ee05ff42b6031ef2055b8f9d85
+! leanprover-community/mathlib commit c060baa79af5ca092c54b8bf04f0f10592f59489
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -390,6 +390,13 @@ theorem fromBlocks_neg [Neg R] (A : Matrix n l R) (B : Matrix n m R) (C : Matrix
   cases i <;> cases j <;> simp [from_blocks]
 #align matrix.from_blocks_neg Matrix.fromBlocks_neg
 
+@[simp]
+theorem fromBlocks_zero [Zero α] : fromBlocks (0 : Matrix n l α) 0 0 (0 : Matrix o m α) = 0 :=
+  by
+  ext (i j)
+  rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> rfl
+#align matrix.from_blocks_zero Matrix.fromBlocks_zero
+
 /- warning: matrix.from_blocks_add -> Matrix.fromBlocks_add is a dubious translation:
 lean 3 declaration is
   forall {l : Type.{u1}} {m : Type.{u2}} {n : Type.{u3}} {o : Type.{u4}} {α : Type.{u5}} [_inst_1 : Add.{u5} α] (A : Matrix.{u3, u1, u5} n l α) (B : Matrix.{u3, u2, u5} n m α) (C : Matrix.{u4, u1, u5} o l α) (D : Matrix.{u4, u2, u5} o m α) (A' : Matrix.{u3, u1, u5} n l α) (B' : Matrix.{u3, u2, u5} n m α) (C' : Matrix.{u4, u1, u5} o l α) (D' : Matrix.{u4, u2, u5} o m α), Eq.{succ (max (max u3 u4) (max u1 u2) u5)} (Matrix.{max u3 u4, max u1 u2, u5} (Sum.{u3, u4} n o) (Sum.{u1, u2} l m) α) (HAdd.hAdd.{max (max u3 u4) (max u1 u2) u5, max (max u3 u4) (max u1 u2) u5, max (max u3 u4) (max u1 u2) u5} (Matrix.{max u3 u4, max u1 u2, u5} (Sum.{u3, u4} n o) (Sum.{u1, u2} l m) α) (Matrix.{max u3 u4, max u1 u2, u5} (Sum.{u3, u4} n o) (Sum.{u1, u2} l m) α) (Matrix.{max u3 u4, max u1 u2, u5} (Sum.{u3, u4} n o) (Sum.{u1, u2} l m) α) (instHAdd.{max (max u3 u4) (max u1 u2) u5} (Matrix.{max u3 u4, max u1 u2, u5} (Sum.{u3, u4} n o) (Sum.{u1, u2} l m) α) (Matrix.hasAdd.{u5, max u3 u4, max u1 u2} (Sum.{u3, u4} n o) (Sum.{u1, u2} l m) α _inst_1)) (Matrix.fromBlocks.{u1, u2, u3, u4, u5} l m n o α A B C D) (Matrix.fromBlocks.{u1, u2, u3, u4, u5} l m n o α A' B' C' D')) (Matrix.fromBlocks.{u1, u2, u3, u4, u5} l m n o α (HAdd.hAdd.{max u3 u1 u5, max u3 u1 u5, max u3 u1 u5} (Matrix.{u3, u1, u5} n l α) (Matrix.{u3, u1, u5} n l α) (Matrix.{u3, u1, u5} n l α) (instHAdd.{max u3 u1 u5} (Matrix.{u3, u1, u5} n l α) (Matrix.hasAdd.{u5, u3, u1} n l α _inst_1)) A A') (HAdd.hAdd.{max u3 u2 u5, max u3 u2 u5, max u3 u2 u5} (Matrix.{u3, u2, u5} n m α) (Matrix.{u3, u2, u5} n m α) (Matrix.{u3, u2, u5} n m α) (instHAdd.{max u3 u2 u5} (Matrix.{u3, u2, u5} n m α) (Matrix.hasAdd.{u5, u3, u2} n m α _inst_1)) B B') (HAdd.hAdd.{max u4 u1 u5, max u4 u1 u5, max u4 u1 u5} (Matrix.{u4, u1, u5} o l α) (Matrix.{u4, u1, u5} o l α) (Matrix.{u4, u1, u5} o l α) (instHAdd.{max u4 u1 u5} (Matrix.{u4, u1, u5} o l α) (Matrix.hasAdd.{u5, u4, u1} o l α _inst_1)) C C') (HAdd.hAdd.{max u4 u2 u5, max u4 u2 u5, max u4 u2 u5} (Matrix.{u4, u2, u5} o m α) (Matrix.{u4, u2, u5} o m α) (Matrix.{u4, u2, u5} o m α) (instHAdd.{max u4 u2 u5} (Matrix.{u4, u2, u5} o m α) (Matrix.hasAdd.{u5, u4, u2} o m α _inst_1)) D D'))
Diff
@@ -200,6 +200,12 @@ theorem toBlocks_fromBlocks₂₂ (A : Matrix n l α) (B : Matrix n m α) (C : M
   rfl
 #align matrix.to_blocks_from_blocks₂₂ Matrix.toBlocks_fromBlocks₂₂
 
+/- warning: matrix.ext_iff_blocks -> Matrix.ext_iff_blocks is a dubious translation:
+lean 3 declaration is
+  forall {l : Type.{u1}} {m : Type.{u2}} {n : Type.{u3}} {o : Type.{u4}} {α : Type.{u5}} {A : Matrix.{max u3 u4, max u1 u2, u5} (Sum.{u3, u4} n o) (Sum.{u1, u2} l m) α} {B : Matrix.{max u3 u4, max u1 u2, u5} (Sum.{u3, u4} n o) (Sum.{u1, u2} l m) α}, Iff (Eq.{succ (max (max u3 u4) (max u1 u2) u5)} (Matrix.{max u3 u4, max u1 u2, u5} (Sum.{u3, u4} n o) (Sum.{u1, u2} l m) α) A B) (And (Eq.{succ (max u3 u1 u5)} (Matrix.{u3, u1, u5} n l α) (Matrix.toBlocks₁₁.{u1, u2, u3, u4, u5} l m n o α A) (Matrix.toBlocks₁₁.{u1, u2, u3, u4, u5} l m n o α B)) (And (Eq.{succ (max u3 u2 u5)} (Matrix.{u3, u2, u5} n m α) (Matrix.toBlocks₁₂.{u1, u2, u3, u4, u5} l m n o α A) (Matrix.toBlocks₁₂.{u1, u2, u3, u4, u5} l m n o α B)) (And (Eq.{succ (max u4 u1 u5)} (Matrix.{u4, u1, u5} o l α) (Matrix.toBlocks₂₁.{u1, u2, u3, u4, u5} l m n o α A) (Matrix.toBlocks₂₁.{u1, u2, u3, u4, u5} l m n o α B)) (Eq.{succ (max u4 u2 u5)} (Matrix.{u4, u2, u5} o m α) (Matrix.toBlocks₂₂.{u1, u2, u3, u4, u5} l m n o α A) (Matrix.toBlocks₂₂.{u1, u2, u3, u4, u5} l m n o α B)))))
+but is expected to have type
+  forall {l : Type.{u2}} {m : Type.{u3}} {n : Type.{u4}} {o : Type.{u5}} {α : Type.{u1}} {A : Matrix.{max u5 u4, max u3 u2, u1} (Sum.{u4, u5} n o) (Sum.{u2, u3} l m) α} {B : Matrix.{max u5 u4, max u3 u2, u1} (Sum.{u4, u5} n o) (Sum.{u2, u3} l m) α}, Iff (Eq.{max (max (max (max (succ u2) (succ u3)) (succ u4)) (succ u5)) (succ u1)} (Matrix.{max u5 u4, max u3 u2, u1} (Sum.{u4, u5} n o) (Sum.{u2, u3} l m) α) A B) (And (Eq.{max (max (succ u2) (succ u4)) (succ u1)} (Matrix.{u4, u2, u1} n l α) (Matrix.toBlocks₁₁.{u2, u3, u4, u5, u1} l m n o α A) (Matrix.toBlocks₁₁.{u2, u3, u4, u5, u1} l m n o α B)) (And (Eq.{max (max (succ u3) (succ u4)) (succ u1)} (Matrix.{u4, u3, u1} n m α) (Matrix.toBlocks₁₂.{u2, u3, u4, u5, u1} l m n o α A) (Matrix.toBlocks₁₂.{u2, u3, u4, u5, u1} l m n o α B)) (And (Eq.{max (max (succ u2) (succ u5)) (succ u1)} (Matrix.{u5, u2, u1} o l α) (Matrix.toBlocks₂₁.{u2, u3, u4, u5, u1} l m n o α A) (Matrix.toBlocks₂₁.{u2, u3, u4, u5, u1} l m n o α B)) (Eq.{max (max (succ u3) (succ u5)) (succ u1)} (Matrix.{u5, u3, u1} o m α) (Matrix.toBlocks₂₂.{u2, u3, u4, u5, u1} l m n o α A) (Matrix.toBlocks₂₂.{u2, u3, u4, u5, u1} l m n o α B)))))
+Case conversion may be inaccurate. Consider using '#align matrix.ext_iff_blocks Matrix.ext_iff_blocksₓ'. -/
 /-- Two block matrices are equal if their blocks are equal. -/
 theorem ext_iff_blocks {A B : Matrix (Sum n o) (Sum l m) α} :
     A = B ↔
@@ -209,6 +215,12 @@ theorem ext_iff_blocks {A B : Matrix (Sum n o) (Sum l m) α} :
     rw [← from_blocks_to_blocks A, ← from_blocks_to_blocks B, h₁₁, h₁₂, h₂₁, h₂₂]⟩
 #align matrix.ext_iff_blocks Matrix.ext_iff_blocks
 
+/- warning: matrix.from_blocks_inj -> Matrix.fromBlocks_inj is a dubious translation:
+lean 3 declaration is
+  forall {l : Type.{u1}} {m : Type.{u2}} {n : Type.{u3}} {o : Type.{u4}} {α : Type.{u5}} {A : Matrix.{u3, u1, u5} n l α} {B : Matrix.{u3, u2, u5} n m α} {C : Matrix.{u4, u1, u5} o l α} {D : Matrix.{u4, u2, u5} o m α} {A' : Matrix.{u3, u1, u5} n l α} {B' : Matrix.{u3, u2, u5} n m α} {C' : Matrix.{u4, u1, u5} o l α} {D' : Matrix.{u4, u2, u5} o m α}, Iff (Eq.{succ (max (max u3 u4) (max u1 u2) u5)} (Matrix.{max u3 u4, max u1 u2, u5} (Sum.{u3, u4} n o) (Sum.{u1, u2} l m) α) (Matrix.fromBlocks.{u1, u2, u3, u4, u5} l m n o α A B C D) (Matrix.fromBlocks.{u1, u2, u3, u4, u5} l m n o α A' B' C' D')) (And (Eq.{succ (max u3 u1 u5)} (Matrix.{u3, u1, u5} n l α) A A') (And (Eq.{succ (max u3 u2 u5)} (Matrix.{u3, u2, u5} n m α) B B') (And (Eq.{succ (max u4 u1 u5)} (Matrix.{u4, u1, u5} o l α) C C') (Eq.{succ (max u4 u2 u5)} (Matrix.{u4, u2, u5} o m α) D D'))))
+but is expected to have type
+  forall {l : Type.{u4}} {m : Type.{u2}} {n : Type.{u5}} {o : Type.{u1}} {α : Type.{u3}} {A : Matrix.{u5, u4, u3} n l α} {B : Matrix.{u5, u2, u3} n m α} {C : Matrix.{u1, u4, u3} o l α} {D : Matrix.{u1, u2, u3} o m α} {A' : Matrix.{u5, u4, u3} n l α} {B' : Matrix.{u5, u2, u3} n m α} {C' : Matrix.{u1, u4, u3} o l α} {D' : Matrix.{u1, u2, u3} o m α}, Iff (Eq.{max (max (max (max (succ u4) (succ u2)) (succ u5)) (succ u1)) (succ u3)} (Matrix.{max u1 u5, max u2 u4, u3} (Sum.{u5, u1} n o) (Sum.{u4, u2} l m) α) (Matrix.fromBlocks.{u4, u2, u5, u1, u3} l m n o α A B C D) (Matrix.fromBlocks.{u4, u2, u5, u1, u3} l m n o α A' B' C' D')) (And (Eq.{max (max (succ u4) (succ u5)) (succ u3)} (Matrix.{u5, u4, u3} n l α) A A') (And (Eq.{max (max (succ u2) (succ u5)) (succ u3)} (Matrix.{u5, u2, u3} n m α) B B') (And (Eq.{max (max (succ u4) (succ u1)) (succ u3)} (Matrix.{u1, u4, u3} o l α) C C') (Eq.{max (max (succ u2) (succ u1)) (succ u3)} (Matrix.{u1, u2, u3} o m α) D D'))))
+Case conversion may be inaccurate. Consider using '#align matrix.from_blocks_inj Matrix.fromBlocks_injₓ'. -/
 @[simp]
 theorem fromBlocks_inj {A : Matrix n l α} {B : Matrix n m α} {C : Matrix o l α} {D : Matrix o m α}
     {A' : Matrix n l α} {B' : Matrix n m α} {C' : Matrix o l α} {D' : Matrix o m α} :
@@ -650,7 +662,7 @@ theorem blockDiagonal_conjTranspose {α : Type _} [AddMonoid α] [StarAddMonoid
 lean 3 declaration is
   forall {m : Type.{u1}} {n : Type.{u2}} {o : Type.{u3}} {α : Type.{u4}} [_inst_1 : DecidableEq.{succ u3} o] [_inst_2 : Zero.{u4} α], Eq.{succ (max (max u1 u3) (max u2 u3) u4)} (Matrix.{max u1 u3, max u2 u3, u4} (Prod.{u1, u3} m o) (Prod.{u2, u3} n o) α) (Matrix.blockDiagonal.{u1, u2, u3, u4} m n o α (fun (a : o) (b : o) => _inst_1 a b) _inst_2 (OfNat.ofNat.{max u3 u1 u2 u4} (o -> (Matrix.{u1, u2, u4} m n α)) 0 (OfNat.mk.{max u3 u1 u2 u4} (o -> (Matrix.{u1, u2, u4} m n α)) 0 (Zero.zero.{max u3 u1 u2 u4} (o -> (Matrix.{u1, u2, u4} m n α)) (Pi.instZero.{u3, max u1 u2 u4} o (fun (ᾰ : o) => Matrix.{u1, u2, u4} m n α) (fun (i : o) => Matrix.hasZero.{u4, u1, u2} m n α _inst_2)))))) (OfNat.ofNat.{max (max u1 u3) (max u2 u3) u4} (Matrix.{max u1 u3, max u2 u3, u4} (Prod.{u1, u3} m o) (Prod.{u2, u3} n o) α) 0 (OfNat.mk.{max (max u1 u3) (max u2 u3) u4} (Matrix.{max u1 u3, max u2 u3, u4} (Prod.{u1, u3} m o) (Prod.{u2, u3} n o) α) 0 (Zero.zero.{max (max u1 u3) (max u2 u3) u4} (Matrix.{max u1 u3, max u2 u3, u4} (Prod.{u1, u3} m o) (Prod.{u2, u3} n o) α) (Matrix.hasZero.{u4, max u1 u3, max u2 u3} (Prod.{u1, u3} m o) (Prod.{u2, u3} n o) α _inst_2))))
 but is expected to have type
-  forall {m : Type.{u4}} {n : Type.{u3}} {o : Type.{u2}} {α : Type.{u1}} [_inst_1 : DecidableEq.{succ u2} o] [_inst_2 : Zero.{u1} α], Eq.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1)} (Matrix.{max u2 u4, max u2 u3, u1} (Prod.{u4, u2} m o) (Prod.{u3, u2} n o) α) (Matrix.blockDiagonal.{u4, u3, u2, u1} m n o α (fun (a : o) (b : o) => _inst_1 a b) _inst_2 (OfNat.ofNat.{max (max (max u4 u3) u2) u1} (o -> (Matrix.{u4, u3, u1} m n α)) 0 (Zero.toOfNat0.{max (max (max u4 u3) u2) u1} (o -> (Matrix.{u4, u3, u1} m n α)) (Pi.instZero.{u2, max (max u4 u3) u1} o (fun (a._@.Mathlib.Data.Matrix.Block._hyg.4524 : o) => Matrix.{u4, u3, u1} m n α) (fun (i : o) => Matrix.zero.{u1, u4, u3} m n α _inst_2))))) (OfNat.ofNat.{max (max (max u4 u3) u2) u1} (Matrix.{max u2 u4, max u2 u3, u1} (Prod.{u4, u2} m o) (Prod.{u3, u2} n o) α) 0 (Zero.toOfNat0.{max (max (max u4 u3) u2) u1} (Matrix.{max u2 u4, max u2 u3, u1} (Prod.{u4, u2} m o) (Prod.{u3, u2} n o) α) (Matrix.zero.{u1, max u4 u2, max u3 u2} (Prod.{u4, u2} m o) (Prod.{u3, u2} n o) α _inst_2)))
+  forall {m : Type.{u4}} {n : Type.{u3}} {o : Type.{u2}} {α : Type.{u1}} [_inst_1 : DecidableEq.{succ u2} o] [_inst_2 : Zero.{u1} α], Eq.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1)} (Matrix.{max u2 u4, max u2 u3, u1} (Prod.{u4, u2} m o) (Prod.{u3, u2} n o) α) (Matrix.blockDiagonal.{u4, u3, u2, u1} m n o α (fun (a : o) (b : o) => _inst_1 a b) _inst_2 (OfNat.ofNat.{max (max (max u4 u3) u2) u1} (o -> (Matrix.{u4, u3, u1} m n α)) 0 (Zero.toOfNat0.{max (max (max u4 u3) u2) u1} (o -> (Matrix.{u4, u3, u1} m n α)) (Pi.instZero.{u2, max (max u4 u3) u1} o (fun (a._@.Mathlib.Data.Matrix.Block._hyg.4792 : o) => Matrix.{u4, u3, u1} m n α) (fun (i : o) => Matrix.zero.{u1, u4, u3} m n α _inst_2))))) (OfNat.ofNat.{max (max (max u4 u3) u2) u1} (Matrix.{max u2 u4, max u2 u3, u1} (Prod.{u4, u2} m o) (Prod.{u3, u2} n o) α) 0 (Zero.toOfNat0.{max (max (max u4 u3) u2) u1} (Matrix.{max u2 u4, max u2 u3, u1} (Prod.{u4, u2} m o) (Prod.{u3, u2} n o) α) (Matrix.zero.{u1, max u4 u2, max u3 u2} (Prod.{u4, u2} m o) (Prod.{u3, u2} n o) α _inst_2)))
 Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal_zero Matrix.blockDiagonal_zeroₓ'. -/
 @[simp]
 theorem blockDiagonal_zero : blockDiagonal (0 : o → Matrix m n α) = 0 :=
@@ -679,7 +691,7 @@ theorem blockDiagonal_diagonal [DecidableEq m] (d : o → m → α) :
 lean 3 declaration is
   forall {m : Type.{u1}} {o : Type.{u2}} {α : Type.{u3}} [_inst_1 : DecidableEq.{succ u2} o] [_inst_2 : Zero.{u3} α] [_inst_4 : DecidableEq.{succ u1} m] [_inst_5 : One.{u3} α], Eq.{succ (max (max u1 u2) u3)} (Matrix.{max u1 u2, max u1 u2, u3} (Prod.{u1, u2} m o) (Prod.{u1, u2} m o) α) (Matrix.blockDiagonal.{u1, u1, u2, u3} m m o α (fun (a : o) (b : o) => _inst_1 a b) _inst_2 (OfNat.ofNat.{max u2 u1 u3} (o -> (Matrix.{u1, u1, u3} m m α)) 1 (OfNat.mk.{max u2 u1 u3} (o -> (Matrix.{u1, u1, u3} m m α)) 1 (One.one.{max u2 u1 u3} (o -> (Matrix.{u1, u1, u3} m m α)) (Pi.instOne.{u2, max u1 u3} o (fun (ᾰ : o) => Matrix.{u1, u1, u3} m m α) (fun (i : o) => Matrix.hasOne.{u3, u1} m α (fun (a : m) (b : m) => _inst_4 a b) _inst_2 _inst_5)))))) (OfNat.ofNat.{max (max u1 u2) u3} (Matrix.{max u1 u2, max u1 u2, u3} (Prod.{u1, u2} m o) (Prod.{u1, u2} m o) α) 1 (OfNat.mk.{max (max u1 u2) u3} (Matrix.{max u1 u2, max u1 u2, u3} (Prod.{u1, u2} m o) (Prod.{u1, u2} m o) α) 1 (One.one.{max (max u1 u2) u3} (Matrix.{max u1 u2, max u1 u2, u3} (Prod.{u1, u2} m o) (Prod.{u1, u2} m o) α) (Matrix.hasOne.{u3, max u1 u2} (Prod.{u1, u2} m o) α (fun (a : Prod.{u1, u2} m o) (b : Prod.{u1, u2} m o) => Prod.decidableEq.{u1, u2} m o (fun (a : m) (b : m) => _inst_4 a b) (fun (a : o) (b : o) => _inst_1 a b) a b) _inst_2 _inst_5))))
 but is expected to have type
-  forall {m : Type.{u3}} {o : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} o] [_inst_2 : Zero.{u2} α] [_inst_4 : DecidableEq.{succ u3} m] [_inst_5 : One.{u2} α], Eq.{max (max (succ u3) (succ u1)) (succ u2)} (Matrix.{max u1 u3, max u1 u3, u2} (Prod.{u3, u1} m o) (Prod.{u3, u1} m o) α) (Matrix.blockDiagonal.{u3, u3, u1, u2} m m o α (fun (a : o) (b : o) => _inst_1 a b) _inst_2 (OfNat.ofNat.{max (max u3 u1) u2} (o -> (Matrix.{u3, u3, u2} m m α)) 1 (One.toOfNat1.{max (max u3 u1) u2} (o -> (Matrix.{u3, u3, u2} m m α)) (Pi.instOne.{u1, max u3 u2} o (fun (a._@.Mathlib.Data.Matrix.Block._hyg.4677 : o) => Matrix.{u3, u3, u2} m m α) (fun (i : o) => Matrix.one.{u2, u3} m α (fun (a : m) (b : m) => _inst_4 a b) _inst_2 _inst_5))))) (OfNat.ofNat.{max (max u3 u1) u2} (Matrix.{max u1 u3, max u1 u3, u2} (Prod.{u3, u1} m o) (Prod.{u3, u1} m o) α) 1 (One.toOfNat1.{max (max u3 u1) u2} (Matrix.{max u1 u3, max u1 u3, u2} (Prod.{u3, u1} m o) (Prod.{u3, u1} m o) α) (Matrix.one.{u2, max u3 u1} (Prod.{u3, u1} m o) α (fun (a : Prod.{u3, u1} m o) (b : Prod.{u3, u1} m o) => instDecidableEqProd.{u3, u1} m o (fun (a : m) (b : m) => _inst_4 a b) (fun (a : o) (b : o) => _inst_1 a b) a b) _inst_2 _inst_5)))
+  forall {m : Type.{u3}} {o : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} o] [_inst_2 : Zero.{u2} α] [_inst_4 : DecidableEq.{succ u3} m] [_inst_5 : One.{u2} α], Eq.{max (max (succ u3) (succ u1)) (succ u2)} (Matrix.{max u1 u3, max u1 u3, u2} (Prod.{u3, u1} m o) (Prod.{u3, u1} m o) α) (Matrix.blockDiagonal.{u3, u3, u1, u2} m m o α (fun (a : o) (b : o) => _inst_1 a b) _inst_2 (OfNat.ofNat.{max (max u3 u1) u2} (o -> (Matrix.{u3, u3, u2} m m α)) 1 (One.toOfNat1.{max (max u3 u1) u2} (o -> (Matrix.{u3, u3, u2} m m α)) (Pi.instOne.{u1, max u3 u2} o (fun (a._@.Mathlib.Data.Matrix.Block._hyg.4945 : o) => Matrix.{u3, u3, u2} m m α) (fun (i : o) => Matrix.one.{u2, u3} m α (fun (a : m) (b : m) => _inst_4 a b) _inst_2 _inst_5))))) (OfNat.ofNat.{max (max u3 u1) u2} (Matrix.{max u1 u3, max u1 u3, u2} (Prod.{u3, u1} m o) (Prod.{u3, u1} m o) α) 1 (One.toOfNat1.{max (max u3 u1) u2} (Matrix.{max u1 u3, max u1 u3, u2} (Prod.{u3, u1} m o) (Prod.{u3, u1} m o) α) (Matrix.one.{u2, max u3 u1} (Prod.{u3, u1} m o) α (fun (a : Prod.{u3, u1} m o) (b : Prod.{u3, u1} m o) => instDecidableEqProd.{u3, u1} m o (fun (a : m) (b : m) => _inst_4 a b) (fun (a : o) (b : o) => _inst_1 a b) a b) _inst_2 _inst_5)))
 Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal_one Matrix.blockDiagonal_oneₓ'. -/
 @[simp]
 theorem blockDiagonal_one [DecidableEq m] [One α] : blockDiagonal (1 : o → Matrix m m α) = 1 :=
@@ -800,7 +812,7 @@ theorem blockDiagonal_pow [DecidableEq m] [Fintype o] [Fintype m] [Semiring α]
 lean 3 declaration is
   forall {m : Type.{u1}} {n : Type.{u2}} {o : Type.{u3}} {α : Type.{u4}} [_inst_1 : DecidableEq.{succ u3} o] {R : Type.{u5}} [_inst_2 : Monoid.{u5} R] [_inst_3 : AddMonoid.{u4} α] [_inst_4 : DistribMulAction.{u5, u4} R α _inst_2 _inst_3] (x : R) (M : o -> (Matrix.{u1, u2, u4} m n α)), Eq.{succ (max (max u1 u3) (max u2 u3) u4)} (Matrix.{max u1 u3, max u2 u3, u4} (Prod.{u1, u3} m o) (Prod.{u2, u3} n o) α) (Matrix.blockDiagonal.{u1, u2, u3, u4} m n o α (fun (a : o) (b : o) => _inst_1 a b) (AddZeroClass.toHasZero.{u4} α (AddMonoid.toAddZeroClass.{u4} α _inst_3)) (SMul.smul.{u5, max u3 u1 u2 u4} R (o -> (Matrix.{u1, u2, u4} m n α)) (Function.hasSMul.{u3, u5, max u1 u2 u4} o R (Matrix.{u1, u2, u4} m n α) (Matrix.hasSmul.{u4, u1, u2, u5} m n R α (SMulZeroClass.toHasSmul.{u5, u4} R α (AddZeroClass.toHasZero.{u4} α (AddMonoid.toAddZeroClass.{u4} α _inst_3)) (DistribSMul.toSmulZeroClass.{u5, u4} R α (AddMonoid.toAddZeroClass.{u4} α _inst_3) (DistribMulAction.toDistribSMul.{u5, u4} R α _inst_2 _inst_3 _inst_4))))) x M)) (SMul.smul.{u5, max (max u1 u3) (max u2 u3) u4} R (Matrix.{max u1 u3, max u2 u3, u4} (Prod.{u1, u3} m o) (Prod.{u2, u3} n o) α) (Matrix.hasSmul.{u4, max u1 u3, max u2 u3, u5} (Prod.{u1, u3} m o) (Prod.{u2, u3} n o) R α (SMulZeroClass.toHasSmul.{u5, u4} R α (AddZeroClass.toHasZero.{u4} α (AddMonoid.toAddZeroClass.{u4} α _inst_3)) (DistribSMul.toSmulZeroClass.{u5, u4} R α (AddMonoid.toAddZeroClass.{u4} α _inst_3) (DistribMulAction.toDistribSMul.{u5, u4} R α _inst_2 _inst_3 _inst_4)))) x (Matrix.blockDiagonal.{u1, u2, u3, u4} m n o α (fun (a : o) (b : o) => _inst_1 a b) (AddZeroClass.toHasZero.{u4} α (AddMonoid.toAddZeroClass.{u4} α _inst_3)) M))
 but is expected to have type
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+  forall {m : Type.{u3}} {n : Type.{u2}} {o : Type.{u1}} {α : Type.{u4}} [_inst_1 : DecidableEq.{succ u1} o] {R : Type.{u5}} [_inst_2 : Monoid.{u5} R] [_inst_3 : AddMonoid.{u4} α] [_inst_4 : DistribMulAction.{u5, u4} R α _inst_2 _inst_3] (x : R) (M : o -> (Matrix.{u3, u2, u4} m n α)), Eq.{max (max (max (succ u3) (succ u2)) (succ u1)) (succ u4)} (Matrix.{max u1 u3, max u1 u2, u4} (Prod.{u3, u1} m o) (Prod.{u2, u1} n o) α) (Matrix.blockDiagonal.{u3, u2, u1, u4} m n o α (fun (a : o) (b : o) => _inst_1 a b) (AddMonoid.toZero.{u4} α _inst_3) (HSMul.hSMul.{u5, max (max (max u3 u2) u1) u4, max (max (max u3 u2) u1) u4} R (o -> (Matrix.{u3, u2, u4} m n α)) (o -> (Matrix.{u3, u2, u4} m n α)) (instHSMul.{u5, max (max (max u3 u2) u1) u4} R (o -> (Matrix.{u3, u2, u4} m n α)) (Pi.instSMul.{u1, max (max u3 u2) u4, u5} o R (fun (a._@.Mathlib.Data.Matrix.Block._hyg.5611 : o) => Matrix.{u3, u2, u4} m n α) (fun (i : o) => Matrix.smul.{u4, u3, u2, u5} m n R α (SMulZeroClass.toSMul.{u5, u4} R α (AddMonoid.toZero.{u4} α _inst_3) (DistribSMul.toSMulZeroClass.{u5, u4} R α (AddMonoid.toAddZeroClass.{u4} α _inst_3) (DistribMulAction.toDistribSMul.{u5, u4} R α _inst_2 _inst_3 _inst_4)))))) x M)) (HSMul.hSMul.{u5, max (max (max u4 u1) u2) u3, max (max (max u3 u2) u1) u4} R (Matrix.{max u1 u3, max u1 u2, u4} (Prod.{u3, u1} m o) (Prod.{u2, u1} n o) α) (Matrix.{max u1 u3, max u1 u2, u4} (Prod.{u3, u1} m o) (Prod.{u2, u1} n o) α) (instHSMul.{u5, max (max (max u3 u2) u1) u4} R (Matrix.{max u1 u3, max u1 u2, u4} (Prod.{u3, u1} m o) (Prod.{u2, u1} n o) α) (Matrix.smul.{u4, max u3 u1, max u2 u1, u5} (Prod.{u3, u1} m o) (Prod.{u2, u1} n o) R α (SMulZeroClass.toSMul.{u5, u4} R α (AddMonoid.toZero.{u4} α _inst_3) (DistribSMul.toSMulZeroClass.{u5, u4} R α (AddMonoid.toAddZeroClass.{u4} α _inst_3) (DistribMulAction.toDistribSMul.{u5, u4} R α _inst_2 _inst_3 _inst_4))))) x (Matrix.blockDiagonal.{u3, u2, u1, u4} m n o α (fun (a : o) (b : o) => _inst_1 a b) (AddMonoid.toZero.{u4} α _inst_3) M))
 Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal_smul Matrix.blockDiagonal_smulₓ'. -/
 @[simp]
 theorem blockDiagonal_smul {R : Type _} [Monoid R] [AddMonoid α] [DistribMulAction R α] (x : R)
@@ -914,11 +926,23 @@ theorem blockDiag_blockDiagonal [DecidableEq o] (M : o → Matrix m n α) :
   funext fun k => ext fun i j => blockDiagonal_apply_eq M i j _
 #align matrix.block_diag_block_diagonal Matrix.blockDiag_blockDiagonal
 
+/- warning: matrix.block_diagonal_injective -> Matrix.blockDiagonal_injective is a dubious translation:
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal_injective Matrix.blockDiagonal_injectiveₓ'. -/
 theorem blockDiagonal_injective [DecidableEq o] :
     Function.Injective (blockDiagonal : (o → Matrix m n α) → Matrix _ _ α) :=
   Function.LeftInverse.injective blockDiag_blockDiagonal
 #align matrix.block_diagonal_injective Matrix.blockDiagonal_injective
 
+/- warning: matrix.block_diagonal_inj -> Matrix.blockDiagonal_inj is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal_inj Matrix.blockDiagonal_injₓ'. -/
 @[simp]
 theorem blockDiagonal_inj [DecidableEq o] {M N : o → Matrix m n α} :
     blockDiagonal M = blockDiagonal N ↔ M = N :=
@@ -1419,11 +1443,23 @@ theorem blockDiag'_blockDiagonal' [DecidableEq o] (M : ∀ i, Matrix (m' i) (n'
   funext fun k => ext fun i j => blockDiagonal'_apply_eq M _ _ _
 #align matrix.block_diag'_block_diagonal' Matrix.blockDiag'_blockDiagonal'
 
+/- warning: matrix.block_diagonal'_injective -> Matrix.blockDiagonal'_injective is a dubious translation:
+lean 3 declaration is
+  forall {o : Type.{u1}} {m' : o -> Type.{u2}} {n' : o -> Type.{u3}} {α : Type.{u4}} [_inst_1 : Zero.{u4} α] [_inst_3 : DecidableEq.{succ u1} o], Function.Injective.{max (succ u1) (succ (max u2 u3 u4)), succ (max (max u1 u2) (max u1 u3) u4)} (forall (i : o), Matrix.{u2, u3, u4} (m' i) (n' i) α) (Matrix.{max u1 u2, max u1 u3, u4} (Sigma.{u1, u2} o (fun (i : o) => m' i)) (Sigma.{u1, u3} o (fun (i : o) => n' i)) α) (Matrix.blockDiagonal'.{u1, u2, u3, u4} o (fun (i : o) => m' i) (fun (i : o) => n' i) α (fun (a : o) (b : o) => _inst_3 a b) _inst_1)
+but is expected to have type
+  forall {o : Type.{u4}} {m' : o -> Type.{u3}} {n' : o -> Type.{u2}} {α : Type.{u1}} [_inst_1 : Zero.{u1} α] [_inst_3 : DecidableEq.{succ u4} o], Function.Injective.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1)} (forall (i : o), Matrix.{u3, u2, u1} (m' i) (n' i) α) (Matrix.{max u3 u4, max u2 u4, u1} (Sigma.{u4, u3} o (fun (i : o) => m' i)) (Sigma.{u4, u2} o (fun (i : o) => n' i)) α) (Matrix.blockDiagonal'.{u4, u3, u2, u1} o (fun (i : o) => m' i) (fun (i : o) => n' i) α (fun (a : o) (b : o) => _inst_3 a b) _inst_1)
+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal'_injective Matrix.blockDiagonal'_injectiveₓ'. -/
 theorem blockDiagonal'_injective [DecidableEq o] :
     Function.Injective (blockDiagonal' : (∀ i, Matrix (m' i) (n' i) α) → Matrix _ _ α) :=
   Function.LeftInverse.injective blockDiag'_blockDiagonal'
 #align matrix.block_diagonal'_injective Matrix.blockDiagonal'_injective
 
+/- warning: matrix.block_diagonal'_inj -> Matrix.blockDiagonal'_inj is a dubious translation:
+lean 3 declaration is
+  forall {o : Type.{u1}} {m' : o -> Type.{u2}} {n' : o -> Type.{u3}} {α : Type.{u4}} [_inst_1 : Zero.{u4} α] [_inst_3 : DecidableEq.{succ u1} o] {M : forall (i : o), Matrix.{u2, u3, u4} (m' i) (n' i) α} {N : forall (i : o), Matrix.{u2, u3, u4} (m' i) (n' i) α}, Iff (Eq.{succ (max (max u1 u2) (max u1 u3) u4)} (Matrix.{max u1 u2, max u1 u3, u4} (Sigma.{u1, u2} o (fun (i : o) => m' i)) (Sigma.{u1, u3} o (fun (i : o) => n' i)) α) (Matrix.blockDiagonal'.{u1, u2, u3, u4} o (fun (i : o) => m' i) (fun (i : o) => n' i) α (fun (a : o) (b : o) => _inst_3 a b) _inst_1 M) (Matrix.blockDiagonal'.{u1, u2, u3, u4} o (fun (i : o) => m' i) (fun (i : o) => n' i) α (fun (a : o) (b : o) => _inst_3 a b) _inst_1 N)) (Eq.{max (succ u1) (succ (max u2 u3 u4))} (forall (i : o), Matrix.{u2, u3, u4} (m' i) (n' i) α) M N)
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal'_inj Matrix.blockDiagonal'_injₓ'. -/
 @[simp]
 theorem blockDiagonal'_inj [DecidableEq o] {M N : ∀ i, Matrix (m' i) (n' i) α} :
     blockDiagonal' M = blockDiagonal' N ↔ M = N :=
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Ellen Arlt, Blair Shi, Sean Leather, Mario Carneiro, Johan Commelin
 
 ! This file was ported from Lean 3 source module data.matrix.block
-! leanprover-community/mathlib commit eba5bb3155cab51d80af00e8d7d69fa271b1302b
+! leanprover-community/mathlib commit b5665fd3fb2a80ee05ff42b6031ef2055b8f9d85
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -200,6 +200,22 @@ theorem toBlocks_fromBlocks₂₂ (A : Matrix n l α) (B : Matrix n m α) (C : M
   rfl
 #align matrix.to_blocks_from_blocks₂₂ Matrix.toBlocks_fromBlocks₂₂
 
+/-- Two block matrices are equal if their blocks are equal. -/
+theorem ext_iff_blocks {A B : Matrix (Sum n o) (Sum l m) α} :
+    A = B ↔
+      A.toBlocks₁₁ = B.toBlocks₁₁ ∧
+        A.toBlocks₁₂ = B.toBlocks₁₂ ∧ A.toBlocks₂₁ = B.toBlocks₂₁ ∧ A.toBlocks₂₂ = B.toBlocks₂₂ :=
+  ⟨fun h => h ▸ ⟨rfl, rfl, rfl, rfl⟩, fun ⟨h₁₁, h₁₂, h₂₁, h₂₂⟩ => by
+    rw [← from_blocks_to_blocks A, ← from_blocks_to_blocks B, h₁₁, h₁₂, h₂₁, h₂₂]⟩
+#align matrix.ext_iff_blocks Matrix.ext_iff_blocks
+
+@[simp]
+theorem fromBlocks_inj {A : Matrix n l α} {B : Matrix n m α} {C : Matrix o l α} {D : Matrix o m α}
+    {A' : Matrix n l α} {B' : Matrix n m α} {C' : Matrix o l α} {D' : Matrix o m α} :
+    fromBlocks A B C D = fromBlocks A' B' C' D' ↔ A = A' ∧ B = B' ∧ C = C' ∧ D = D' :=
+  ext_iff_blocks
+#align matrix.from_blocks_inj Matrix.fromBlocks_inj
+
 /- warning: matrix.from_blocks_map -> Matrix.fromBlocks_map is a dubious translation:
 lean 3 declaration is
   forall {l : Type.{u1}} {m : Type.{u2}} {n : Type.{u3}} {o : Type.{u4}} {α : Type.{u5}} {β : Type.{u6}} (A : Matrix.{u3, u1, u5} n l α) (B : Matrix.{u3, u2, u5} n m α) (C : Matrix.{u4, u1, u5} o l α) (D : Matrix.{u4, u2, u5} o m α) (f : α -> β), Eq.{succ (max (max u3 u4) (max u1 u2) u6)} (Matrix.{max u3 u4, max u1 u2, u6} (Sum.{u3, u4} n o) (Sum.{u1, u2} l m) β) (Matrix.map.{u5, u6, max u3 u4, max u1 u2} (Sum.{u3, u4} n o) (Sum.{u1, u2} l m) α β (Matrix.fromBlocks.{u1, u2, u3, u4, u5} l m n o α A B C D) f) (Matrix.fromBlocks.{u1, u2, u3, u4, u6} l m n o β (Matrix.map.{u5, u6, u3, u1} n l α β A f) (Matrix.map.{u5, u6, u3, u2} n m α β B f) (Matrix.map.{u5, u6, u4, u1} o l α β C f) (Matrix.map.{u5, u6, u4, u2} o m α β D f))
@@ -898,6 +914,17 @@ theorem blockDiag_blockDiagonal [DecidableEq o] (M : o → Matrix m n α) :
   funext fun k => ext fun i j => blockDiagonal_apply_eq M i j _
 #align matrix.block_diag_block_diagonal Matrix.blockDiag_blockDiagonal
 
+theorem blockDiagonal_injective [DecidableEq o] :
+    Function.Injective (blockDiagonal : (o → Matrix m n α) → Matrix _ _ α) :=
+  Function.LeftInverse.injective blockDiag_blockDiagonal
+#align matrix.block_diagonal_injective Matrix.blockDiagonal_injective
+
+@[simp]
+theorem blockDiagonal_inj [DecidableEq o] {M N : o → Matrix m n α} :
+    blockDiagonal M = blockDiagonal N ↔ M = N :=
+  blockDiagonal_injective.eq_iff
+#align matrix.block_diagonal_inj Matrix.blockDiagonal_inj
+
 /- warning: matrix.block_diag_one -> Matrix.blockDiag_one is a dubious translation:
 lean 3 declaration is
   forall {m : Type.{u1}} {o : Type.{u2}} {α : Type.{u3}} [_inst_1 : Zero.{u3} α] [_inst_3 : DecidableEq.{succ u2} o] [_inst_4 : DecidableEq.{succ u1} m] [_inst_5 : One.{u3} α], Eq.{max (succ u2) (succ (max u1 u3))} (o -> (Matrix.{u1, u1, u3} m m α)) (Matrix.blockDiag.{u1, u1, u2, u3} m m o α (OfNat.ofNat.{max (max u1 u2) u3} (Matrix.{max u1 u2, max u1 u2, u3} (Prod.{u1, u2} m o) (Prod.{u1, u2} m o) α) 1 (OfNat.mk.{max (max u1 u2) u3} (Matrix.{max u1 u2, max u1 u2, u3} (Prod.{u1, u2} m o) (Prod.{u1, u2} m o) α) 1 (One.one.{max (max u1 u2) u3} (Matrix.{max u1 u2, max u1 u2, u3} (Prod.{u1, u2} m o) (Prod.{u1, u2} m o) α) (Matrix.hasOne.{u3, max u1 u2} (Prod.{u1, u2} m o) α (fun (a : Prod.{u1, u2} m o) (b : Prod.{u1, u2} m o) => Prod.decidableEq.{u1, u2} m o (fun (a : m) (b : m) => _inst_4 a b) (fun (a : o) (b : o) => _inst_3 a b) a b) _inst_1 _inst_5))))) (OfNat.ofNat.{max u2 u1 u3} (o -> (Matrix.{u1, u1, u3} m m α)) 1 (OfNat.mk.{max u2 u1 u3} (o -> (Matrix.{u1, u1, u3} m m α)) 1 (One.one.{max u2 u1 u3} (o -> (Matrix.{u1, u1, u3} m m α)) (Pi.instOne.{u2, max u1 u3} o (fun (k : o) => Matrix.{u1, u1, u3} m m α) (fun (i : o) => Matrix.hasOne.{u3, u1} m α (fun (a : m) (b : m) => _inst_4 a b) _inst_1 _inst_5)))))
@@ -1392,6 +1419,17 @@ theorem blockDiag'_blockDiagonal' [DecidableEq o] (M : ∀ i, Matrix (m' i) (n'
   funext fun k => ext fun i j => blockDiagonal'_apply_eq M _ _ _
 #align matrix.block_diag'_block_diagonal' Matrix.blockDiag'_blockDiagonal'
 
+theorem blockDiagonal'_injective [DecidableEq o] :
+    Function.Injective (blockDiagonal' : (∀ i, Matrix (m' i) (n' i) α) → Matrix _ _ α) :=
+  Function.LeftInverse.injective blockDiag'_blockDiagonal'
+#align matrix.block_diagonal'_injective Matrix.blockDiagonal'_injective
+
+@[simp]
+theorem blockDiagonal'_inj [DecidableEq o] {M N : ∀ i, Matrix (m' i) (n' i) α} :
+    blockDiagonal' M = blockDiagonal' N ↔ M = N :=
+  blockDiagonal'_injective.eq_iff
+#align matrix.block_diagonal'_inj Matrix.blockDiagonal'_inj
+
 /- warning: matrix.block_diag'_one -> Matrix.blockDiag'_one is a dubious translation:
 lean 3 declaration is
   forall {o : Type.{u1}} {m' : o -> Type.{u2}} {α : Type.{u3}} [_inst_1 : Zero.{u3} α] [_inst_3 : DecidableEq.{succ u1} o] [_inst_4 : forall (i : o), DecidableEq.{succ u2} (m' i)] [_inst_5 : One.{u3} α], Eq.{max (succ u1) (succ (max u2 u3))} (forall (k : o), Matrix.{u2, u2, u3} (m' k) (m' k) α) (Matrix.blockDiag'.{u1, u2, u2, u3} o (fun (i : o) => m' i) (fun (i : o) => m' i) α (OfNat.ofNat.{max (max u1 u2) u3} (Matrix.{max u1 u2, max u1 u2, u3} (Sigma.{u1, u2} o (fun (i : o) => m' i)) (Sigma.{u1, u2} o (fun (i : o) => m' i)) α) 1 (OfNat.mk.{max (max u1 u2) u3} (Matrix.{max u1 u2, max u1 u2, u3} (Sigma.{u1, u2} o (fun (i : o) => m' i)) (Sigma.{u1, u2} o (fun (i : o) => m' i)) α) 1 (One.one.{max (max u1 u2) u3} (Matrix.{max u1 u2, max u1 u2, u3} (Sigma.{u1, u2} o (fun (i : o) => m' i)) (Sigma.{u1, u2} o (fun (i : o) => m' i)) α) (Matrix.hasOne.{u3, max u1 u2} (Sigma.{u1, u2} o (fun (i : o) => m' i)) α (fun (a : Sigma.{u1, u2} o (fun (i : o) => m' i)) (b : Sigma.{u1, u2} o (fun (i : o) => m' i)) => Sigma.decidableEq.{u1, u2} o (fun (i : o) => m' i) (fun (a : o) (b : o) => _inst_3 a b) (fun (a : o) (a_1 : m' a) (b : m' a) => _inst_4 a a_1 b) a b) _inst_1 _inst_5))))) (OfNat.ofNat.{max u1 u2 u3} (forall (k : o), Matrix.{u2, u2, u3} (m' k) (m' k) α) 1 (OfNat.mk.{max u1 u2 u3} (forall (k : o), Matrix.{u2, u2, u3} (m' k) (m' k) α) 1 (One.one.{max u1 u2 u3} (forall (k : o), Matrix.{u2, u2, u3} (m' k) (m' k) α) (Pi.instOne.{u1, max u2 u3} o (fun (k : o) => Matrix.{u2, u2, u3} (m' k) (m' k) α) (fun (i : o) => Matrix.hasOne.{u3, u2} (m' i) α (fun (a : m' i) (b : m' i) => _inst_4 i a b) _inst_1 _inst_5)))))
Diff
@@ -38,6 +38,12 @@ open BigOperators Matrix
 
 namespace Matrix
 
+/- warning: matrix.dot_product_block -> Matrix.dotProduct_block is a dubious translation:
+lean 3 declaration is
+  forall {m : Type.{u1}} {n : Type.{u2}} {α : Type.{u3}} [_inst_1 : Fintype.{u1} m] [_inst_2 : Fintype.{u2} n] [_inst_3 : Mul.{u3} α] [_inst_4 : AddCommMonoid.{u3} α] (v : (Sum.{u1, u2} m n) -> α) (w : (Sum.{u1, u2} m n) -> α), Eq.{succ u3} α (Matrix.dotProduct.{u3, max u1 u2} (Sum.{u1, u2} m n) α (Sum.fintype.{u1, u2} m n _inst_1 _inst_2) _inst_3 _inst_4 v w) (HAdd.hAdd.{u3, u3, u3} α α α (instHAdd.{u3} α (AddZeroClass.toHasAdd.{u3} α (AddMonoid.toAddZeroClass.{u3} α (AddCommMonoid.toAddMonoid.{u3} α _inst_4)))) (Matrix.dotProduct.{u3, u1} m α _inst_1 _inst_3 _inst_4 (Function.comp.{succ u1, max (succ u1) (succ u2), succ u3} m (Sum.{u1, u2} m n) α v (Sum.inl.{u1, u2} m n)) (Function.comp.{succ u1, max (succ u1) (succ u2), succ u3} m (Sum.{u1, u2} m n) α w (Sum.inl.{u1, u2} m n))) (Matrix.dotProduct.{u3, u2} n α _inst_2 _inst_3 _inst_4 (Function.comp.{succ u2, max (succ u1) (succ u2), succ u3} n (Sum.{u1, u2} m n) α v (Sum.inr.{u1, u2} m n)) (Function.comp.{succ u2, max (succ u1) (succ u2), succ u3} n (Sum.{u1, u2} m n) α w (Sum.inr.{u1, u2} m n))))
+but is expected to have type
+  forall {m : Type.{u3}} {n : Type.{u2}} {α : Type.{u1}} [_inst_1 : Fintype.{u3} m] [_inst_2 : Fintype.{u2} n] [_inst_3 : Mul.{u1} α] [_inst_4 : AddCommMonoid.{u1} α] (v : (Sum.{u3, u2} m n) -> α) (w : (Sum.{u3, u2} m n) -> α), Eq.{succ u1} α (Matrix.dotProduct.{u1, max u3 u2} (Sum.{u3, u2} m n) α (instFintypeSum.{u3, u2} m n _inst_1 _inst_2) _inst_3 _inst_4 v w) (HAdd.hAdd.{u1, u1, u1} α α α (instHAdd.{u1} α (AddZeroClass.toAdd.{u1} α (AddMonoid.toAddZeroClass.{u1} α (AddCommMonoid.toAddMonoid.{u1} α _inst_4)))) (Matrix.dotProduct.{u1, u3} m α _inst_1 _inst_3 _inst_4 (Function.comp.{succ u3, max (succ u3) (succ u2), succ u1} m (Sum.{u3, u2} m n) α v (Sum.inl.{u3, u2} m n)) (Function.comp.{succ u3, max (succ u3) (succ u2), succ u1} m (Sum.{u3, u2} m n) α w (Sum.inl.{u3, u2} m n))) (Matrix.dotProduct.{u1, u2} n α _inst_2 _inst_3 _inst_4 (Function.comp.{succ u2, max (succ u3) (succ u2), succ u1} n (Sum.{u3, u2} m n) α v (Sum.inr.{u3, u2} m n)) (Function.comp.{succ u2, max (succ u3) (succ u2), succ u1} n (Sum.{u3, u2} m n) α w (Sum.inr.{u3, u2} m n))))
+Case conversion may be inaccurate. Consider using '#align matrix.dot_product_block Matrix.dotProduct_blockₓ'. -/
 theorem dotProduct_block [Fintype m] [Fintype n] [Mul α] [AddCommMonoid α] (v w : Sum m n → α) :
     v ⬝ᵥ w = v ∘ Sum.inl ⬝ᵥ w ∘ Sum.inl + v ∘ Sum.inr ⬝ᵥ w ∘ Sum.inr :=
   Fintype.sum_sum_type _
@@ -628,7 +634,7 @@ theorem blockDiagonal_conjTranspose {α : Type _} [AddMonoid α] [StarAddMonoid
 lean 3 declaration is
   forall {m : Type.{u1}} {n : Type.{u2}} {o : Type.{u3}} {α : Type.{u4}} [_inst_1 : DecidableEq.{succ u3} o] [_inst_2 : Zero.{u4} α], Eq.{succ (max (max u1 u3) (max u2 u3) u4)} (Matrix.{max u1 u3, max u2 u3, u4} (Prod.{u1, u3} m o) (Prod.{u2, u3} n o) α) (Matrix.blockDiagonal.{u1, u2, u3, u4} m n o α (fun (a : o) (b : o) => _inst_1 a b) _inst_2 (OfNat.ofNat.{max u3 u1 u2 u4} (o -> (Matrix.{u1, u2, u4} m n α)) 0 (OfNat.mk.{max u3 u1 u2 u4} (o -> (Matrix.{u1, u2, u4} m n α)) 0 (Zero.zero.{max u3 u1 u2 u4} (o -> (Matrix.{u1, u2, u4} m n α)) (Pi.instZero.{u3, max u1 u2 u4} o (fun (ᾰ : o) => Matrix.{u1, u2, u4} m n α) (fun (i : o) => Matrix.hasZero.{u4, u1, u2} m n α _inst_2)))))) (OfNat.ofNat.{max (max u1 u3) (max u2 u3) u4} (Matrix.{max u1 u3, max u2 u3, u4} (Prod.{u1, u3} m o) (Prod.{u2, u3} n o) α) 0 (OfNat.mk.{max (max u1 u3) (max u2 u3) u4} (Matrix.{max u1 u3, max u2 u3, u4} (Prod.{u1, u3} m o) (Prod.{u2, u3} n o) α) 0 (Zero.zero.{max (max u1 u3) (max u2 u3) u4} (Matrix.{max u1 u3, max u2 u3, u4} (Prod.{u1, u3} m o) (Prod.{u2, u3} n o) α) (Matrix.hasZero.{u4, max u1 u3, max u2 u3} (Prod.{u1, u3} m o) (Prod.{u2, u3} n o) α _inst_2))))
 but is expected to have type
-  forall {m : Type.{u4}} {n : Type.{u3}} {o : Type.{u2}} {α : Type.{u1}} [_inst_1 : DecidableEq.{succ u2} o] [_inst_2 : Zero.{u1} α], Eq.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1)} (Matrix.{max u2 u4, max u2 u3, u1} (Prod.{u4, u2} m o) (Prod.{u3, u2} n o) α) (Matrix.blockDiagonal.{u4, u3, u2, u1} m n o α (fun (a : o) (b : o) => _inst_1 a b) _inst_2 (OfNat.ofNat.{max (max (max u4 u3) u2) u1} (o -> (Matrix.{u4, u3, u1} m n α)) 0 (Zero.toOfNat0.{max (max (max u4 u3) u2) u1} (o -> (Matrix.{u4, u3, u1} m n α)) (Pi.instZero.{u2, max (max u4 u3) u1} o (fun (a._@.Mathlib.Data.Matrix.Block._hyg.4447 : o) => Matrix.{u4, u3, u1} m n α) (fun (i : o) => Matrix.zero.{u1, u4, u3} m n α _inst_2))))) (OfNat.ofNat.{max (max (max u4 u3) u2) u1} (Matrix.{max u2 u4, max u2 u3, u1} (Prod.{u4, u2} m o) (Prod.{u3, u2} n o) α) 0 (Zero.toOfNat0.{max (max (max u4 u3) u2) u1} (Matrix.{max u2 u4, max u2 u3, u1} (Prod.{u4, u2} m o) (Prod.{u3, u2} n o) α) (Matrix.zero.{u1, max u4 u2, max u3 u2} (Prod.{u4, u2} m o) (Prod.{u3, u2} n o) α _inst_2)))
+  forall {m : Type.{u4}} {n : Type.{u3}} {o : Type.{u2}} {α : Type.{u1}} [_inst_1 : DecidableEq.{succ u2} o] [_inst_2 : Zero.{u1} α], Eq.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1)} (Matrix.{max u2 u4, max u2 u3, u1} (Prod.{u4, u2} m o) (Prod.{u3, u2} n o) α) (Matrix.blockDiagonal.{u4, u3, u2, u1} m n o α (fun (a : o) (b : o) => _inst_1 a b) _inst_2 (OfNat.ofNat.{max (max (max u4 u3) u2) u1} (o -> (Matrix.{u4, u3, u1} m n α)) 0 (Zero.toOfNat0.{max (max (max u4 u3) u2) u1} (o -> (Matrix.{u4, u3, u1} m n α)) (Pi.instZero.{u2, max (max u4 u3) u1} o (fun (a._@.Mathlib.Data.Matrix.Block._hyg.4524 : o) => Matrix.{u4, u3, u1} m n α) (fun (i : o) => Matrix.zero.{u1, u4, u3} m n α _inst_2))))) (OfNat.ofNat.{max (max (max u4 u3) u2) u1} (Matrix.{max u2 u4, max u2 u3, u1} (Prod.{u4, u2} m o) (Prod.{u3, u2} n o) α) 0 (Zero.toOfNat0.{max (max (max u4 u3) u2) u1} (Matrix.{max u2 u4, max u2 u3, u1} (Prod.{u4, u2} m o) (Prod.{u3, u2} n o) α) (Matrix.zero.{u1, max u4 u2, max u3 u2} (Prod.{u4, u2} m o) (Prod.{u3, u2} n o) α _inst_2)))
 Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal_zero Matrix.blockDiagonal_zeroₓ'. -/
 @[simp]
 theorem blockDiagonal_zero : blockDiagonal (0 : o → Matrix m n α) = 0 :=
@@ -657,7 +663,7 @@ theorem blockDiagonal_diagonal [DecidableEq m] (d : o → m → α) :
 lean 3 declaration is
   forall {m : Type.{u1}} {o : Type.{u2}} {α : Type.{u3}} [_inst_1 : DecidableEq.{succ u2} o] [_inst_2 : Zero.{u3} α] [_inst_4 : DecidableEq.{succ u1} m] [_inst_5 : One.{u3} α], Eq.{succ (max (max u1 u2) u3)} (Matrix.{max u1 u2, max u1 u2, u3} (Prod.{u1, u2} m o) (Prod.{u1, u2} m o) α) (Matrix.blockDiagonal.{u1, u1, u2, u3} m m o α (fun (a : o) (b : o) => _inst_1 a b) _inst_2 (OfNat.ofNat.{max u2 u1 u3} (o -> (Matrix.{u1, u1, u3} m m α)) 1 (OfNat.mk.{max u2 u1 u3} (o -> (Matrix.{u1, u1, u3} m m α)) 1 (One.one.{max u2 u1 u3} (o -> (Matrix.{u1, u1, u3} m m α)) (Pi.instOne.{u2, max u1 u3} o (fun (ᾰ : o) => Matrix.{u1, u1, u3} m m α) (fun (i : o) => Matrix.hasOne.{u3, u1} m α (fun (a : m) (b : m) => _inst_4 a b) _inst_2 _inst_5)))))) (OfNat.ofNat.{max (max u1 u2) u3} (Matrix.{max u1 u2, max u1 u2, u3} (Prod.{u1, u2} m o) (Prod.{u1, u2} m o) α) 1 (OfNat.mk.{max (max u1 u2) u3} (Matrix.{max u1 u2, max u1 u2, u3} (Prod.{u1, u2} m o) (Prod.{u1, u2} m o) α) 1 (One.one.{max (max u1 u2) u3} (Matrix.{max u1 u2, max u1 u2, u3} (Prod.{u1, u2} m o) (Prod.{u1, u2} m o) α) (Matrix.hasOne.{u3, max u1 u2} (Prod.{u1, u2} m o) α (fun (a : Prod.{u1, u2} m o) (b : Prod.{u1, u2} m o) => Prod.decidableEq.{u1, u2} m o (fun (a : m) (b : m) => _inst_4 a b) (fun (a : o) (b : o) => _inst_1 a b) a b) _inst_2 _inst_5))))
 but is expected to have type
-  forall {m : Type.{u3}} {o : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} o] [_inst_2 : Zero.{u2} α] [_inst_4 : DecidableEq.{succ u3} m] [_inst_5 : One.{u2} α], Eq.{max (max (succ u3) (succ u1)) (succ u2)} (Matrix.{max u1 u3, max u1 u3, u2} (Prod.{u3, u1} m o) (Prod.{u3, u1} m o) α) (Matrix.blockDiagonal.{u3, u3, u1, u2} m m o α (fun (a : o) (b : o) => _inst_1 a b) _inst_2 (OfNat.ofNat.{max (max u3 u1) u2} (o -> (Matrix.{u3, u3, u2} m m α)) 1 (One.toOfNat1.{max (max u3 u1) u2} (o -> (Matrix.{u3, u3, u2} m m α)) (Pi.instOne.{u1, max u3 u2} o (fun (a._@.Mathlib.Data.Matrix.Block._hyg.4600 : o) => Matrix.{u3, u3, u2} m m α) (fun (i : o) => Matrix.one.{u2, u3} m α (fun (a : m) (b : m) => _inst_4 a b) _inst_2 _inst_5))))) (OfNat.ofNat.{max (max u3 u1) u2} (Matrix.{max u1 u3, max u1 u3, u2} (Prod.{u3, u1} m o) (Prod.{u3, u1} m o) α) 1 (One.toOfNat1.{max (max u3 u1) u2} (Matrix.{max u1 u3, max u1 u3, u2} (Prod.{u3, u1} m o) (Prod.{u3, u1} m o) α) (Matrix.one.{u2, max u3 u1} (Prod.{u3, u1} m o) α (fun (a : Prod.{u3, u1} m o) (b : Prod.{u3, u1} m o) => instDecidableEqProd.{u3, u1} m o (fun (a : m) (b : m) => _inst_4 a b) (fun (a : o) (b : o) => _inst_1 a b) a b) _inst_2 _inst_5)))
+  forall {m : Type.{u3}} {o : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} o] [_inst_2 : Zero.{u2} α] [_inst_4 : DecidableEq.{succ u3} m] [_inst_5 : One.{u2} α], Eq.{max (max (succ u3) (succ u1)) (succ u2)} (Matrix.{max u1 u3, max u1 u3, u2} (Prod.{u3, u1} m o) (Prod.{u3, u1} m o) α) (Matrix.blockDiagonal.{u3, u3, u1, u2} m m o α (fun (a : o) (b : o) => _inst_1 a b) _inst_2 (OfNat.ofNat.{max (max u3 u1) u2} (o -> (Matrix.{u3, u3, u2} m m α)) 1 (One.toOfNat1.{max (max u3 u1) u2} (o -> (Matrix.{u3, u3, u2} m m α)) (Pi.instOne.{u1, max u3 u2} o (fun (a._@.Mathlib.Data.Matrix.Block._hyg.4677 : o) => Matrix.{u3, u3, u2} m m α) (fun (i : o) => Matrix.one.{u2, u3} m α (fun (a : m) (b : m) => _inst_4 a b) _inst_2 _inst_5))))) (OfNat.ofNat.{max (max u3 u1) u2} (Matrix.{max u1 u3, max u1 u3, u2} (Prod.{u3, u1} m o) (Prod.{u3, u1} m o) α) 1 (One.toOfNat1.{max (max u3 u1) u2} (Matrix.{max u1 u3, max u1 u3, u2} (Prod.{u3, u1} m o) (Prod.{u3, u1} m o) α) (Matrix.one.{u2, max u3 u1} (Prod.{u3, u1} m o) α (fun (a : Prod.{u3, u1} m o) (b : Prod.{u3, u1} m o) => instDecidableEqProd.{u3, u1} m o (fun (a : m) (b : m) => _inst_4 a b) (fun (a : o) (b : o) => _inst_1 a b) a b) _inst_2 _inst_5)))
 Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal_one Matrix.blockDiagonal_oneₓ'. -/
 @[simp]
 theorem blockDiagonal_one [DecidableEq m] [One α] : blockDiagonal (1 : o → Matrix m m α) = 1 :=
@@ -778,7 +784,7 @@ theorem blockDiagonal_pow [DecidableEq m] [Fintype o] [Fintype m] [Semiring α]
 lean 3 declaration is
   forall {m : Type.{u1}} {n : Type.{u2}} {o : Type.{u3}} {α : Type.{u4}} [_inst_1 : DecidableEq.{succ u3} o] {R : Type.{u5}} [_inst_2 : Monoid.{u5} R] [_inst_3 : AddMonoid.{u4} α] [_inst_4 : DistribMulAction.{u5, u4} R α _inst_2 _inst_3] (x : R) (M : o -> (Matrix.{u1, u2, u4} m n α)), Eq.{succ (max (max u1 u3) (max u2 u3) u4)} (Matrix.{max u1 u3, max u2 u3, u4} (Prod.{u1, u3} m o) (Prod.{u2, u3} n o) α) (Matrix.blockDiagonal.{u1, u2, u3, u4} m n o α (fun (a : o) (b : o) => _inst_1 a b) (AddZeroClass.toHasZero.{u4} α (AddMonoid.toAddZeroClass.{u4} α _inst_3)) (SMul.smul.{u5, max u3 u1 u2 u4} R (o -> (Matrix.{u1, u2, u4} m n α)) (Function.hasSMul.{u3, u5, max u1 u2 u4} o R (Matrix.{u1, u2, u4} m n α) (Matrix.hasSmul.{u4, u1, u2, u5} m n R α (SMulZeroClass.toHasSmul.{u5, u4} R α (AddZeroClass.toHasZero.{u4} α (AddMonoid.toAddZeroClass.{u4} α _inst_3)) (DistribSMul.toSmulZeroClass.{u5, u4} R α (AddMonoid.toAddZeroClass.{u4} α _inst_3) (DistribMulAction.toDistribSMul.{u5, u4} R α _inst_2 _inst_3 _inst_4))))) x M)) (SMul.smul.{u5, max (max u1 u3) (max u2 u3) u4} R (Matrix.{max u1 u3, max u2 u3, u4} (Prod.{u1, u3} m o) (Prod.{u2, u3} n o) α) (Matrix.hasSmul.{u4, max u1 u3, max u2 u3, u5} (Prod.{u1, u3} m o) (Prod.{u2, u3} n o) R α (SMulZeroClass.toHasSmul.{u5, u4} R α (AddZeroClass.toHasZero.{u4} α (AddMonoid.toAddZeroClass.{u4} α _inst_3)) (DistribSMul.toSmulZeroClass.{u5, u4} R α (AddMonoid.toAddZeroClass.{u4} α _inst_3) (DistribMulAction.toDistribSMul.{u5, u4} R α _inst_2 _inst_3 _inst_4)))) x (Matrix.blockDiagonal.{u1, u2, u3, u4} m n o α (fun (a : o) (b : o) => _inst_1 a b) (AddZeroClass.toHasZero.{u4} α (AddMonoid.toAddZeroClass.{u4} α _inst_3)) M))
 but is expected to have type
-  forall {m : Type.{u3}} {n : Type.{u2}} {o : Type.{u1}} {α : Type.{u4}} [_inst_1 : DecidableEq.{succ u1} o] {R : Type.{u5}} [_inst_2 : Monoid.{u5} R] [_inst_3 : AddMonoid.{u4} α] [_inst_4 : DistribMulAction.{u5, u4} R α _inst_2 _inst_3] (x : R) (M : o -> (Matrix.{u3, u2, u4} m n α)), Eq.{max (max (max (succ u3) (succ u2)) (succ u1)) (succ u4)} (Matrix.{max u1 u3, max u1 u2, u4} (Prod.{u3, u1} m o) (Prod.{u2, u1} n o) α) (Matrix.blockDiagonal.{u3, u2, u1, u4} m n o α (fun (a : o) (b : o) => _inst_1 a b) (AddMonoid.toZero.{u4} α _inst_3) (HSMul.hSMul.{u5, max (max (max u3 u2) u1) u4, max (max (max u3 u2) u1) u4} R (o -> (Matrix.{u3, u2, u4} m n α)) (o -> (Matrix.{u3, u2, u4} m n α)) (instHSMul.{u5, max (max (max u3 u2) u1) u4} R (o -> (Matrix.{u3, u2, u4} m n α)) (Pi.instSMul.{u1, max (max u3 u2) u4, u5} o R (fun (a._@.Mathlib.Data.Matrix.Block._hyg.5266 : o) => Matrix.{u3, u2, u4} m n α) (fun (i : o) => Matrix.smul.{u4, u3, u2, u5} m n R α (SMulZeroClass.toSMul.{u5, u4} R α (AddMonoid.toZero.{u4} α _inst_3) (DistribSMul.toSMulZeroClass.{u5, u4} R α (AddMonoid.toAddZeroClass.{u4} α _inst_3) (DistribMulAction.toDistribSMul.{u5, u4} R α _inst_2 _inst_3 _inst_4)))))) x M)) (HSMul.hSMul.{u5, max (max (max u4 u1) u2) u3, max (max (max u3 u2) u1) u4} R (Matrix.{max u1 u3, max u1 u2, u4} (Prod.{u3, u1} m o) (Prod.{u2, u1} n o) α) (Matrix.{max u1 u3, max u1 u2, u4} (Prod.{u3, u1} m o) (Prod.{u2, u1} n o) α) (instHSMul.{u5, max (max (max u3 u2) u1) u4} R (Matrix.{max u1 u3, max u1 u2, u4} (Prod.{u3, u1} m o) (Prod.{u2, u1} n o) α) (Matrix.smul.{u4, max u3 u1, max u2 u1, u5} (Prod.{u3, u1} m o) (Prod.{u2, u1} n o) R α (SMulZeroClass.toSMul.{u5, u4} R α (AddMonoid.toZero.{u4} α _inst_3) (DistribSMul.toSMulZeroClass.{u5, u4} R α (AddMonoid.toAddZeroClass.{u4} α _inst_3) (DistribMulAction.toDistribSMul.{u5, u4} R α _inst_2 _inst_3 _inst_4))))) x (Matrix.blockDiagonal.{u3, u2, u1, u4} m n o α (fun (a : o) (b : o) => _inst_1 a b) (AddMonoid.toZero.{u4} α _inst_3) M))
+  forall {m : Type.{u3}} {n : Type.{u2}} {o : Type.{u1}} {α : Type.{u4}} [_inst_1 : DecidableEq.{succ u1} o] {R : Type.{u5}} [_inst_2 : Monoid.{u5} R] [_inst_3 : AddMonoid.{u4} α] [_inst_4 : DistribMulAction.{u5, u4} R α _inst_2 _inst_3] (x : R) (M : o -> (Matrix.{u3, u2, u4} m n α)), Eq.{max (max (max (succ u3) (succ u2)) (succ u1)) (succ u4)} (Matrix.{max u1 u3, max u1 u2, u4} (Prod.{u3, u1} m o) (Prod.{u2, u1} n o) α) (Matrix.blockDiagonal.{u3, u2, u1, u4} m n o α (fun (a : o) (b : o) => _inst_1 a b) (AddMonoid.toZero.{u4} α _inst_3) (HSMul.hSMul.{u5, max (max (max u3 u2) u1) u4, max (max (max u3 u2) u1) u4} R (o -> (Matrix.{u3, u2, u4} m n α)) (o -> (Matrix.{u3, u2, u4} m n α)) (instHSMul.{u5, max (max (max u3 u2) u1) u4} R (o -> (Matrix.{u3, u2, u4} m n α)) (Pi.instSMul.{u1, max (max u3 u2) u4, u5} o R (fun (a._@.Mathlib.Data.Matrix.Block._hyg.5343 : o) => Matrix.{u3, u2, u4} m n α) (fun (i : o) => Matrix.smul.{u4, u3, u2, u5} m n R α (SMulZeroClass.toSMul.{u5, u4} R α (AddMonoid.toZero.{u4} α _inst_3) (DistribSMul.toSMulZeroClass.{u5, u4} R α (AddMonoid.toAddZeroClass.{u4} α _inst_3) (DistribMulAction.toDistribSMul.{u5, u4} R α _inst_2 _inst_3 _inst_4)))))) x M)) (HSMul.hSMul.{u5, max (max (max u4 u1) u2) u3, max (max (max u3 u2) u1) u4} R (Matrix.{max u1 u3, max u1 u2, u4} (Prod.{u3, u1} m o) (Prod.{u2, u1} n o) α) (Matrix.{max u1 u3, max u1 u2, u4} (Prod.{u3, u1} m o) (Prod.{u2, u1} n o) α) (instHSMul.{u5, max (max (max u3 u2) u1) u4} R (Matrix.{max u1 u3, max u1 u2, u4} (Prod.{u3, u1} m o) (Prod.{u2, u1} n o) α) (Matrix.smul.{u4, max u3 u1, max u2 u1, u5} (Prod.{u3, u1} m o) (Prod.{u2, u1} n o) R α (SMulZeroClass.toSMul.{u5, u4} R α (AddMonoid.toZero.{u4} α _inst_3) (DistribSMul.toSMulZeroClass.{u5, u4} R α (AddMonoid.toAddZeroClass.{u4} α _inst_3) (DistribMulAction.toDistribSMul.{u5, u4} R α _inst_2 _inst_3 _inst_4))))) x (Matrix.blockDiagonal.{u3, u2, u1, u4} m n o α (fun (a : o) (b : o) => _inst_1 a b) (AddMonoid.toZero.{u4} α _inst_3) M))
 Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal_smul Matrix.blockDiagonal_smulₓ'. -/
 @[simp]
 theorem blockDiagonal_smul {R : Type _} [Monoid R] [AddMonoid α] [DistribMulAction R α] (x : R)
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Ellen Arlt, Blair Shi, Sean Leather, Mario Carneiro, Johan Commelin
 
 ! This file was ported from Lean 3 source module data.matrix.block
-! leanprover-community/mathlib commit d64d67d000b974f0d86a2be7918cf800be6271c8
+! leanprover-community/mathlib commit eba5bb3155cab51d80af00e8d7d69fa271b1302b
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -34,10 +34,15 @@ variable {l m n o p q : Type _} {m' n' p' : o → Type _}
 
 variable {R : Type _} {S : Type _} {α : Type _} {β : Type _}
 
-open Matrix
+open BigOperators Matrix
 
 namespace Matrix
 
+theorem dotProduct_block [Fintype m] [Fintype n] [Mul α] [AddCommMonoid α] (v w : Sum m n → α) :
+    v ⬝ᵥ w = v ∘ Sum.inl ⬝ᵥ w ∘ Sum.inl + v ∘ Sum.inr ⬝ᵥ w ∘ Sum.inr :=
+  Fintype.sum_sum_type _
+#align matrix.dot_product_block Matrix.dotProduct_block
+
 section BlockMatrices
 
 #print Matrix.fromBlocks /-
Diff
@@ -130,64 +130,64 @@ def toBlocks₂₂ (M : Matrix (Sum n o) (Sum l m) α) : Matrix o m α :=
 #align matrix.to_blocks₂₂ Matrix.toBlocks₂₂
 -/
 
-/- warning: matrix.from_blocks_to_blocks -> Matrix.fromBlocks_to_blocks is a dubious translation:
+/- warning: matrix.from_blocks_to_blocks -> Matrix.fromBlocks_toBlocks is a dubious translation:
 lean 3 declaration is
   forall {l : Type.{u1}} {m : Type.{u2}} {n : Type.{u3}} {o : Type.{u4}} {α : Type.{u5}} (M : Matrix.{max u3 u4, max u1 u2, u5} (Sum.{u3, u4} n o) (Sum.{u1, u2} l m) α), Eq.{succ (max (max u3 u4) (max u1 u2) u5)} (Matrix.{max u3 u4, max u1 u2, u5} (Sum.{u3, u4} n o) (Sum.{u1, u2} l m) α) (Matrix.fromBlocks.{u1, u2, u3, u4, u5} l m n o α (Matrix.toBlocks₁₁.{u1, u2, u3, u4, u5} l m n o α M) (Matrix.toBlocks₁₂.{u1, u2, u3, u4, u5} l m n o α M) (Matrix.toBlocks₂₁.{u1, u2, u3, u4, u5} l m n o α M) (Matrix.toBlocks₂₂.{u1, u2, u3, u4, u5} l m n o α M)) M
 but is expected to have type
   forall {l : Type.{u2}} {m : Type.{u3}} {n : Type.{u4}} {o : Type.{u5}} {α : Type.{u1}} (M : Matrix.{max u5 u4, max u3 u2, u1} (Sum.{u4, u5} n o) (Sum.{u2, u3} l m) α), Eq.{max (max (max (max (succ u2) (succ u3)) (succ u4)) (succ u5)) (succ u1)} (Matrix.{max u5 u4, max u3 u2, u1} (Sum.{u4, u5} n o) (Sum.{u2, u3} l m) α) (Matrix.fromBlocks.{u2, u3, u4, u5, u1} l m n o α (Matrix.toBlocks₁₁.{u2, u3, u4, u5, u1} l m n o α M) (Matrix.toBlocks₁₂.{u2, u3, u4, u5, u1} l m n o α M) (Matrix.toBlocks₂₁.{u2, u3, u4, u5, u1} l m n o α M) (Matrix.toBlocks₂₂.{u2, u3, u4, u5, u1} l m n o α M)) M
-Case conversion may be inaccurate. Consider using '#align matrix.from_blocks_to_blocks Matrix.fromBlocks_to_blocksₓ'. -/
-theorem fromBlocks_to_blocks (M : Matrix (Sum n o) (Sum l m) α) :
+Case conversion may be inaccurate. Consider using '#align matrix.from_blocks_to_blocks Matrix.fromBlocks_toBlocksₓ'. -/
+theorem fromBlocks_toBlocks (M : Matrix (Sum n o) (Sum l m) α) :
     fromBlocks M.toBlocks₁₁ M.toBlocks₁₂ M.toBlocks₂₁ M.toBlocks₂₂ = M := by ext (i j);
   rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> rfl
-#align matrix.from_blocks_to_blocks Matrix.fromBlocks_to_blocks
+#align matrix.from_blocks_to_blocks Matrix.fromBlocks_toBlocks
 
-/- warning: matrix.to_blocks_from_blocks₁₁ -> Matrix.to_blocks_from_blocks₁₁ is a dubious translation:
+/- warning: matrix.to_blocks_from_blocks₁₁ -> Matrix.toBlocks_fromBlocks₁₁ is a dubious translation:
 lean 3 declaration is
   forall {l : Type.{u1}} {m : Type.{u2}} {n : Type.{u3}} {o : Type.{u4}} {α : Type.{u5}} (A : Matrix.{u3, u1, u5} n l α) (B : Matrix.{u3, u2, u5} n m α) (C : Matrix.{u4, u1, u5} o l α) (D : Matrix.{u4, u2, u5} o m α), Eq.{succ (max u3 u1 u5)} (Matrix.{u3, u1, u5} n l α) (Matrix.toBlocks₁₁.{u1, u2, u3, u4, u5} l m n o α (Matrix.fromBlocks.{u1, u2, u3, u4, u5} l m n o α A B C D)) A
 but is expected to have type
   forall {l : Type.{u4}} {m : Type.{u2}} {n : Type.{u5}} {o : Type.{u1}} {α : Type.{u3}} (A : Matrix.{u5, u4, u3} n l α) (B : Matrix.{u5, u2, u3} n m α) (C : Matrix.{u1, u4, u3} o l α) (D : Matrix.{u1, u2, u3} o m α), Eq.{max (max (succ u4) (succ u5)) (succ u3)} (Matrix.{u5, u4, u3} n l α) (Matrix.toBlocks₁₁.{u4, u2, u5, u1, u3} l m n o α (Matrix.fromBlocks.{u4, u2, u5, u1, u3} l m n o α A B C D)) A
-Case conversion may be inaccurate. Consider using '#align matrix.to_blocks_from_blocks₁₁ Matrix.to_blocks_from_blocks₁₁ₓ'. -/
+Case conversion may be inaccurate. Consider using '#align matrix.to_blocks_from_blocks₁₁ Matrix.toBlocks_fromBlocks₁₁ₓ'. -/
 @[simp]
-theorem to_blocks_from_blocks₁₁ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
+theorem toBlocks_fromBlocks₁₁ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : (fromBlocks A B C D).toBlocks₁₁ = A :=
   rfl
-#align matrix.to_blocks_from_blocks₁₁ Matrix.to_blocks_from_blocks₁₁
+#align matrix.to_blocks_from_blocks₁₁ Matrix.toBlocks_fromBlocks₁₁
 
-/- warning: matrix.to_blocks_from_blocks₁₂ -> Matrix.to_blocks_from_blocks₁₂ is a dubious translation:
+/- warning: matrix.to_blocks_from_blocks₁₂ -> Matrix.toBlocks_fromBlocks₁₂ is a dubious translation:
 lean 3 declaration is
   forall {l : Type.{u1}} {m : Type.{u2}} {n : Type.{u3}} {o : Type.{u4}} {α : Type.{u5}} (A : Matrix.{u3, u1, u5} n l α) (B : Matrix.{u3, u2, u5} n m α) (C : Matrix.{u4, u1, u5} o l α) (D : Matrix.{u4, u2, u5} o m α), Eq.{succ (max u3 u2 u5)} (Matrix.{u3, u2, u5} n m α) (Matrix.toBlocks₁₂.{u1, u2, u3, u4, u5} l m n o α (Matrix.fromBlocks.{u1, u2, u3, u4, u5} l m n o α A B C D)) B
 but is expected to have type
   forall {l : Type.{u4}} {m : Type.{u2}} {n : Type.{u5}} {o : Type.{u1}} {α : Type.{u3}} (A : Matrix.{u5, u4, u3} n l α) (B : Matrix.{u5, u2, u3} n m α) (C : Matrix.{u1, u4, u3} o l α) (D : Matrix.{u1, u2, u3} o m α), Eq.{max (max (succ u2) (succ u5)) (succ u3)} (Matrix.{u5, u2, u3} n m α) (Matrix.toBlocks₁₂.{u4, u2, u5, u1, u3} l m n o α (Matrix.fromBlocks.{u4, u2, u5, u1, u3} l m n o α A B C D)) B
-Case conversion may be inaccurate. Consider using '#align matrix.to_blocks_from_blocks₁₂ Matrix.to_blocks_from_blocks₁₂ₓ'. -/
+Case conversion may be inaccurate. Consider using '#align matrix.to_blocks_from_blocks₁₂ Matrix.toBlocks_fromBlocks₁₂ₓ'. -/
 @[simp]
-theorem to_blocks_from_blocks₁₂ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
+theorem toBlocks_fromBlocks₁₂ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : (fromBlocks A B C D).toBlocks₁₂ = B :=
   rfl
-#align matrix.to_blocks_from_blocks₁₂ Matrix.to_blocks_from_blocks₁₂
+#align matrix.to_blocks_from_blocks₁₂ Matrix.toBlocks_fromBlocks₁₂
 
-/- warning: matrix.to_blocks_from_blocks₂₁ -> Matrix.to_blocks_from_blocks₂₁ is a dubious translation:
+/- warning: matrix.to_blocks_from_blocks₂₁ -> Matrix.toBlocks_fromBlocks₂₁ is a dubious translation:
 lean 3 declaration is
   forall {l : Type.{u1}} {m : Type.{u2}} {n : Type.{u3}} {o : Type.{u4}} {α : Type.{u5}} (A : Matrix.{u3, u1, u5} n l α) (B : Matrix.{u3, u2, u5} n m α) (C : Matrix.{u4, u1, u5} o l α) (D : Matrix.{u4, u2, u5} o m α), Eq.{succ (max u4 u1 u5)} (Matrix.{u4, u1, u5} o l α) (Matrix.toBlocks₂₁.{u1, u2, u3, u4, u5} l m n o α (Matrix.fromBlocks.{u1, u2, u3, u4, u5} l m n o α A B C D)) C
 but is expected to have type
   forall {l : Type.{u4}} {m : Type.{u2}} {n : Type.{u5}} {o : Type.{u1}} {α : Type.{u3}} (A : Matrix.{u5, u4, u3} n l α) (B : Matrix.{u5, u2, u3} n m α) (C : Matrix.{u1, u4, u3} o l α) (D : Matrix.{u1, u2, u3} o m α), Eq.{max (max (succ u4) (succ u1)) (succ u3)} (Matrix.{u1, u4, u3} o l α) (Matrix.toBlocks₂₁.{u4, u2, u5, u1, u3} l m n o α (Matrix.fromBlocks.{u4, u2, u5, u1, u3} l m n o α A B C D)) C
-Case conversion may be inaccurate. Consider using '#align matrix.to_blocks_from_blocks₂₁ Matrix.to_blocks_from_blocks₂₁ₓ'. -/
+Case conversion may be inaccurate. Consider using '#align matrix.to_blocks_from_blocks₂₁ Matrix.toBlocks_fromBlocks₂₁ₓ'. -/
 @[simp]
-theorem to_blocks_from_blocks₂₁ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
+theorem toBlocks_fromBlocks₂₁ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : (fromBlocks A B C D).toBlocks₂₁ = C :=
   rfl
-#align matrix.to_blocks_from_blocks₂₁ Matrix.to_blocks_from_blocks₂₁
+#align matrix.to_blocks_from_blocks₂₁ Matrix.toBlocks_fromBlocks₂₁
 
-/- warning: matrix.to_blocks_from_blocks₂₂ -> Matrix.to_blocks_from_blocks₂₂ is a dubious translation:
+/- warning: matrix.to_blocks_from_blocks₂₂ -> Matrix.toBlocks_fromBlocks₂₂ is a dubious translation:
 lean 3 declaration is
   forall {l : Type.{u1}} {m : Type.{u2}} {n : Type.{u3}} {o : Type.{u4}} {α : Type.{u5}} (A : Matrix.{u3, u1, u5} n l α) (B : Matrix.{u3, u2, u5} n m α) (C : Matrix.{u4, u1, u5} o l α) (D : Matrix.{u4, u2, u5} o m α), Eq.{succ (max u4 u2 u5)} (Matrix.{u4, u2, u5} o m α) (Matrix.toBlocks₂₂.{u1, u2, u3, u4, u5} l m n o α (Matrix.fromBlocks.{u1, u2, u3, u4, u5} l m n o α A B C D)) D
 but is expected to have type
   forall {l : Type.{u4}} {m : Type.{u2}} {n : Type.{u5}} {o : Type.{u1}} {α : Type.{u3}} (A : Matrix.{u5, u4, u3} n l α) (B : Matrix.{u5, u2, u3} n m α) (C : Matrix.{u1, u4, u3} o l α) (D : Matrix.{u1, u2, u3} o m α), Eq.{max (max (succ u2) (succ u1)) (succ u3)} (Matrix.{u1, u2, u3} o m α) (Matrix.toBlocks₂₂.{u4, u2, u5, u1, u3} l m n o α (Matrix.fromBlocks.{u4, u2, u5, u1, u3} l m n o α A B C D)) D
-Case conversion may be inaccurate. Consider using '#align matrix.to_blocks_from_blocks₂₂ Matrix.to_blocks_from_blocks₂₂ₓ'. -/
+Case conversion may be inaccurate. Consider using '#align matrix.to_blocks_from_blocks₂₂ Matrix.toBlocks_fromBlocks₂₂ₓ'. -/
 @[simp]
-theorem to_blocks_from_blocks₂₂ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
+theorem toBlocks_fromBlocks₂₂ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : (fromBlocks A B C D).toBlocks₂₂ = D :=
   rfl
-#align matrix.to_blocks_from_blocks₂₂ Matrix.to_blocks_from_blocks₂₂
+#align matrix.to_blocks_from_blocks₂₂ Matrix.toBlocks_fromBlocks₂₂
 
 /- warning: matrix.from_blocks_map -> Matrix.fromBlocks_map is a dubious translation:
 lean 3 declaration is
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Ellen Arlt, Blair Shi, Sean Leather, Mario Carneiro, Johan Commelin
 
 ! This file was ported from Lean 3 source module data.matrix.block
-! leanprover-community/mathlib commit 3e068ece210655b7b9a9477c3aff38a492400aa1
+! 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
 /-!
 # Block Matrices
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 ## Main definitions
 
 * `matrix.from_blocks`: build a block matrix out of 4 blocks
Diff
@@ -37,6 +37,7 @@ namespace Matrix
 
 section BlockMatrices
 
+#print Matrix.fromBlocks /-
 /-- We can form a single large matrix by flattening smaller 'block' matrices of compatible
 dimensions. -/
 @[pp_nodot]
@@ -44,99 +45,186 @@ def fromBlocks (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α) (D :
     Matrix (Sum n o) (Sum l m) α :=
   of <| Sum.elim (fun i => Sum.elim (A i) (B i)) fun i => Sum.elim (C i) (D i)
 #align matrix.from_blocks Matrix.fromBlocks
+-/
 
+/- warning: matrix.from_blocks_apply₁₁ -> Matrix.fromBlocks_apply₁₁ is a dubious translation:
+lean 3 declaration is
+  forall {l : Type.{u1}} {m : Type.{u2}} {n : Type.{u3}} {o : Type.{u4}} {α : Type.{u5}} (A : Matrix.{u3, u1, u5} n l α) (B : Matrix.{u3, u2, u5} n m α) (C : Matrix.{u4, u1, u5} o l α) (D : Matrix.{u4, u2, u5} o m α) (i : n) (j : l), Eq.{succ u5} α (Matrix.fromBlocks.{u1, u2, u3, u4, u5} l m n o α A B C D (Sum.inl.{u3, u4} n o i) (Sum.inl.{u1, u2} l m j)) (A i j)
+but is expected to have type
+  forall {l : Type.{u4}} {m : Type.{u2}} {n : Type.{u5}} {o : Type.{u1}} {α : Type.{u3}} (A : Matrix.{u5, u4, u3} n l α) (B : Matrix.{u5, u2, u3} n m α) (C : Matrix.{u1, u4, u3} o l α) (D : Matrix.{u1, u2, u3} o m α) (i : n) (j : l), Eq.{succ u3} α (Matrix.fromBlocks.{u4, u2, u5, u1, u3} l m n o α A B C D (Sum.inl.{u5, u1} n o i) (Sum.inl.{u4, u2} l m j)) (A i j)
+Case conversion may be inaccurate. Consider using '#align matrix.from_blocks_apply₁₁ Matrix.fromBlocks_apply₁₁ₓ'. -/
 @[simp]
 theorem fromBlocks_apply₁₁ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) (i : n) (j : l) : fromBlocks A B C D (Sum.inl i) (Sum.inl j) = A i j :=
   rfl
 #align matrix.from_blocks_apply₁₁ Matrix.fromBlocks_apply₁₁
 
+/- warning: matrix.from_blocks_apply₁₂ -> Matrix.fromBlocks_apply₁₂ is a dubious translation:
+lean 3 declaration is
+  forall {l : Type.{u1}} {m : Type.{u2}} {n : Type.{u3}} {o : Type.{u4}} {α : Type.{u5}} (A : Matrix.{u3, u1, u5} n l α) (B : Matrix.{u3, u2, u5} n m α) (C : Matrix.{u4, u1, u5} o l α) (D : Matrix.{u4, u2, u5} o m α) (i : n) (j : m), Eq.{succ u5} α (Matrix.fromBlocks.{u1, u2, u3, u4, u5} l m n o α A B C D (Sum.inl.{u3, u4} n o i) (Sum.inr.{u1, u2} l m j)) (B i j)
+but is expected to have type
+  forall {l : Type.{u4}} {m : Type.{u2}} {n : Type.{u5}} {o : Type.{u1}} {α : Type.{u3}} (A : Matrix.{u5, u4, u3} n l α) (B : Matrix.{u5, u2, u3} n m α) (C : Matrix.{u1, u4, u3} o l α) (D : Matrix.{u1, u2, u3} o m α) (i : n) (j : m), Eq.{succ u3} α (Matrix.fromBlocks.{u4, u2, u5, u1, u3} l m n o α A B C D (Sum.inl.{u5, u1} n o i) (Sum.inr.{u4, u2} l m j)) (B i j)
+Case conversion may be inaccurate. Consider using '#align matrix.from_blocks_apply₁₂ Matrix.fromBlocks_apply₁₂ₓ'. -/
 @[simp]
 theorem fromBlocks_apply₁₂ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) (i : n) (j : m) : fromBlocks A B C D (Sum.inl i) (Sum.inr j) = B i j :=
   rfl
 #align matrix.from_blocks_apply₁₂ Matrix.fromBlocks_apply₁₂
 
+/- warning: matrix.from_blocks_apply₂₁ -> Matrix.fromBlocks_apply₂₁ is a dubious translation:
+lean 3 declaration is
+  forall {l : Type.{u1}} {m : Type.{u2}} {n : Type.{u3}} {o : Type.{u4}} {α : Type.{u5}} (A : Matrix.{u3, u1, u5} n l α) (B : Matrix.{u3, u2, u5} n m α) (C : Matrix.{u4, u1, u5} o l α) (D : Matrix.{u4, u2, u5} o m α) (i : o) (j : l), Eq.{succ u5} α (Matrix.fromBlocks.{u1, u2, u3, u4, u5} l m n o α A B C D (Sum.inr.{u3, u4} n o i) (Sum.inl.{u1, u2} l m j)) (C i j)
+but is expected to have type
+  forall {l : Type.{u4}} {m : Type.{u2}} {n : Type.{u5}} {o : Type.{u1}} {α : Type.{u3}} (A : Matrix.{u5, u4, u3} n l α) (B : Matrix.{u5, u2, u3} n m α) (C : Matrix.{u1, u4, u3} o l α) (D : Matrix.{u1, u2, u3} o m α) (i : o) (j : l), Eq.{succ u3} α (Matrix.fromBlocks.{u4, u2, u5, u1, u3} l m n o α A B C D (Sum.inr.{u5, u1} n o i) (Sum.inl.{u4, u2} l m j)) (C i j)
+Case conversion may be inaccurate. Consider using '#align matrix.from_blocks_apply₂₁ Matrix.fromBlocks_apply₂₁ₓ'. -/
 @[simp]
 theorem fromBlocks_apply₂₁ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) (i : o) (j : l) : fromBlocks A B C D (Sum.inr i) (Sum.inl j) = C i j :=
   rfl
 #align matrix.from_blocks_apply₂₁ Matrix.fromBlocks_apply₂₁
 
+/- warning: matrix.from_blocks_apply₂₂ -> Matrix.fromBlocks_apply₂₂ is a dubious translation:
+lean 3 declaration is
+  forall {l : Type.{u1}} {m : Type.{u2}} {n : Type.{u3}} {o : Type.{u4}} {α : Type.{u5}} (A : Matrix.{u3, u1, u5} n l α) (B : Matrix.{u3, u2, u5} n m α) (C : Matrix.{u4, u1, u5} o l α) (D : Matrix.{u4, u2, u5} o m α) (i : o) (j : m), Eq.{succ u5} α (Matrix.fromBlocks.{u1, u2, u3, u4, u5} l m n o α A B C D (Sum.inr.{u3, u4} n o i) (Sum.inr.{u1, u2} l m j)) (D i j)
+but is expected to have type
+  forall {l : Type.{u4}} {m : Type.{u2}} {n : Type.{u5}} {o : Type.{u1}} {α : Type.{u3}} (A : Matrix.{u5, u4, u3} n l α) (B : Matrix.{u5, u2, u3} n m α) (C : Matrix.{u1, u4, u3} o l α) (D : Matrix.{u1, u2, u3} o m α) (i : o) (j : m), Eq.{succ u3} α (Matrix.fromBlocks.{u4, u2, u5, u1, u3} l m n o α A B C D (Sum.inr.{u5, u1} n o i) (Sum.inr.{u4, u2} l m j)) (D i j)
+Case conversion may be inaccurate. Consider using '#align matrix.from_blocks_apply₂₂ Matrix.fromBlocks_apply₂₂ₓ'. -/
 @[simp]
 theorem fromBlocks_apply₂₂ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) (i : o) (j : m) : fromBlocks A B C D (Sum.inr i) (Sum.inr j) = D i j :=
   rfl
 #align matrix.from_blocks_apply₂₂ Matrix.fromBlocks_apply₂₂
 
+#print Matrix.toBlocks₁₁ /-
 /-- Given a matrix whose row and column indexes are sum types, we can extract the corresponding
 "top left" submatrix. -/
 def toBlocks₁₁ (M : Matrix (Sum n o) (Sum l m) α) : Matrix n l α :=
   of fun i j => M (Sum.inl i) (Sum.inl j)
 #align matrix.to_blocks₁₁ Matrix.toBlocks₁₁
+-/
 
+#print Matrix.toBlocks₁₂ /-
 /-- Given a matrix whose row and column indexes are sum types, we can extract the corresponding
 "top right" submatrix. -/
 def toBlocks₁₂ (M : Matrix (Sum n o) (Sum l m) α) : Matrix n m α :=
   of fun i j => M (Sum.inl i) (Sum.inr j)
 #align matrix.to_blocks₁₂ Matrix.toBlocks₁₂
+-/
 
+#print Matrix.toBlocks₂₁ /-
 /-- Given a matrix whose row and column indexes are sum types, we can extract the corresponding
 "bottom left" submatrix. -/
 def toBlocks₂₁ (M : Matrix (Sum n o) (Sum l m) α) : Matrix o l α :=
   of fun i j => M (Sum.inr i) (Sum.inl j)
 #align matrix.to_blocks₂₁ Matrix.toBlocks₂₁
+-/
 
+#print Matrix.toBlocks₂₂ /-
 /-- Given a matrix whose row and column indexes are sum types, we can extract the corresponding
 "bottom right" submatrix. -/
 def toBlocks₂₂ (M : Matrix (Sum n o) (Sum l m) α) : Matrix o m α :=
   of fun i j => M (Sum.inr i) (Sum.inr j)
 #align matrix.to_blocks₂₂ Matrix.toBlocks₂₂
+-/
 
+/- warning: matrix.from_blocks_to_blocks -> Matrix.fromBlocks_to_blocks is a dubious translation:
+lean 3 declaration is
+  forall {l : Type.{u1}} {m : Type.{u2}} {n : Type.{u3}} {o : Type.{u4}} {α : Type.{u5}} (M : Matrix.{max u3 u4, max u1 u2, u5} (Sum.{u3, u4} n o) (Sum.{u1, u2} l m) α), Eq.{succ (max (max u3 u4) (max u1 u2) u5)} (Matrix.{max u3 u4, max u1 u2, u5} (Sum.{u3, u4} n o) (Sum.{u1, u2} l m) α) (Matrix.fromBlocks.{u1, u2, u3, u4, u5} l m n o α (Matrix.toBlocks₁₁.{u1, u2, u3, u4, u5} l m n o α M) (Matrix.toBlocks₁₂.{u1, u2, u3, u4, u5} l m n o α M) (Matrix.toBlocks₂₁.{u1, u2, u3, u4, u5} l m n o α M) (Matrix.toBlocks₂₂.{u1, u2, u3, u4, u5} l m n o α M)) M
+but is expected to have type
+  forall {l : Type.{u2}} {m : Type.{u3}} {n : Type.{u4}} {o : Type.{u5}} {α : Type.{u1}} (M : Matrix.{max u5 u4, max u3 u2, u1} (Sum.{u4, u5} n o) (Sum.{u2, u3} l m) α), Eq.{max (max (max (max (succ u2) (succ u3)) (succ u4)) (succ u5)) (succ u1)} (Matrix.{max u5 u4, max u3 u2, u1} (Sum.{u4, u5} n o) (Sum.{u2, u3} l m) α) (Matrix.fromBlocks.{u2, u3, u4, u5, u1} l m n o α (Matrix.toBlocks₁₁.{u2, u3, u4, u5, u1} l m n o α M) (Matrix.toBlocks₁₂.{u2, u3, u4, u5, u1} l m n o α M) (Matrix.toBlocks₂₁.{u2, u3, u4, u5, u1} l m n o α M) (Matrix.toBlocks₂₂.{u2, u3, u4, u5, u1} l m n o α M)) M
+Case conversion may be inaccurate. Consider using '#align matrix.from_blocks_to_blocks Matrix.fromBlocks_to_blocksₓ'. -/
 theorem fromBlocks_to_blocks (M : Matrix (Sum n o) (Sum l m) α) :
     fromBlocks M.toBlocks₁₁ M.toBlocks₁₂ M.toBlocks₂₁ M.toBlocks₂₂ = M := by ext (i j);
   rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> rfl
 #align matrix.from_blocks_to_blocks Matrix.fromBlocks_to_blocks
 
+/- warning: matrix.to_blocks_from_blocks₁₁ -> Matrix.to_blocks_from_blocks₁₁ is a dubious translation:
+lean 3 declaration is
+  forall {l : Type.{u1}} {m : Type.{u2}} {n : Type.{u3}} {o : Type.{u4}} {α : Type.{u5}} (A : Matrix.{u3, u1, u5} n l α) (B : Matrix.{u3, u2, u5} n m α) (C : Matrix.{u4, u1, u5} o l α) (D : Matrix.{u4, u2, u5} o m α), Eq.{succ (max u3 u1 u5)} (Matrix.{u3, u1, u5} n l α) (Matrix.toBlocks₁₁.{u1, u2, u3, u4, u5} l m n o α (Matrix.fromBlocks.{u1, u2, u3, u4, u5} l m n o α A B C D)) A
+but is expected to have type
+  forall {l : Type.{u4}} {m : Type.{u2}} {n : Type.{u5}} {o : Type.{u1}} {α : Type.{u3}} (A : Matrix.{u5, u4, u3} n l α) (B : Matrix.{u5, u2, u3} n m α) (C : Matrix.{u1, u4, u3} o l α) (D : Matrix.{u1, u2, u3} o m α), Eq.{max (max (succ u4) (succ u5)) (succ u3)} (Matrix.{u5, u4, u3} n l α) (Matrix.toBlocks₁₁.{u4, u2, u5, u1, u3} l m n o α (Matrix.fromBlocks.{u4, u2, u5, u1, u3} l m n o α A B C D)) A
+Case conversion may be inaccurate. Consider using '#align matrix.to_blocks_from_blocks₁₁ Matrix.to_blocks_from_blocks₁₁ₓ'. -/
 @[simp]
 theorem to_blocks_from_blocks₁₁ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : (fromBlocks A B C D).toBlocks₁₁ = A :=
   rfl
 #align matrix.to_blocks_from_blocks₁₁ Matrix.to_blocks_from_blocks₁₁
 
+/- warning: matrix.to_blocks_from_blocks₁₂ -> Matrix.to_blocks_from_blocks₁₂ is a dubious translation:
+lean 3 declaration is
+  forall {l : Type.{u1}} {m : Type.{u2}} {n : Type.{u3}} {o : Type.{u4}} {α : Type.{u5}} (A : Matrix.{u3, u1, u5} n l α) (B : Matrix.{u3, u2, u5} n m α) (C : Matrix.{u4, u1, u5} o l α) (D : Matrix.{u4, u2, u5} o m α), Eq.{succ (max u3 u2 u5)} (Matrix.{u3, u2, u5} n m α) (Matrix.toBlocks₁₂.{u1, u2, u3, u4, u5} l m n o α (Matrix.fromBlocks.{u1, u2, u3, u4, u5} l m n o α A B C D)) B
+but is expected to have type
+  forall {l : Type.{u4}} {m : Type.{u2}} {n : Type.{u5}} {o : Type.{u1}} {α : Type.{u3}} (A : Matrix.{u5, u4, u3} n l α) (B : Matrix.{u5, u2, u3} n m α) (C : Matrix.{u1, u4, u3} o l α) (D : Matrix.{u1, u2, u3} o m α), Eq.{max (max (succ u2) (succ u5)) (succ u3)} (Matrix.{u5, u2, u3} n m α) (Matrix.toBlocks₁₂.{u4, u2, u5, u1, u3} l m n o α (Matrix.fromBlocks.{u4, u2, u5, u1, u3} l m n o α A B C D)) B
+Case conversion may be inaccurate. Consider using '#align matrix.to_blocks_from_blocks₁₂ Matrix.to_blocks_from_blocks₁₂ₓ'. -/
 @[simp]
 theorem to_blocks_from_blocks₁₂ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : (fromBlocks A B C D).toBlocks₁₂ = B :=
   rfl
 #align matrix.to_blocks_from_blocks₁₂ Matrix.to_blocks_from_blocks₁₂
 
+/- warning: matrix.to_blocks_from_blocks₂₁ -> Matrix.to_blocks_from_blocks₂₁ is a dubious translation:
+lean 3 declaration is
+  forall {l : Type.{u1}} {m : Type.{u2}} {n : Type.{u3}} {o : Type.{u4}} {α : Type.{u5}} (A : Matrix.{u3, u1, u5} n l α) (B : Matrix.{u3, u2, u5} n m α) (C : Matrix.{u4, u1, u5} o l α) (D : Matrix.{u4, u2, u5} o m α), Eq.{succ (max u4 u1 u5)} (Matrix.{u4, u1, u5} o l α) (Matrix.toBlocks₂₁.{u1, u2, u3, u4, u5} l m n o α (Matrix.fromBlocks.{u1, u2, u3, u4, u5} l m n o α A B C D)) C
+but is expected to have type
+  forall {l : Type.{u4}} {m : Type.{u2}} {n : Type.{u5}} {o : Type.{u1}} {α : Type.{u3}} (A : Matrix.{u5, u4, u3} n l α) (B : Matrix.{u5, u2, u3} n m α) (C : Matrix.{u1, u4, u3} o l α) (D : Matrix.{u1, u2, u3} o m α), Eq.{max (max (succ u4) (succ u1)) (succ u3)} (Matrix.{u1, u4, u3} o l α) (Matrix.toBlocks₂₁.{u4, u2, u5, u1, u3} l m n o α (Matrix.fromBlocks.{u4, u2, u5, u1, u3} l m n o α A B C D)) C
+Case conversion may be inaccurate. Consider using '#align matrix.to_blocks_from_blocks₂₁ Matrix.to_blocks_from_blocks₂₁ₓ'. -/
 @[simp]
 theorem to_blocks_from_blocks₂₁ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : (fromBlocks A B C D).toBlocks₂₁ = C :=
   rfl
 #align matrix.to_blocks_from_blocks₂₁ Matrix.to_blocks_from_blocks₂₁
 
+/- warning: matrix.to_blocks_from_blocks₂₂ -> Matrix.to_blocks_from_blocks₂₂ is a dubious translation:
+lean 3 declaration is
+  forall {l : Type.{u1}} {m : Type.{u2}} {n : Type.{u3}} {o : Type.{u4}} {α : Type.{u5}} (A : Matrix.{u3, u1, u5} n l α) (B : Matrix.{u3, u2, u5} n m α) (C : Matrix.{u4, u1, u5} o l α) (D : Matrix.{u4, u2, u5} o m α), Eq.{succ (max u4 u2 u5)} (Matrix.{u4, u2, u5} o m α) (Matrix.toBlocks₂₂.{u1, u2, u3, u4, u5} l m n o α (Matrix.fromBlocks.{u1, u2, u3, u4, u5} l m n o α A B C D)) D
+but is expected to have type
+  forall {l : Type.{u4}} {m : Type.{u2}} {n : Type.{u5}} {o : Type.{u1}} {α : Type.{u3}} (A : Matrix.{u5, u4, u3} n l α) (B : Matrix.{u5, u2, u3} n m α) (C : Matrix.{u1, u4, u3} o l α) (D : Matrix.{u1, u2, u3} o m α), Eq.{max (max (succ u2) (succ u1)) (succ u3)} (Matrix.{u1, u2, u3} o m α) (Matrix.toBlocks₂₂.{u4, u2, u5, u1, u3} l m n o α (Matrix.fromBlocks.{u4, u2, u5, u1, u3} l m n o α A B C D)) D
+Case conversion may be inaccurate. Consider using '#align matrix.to_blocks_from_blocks₂₂ Matrix.to_blocks_from_blocks₂₂ₓ'. -/
 @[simp]
 theorem to_blocks_from_blocks₂₂ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : (fromBlocks A B C D).toBlocks₂₂ = D :=
   rfl
 #align matrix.to_blocks_from_blocks₂₂ Matrix.to_blocks_from_blocks₂₂
 
+/- warning: matrix.from_blocks_map -> Matrix.fromBlocks_map is a dubious translation:
+lean 3 declaration is
+  forall {l : Type.{u1}} {m : Type.{u2}} {n : Type.{u3}} {o : Type.{u4}} {α : Type.{u5}} {β : Type.{u6}} (A : Matrix.{u3, u1, u5} n l α) (B : Matrix.{u3, u2, u5} n m α) (C : Matrix.{u4, u1, u5} o l α) (D : Matrix.{u4, u2, u5} o m α) (f : α -> β), Eq.{succ (max (max u3 u4) (max u1 u2) u6)} (Matrix.{max u3 u4, max u1 u2, u6} (Sum.{u3, u4} n o) (Sum.{u1, u2} l m) β) (Matrix.map.{u5, u6, max u3 u4, max u1 u2} (Sum.{u3, u4} n o) (Sum.{u1, u2} l m) α β (Matrix.fromBlocks.{u1, u2, u3, u4, u5} l m n o α A B C D) f) (Matrix.fromBlocks.{u1, u2, u3, u4, u6} l m n o β (Matrix.map.{u5, u6, u3, u1} n l α β A f) (Matrix.map.{u5, u6, u3, u2} n m α β B f) (Matrix.map.{u5, u6, u4, u1} o l α β C f) (Matrix.map.{u5, u6, u4, u2} o m α β D f))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align matrix.from_blocks_map Matrix.fromBlocks_mapₓ'. -/
 theorem fromBlocks_map (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α) (D : Matrix o m α)
     (f : α → β) : (fromBlocks A B C D).map f = fromBlocks (A.map f) (B.map f) (C.map f) (D.map f) :=
   by ext (i j); rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> simp [from_blocks]
 #align matrix.from_blocks_map Matrix.fromBlocks_map
 
+/- warning: matrix.from_blocks_transpose -> Matrix.fromBlocks_transpose is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align matrix.from_blocks_transpose Matrix.fromBlocks_transposeₓ'. -/
 theorem fromBlocks_transpose (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : (fromBlocks A B C D)ᵀ = fromBlocks Aᵀ Cᵀ Bᵀ Dᵀ := by ext (i j);
   rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> simp [from_blocks]
 #align matrix.from_blocks_transpose Matrix.fromBlocks_transpose
 
+/- warning: matrix.from_blocks_conj_transpose -> Matrix.fromBlocks_conjTranspose is a dubious translation:
+lean 3 declaration is
+  forall {l : Type.{u1}} {m : Type.{u2}} {n : Type.{u3}} {o : Type.{u4}} {α : Type.{u5}} [_inst_1 : Star.{u5} α] (A : Matrix.{u3, u1, u5} n l α) (B : Matrix.{u3, u2, u5} n m α) (C : Matrix.{u4, u1, u5} o l α) (D : Matrix.{u4, u2, u5} o m α), Eq.{succ (max (max u1 u2) (max u3 u4) u5)} (Matrix.{max u1 u2, max u3 u4, u5} (Sum.{u1, u2} l m) (Sum.{u3, u4} n o) α) (Matrix.conjTranspose.{u5, max u3 u4, max u1 u2} (Sum.{u3, u4} n o) (Sum.{u1, u2} l m) α _inst_1 (Matrix.fromBlocks.{u1, u2, u3, u4, u5} l m n o α A B C D)) (Matrix.fromBlocks.{u3, u4, u1, u2, u5} n o l m α (Matrix.conjTranspose.{u5, u3, u1} n l α _inst_1 A) (Matrix.conjTranspose.{u5, u4, u1} o l α _inst_1 C) (Matrix.conjTranspose.{u5, u3, u2} n m α _inst_1 B) (Matrix.conjTranspose.{u5, u4, u2} o m α _inst_1 D))
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+Case conversion may be inaccurate. Consider using '#align matrix.from_blocks_conj_transpose Matrix.fromBlocks_conjTransposeₓ'. -/
 theorem fromBlocks_conjTranspose [Star α] (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : (fromBlocks A B C D)ᴴ = fromBlocks Aᴴ Cᴴ Bᴴ Dᴴ := by
   simp only [conj_transpose, from_blocks_transpose, from_blocks_map]
 #align matrix.from_blocks_conj_transpose Matrix.fromBlocks_conjTranspose
 
+/- warning: matrix.from_blocks_submatrix_sum_swap_left -> Matrix.fromBlocks_submatrix_sum_swap_left is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.from_blocks_submatrix_sum_swap_left Matrix.fromBlocks_submatrix_sum_swap_leftₓ'. -/
 @[simp]
 theorem fromBlocks_submatrix_sum_swap_left (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) (f : p → Sum l m) :
@@ -146,6 +234,12 @@ theorem fromBlocks_submatrix_sum_swap_left (A : Matrix n l α) (B : Matrix n m 
   cases i <;> dsimp <;> cases f j <;> rfl
 #align matrix.from_blocks_submatrix_sum_swap_left Matrix.fromBlocks_submatrix_sum_swap_left
 
+/- warning: matrix.from_blocks_submatrix_sum_swap_right -> Matrix.fromBlocks_submatrix_sum_swap_right is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.from_blocks_submatrix_sum_swap_right Matrix.fromBlocks_submatrix_sum_swap_rightₓ'. -/
 @[simp]
 theorem fromBlocks_submatrix_sum_swap_right (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) (f : p → Sum n o) :
@@ -155,61 +249,111 @@ theorem fromBlocks_submatrix_sum_swap_right (A : Matrix n l α) (B : Matrix n m
   cases j <;> dsimp <;> cases f i <;> rfl
 #align matrix.from_blocks_submatrix_sum_swap_right Matrix.fromBlocks_submatrix_sum_swap_right
 
+/- warning: matrix.from_blocks_submatrix_sum_swap_sum_swap -> Matrix.fromBlocks_submatrix_sum_swap_sum_swap is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.from_blocks_submatrix_sum_swap_sum_swap Matrix.fromBlocks_submatrix_sum_swap_sum_swapₓ'. -/
 theorem fromBlocks_submatrix_sum_swap_sum_swap {l m n o α : Type _} (A : Matrix n l α)
     (B : Matrix n m α) (C : Matrix o l α) (D : Matrix o m α) :
     (fromBlocks A B C D).submatrix Sum.swap Sum.swap = fromBlocks D C B A := by simp
 #align matrix.from_blocks_submatrix_sum_swap_sum_swap Matrix.fromBlocks_submatrix_sum_swap_sum_swap
 
+#print Matrix.IsTwoBlockDiagonal /-
 /-- A 2x2 block matrix is block diagonal if the blocks outside of the diagonal vanish -/
 def IsTwoBlockDiagonal [Zero α] (A : Matrix (Sum n o) (Sum l m) α) : Prop :=
   toBlocks₁₂ A = 0 ∧ toBlocks₂₁ A = 0
 #align matrix.is_two_block_diagonal Matrix.IsTwoBlockDiagonal
+-/
 
+#print Matrix.toBlock /-
 /-- Let `p` pick out certain rows and `q` pick out certain columns of a matrix `M`. Then
   `to_block M p q` is the corresponding block matrix. -/
 def toBlock (M : Matrix m n α) (p : m → Prop) (q : n → Prop) : Matrix { a // p a } { a // q a } α :=
   M.submatrix coe coe
 #align matrix.to_block Matrix.toBlock
+-/
 
+/- warning: matrix.to_block_apply -> Matrix.toBlock_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.to_block_apply Matrix.toBlock_applyₓ'. -/
 @[simp]
 theorem toBlock_apply (M : Matrix m n α) (p : m → Prop) (q : n → Prop) (i : { a // p a })
     (j : { a // q a }) : toBlock M p q i j = M ↑i ↑j :=
   rfl
 #align matrix.to_block_apply Matrix.toBlock_apply
 
+#print Matrix.toSquareBlockProp /-
 /-- Let `p` pick out certain rows and columns of a square matrix `M`. Then
   `to_square_block_prop M p` is the corresponding block matrix. -/
 def toSquareBlockProp (M : Matrix m m α) (p : m → Prop) : Matrix { a // p a } { a // p a } α :=
   toBlock M _ _
 #align matrix.to_square_block_prop Matrix.toSquareBlockProp
+-/
 
+/- warning: matrix.to_square_block_prop_def -> Matrix.toSquareBlockProp_def is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.to_square_block_prop_def Matrix.toSquareBlockProp_defₓ'. -/
 theorem toSquareBlockProp_def (M : Matrix m m α) (p : m → Prop) :
     toSquareBlockProp M p = fun i j => M ↑i ↑j :=
   rfl
 #align matrix.to_square_block_prop_def Matrix.toSquareBlockProp_def
 
+#print Matrix.toSquareBlock /-
 /-- Let `b` map rows and columns of a square matrix `M` to blocks. Then
   `to_square_block M b k` is the block `k` matrix. -/
 def toSquareBlock (M : Matrix m m α) (b : m → β) (k : β) :
     Matrix { a // b a = k } { a // b a = k } α :=
   toSquareBlockProp M _
 #align matrix.to_square_block Matrix.toSquareBlock
+-/
 
+/- warning: matrix.to_square_block_def -> Matrix.toSquareBlock_def is a dubious translation:
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 theorem toSquareBlock_def (M : Matrix m m α) (b : m → β) (k : β) :
     toSquareBlock M b k = fun i j => M ↑i ↑j :=
   rfl
 #align matrix.to_square_block_def Matrix.toSquareBlock_def
 
+/- warning: matrix.from_blocks_smul -> Matrix.fromBlocks_smul is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.from_blocks_smul Matrix.fromBlocks_smulₓ'. -/
 theorem fromBlocks_smul [SMul R α] (x : R) (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : x • fromBlocks A B C D = fromBlocks (x • A) (x • B) (x • C) (x • D) := by
   ext (i j); rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> simp [from_blocks]
 #align matrix.from_blocks_smul Matrix.fromBlocks_smul
 
+/- warning: matrix.from_blocks_neg -> Matrix.fromBlocks_neg is a dubious translation:
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 theorem fromBlocks_neg [Neg R] (A : Matrix n l R) (B : Matrix n m R) (C : Matrix o l R)
     (D : Matrix o m R) : -fromBlocks A B C D = fromBlocks (-A) (-B) (-C) (-D) := by ext (i j);
   cases i <;> cases j <;> simp [from_blocks]
 #align matrix.from_blocks_neg Matrix.fromBlocks_neg
 
+/- warning: matrix.from_blocks_add -> Matrix.fromBlocks_add is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.from_blocks_add Matrix.fromBlocks_addₓ'. -/
 theorem fromBlocks_add [Add α] (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) (A' : Matrix n l α) (B' : Matrix n m α) (C' : Matrix o l α)
     (D' : Matrix o m α) :
@@ -217,6 +361,12 @@ theorem fromBlocks_add [Add α] (A : Matrix n l α) (B : Matrix n m α) (C : Mat
   by ext (i j); rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> rfl
 #align matrix.from_blocks_add Matrix.fromBlocks_add
 
+/- warning: matrix.from_blocks_multiply -> Matrix.fromBlocks_multiply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.from_blocks_multiply Matrix.fromBlocks_multiplyₓ'. -/
 theorem fromBlocks_multiply [Fintype l] [Fintype m] [NonUnitalNonAssocSemiring α] (A : Matrix n l α)
     (B : Matrix n m α) (C : Matrix o l α) (D : Matrix o m α) (A' : Matrix l p α) (B' : Matrix l q α)
     (C' : Matrix m p α) (D' : Matrix m q α) :
@@ -228,6 +378,12 @@ theorem fromBlocks_multiply [Fintype l] [Fintype m] [NonUnitalNonAssocSemiring 
       Pi.add_apply, of_apply]
 #align matrix.from_blocks_multiply Matrix.fromBlocks_multiply
 
+/- warning: matrix.from_blocks_mul_vec -> Matrix.fromBlocks_mulVec is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.from_blocks_mul_vec Matrix.fromBlocks_mulVecₓ'. -/
 theorem fromBlocks_mulVec [Fintype l] [Fintype m] [NonUnitalNonAssocSemiring α] (A : Matrix n l α)
     (B : Matrix n m α) (C : Matrix o l α) (D : Matrix o m α) (x : Sum l m → α) :
     mulVec (fromBlocks A B C D) x =
@@ -238,6 +394,12 @@ theorem fromBlocks_mulVec [Fintype l] [Fintype m] [NonUnitalNonAssocSemiring α]
   cases i <;> simp [mul_vec, dot_product]
 #align matrix.from_blocks_mul_vec Matrix.fromBlocks_mulVec
 
+/- warning: matrix.vec_mul_from_blocks -> Matrix.vecMul_fromBlocks is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.vec_mul_from_blocks Matrix.vecMul_fromBlocksₓ'. -/
 theorem vecMul_fromBlocks [Fintype n] [Fintype o] [NonUnitalNonAssocSemiring α] (A : Matrix n l α)
     (B : Matrix n m α) (C : Matrix o l α) (D : Matrix o m α) (x : Sum n o → α) :
     vecMul x (fromBlocks A B C D) =
@@ -254,6 +416,12 @@ section Zero
 
 variable [Zero α]
 
+/- warning: matrix.to_block_diagonal_self -> Matrix.toBlock_diagonal_self is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.to_block_diagonal_self Matrix.toBlock_diagonal_selfₓ'. -/
 theorem toBlock_diagonal_self (d : m → α) (p : m → Prop) :
     Matrix.toBlock (diagonal d) p p = diagonal fun i : Subtype p => d ↑i :=
   by
@@ -263,6 +431,12 @@ theorem toBlock_diagonal_self (d : m → α) (p : m → Prop) :
   · simp [One.one, h, fun h' => h <| Subtype.ext h']
 #align matrix.to_block_diagonal_self Matrix.toBlock_diagonal_self
 
+/- warning: matrix.to_block_diagonal_disjoint -> Matrix.toBlock_diagonal_disjoint is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.to_block_diagonal_disjoint Matrix.toBlock_diagonal_disjointₓ'. -/
 theorem toBlock_diagonal_disjoint (d : m → α) {p q : m → Prop} (hpq : Disjoint p q) :
     Matrix.toBlock (diagonal d) p q = 0 :=
   by
@@ -271,6 +445,12 @@ theorem toBlock_diagonal_disjoint (d : m → α) {p q : m → Prop} (hpq : Disjo
   simp [diagonal_apply_ne d this]
 #align matrix.to_block_diagonal_disjoint Matrix.toBlock_diagonal_disjoint
 
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+Case conversion may be inaccurate. Consider using '#align matrix.from_blocks_diagonal Matrix.fromBlocks_diagonalₓ'. -/
 @[simp]
 theorem fromBlocks_diagonal (d₁ : l → α) (d₂ : m → α) :
     fromBlocks (diagonal d₁) 0 0 (diagonal d₂) = diagonal (Sum.elim d₁ d₂) := by ext (i j);
@@ -283,6 +463,12 @@ section HasZeroHasOne
 
 variable [Zero α] [One α]
 
+/- warning: matrix.from_blocks_one -> Matrix.fromBlocks_one is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.from_blocks_one Matrix.fromBlocks_oneₓ'. -/
 @[simp]
 theorem fromBlocks_one : fromBlocks (1 : Matrix l l α) 0 0 (1 : Matrix m m α) = 1 :=
   by
@@ -290,11 +476,23 @@ theorem fromBlocks_one : fromBlocks (1 : Matrix l l α) 0 0 (1 : Matrix m m α)
   rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> simp [one_apply]
 #align matrix.from_blocks_one Matrix.fromBlocks_one
 
+/- warning: matrix.to_block_one_self -> Matrix.toBlock_one_self is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.to_block_one_self Matrix.toBlock_one_selfₓ'. -/
 @[simp]
 theorem toBlock_one_self (p : m → Prop) : Matrix.toBlock (1 : Matrix m m α) p p = 1 :=
   toBlock_diagonal_self _ p
 #align matrix.to_block_one_self Matrix.toBlock_one_self
 
+/- warning: matrix.to_block_one_disjoint -> Matrix.toBlock_one_disjoint is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.to_block_one_disjoint Matrix.toBlock_one_disjointₓ'. -/
 theorem toBlock_one_disjoint {p q : m → Prop} (hpq : Disjoint p q) :
     Matrix.toBlock (1 : Matrix m m α) p q = 0 :=
   toBlock_diagonal_disjoint _ hpq
@@ -312,6 +510,7 @@ section Zero
 
 variable [Zero α] [Zero β]
 
+#print Matrix.blockDiagonal /-
 /-- `matrix.block_diagonal M` turns a homogenously-indexed collection of matrices
 `M : o → matrix m n α'` into a `m × o`-by-`n × o` block matrix which has the entries of `M` along
 the diagonal and zero elsewhere.
@@ -321,13 +520,26 @@ See also `matrix.block_diagonal'` if the matrices may not have the same size eve
 def blockDiagonal (M : o → Matrix m n α) : Matrix (m × o) (n × o) α :=
   of <| (fun ⟨i, k⟩ ⟨j, k'⟩ => if k = k' then M k i j else 0 : m × o → n × o → α)
 #align matrix.block_diagonal Matrix.blockDiagonal
+-/
 
+/- warning: matrix.block_diagonal_apply' -> Matrix.blockDiagonal_apply' is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal_apply' Matrix.blockDiagonal_apply'ₓ'. -/
 -- TODO: set as an equation lemma for `block_diagonal`, see mathlib4#3024
 theorem blockDiagonal_apply' (M : o → Matrix m n α) (i k j k') :
     blockDiagonal M ⟨i, k⟩ ⟨j, k'⟩ = if k = k' then M k i j else 0 :=
   rfl
 #align matrix.block_diagonal_apply' Matrix.blockDiagonal_apply'
 
+/- warning: matrix.block_diagonal_apply -> Matrix.blockDiagonal_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal_apply Matrix.blockDiagonal_applyₓ'. -/
 theorem blockDiagonal_apply (M : o → Matrix m n α) (ik jk) :
     blockDiagonal M ik jk = if ik.2 = jk.2 then M ik.2 ik.1 jk.1 else 0 :=
   by
@@ -336,17 +548,35 @@ theorem blockDiagonal_apply (M : o → Matrix m n α) (ik jk) :
   rfl
 #align matrix.block_diagonal_apply Matrix.blockDiagonal_apply
 
+/- warning: matrix.block_diagonal_apply_eq -> Matrix.blockDiagonal_apply_eq is a dubious translation:
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+but is expected to have type
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 @[simp]
 theorem blockDiagonal_apply_eq (M : o → Matrix m n α) (i j k) :
     blockDiagonal M (i, k) (j, k) = M k i j :=
   if_pos rfl
 #align matrix.block_diagonal_apply_eq Matrix.blockDiagonal_apply_eq
 
+/- warning: matrix.block_diagonal_apply_ne -> Matrix.blockDiagonal_apply_ne is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal_apply_ne Matrix.blockDiagonal_apply_neₓ'. -/
 theorem blockDiagonal_apply_ne (M : o → Matrix m n α) (i j) {k k'} (h : k ≠ k') :
     blockDiagonal M (i, k) (j, k') = 0 :=
   if_neg h
 #align matrix.block_diagonal_apply_ne Matrix.blockDiagonal_apply_ne
 
+/- warning: matrix.block_diagonal_map -> Matrix.blockDiagonal_map is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal_map Matrix.blockDiagonal_mapₓ'. -/
 theorem blockDiagonal_map (M : o → Matrix m n α) (f : α → β) (hf : f 0 = 0) :
     (blockDiagonal M).map f = blockDiagonal fun k => (M k).map f :=
   by
@@ -355,6 +585,12 @@ theorem blockDiagonal_map (M : o → Matrix m n α) (f : α → β) (hf : f 0 =
   rw [apply_ite f, hf]
 #align matrix.block_diagonal_map Matrix.blockDiagonal_map
 
+/- warning: matrix.block_diagonal_transpose -> Matrix.blockDiagonal_transpose is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal_transpose Matrix.blockDiagonal_transposeₓ'. -/
 @[simp]
 theorem blockDiagonal_transpose (M : o → Matrix m n α) :
     (blockDiagonal M)ᵀ = blockDiagonal fun k => (M k)ᵀ :=
@@ -366,6 +602,12 @@ theorem blockDiagonal_transpose (M : o → Matrix m n α) :
   · rfl
 #align matrix.block_diagonal_transpose Matrix.blockDiagonal_transpose
 
+/- warning: matrix.block_diagonal_conj_transpose -> Matrix.blockDiagonal_conjTranspose is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal_conj_transpose Matrix.blockDiagonal_conjTransposeₓ'. -/
 @[simp]
 theorem blockDiagonal_conjTranspose {α : Type _} [AddMonoid α] [StarAddMonoid α]
     (M : o → Matrix m n α) : (blockDiagonal M)ᴴ = blockDiagonal fun k => (M k)ᴴ :=
@@ -374,6 +616,12 @@ theorem blockDiagonal_conjTranspose {α : Type _} [AddMonoid α] [StarAddMonoid
   rw [block_diagonal_map _ star (star_zero α)]
 #align matrix.block_diagonal_conj_transpose Matrix.blockDiagonal_conjTranspose
 
+/- warning: matrix.block_diagonal_zero -> Matrix.blockDiagonal_zero is a dubious translation:
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 @[simp]
 theorem blockDiagonal_zero : blockDiagonal (0 : o → Matrix m n α) = 0 :=
   by
@@ -381,6 +629,12 @@ theorem blockDiagonal_zero : blockDiagonal (0 : o → Matrix m n α) = 0 :=
   simp [block_diagonal_apply]
 #align matrix.block_diagonal_zero Matrix.blockDiagonal_zero
 
+/- warning: matrix.block_diagonal_diagonal -> Matrix.blockDiagonal_diagonal is a dubious translation:
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 @[simp]
 theorem blockDiagonal_diagonal [DecidableEq m] (d : o → m → α) :
     (blockDiagonal fun k => diagonal (d k)) = diagonal fun ik => d ik.2 ik.1 :=
@@ -391,6 +645,12 @@ theorem blockDiagonal_diagonal [DecidableEq m] (d : o → m → α) :
   rw [and_comm']
 #align matrix.block_diagonal_diagonal Matrix.blockDiagonal_diagonal
 
+/- warning: matrix.block_diagonal_one -> Matrix.blockDiagonal_one is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal_one Matrix.blockDiagonal_oneₓ'. -/
 @[simp]
 theorem blockDiagonal_one [DecidableEq m] [One α] : blockDiagonal (1 : o → Matrix m m α) = 1 :=
   show (blockDiagonal fun _ : o => diagonal fun _ : m => (1 : α)) = diagonal fun _ => 1 by
@@ -399,6 +659,12 @@ theorem blockDiagonal_one [DecidableEq m] [One α] : blockDiagonal (1 : o → Ma
 
 end Zero
 
+/- warning: matrix.block_diagonal_add -> Matrix.blockDiagonal_add is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal_add Matrix.blockDiagonal_addₓ'. -/
 @[simp]
 theorem blockDiagonal_add [AddZeroClass α] (M N : o → Matrix m n α) :
     blockDiagonal (M + N) = blockDiagonal M + blockDiagonal N :=
@@ -412,6 +678,7 @@ section
 
 variable (o m n α)
 
+#print Matrix.blockDiagonalAddMonoidHom /-
 /-- `matrix.block_diagonal` as an `add_monoid_hom`. -/
 @[simps]
 def blockDiagonalAddMonoidHom [AddZeroClass α] : (o → Matrix m n α) →+ Matrix (m × o) (n × o) α
@@ -420,21 +687,40 @@ def blockDiagonalAddMonoidHom [AddZeroClass α] : (o → Matrix m n α) →+ Mat
   map_zero' := blockDiagonal_zero
   map_add' := blockDiagonal_add
 #align matrix.block_diagonal_add_monoid_hom Matrix.blockDiagonalAddMonoidHom
+-/
 
 end
 
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal_neg Matrix.blockDiagonal_negₓ'. -/
 @[simp]
 theorem blockDiagonal_neg [AddGroup α] (M : o → Matrix m n α) :
     blockDiagonal (-M) = -blockDiagonal M :=
   map_neg (blockDiagonalAddMonoidHom m n o α) M
 #align matrix.block_diagonal_neg Matrix.blockDiagonal_neg
 
+/- warning: matrix.block_diagonal_sub -> Matrix.blockDiagonal_sub is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal_sub Matrix.blockDiagonal_subₓ'. -/
 @[simp]
 theorem blockDiagonal_sub [AddGroup α] (M N : o → Matrix m n α) :
     blockDiagonal (M - N) = blockDiagonal M - blockDiagonal N :=
   map_sub (blockDiagonalAddMonoidHom m n o α) M N
 #align matrix.block_diagonal_sub Matrix.blockDiagonal_sub
 
+/- warning: matrix.block_diagonal_mul -> Matrix.blockDiagonal_mul is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal_mul Matrix.blockDiagonal_mulₓ'. -/
 @[simp]
 theorem blockDiagonal_mul [Fintype n] [Fintype o] [NonUnitalNonAssocSemiring α]
     (M : o → Matrix m n α) (N : o → Matrix n p α) :
@@ -449,6 +735,12 @@ section
 
 variable (α m o)
 
+/- warning: matrix.block_diagonal_ring_hom -> Matrix.blockDiagonalRingHom is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal_ring_hom Matrix.blockDiagonalRingHomₓ'. -/
 /-- `matrix.block_diagonal` as a `ring_hom`. -/
 @[simps]
 def blockDiagonalRingHom [DecidableEq m] [Fintype o] [Fintype m] [NonAssocSemiring α] :
@@ -462,12 +754,24 @@ def blockDiagonalRingHom [DecidableEq m] [Fintype o] [Fintype m] [NonAssocSemiri
 
 end
 
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal_pow Matrix.blockDiagonal_powₓ'. -/
 @[simp]
 theorem blockDiagonal_pow [DecidableEq m] [Fintype o] [Fintype m] [Semiring α]
     (M : o → Matrix m m α) (n : ℕ) : blockDiagonal (M ^ n) = blockDiagonal M ^ n :=
   map_pow (blockDiagonalRingHom m o α) M n
 #align matrix.block_diagonal_pow Matrix.blockDiagonal_pow
 
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal_smul Matrix.blockDiagonal_smulₓ'. -/
 @[simp]
 theorem blockDiagonal_smul {R : Type _} [Monoid R] [AddMonoid α] [DistribMulAction R α] (x : R)
     (M : o → Matrix m n α) : blockDiagonal (x • M) = x • blockDiagonal M :=
@@ -481,30 +785,56 @@ end BlockDiagonal
 
 section BlockDiag
 
+#print Matrix.blockDiag /-
 /-- Extract a block from the diagonal of a block diagonal matrix.
 
 This is the block form of `matrix.diag`, and the left-inverse of `matrix.block_diagonal`. -/
 def blockDiag (M : Matrix (m × o) (n × o) α) (k : o) : Matrix m n α :=
   of fun i j => M (i, k) (j, k)
 #align matrix.block_diag Matrix.blockDiag
+-/
 
+/- warning: matrix.block_diag_apply -> Matrix.blockDiag_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diag_apply Matrix.blockDiag_applyₓ'. -/
 -- TODO: set as an equation lemma for `block_diag`, see mathlib4#3024
 theorem blockDiag_apply (M : Matrix (m × o) (n × o) α) (k : o) (i j) :
     blockDiag M k i j = M (i, k) (j, k) :=
   rfl
 #align matrix.block_diag_apply Matrix.blockDiag_apply
 
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 theorem blockDiag_map (M : Matrix (m × o) (n × o) α) (f : α → β) :
     blockDiag (M.map f) = fun k => (blockDiag M k).map f :=
   rfl
 #align matrix.block_diag_map Matrix.blockDiag_map
 
+/- warning: matrix.block_diag_transpose -> Matrix.blockDiag_transpose is a dubious translation:
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 @[simp]
 theorem blockDiag_transpose (M : Matrix (m × o) (n × o) α) (k : o) :
     blockDiag Mᵀ k = (blockDiag M k)ᵀ :=
   ext fun i j => rfl
 #align matrix.block_diag_transpose Matrix.blockDiag_transpose
 
+/- warning: matrix.block_diag_conj_transpose -> Matrix.blockDiag_conjTranspose is a dubious translation:
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 @[simp]
 theorem blockDiag_conjTranspose {α : Type _} [AddMonoid α] [StarAddMonoid α]
     (M : Matrix (m × o) (n × o) α) (k : o) : blockDiag Mᴴ k = (blockDiag M k)ᴴ :=
@@ -515,11 +845,23 @@ section Zero
 
 variable [Zero α] [Zero β]
 
+/- warning: matrix.block_diag_zero -> Matrix.blockDiag_zero is a dubious translation:
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 @[simp]
 theorem blockDiag_zero : blockDiag (0 : Matrix (m × o) (n × o) α) = 0 :=
   rfl
 #align matrix.block_diag_zero Matrix.blockDiag_zero
 
+/- warning: matrix.block_diag_diagonal -> Matrix.blockDiag_diagonal is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diag_diagonal Matrix.blockDiag_diagonalₓ'. -/
 @[simp]
 theorem blockDiag_diagonal [DecidableEq o] [DecidableEq m] (d : m × o → α) (k : o) :
     blockDiag (diagonal d) k = diagonal fun i => d (i, k) :=
@@ -530,12 +872,24 @@ theorem blockDiag_diagonal [DecidableEq o] [DecidableEq m] (d : m × o → α) (
       exact prod.fst_eq_iff.mpr
 #align matrix.block_diag_diagonal Matrix.blockDiag_diagonal
 
+/- warning: matrix.block_diag_block_diagonal -> Matrix.blockDiag_blockDiagonal is a dubious translation:
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 @[simp]
 theorem blockDiag_blockDiagonal [DecidableEq o] (M : o → Matrix m n α) :
     blockDiag (blockDiagonal M) = M :=
   funext fun k => ext fun i j => blockDiagonal_apply_eq M i j _
 #align matrix.block_diag_block_diagonal Matrix.blockDiag_blockDiagonal
 
+/- warning: matrix.block_diag_one -> Matrix.blockDiag_one is a dubious translation:
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 @[simp]
 theorem blockDiag_one [DecidableEq o] [DecidableEq m] [One α] :
     blockDiag (1 : Matrix (m × o) (m × o) α) = 1 :=
@@ -544,6 +898,12 @@ theorem blockDiag_one [DecidableEq o] [DecidableEq m] [One α] :
 
 end Zero
 
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 @[simp]
 theorem blockDiag_add [AddZeroClass α] (M N : Matrix (m × o) (n × o) α) :
     blockDiag (M + N) = blockDiag M + blockDiag N :=
@@ -554,6 +914,7 @@ section
 
 variable (o m n α)
 
+#print Matrix.blockDiagAddMonoidHom /-
 /-- `matrix.block_diag` as an `add_monoid_hom`. -/
 @[simps]
 def blockDiagAddMonoidHom [AddZeroClass α] : Matrix (m × o) (n × o) α →+ o → Matrix m n α
@@ -562,20 +923,39 @@ def blockDiagAddMonoidHom [AddZeroClass α] : Matrix (m × o) (n × o) α →+ o
   map_zero' := blockDiag_zero
   map_add' := blockDiag_add
 #align matrix.block_diag_add_monoid_hom Matrix.blockDiagAddMonoidHom
+-/
 
 end
 
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 @[simp]
 theorem blockDiag_neg [AddGroup α] (M : Matrix (m × o) (n × o) α) : blockDiag (-M) = -blockDiag M :=
   map_neg (blockDiagAddMonoidHom m n o α) M
 #align matrix.block_diag_neg Matrix.blockDiag_neg
 
+/- warning: matrix.block_diag_sub -> Matrix.blockDiag_sub is a dubious translation:
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 @[simp]
 theorem blockDiag_sub [AddGroup α] (M N : Matrix (m × o) (n × o) α) :
     blockDiag (M - N) = blockDiag M - blockDiag N :=
   map_sub (blockDiagAddMonoidHom m n o α) M N
 #align matrix.block_diag_sub Matrix.blockDiag_sub
 
+/- warning: matrix.block_diag_smul -> Matrix.blockDiag_smul is a dubious translation:
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 @[simp]
 theorem blockDiag_smul {R : Type _} [Monoid R] [AddMonoid α] [DistribMulAction R α] (x : R)
     (M : Matrix (m × o) (n × o) α) : blockDiag (x • M) = x • blockDiag M :=
@@ -592,6 +972,7 @@ section Zero
 
 variable [Zero α] [Zero β]
 
+#print Matrix.blockDiagonal' /-
 /-- `matrix.block_diagonal' M` turns `M : Π i, matrix (m i) (n i) α` into a
 `Σ i, m i`-by-`Σ i, n i` block matrix which has the entries of `M` along the diagonal
 and zero elsewhere.
@@ -602,7 +983,14 @@ def blockDiagonal' (M : ∀ i, Matrix (m' i) (n' i) α) : Matrix (Σi, m' i) (Σ
     (fun ⟨k, i⟩ ⟨k', j⟩ => if h : k = k' then M k i (cast (congr_arg n' h.symm) j) else 0 :
       (Σi, m' i) → (Σi, n' i) → α)
 #align matrix.block_diagonal' Matrix.blockDiagonal'
+-/
 
+/- warning: matrix.block_diagonal'_apply' -> Matrix.blockDiagonal'_apply' is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal'_apply' Matrix.blockDiagonal'_apply'ₓ'. -/
 -- TODO: set as an equation lemma for `block_diagonal'`, see mathlib4#3024
 theorem blockDiagonal'_apply' (M : ∀ i, Matrix (m' i) (n' i) α) (k i k' j) :
     blockDiagonal' M ⟨k, i⟩ ⟨k', j⟩ =
@@ -610,17 +998,35 @@ theorem blockDiagonal'_apply' (M : ∀ i, Matrix (m' i) (n' i) α) (k i k' j) :
   rfl
 #align matrix.block_diagonal'_apply' Matrix.blockDiagonal'_apply'
 
+/- warning: matrix.block_diagonal'_eq_block_diagonal -> Matrix.blockDiagonal'_eq_blockDiagonal is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal'_eq_block_diagonal Matrix.blockDiagonal'_eq_blockDiagonalₓ'. -/
 theorem blockDiagonal'_eq_blockDiagonal (M : o → Matrix m n α) {k k'} (i j) :
     blockDiagonal M (i, k) (j, k') = blockDiagonal' M ⟨k, i⟩ ⟨k', j⟩ :=
   rfl
 #align matrix.block_diagonal'_eq_block_diagonal Matrix.blockDiagonal'_eq_blockDiagonal
 
+/- warning: matrix.block_diagonal'_submatrix_eq_block_diagonal -> Matrix.blockDiagonal'_submatrix_eq_blockDiagonal is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal'_submatrix_eq_block_diagonal Matrix.blockDiagonal'_submatrix_eq_blockDiagonalₓ'. -/
 theorem blockDiagonal'_submatrix_eq_blockDiagonal (M : o → Matrix m n α) :
     (blockDiagonal' M).submatrix (Prod.toSigma ∘ Prod.swap) (Prod.toSigma ∘ Prod.swap) =
       blockDiagonal M :=
   Matrix.ext fun ⟨k, i⟩ ⟨k', j⟩ => rfl
 #align matrix.block_diagonal'_submatrix_eq_block_diagonal Matrix.blockDiagonal'_submatrix_eq_blockDiagonal
 
+/- warning: matrix.block_diagonal'_apply -> Matrix.blockDiagonal'_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal'_apply Matrix.blockDiagonal'_applyₓ'. -/
 theorem blockDiagonal'_apply (M : ∀ i, Matrix (m' i) (n' i) α) (ik jk) :
     blockDiagonal' M ik jk =
       if h : ik.1 = jk.1 then M ik.1 ik.2 (cast (congr_arg n' h.symm) jk.2) else 0 :=
@@ -630,17 +1036,35 @@ theorem blockDiagonal'_apply (M : ∀ i, Matrix (m' i) (n' i) α) (ik jk) :
   rfl
 #align matrix.block_diagonal'_apply Matrix.blockDiagonal'_apply
 
+/- warning: matrix.block_diagonal'_apply_eq -> Matrix.blockDiagonal'_apply_eq is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal'_apply_eq Matrix.blockDiagonal'_apply_eqₓ'. -/
 @[simp]
 theorem blockDiagonal'_apply_eq (M : ∀ i, Matrix (m' i) (n' i) α) (k i j) :
     blockDiagonal' M ⟨k, i⟩ ⟨k, j⟩ = M k i j :=
   dif_pos rfl
 #align matrix.block_diagonal'_apply_eq Matrix.blockDiagonal'_apply_eq
 
+/- warning: matrix.block_diagonal'_apply_ne -> Matrix.blockDiagonal'_apply_ne is a dubious translation:
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 theorem blockDiagonal'_apply_ne (M : ∀ i, Matrix (m' i) (n' i) α) {k k'} (i j) (h : k ≠ k') :
     blockDiagonal' M ⟨k, i⟩ ⟨k', j⟩ = 0 :=
   dif_neg h
 #align matrix.block_diagonal'_apply_ne Matrix.blockDiagonal'_apply_ne
 
+/- warning: matrix.block_diagonal'_map -> Matrix.blockDiagonal'_map is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal'_map Matrix.blockDiagonal'_mapₓ'. -/
 theorem blockDiagonal'_map (M : ∀ i, Matrix (m' i) (n' i) α) (f : α → β) (hf : f 0 = 0) :
     (blockDiagonal' M).map f = blockDiagonal' fun k => (M k).map f :=
   by
@@ -649,6 +1073,12 @@ theorem blockDiagonal'_map (M : ∀ i, Matrix (m' i) (n' i) α) (f : α → β)
   rw [apply_dite f, hf]
 #align matrix.block_diagonal'_map Matrix.blockDiagonal'_map
 
+/- warning: matrix.block_diagonal'_transpose -> Matrix.blockDiagonal'_transpose is a dubious translation:
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 @[simp]
 theorem blockDiagonal'_transpose (M : ∀ i, Matrix (m' i) (n' i) α) :
     (blockDiagonal' M)ᵀ = blockDiagonal' fun k => (M k)ᵀ :=
@@ -658,6 +1088,12 @@ theorem blockDiagonal'_transpose (M : ∀ i, Matrix (m' i) (n' i) α) :
   split_ifs <;> cc
 #align matrix.block_diagonal'_transpose Matrix.blockDiagonal'_transpose
 
+/- warning: matrix.block_diagonal'_conj_transpose -> Matrix.blockDiagonal'_conjTranspose is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal'_conj_transpose Matrix.blockDiagonal'_conjTransposeₓ'. -/
 @[simp]
 theorem blockDiagonal'_conjTranspose {α} [AddMonoid α] [StarAddMonoid α]
     (M : ∀ i, Matrix (m' i) (n' i) α) : (blockDiagonal' M)ᴴ = blockDiagonal' fun k => (M k)ᴴ :=
@@ -666,6 +1102,12 @@ theorem blockDiagonal'_conjTranspose {α} [AddMonoid α] [StarAddMonoid α]
   exact block_diagonal'_map _ star (star_zero α)
 #align matrix.block_diagonal'_conj_transpose Matrix.blockDiagonal'_conjTranspose
 
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal'_zero Matrix.blockDiagonal'_zeroₓ'. -/
 @[simp]
 theorem blockDiagonal'_zero : blockDiagonal' (0 : ∀ i, Matrix (m' i) (n' i) α) = 0 :=
   by
@@ -673,6 +1115,12 @@ theorem blockDiagonal'_zero : blockDiagonal' (0 : ∀ i, Matrix (m' i) (n' i) α
   simp [block_diagonal'_apply]
 #align matrix.block_diagonal'_zero Matrix.blockDiagonal'_zero
 
+/- warning: matrix.block_diagonal'_diagonal -> Matrix.blockDiagonal'_diagonal is a dubious translation:
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 @[simp]
 theorem blockDiagonal'_diagonal [∀ i, DecidableEq (m' i)] (d : ∀ i, m' i → α) :
     (blockDiagonal' fun k => diagonal (d k)) = diagonal fun ik => d ik.1 ik.2 :=
@@ -684,6 +1132,12 @@ theorem blockDiagonal'_diagonal [∀ i, DecidableEq (m' i)] (d : ∀ i, m' i →
   · simp [hij]
 #align matrix.block_diagonal'_diagonal Matrix.blockDiagonal'_diagonal
 
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal'_one Matrix.blockDiagonal'_oneₓ'. -/
 @[simp]
 theorem blockDiagonal'_one [∀ i, DecidableEq (m' i)] [One α] :
     blockDiagonal' (1 : ∀ i, Matrix (m' i) (m' i) α) = 1 :=
@@ -693,6 +1147,12 @@ theorem blockDiagonal'_one [∀ i, DecidableEq (m' i)] [One α] :
 
 end Zero
 
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 @[simp]
 theorem blockDiagonal'_add [AddZeroClass α] (M N : ∀ i, Matrix (m' i) (n' i) α) :
     blockDiagonal' (M + N) = blockDiagonal' M + blockDiagonal' N :=
@@ -706,6 +1166,7 @@ section
 
 variable (m' n' α)
 
+#print Matrix.blockDiagonal'AddMonoidHom /-
 /-- `matrix.block_diagonal'` as an `add_monoid_hom`. -/
 @[simps]
 def blockDiagonal'AddMonoidHom [AddZeroClass α] :
@@ -715,21 +1176,40 @@ def blockDiagonal'AddMonoidHom [AddZeroClass α] :
   map_zero' := blockDiagonal'_zero
   map_add' := blockDiagonal'_add
 #align matrix.block_diagonal'_add_monoid_hom Matrix.blockDiagonal'AddMonoidHom
+-/
 
 end
 
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 @[simp]
 theorem blockDiagonal'_neg [AddGroup α] (M : ∀ i, Matrix (m' i) (n' i) α) :
     blockDiagonal' (-M) = -blockDiagonal' M :=
   map_neg (blockDiagonal'AddMonoidHom m' n' α) M
 #align matrix.block_diagonal'_neg Matrix.blockDiagonal'_neg
 
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal'_sub Matrix.blockDiagonal'_subₓ'. -/
 @[simp]
 theorem blockDiagonal'_sub [AddGroup α] (M N : ∀ i, Matrix (m' i) (n' i) α) :
     blockDiagonal' (M - N) = blockDiagonal' M - blockDiagonal' N :=
   map_sub (blockDiagonal'AddMonoidHom m' n' α) M N
 #align matrix.block_diagonal'_sub Matrix.blockDiagonal'_sub
 
+/- warning: matrix.block_diagonal'_mul -> Matrix.blockDiagonal'_mul is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal'_mul Matrix.blockDiagonal'_mulₓ'. -/
 @[simp]
 theorem blockDiagonal'_mul [NonUnitalNonAssocSemiring α] [∀ i, Fintype (n' i)] [Fintype o]
     (M : ∀ i, Matrix (m' i) (n' i) α) (N : ∀ i, Matrix (n' i) (p' i) α) :
@@ -747,6 +1227,12 @@ section
 
 variable (α m')
 
+/- warning: matrix.block_diagonal'_ring_hom -> Matrix.blockDiagonal'RingHom is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal'_ring_hom Matrix.blockDiagonal'RingHomₓ'. -/
 /-- `matrix.block_diagonal'` as a `ring_hom`. -/
 @[simps]
 def blockDiagonal'RingHom [∀ i, DecidableEq (m' i)] [Fintype o] [∀ i, Fintype (m' i)]
@@ -761,12 +1247,24 @@ def blockDiagonal'RingHom [∀ i, DecidableEq (m' i)] [Fintype o] [∀ i, Fintyp
 
 end
 
+/- warning: matrix.block_diagonal'_pow -> Matrix.blockDiagonal'_pow is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal'_pow Matrix.blockDiagonal'_powₓ'. -/
 @[simp]
 theorem blockDiagonal'_pow [∀ i, DecidableEq (m' i)] [Fintype o] [∀ i, Fintype (m' i)] [Semiring α]
     (M : ∀ i, Matrix (m' i) (m' i) α) (n : ℕ) : blockDiagonal' (M ^ n) = blockDiagonal' M ^ n :=
   map_pow (blockDiagonal'RingHom m' α) M n
 #align matrix.block_diagonal'_pow Matrix.blockDiagonal'_pow
 
+/- warning: matrix.block_diagonal'_smul -> Matrix.blockDiagonal'_smul is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal'_smul Matrix.blockDiagonal'_smulₓ'. -/
 @[simp]
 theorem blockDiagonal'_smul {R : Type _} [Semiring R] [AddCommMonoid α] [Module R α] (x : R)
     (M : ∀ i, Matrix (m' i) (n' i) α) : blockDiagonal' (x • M) = x • blockDiagonal' M :=
@@ -780,30 +1278,56 @@ end BlockDiagonal'
 
 section BlockDiag'
 
+#print Matrix.blockDiag' /-
 /-- Extract a block from the diagonal of a block diagonal matrix.
 
 This is the block form of `matrix.diag`, and the left-inverse of `matrix.block_diagonal'`. -/
 def blockDiag' (M : Matrix (Σi, m' i) (Σi, n' i) α) (k : o) : Matrix (m' k) (n' k) α :=
   of fun i j => M ⟨k, i⟩ ⟨k, j⟩
 #align matrix.block_diag' Matrix.blockDiag'
+-/
 
+/- warning: matrix.block_diag'_apply -> Matrix.blockDiag'_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diag'_apply Matrix.blockDiag'_applyₓ'. -/
 -- TODO: set as an equation lemma for `block_diag'`, see mathlib4#3024
 theorem blockDiag'_apply (M : Matrix (Σi, m' i) (Σi, n' i) α) (k : o) (i j) :
     blockDiag' M k i j = M ⟨k, i⟩ ⟨k, j⟩ :=
   rfl
 #align matrix.block_diag'_apply Matrix.blockDiag'_apply
 
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diag'_map Matrix.blockDiag'_mapₓ'. -/
 theorem blockDiag'_map (M : Matrix (Σi, m' i) (Σi, n' i) α) (f : α → β) :
     blockDiag' (M.map f) = fun k => (blockDiag' M k).map f :=
   rfl
 #align matrix.block_diag'_map Matrix.blockDiag'_map
 
+/- warning: matrix.block_diag'_transpose -> Matrix.blockDiag'_transpose is a dubious translation:
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 @[simp]
 theorem blockDiag'_transpose (M : Matrix (Σi, m' i) (Σi, n' i) α) (k : o) :
     blockDiag' Mᵀ k = (blockDiag' M k)ᵀ :=
   ext fun i j => rfl
 #align matrix.block_diag'_transpose Matrix.blockDiag'_transpose
 
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 @[simp]
 theorem blockDiag'_conjTranspose {α : Type _} [AddMonoid α] [StarAddMonoid α]
     (M : Matrix (Σi, m' i) (Σi, n' i) α) (k : o) : blockDiag' Mᴴ k = (blockDiag' M k)ᴴ :=
@@ -814,11 +1338,23 @@ section Zero
 
 variable [Zero α] [Zero β]
 
+/- warning: matrix.block_diag'_zero -> Matrix.blockDiag'_zero is a dubious translation:
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 @[simp]
 theorem blockDiag'_zero : blockDiag' (0 : Matrix (Σi, m' i) (Σi, n' i) α) = 0 :=
   rfl
 #align matrix.block_diag'_zero Matrix.blockDiag'_zero
 
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 @[simp]
 theorem blockDiag'_diagonal [DecidableEq o] [∀ i, DecidableEq (m' i)] (d : (Σi, m' i) → α) (k : o) :
     blockDiag' (diagonal d) k = diagonal fun i => d ⟨k, i⟩ :=
@@ -830,12 +1366,24 @@ theorem blockDiag'_diagonal [DecidableEq o] [∀ i, DecidableEq (m' i)] (d : (Σ
       rfl
 #align matrix.block_diag'_diagonal Matrix.blockDiag'_diagonal
 
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 @[simp]
 theorem blockDiag'_blockDiagonal' [DecidableEq o] (M : ∀ i, Matrix (m' i) (n' i) α) :
     blockDiag' (blockDiagonal' M) = M :=
   funext fun k => ext fun i j => blockDiagonal'_apply_eq M _ _ _
 #align matrix.block_diag'_block_diagonal' Matrix.blockDiag'_blockDiagonal'
 
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 @[simp]
 theorem blockDiag'_one [DecidableEq o] [∀ i, DecidableEq (m' i)] [One α] :
     blockDiag' (1 : Matrix (Σi, m' i) (Σi, m' i) α) = 1 :=
@@ -844,6 +1392,12 @@ theorem blockDiag'_one [DecidableEq o] [∀ i, DecidableEq (m' i)] [One α] :
 
 end Zero
 
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 @[simp]
 theorem blockDiag'_add [AddZeroClass α] (M N : Matrix (Σi, m' i) (Σi, n' i) α) :
     blockDiag' (M + N) = blockDiag' M + blockDiag' N :=
@@ -854,6 +1408,7 @@ section
 
 variable (m' n' α)
 
+#print Matrix.blockDiag'AddMonoidHom /-
 /-- `matrix.block_diag'` as an `add_monoid_hom`. -/
 @[simps]
 def blockDiag'AddMonoidHom [AddZeroClass α] :
@@ -863,21 +1418,40 @@ def blockDiag'AddMonoidHom [AddZeroClass α] :
   map_zero' := blockDiag'_zero
   map_add' := blockDiag'_add
 #align matrix.block_diag'_add_monoid_hom Matrix.blockDiag'AddMonoidHom
+-/
 
 end
 
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 @[simp]
 theorem blockDiag'_neg [AddGroup α] (M : Matrix (Σi, m' i) (Σi, n' i) α) :
     blockDiag' (-M) = -blockDiag' M :=
   map_neg (blockDiag'AddMonoidHom m' n' α) M
 #align matrix.block_diag'_neg Matrix.blockDiag'_neg
 
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 @[simp]
 theorem blockDiag'_sub [AddGroup α] (M N : Matrix (Σi, m' i) (Σi, n' i) α) :
     blockDiag' (M - N) = blockDiag' M - blockDiag' N :=
   map_sub (blockDiag'AddMonoidHom m' n' α) M N
 #align matrix.block_diag'_sub Matrix.blockDiag'_sub
 
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+Case conversion may be inaccurate. Consider using '#align matrix.block_diag'_smul Matrix.blockDiag'_smulₓ'. -/
 @[simp]
 theorem blockDiag'_smul {R : Type _} [Monoid R] [AddMonoid α] [DistribMulAction R α] (x : R)
     (M : Matrix (Σi, m' i) (Σi, n' i) α) : blockDiag' (x • M) = x • blockDiag' M :=
@@ -890,6 +1464,12 @@ section
 
 variable [CommRing R]
 
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+Case conversion may be inaccurate. Consider using '#align matrix.to_block_mul_eq_mul Matrix.toBlock_mul_eq_mulₓ'. -/
 theorem toBlock_mul_eq_mul {m n k : Type _} [Fintype n] (p : m → Prop) (q : k → Prop)
     (A : Matrix m n R) (B : Matrix n k R) : (A ⬝ B).toBlock p q = A.toBlock p ⊤ ⬝ B.toBlock ⊤ q :=
   by
@@ -899,6 +1479,12 @@ theorem toBlock_mul_eq_mul {m n k : Type _} [Fintype n] (p : m → Prop) (q : k
   simp [Top.top, CompleteLattice.top, BoundedOrder.top]
 #align matrix.to_block_mul_eq_mul Matrix.toBlock_mul_eq_mul
 
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 theorem toBlock_mul_eq_add {m n k : Type _} [Fintype n] (p : m → Prop) (q : n → Prop)
     [DecidablePred q] (r : k → Prop) (A : Matrix m n R) (B : Matrix n k R) :
     (A ⬝ B).toBlock p r =
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Ellen Arlt, Blair Shi, Sean Leather, Mario Carneiro, Johan Commelin
 
 ! This file was ported from Lean 3 source module data.matrix.block
-! leanprover-community/mathlib commit 6ca1a09bc9aa75824bf97388c9e3b441fc4ccf3f
+! leanprover-community/mathlib commit 3e068ece210655b7b9a9477c3aff38a492400aa1
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -312,22 +312,22 @@ section Zero
 
 variable [Zero α] [Zero β]
 
-/- warning: matrix.block_diagonal -> Matrix.blockDiagonal is a dubious translation:
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-but is expected to have type
-  forall {m : Type.{u2}} {n : Type.{u3}} {o : Type.{u4}} {α : Type.{u1}} [_inst_1 : DecidableEq.{succ u4} o] [_inst_2 : Zero.{u1} α], (o -> (Matrix.{u2, u3, u1} m n α)) -> (Matrix.{max u2 u4, max u3 u4, u1} (Prod.{u2, u4} m o) (Prod.{u3, u4} n o) α)
-Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal Matrix.blockDiagonalₓ'. -/
 /-- `matrix.block_diagonal M` turns a homogenously-indexed collection of matrices
 `M : o → matrix m n α'` into a `m × o`-by-`n × o` block matrix which has the entries of `M` along
 the diagonal and zero elsewhere.
 
 See also `matrix.block_diagonal'` if the matrices may not have the same size everywhere.
 -/
-def blockDiagonal (M : o → Matrix m n α) : Matrix (m × o) (n × o) α
-  | ⟨i, k⟩, ⟨j, k'⟩ => if k = k' then M k i j else 0
+def blockDiagonal (M : o → Matrix m n α) : Matrix (m × o) (n × o) α :=
+  of <| (fun ⟨i, k⟩ ⟨j, k'⟩ => if k = k' then M k i j else 0 : m × o → n × o → α)
 #align matrix.block_diagonal Matrix.blockDiagonal
 
+-- TODO: set as an equation lemma for `block_diagonal`, see mathlib4#3024
+theorem blockDiagonal_apply' (M : o → Matrix m n α) (i k j k') :
+    blockDiagonal M ⟨i, k⟩ ⟨j, k'⟩ = if k = k' then M k i j else 0 :=
+  rfl
+#align matrix.block_diagonal_apply' Matrix.blockDiagonal_apply'
+
 theorem blockDiagonal_apply (M : o → Matrix m n α) (ik jk) :
     blockDiagonal M ik jk = if ik.2 = jk.2 then M ik.2 ik.1 jk.1 else 0 :=
   by
@@ -386,7 +386,7 @@ theorem blockDiagonal_diagonal [DecidableEq m] (d : o → m → α) :
     (blockDiagonal fun k => diagonal (d k)) = diagonal fun ik => d ik.2 ik.1 :=
   by
   ext (⟨i, k⟩⟨j, k'⟩)
-  simp only [block_diagonal_apply, diagonal, Prod.mk.inj_iff, ← ite_and]
+  simp only [block_diagonal_apply, diagonal_apply, Prod.mk.inj_iff, ← ite_and]
   congr 1
   rw [and_comm']
 #align matrix.block_diagonal_diagonal Matrix.blockDiagonal_diagonal
@@ -481,19 +481,19 @@ end BlockDiagonal
 
 section BlockDiag
 
-/- warning: matrix.block_diag -> Matrix.blockDiag is a dubious translation:
-lean 3 declaration is
-  forall {m : Type.{u1}} {n : Type.{u2}} {o : Type.{u3}} {α : Type.{u4}}, (Matrix.{max u1 u3, max u2 u3, u4} (Prod.{u1, u3} m o) (Prod.{u2, u3} n o) α) -> o -> (Matrix.{u1, u2, u4} m n α)
-but is expected to have type
-  forall {m : Type.{u2}} {n : Type.{u3}} {o : Type.{u4}} {α : Type.{u1}}, (Matrix.{max u2 u4, max u3 u4, u1} (Prod.{u2, u4} m o) (Prod.{u3, u4} n o) α) -> o -> (Matrix.{u2, u3, u1} m n α)
-Case conversion may be inaccurate. Consider using '#align matrix.block_diag Matrix.blockDiagₓ'. -/
 /-- Extract a block from the diagonal of a block diagonal matrix.
 
 This is the block form of `matrix.diag`, and the left-inverse of `matrix.block_diagonal`. -/
-def blockDiag (M : Matrix (m × o) (n × o) α) (k : o) : Matrix m n α
-  | i, j => M (i, k) (j, k)
+def blockDiag (M : Matrix (m × o) (n × o) α) (k : o) : Matrix m n α :=
+  of fun i j => M (i, k) (j, k)
 #align matrix.block_diag Matrix.blockDiag
 
+-- TODO: set as an equation lemma for `block_diag`, see mathlib4#3024
+theorem blockDiag_apply (M : Matrix (m × o) (n × o) α) (k : o) (i j) :
+    blockDiag M k i j = M (i, k) (j, k) :=
+  rfl
+#align matrix.block_diag_apply Matrix.blockDiag_apply
+
 theorem blockDiag_map (M : Matrix (m × o) (n × o) α) (f : α → β) :
     blockDiag (M.map f) = fun k => (blockDiag M k).map f :=
   rfl
@@ -525,15 +525,15 @@ theorem blockDiag_diagonal [DecidableEq o] [DecidableEq m] (d : m × o → α) (
     blockDiag (diagonal d) k = diagonal fun i => d (i, k) :=
   ext fun i j => by
     obtain rfl | hij := Decidable.eq_or_ne i j
-    · rw [block_diag, diagonal_apply_eq, diagonal_apply_eq]
-    · rw [block_diag, diagonal_apply_ne _ hij, diagonal_apply_ne _ (mt _ hij)]
+    · rw [block_diag_apply, diagonal_apply_eq, diagonal_apply_eq]
+    · rw [block_diag_apply, diagonal_apply_ne _ hij, diagonal_apply_ne _ (mt _ hij)]
       exact prod.fst_eq_iff.mpr
 #align matrix.block_diag_diagonal Matrix.blockDiag_diagonal
 
 @[simp]
 theorem blockDiag_blockDiagonal [DecidableEq o] (M : o → Matrix m n α) :
     blockDiag (blockDiagonal M) = M :=
-  funext fun k => ext fun i j => blockDiagonal_apply_eq _ _ _ _
+  funext fun k => ext fun i j => blockDiagonal_apply_eq M i j _
 #align matrix.block_diag_block_diagonal Matrix.blockDiag_blockDiagonal
 
 @[simp]
@@ -592,21 +592,24 @@ section Zero
 
 variable [Zero α] [Zero β]
 
-/- warning: matrix.block_diagonal' -> Matrix.blockDiagonal' is a dubious translation:
-lean 3 declaration is
-  forall {o : Type.{u1}} {m' : o -> Type.{u2}} {n' : o -> Type.{u3}} {α : Type.{u4}} [_inst_1 : DecidableEq.{succ u1} o] [_inst_2 : Zero.{u4} α], (forall (i : o), Matrix.{u2, u3, u4} (m' i) (n' i) α) -> (Matrix.{max u1 u2, max u1 u3, u4} (Sigma.{u1, u2} o (fun (i : o) => m' i)) (Sigma.{u1, u3} o (fun (i : o) => n' i)) α)
-but is expected to have type
-  forall {o : Type.{u2}} {m' : o -> Type.{u3}} {n' : o -> Type.{u4}} {α : Type.{u1}} [_inst_1 : DecidableEq.{succ u2} o] [_inst_2 : Zero.{u1} α], (forall (i : o), Matrix.{u3, u4, u1} (m' i) (n' i) α) -> (Matrix.{max u2 u3, max u2 u4, u1} (Sigma.{u2, u3} o (fun (i : o) => m' i)) (Sigma.{u2, u4} o (fun (i : o) => n' i)) α)
-Case conversion may be inaccurate. Consider using '#align matrix.block_diagonal' Matrix.blockDiagonal'ₓ'. -/
 /-- `matrix.block_diagonal' M` turns `M : Π i, matrix (m i) (n i) α` into a
 `Σ i, m i`-by-`Σ i, n i` block matrix which has the entries of `M` along the diagonal
 and zero elsewhere.
 
 This is the dependently-typed version of `matrix.block_diagonal`. -/
-def blockDiagonal' (M : ∀ i, Matrix (m' i) (n' i) α) : Matrix (Σi, m' i) (Σi, n' i) α
-  | ⟨k, i⟩, ⟨k', j⟩ => if h : k = k' then M k i (cast (congr_arg n' h.symm) j) else 0
+def blockDiagonal' (M : ∀ i, Matrix (m' i) (n' i) α) : Matrix (Σi, m' i) (Σi, n' i) α :=
+  of <|
+    (fun ⟨k, i⟩ ⟨k', j⟩ => if h : k = k' then M k i (cast (congr_arg n' h.symm) j) else 0 :
+      (Σi, m' i) → (Σi, n' i) → α)
 #align matrix.block_diagonal' Matrix.blockDiagonal'
 
+-- TODO: set as an equation lemma for `block_diagonal'`, see mathlib4#3024
+theorem blockDiagonal'_apply' (M : ∀ i, Matrix (m' i) (n' i) α) (k i k' j) :
+    blockDiagonal' M ⟨k, i⟩ ⟨k', j⟩ =
+      if h : k = k' then M k i (cast (congr_arg n' h.symm) j) else 0 :=
+  rfl
+#align matrix.block_diagonal'_apply' Matrix.blockDiagonal'_apply'
+
 theorem blockDiagonal'_eq_blockDiagonal (M : o → Matrix m n α) {k k'} (i j) :
     blockDiagonal M (i, k) (j, k') = blockDiagonal' M ⟨k, i⟩ ⟨k', j⟩ :=
   rfl
@@ -777,19 +780,19 @@ end BlockDiagonal'
 
 section BlockDiag'
 
-/- warning: matrix.block_diag' -> Matrix.blockDiag' is a dubious translation:
-lean 3 declaration is
-  forall {o : Type.{u1}} {m' : o -> Type.{u2}} {n' : o -> Type.{u3}} {α : Type.{u4}}, (Matrix.{max u1 u2, max u1 u3, u4} (Sigma.{u1, u2} o (fun (i : o) => m' i)) (Sigma.{u1, u3} o (fun (i : o) => n' i)) α) -> (forall (k : o), Matrix.{u2, u3, u4} (m' k) (n' k) α)
-but is expected to have type
-  forall {o : Type.{u2}} {m' : o -> Type.{u3}} {n' : o -> Type.{u4}} {α : Type.{u1}}, (Matrix.{max u2 u3, max u2 u4, u1} (Sigma.{u2, u3} o (fun (i : o) => m' i)) (Sigma.{u2, u4} o (fun (i : o) => n' i)) α) -> (forall (k : o), Matrix.{u3, u4, u1} (m' k) (n' k) α)
-Case conversion may be inaccurate. Consider using '#align matrix.block_diag' Matrix.blockDiag'ₓ'. -/
 /-- Extract a block from the diagonal of a block diagonal matrix.
 
 This is the block form of `matrix.diag`, and the left-inverse of `matrix.block_diagonal'`. -/
-def blockDiag' (M : Matrix (Σi, m' i) (Σi, n' i) α) (k : o) : Matrix (m' k) (n' k) α
-  | i, j => M ⟨k, i⟩ ⟨k, j⟩
+def blockDiag' (M : Matrix (Σi, m' i) (Σi, n' i) α) (k : o) : Matrix (m' k) (n' k) α :=
+  of fun i j => M ⟨k, i⟩ ⟨k, j⟩
 #align matrix.block_diag' Matrix.blockDiag'
 
+-- TODO: set as an equation lemma for `block_diag'`, see mathlib4#3024
+theorem blockDiag'_apply (M : Matrix (Σi, m' i) (Σi, n' i) α) (k : o) (i j) :
+    blockDiag' M k i j = M ⟨k, i⟩ ⟨k, j⟩ :=
+  rfl
+#align matrix.block_diag'_apply Matrix.blockDiag'_apply
+
 theorem blockDiag'_map (M : Matrix (Σi, m' i) (Σi, n' i) α) (f : α → β) :
     blockDiag' (M.map f) = fun k => (blockDiag' M k).map f :=
   rfl
@@ -821,8 +824,8 @@ theorem blockDiag'_diagonal [DecidableEq o] [∀ i, DecidableEq (m' i)] (d : (Σ
     blockDiag' (diagonal d) k = diagonal fun i => d ⟨k, i⟩ :=
   ext fun i j => by
     obtain rfl | hij := Decidable.eq_or_ne i j
-    · rw [block_diag', diagonal_apply_eq, diagonal_apply_eq]
-    · rw [block_diag', diagonal_apply_ne _ hij, diagonal_apply_ne _ (mt (fun h => _) hij)]
+    · rw [block_diag'_apply, diagonal_apply_eq, diagonal_apply_eq]
+    · rw [block_diag'_apply, diagonal_apply_ne _ hij, diagonal_apply_ne _ (mt (fun h => _) hij)]
       cases h
       rfl
 #align matrix.block_diag'_diagonal Matrix.blockDiag'_diagonal
@@ -830,7 +833,7 @@ theorem blockDiag'_diagonal [DecidableEq o] [∀ i, DecidableEq (m' i)] (d : (Σ
 @[simp]
 theorem blockDiag'_blockDiagonal' [DecidableEq o] (M : ∀ i, Matrix (m' i) (n' i) α) :
     blockDiag' (blockDiagonal' M) = M :=
-  funext fun k => ext fun i j => blockDiagonal'_apply_eq _ _ _ _
+  funext fun k => ext fun i j => blockDiagonal'_apply_eq M _ _ _
 #align matrix.block_diag'_block_diagonal' Matrix.blockDiag'_blockDiagonal'
 
 @[simp]
Diff
@@ -904,7 +904,7 @@ theorem toBlock_mul_eq_add {m n k : Type _} [Fintype n] (p : m → Prop) (q : n
   classical
     ext (i k)
     simp only [to_block_apply, mul_apply, Pi.add_apply]
-    convert (Fintype.sum_subtype_add_sum_subtype q fun x => A (↑i) x * B x ↑k).symm
+    convert(Fintype.sum_subtype_add_sum_subtype q fun x => A (↑i) x * B x ↑k).symm
 #align matrix.to_block_mul_eq_add Matrix.toBlock_mul_eq_add
 
 end
Diff
@@ -737,7 +737,7 @@ theorem blockDiagonal'_mul [NonUnitalNonAssocSemiring α] [∀ i, Fintype (n' i)
   rw [Fintype.sum_eq_single k]
   · split_ifs <;> simp
   · intro j' hj'
-    exact Finset.sum_eq_zero fun _ _ => by rw [dif_neg hj'.symm, zero_mul]
+    exact Finset.sum_eq_zero fun _ _ => by rw [dif_neg hj'.symm, MulZeroClass.zero_mul]
 #align matrix.block_diagonal'_mul Matrix.blockDiagonal'_mul
 
 section

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
@@ -25,7 +25,6 @@ import Mathlib.Data.Matrix.Basic
 
 
 variable {l m n o p q : Type*} {m' n' p' : o → Type*}
-
 variable {R : Type*} {S : Type*} {α : Type*} {β : Type*}
 
 open BigOperators Matrix
style: homogenise porting notes (#11145)

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

  • converts "--porting note" into "-- Porting note";
  • converts "porting note" into "Porting note".
Diff
@@ -202,7 +202,7 @@ def toSquareBlockProp (M : Matrix m m α) (p : m → Prop) : Matrix { a // p a }
 #align matrix.to_square_block_prop Matrix.toSquareBlockProp
 
 theorem toSquareBlockProp_def (M : Matrix m m α) (p : m → Prop) :
-    -- porting note: added missing `of`
+    -- Porting note: added missing `of`
     toSquareBlockProp M p = of (fun i j : { a // p a } => M ↑i ↑j) :=
   rfl
 #align matrix.to_square_block_prop_def Matrix.toSquareBlockProp_def
@@ -215,7 +215,7 @@ def toSquareBlock (M : Matrix m m α) (b : m → β) (k : β) :
 #align matrix.to_square_block Matrix.toSquareBlock
 
 theorem toSquareBlock_def (M : Matrix m m α) (b : m → β) (k : β) :
-    -- porting note: added missing `of`
+    -- Porting note: added missing `of`
     toSquareBlock M b k = of (fun i j : { a // b a = k } => M ↑i ↑j) :=
   rfl
 #align matrix.to_square_block_def Matrix.toSquareBlock_def
@@ -775,7 +775,7 @@ theorem blockDiagonal'_mul [NonUnitalNonAssocSemiring α] [∀ i, Fintype (n' i)
   ext ⟨k, i⟩ ⟨k', j⟩
   simp only [blockDiagonal'_apply, mul_apply, ← Finset.univ_sigma_univ, Finset.sum_sigma]
   rw [Fintype.sum_eq_single k]
-  · simp only [if_pos, dif_pos] -- porting note: added
+  · simp only [if_pos, dif_pos] -- Porting note: added
     split_ifs <;> simp
   · intro j' hj'
     exact Finset.sum_eq_zero fun _ _ => by rw [dif_neg hj'.symm, zero_mul]
chore: Matrix.mulVec and Matrix.vecMul get infix notation (#10297)

Zulip discussion: https://leanprover.zulipchat.com/#narrow/stream/113488-general/topic/Notation.20for.20mul_vec.20and.20vec_mul

Co-authored-by: Martin Dvorak <mdvorak@ista.ac.at>

Diff
@@ -256,18 +256,18 @@ theorem fromBlocks_multiply [Fintype l] [Fintype m] [NonUnitalNonAssocSemiring 
 
 theorem fromBlocks_mulVec [Fintype l] [Fintype m] [NonUnitalNonAssocSemiring α] (A : Matrix n l α)
     (B : Matrix n m α) (C : Matrix o l α) (D : Matrix o m α) (x : Sum l m → α) :
-    mulVec (fromBlocks A B C D) x =
-      Sum.elim (mulVec A (x ∘ Sum.inl) + mulVec B (x ∘ Sum.inr))
-        (mulVec C (x ∘ Sum.inl) + mulVec D (x ∘ Sum.inr)) := by
+    (fromBlocks A B C D) *ᵥ x =
+      Sum.elim (A *ᵥ (x ∘ Sum.inl) + B *ᵥ (x ∘ Sum.inr))
+        (C *ᵥ (x ∘ Sum.inl) + D *ᵥ (x ∘ Sum.inr)) := by
   ext i
   cases i <;> simp [mulVec, dotProduct]
 #align matrix.from_blocks_mul_vec Matrix.fromBlocks_mulVec
 
 theorem vecMul_fromBlocks [Fintype n] [Fintype o] [NonUnitalNonAssocSemiring α] (A : Matrix n l α)
     (B : Matrix n m α) (C : Matrix o l α) (D : Matrix o m α) (x : Sum n o → α) :
-    vecMul x (fromBlocks A B C D) =
-      Sum.elim (vecMul (x ∘ Sum.inl) A + vecMul (x ∘ Sum.inr) C)
-        (vecMul (x ∘ Sum.inl) B + vecMul (x ∘ Sum.inr) D) := by
+    x ᵥ* fromBlocks A B C D =
+      Sum.elim ((x ∘ Sum.inl) ᵥ* A + (x ∘ Sum.inr) ᵥ* C)
+        ((x ∘ Sum.inl) ᵥ* B + (x ∘ Sum.inr) ᵥ* D) := by
   ext i
   cases i <;> simp [vecMul, dotProduct]
 #align matrix.vec_mul_from_blocks Matrix.vecMul_fromBlocks
chore: add missing hypothesis names to by_cases (#8533)

I've also got a change to make this required, but I'd like to land this first.

Diff
@@ -281,7 +281,7 @@ variable [Zero α]
 theorem toBlock_diagonal_self (d : m → α) (p : m → Prop) :
     Matrix.toBlock (diagonal d) p p = diagonal fun i : Subtype p => d ↑i := by
   ext i j
-  by_cases i = j
+  by_cases h : i = j
   · simp [h]
   · simp [One.one, h, Subtype.val_injective.ne h]
 #align matrix.to_block_diagonal_self Matrix.toBlock_diagonal_self
feat (Data/Matrix/Blocks): simp lemmas for toBlocks of diagonal matrices (#7249)

Lemmas toBlocks₁₁_diagonal, toBlocks₂₂_diagonal, toBlocks₁₂_diagonal, toBlocks₂₁_diagonal to make dealing with sub blocks of diagonal matrices a bit easier

Useful for PR #6042

Diff
@@ -300,6 +300,26 @@ theorem fromBlocks_diagonal (d₁ : l → α) (d₂ : m → α) :
   rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> simp [diagonal]
 #align matrix.from_blocks_diagonal Matrix.fromBlocks_diagonal
 
+@[simp]
+lemma toBlocks₁₁_diagonal (v : l ⊕ m → α) :
+    toBlocks₁₁ (diagonal v) = diagonal (fun i => v (Sum.inl i)) := by
+  unfold toBlocks₁₁
+  funext i j
+  simp only [ne_eq, Sum.inl.injEq, of_apply, diagonal_apply]
+
+@[simp]
+lemma toBlocks₂₂_diagonal (v : l ⊕ m → α) :
+    toBlocks₂₂ (diagonal v) = diagonal (fun i => v (Sum.inr i)) := by
+  unfold toBlocks₂₂
+  funext i j
+  simp only [ne_eq, Sum.inr.injEq, of_apply, diagonal_apply]
+
+@[simp]
+lemma toBlocks₁₂_diagonal (v : l ⊕ m → α) : toBlocks₁₂ (diagonal v) = 0 := rfl
+
+@[simp]
+lemma toBlocks₂₁_diagonal (v : l ⊕ m → α) : toBlocks₂₁ (diagonal v) = 0 := rfl
+
 end Zero
 
 section HasZeroHasOne
chore: drop MulZeroClass. in mul_zero/zero_mul (#6682)

Search&replace MulZeroClass.mul_zero -> mul_zero, MulZeroClass.zero_mul -> zero_mul.

These were introduced by Mathport, as the full name of mul_zero is actually MulZeroClass.mul_zero (it's exported with the short name).

Diff
@@ -758,7 +758,7 @@ theorem blockDiagonal'_mul [NonUnitalNonAssocSemiring α] [∀ i, Fintype (n' i)
   · simp only [if_pos, dif_pos] -- porting note: added
     split_ifs <;> simp
   · intro j' hj'
-    exact Finset.sum_eq_zero fun _ _ => by rw [dif_neg hj'.symm, MulZeroClass.zero_mul]
+    exact Finset.sum_eq_zero fun _ _ => by rw [dif_neg hj'.symm, zero_mul]
 #align matrix.block_diagonal'_mul Matrix.blockDiagonal'_mul
 
 section
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
@@ -247,8 +247,8 @@ theorem fromBlocks_add [Add α] (A : Matrix n l α) (B : Matrix n m α) (C : Mat
 theorem fromBlocks_multiply [Fintype l] [Fintype m] [NonUnitalNonAssocSemiring α] (A : Matrix n l α)
     (B : Matrix n m α) (C : Matrix o l α) (D : Matrix o m α) (A' : Matrix l p α) (B' : Matrix l q α)
     (C' : Matrix m p α) (D' : Matrix m q α) :
-    fromBlocks A B C D ⬝ fromBlocks A' B' C' D' =
-      fromBlocks (A ⬝ A' + B ⬝ C') (A ⬝ B' + B ⬝ D') (C ⬝ A' + D ⬝ C') (C ⬝ B' + D ⬝ D') := by
+    fromBlocks A B C D * fromBlocks A' B' C' D' =
+      fromBlocks (A * A' + B * C') (A * B' + B * D') (C * A' + D * C') (C * B' + D * D') := by
   ext i j
   rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> simp only [fromBlocks, mul_apply, of_apply,
       Sum.elim_inr, Fintype.sum_sum_type, Sum.elim_inl, add_apply]
@@ -453,7 +453,7 @@ theorem blockDiagonal_sub [AddGroup α] (M N : o → Matrix m n α) :
 @[simp]
 theorem blockDiagonal_mul [Fintype n] [Fintype o] [NonUnitalNonAssocSemiring α]
     (M : o → Matrix m n α) (N : o → Matrix n p α) :
-    (blockDiagonal fun k => M k ⬝ N k) = blockDiagonal M ⬝ blockDiagonal N := by
+    (blockDiagonal fun k => M k * N k) = blockDiagonal M * blockDiagonal N := by
   ext ⟨i, k⟩ ⟨j, k'⟩
   simp only [blockDiagonal_apply, mul_apply, ← Finset.univ_product_univ, Finset.sum_product]
   split_ifs with h <;> simp [h]
@@ -751,7 +751,7 @@ theorem blockDiagonal'_sub [AddGroup α] (M N : ∀ i, Matrix (m' i) (n' i) α)
 @[simp]
 theorem blockDiagonal'_mul [NonUnitalNonAssocSemiring α] [∀ i, Fintype (n' i)] [Fintype o]
     (M : ∀ i, Matrix (m' i) (n' i) α) (N : ∀ i, Matrix (n' i) (p' i) α) :
-    (blockDiagonal' fun k => M k ⬝ N k) = blockDiagonal' M ⬝ blockDiagonal' N := by
+    (blockDiagonal' fun k => M k * N k) = blockDiagonal' M * blockDiagonal' N := by
   ext ⟨k, i⟩ ⟨k', j⟩
   simp only [blockDiagonal'_apply, mul_apply, ← Finset.univ_sigma_univ, Finset.sum_sigma]
   rw [Fintype.sum_eq_single k]
@@ -917,7 +917,7 @@ variable [CommRing R]
 
 theorem toBlock_mul_eq_mul {m n k : Type*} [Fintype n] (p : m → Prop) (q : k → Prop)
     (A : Matrix m n R) (B : Matrix n k R) :
-    (A ⬝ B).toBlock p q = A.toBlock p ⊤ ⬝ B.toBlock ⊤ q := by
+    (A * B).toBlock p q = A.toBlock p ⊤ * B.toBlock ⊤ q := by
   ext i k
   simp only [toBlock_apply, mul_apply]
   rw [Finset.sum_subtype]
@@ -925,8 +925,8 @@ theorem toBlock_mul_eq_mul {m n k : Type*} [Fintype n] (p : m → Prop) (q : k 
 #align matrix.to_block_mul_eq_mul Matrix.toBlock_mul_eq_mul
 
 theorem toBlock_mul_eq_add {m n k : Type*} [Fintype n] (p : m → Prop) (q : n → Prop)
-    [DecidablePred q] (r : k → Prop) (A : Matrix m n R) (B : Matrix n k R) : (A ⬝ B).toBlock p r =
-    A.toBlock p q ⬝ B.toBlock q r + (A.toBlock p fun i => ¬q i) ⬝ B.toBlock (fun i => ¬q i) r := by
+    [DecidablePred q] (r : k → Prop) (A : Matrix m n R) (B : Matrix n k R) : (A * B).toBlock p r =
+    A.toBlock p q * B.toBlock q r + (A.toBlock p fun i => ¬q i) * B.toBlock (fun i => ¬q i) r := by
   classical
     ext i k
     simp only [toBlock_apply, mul_apply, Pi.add_apply]
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
@@ -24,9 +24,9 @@ import Mathlib.Data.Matrix.Basic
 -/
 
 
-variable {l m n o p q : Type _} {m' n' p' : o → Type _}
+variable {l m n o p q : Type*} {m' n' p' : o → Type*}
 
-variable {R : Type _} {S : Type _} {α : Type _} {β : Type _}
+variable {R : Type*} {S : Type*} {α : Type*} {β : Type*}
 
 open BigOperators Matrix
 
@@ -173,7 +173,7 @@ theorem fromBlocks_submatrix_sum_swap_right (A : Matrix n l α) (B : Matrix n m
   cases j <;> dsimp <;> cases f i <;> rfl
 #align matrix.from_blocks_submatrix_sum_swap_right Matrix.fromBlocks_submatrix_sum_swap_right
 
-theorem fromBlocks_submatrix_sum_swap_sum_swap {l m n o α : Type _} (A : Matrix n l α)
+theorem fromBlocks_submatrix_sum_swap_sum_swap {l m n o α : Type*} (A : Matrix n l α)
     (B : Matrix n m α) (C : Matrix o l α) (D : Matrix o m α) :
     (fromBlocks A B C D).submatrix Sum.swap Sum.swap = fromBlocks D C B A := by simp
 #align matrix.from_blocks_submatrix_sum_swap_sum_swap Matrix.fromBlocks_submatrix_sum_swap_sum_swap
@@ -386,7 +386,7 @@ theorem blockDiagonal_transpose (M : o → Matrix m n α) :
 #align matrix.block_diagonal_transpose Matrix.blockDiagonal_transpose
 
 @[simp]
-theorem blockDiagonal_conjTranspose {α : Type _} [AddMonoid α] [StarAddMonoid α]
+theorem blockDiagonal_conjTranspose {α : Type*} [AddMonoid α] [StarAddMonoid α]
     (M : o → Matrix m n α) : (blockDiagonal M)ᴴ = blockDiagonal fun k => (M k)ᴴ := by
   simp only [conjTranspose, blockDiagonal_transpose]
   rw [blockDiagonal_map _ star (star_zero α)]
@@ -482,7 +482,7 @@ theorem blockDiagonal_pow [DecidableEq m] [Fintype o] [Fintype m] [Semiring α]
 #align matrix.block_diagonal_pow Matrix.blockDiagonal_pow
 
 @[simp]
-theorem blockDiagonal_smul {R : Type _} [Monoid R] [AddMonoid α] [DistribMulAction R α] (x : R)
+theorem blockDiagonal_smul {R : Type*} [Monoid R] [AddMonoid α] [DistribMulAction R α] (x : R)
     (M : o → Matrix m n α) : blockDiagonal (x • M) = x • blockDiagonal M := by
   ext
   simp only [blockDiagonal_apply, Pi.smul_apply, smul_apply]
@@ -518,7 +518,7 @@ theorem blockDiag_transpose (M : Matrix (m × o) (n × o) α) (k : o) :
 #align matrix.block_diag_transpose Matrix.blockDiag_transpose
 
 @[simp]
-theorem blockDiag_conjTranspose {α : Type _} [AddMonoid α] [StarAddMonoid α]
+theorem blockDiag_conjTranspose {α : Type*} [AddMonoid α] [StarAddMonoid α]
     (M : Matrix (m × o) (n × o) α) (k : o) : blockDiag Mᴴ k = (blockDiag M k)ᴴ :=
   ext fun _ _ => rfl
 #align matrix.block_diag_conj_transpose Matrix.blockDiag_conjTranspose
@@ -599,7 +599,7 @@ theorem blockDiag_sub [AddGroup α] (M N : Matrix (m × o) (n × o) α) :
 #align matrix.block_diag_sub Matrix.blockDiag_sub
 
 @[simp]
-theorem blockDiag_smul {R : Type _} [Monoid R] [AddMonoid α] [DistribMulAction R α] (x : R)
+theorem blockDiag_smul {R : Type*} [Monoid R] [AddMonoid α] [DistribMulAction R α] (x : R)
     (M : Matrix (m × o) (n × o) α) : blockDiag (x • M) = x • blockDiag M :=
   rfl
 #align matrix.block_diag_smul Matrix.blockDiag_smul
@@ -784,7 +784,7 @@ theorem blockDiagonal'_pow [∀ i, DecidableEq (m' i)] [Fintype o] [∀ i, Finty
 #align matrix.block_diagonal'_pow Matrix.blockDiagonal'_pow
 
 @[simp]
-theorem blockDiagonal'_smul {R : Type _} [Semiring R] [AddCommMonoid α] [Module R α] (x : R)
+theorem blockDiagonal'_smul {R : Type*} [Semiring R] [AddCommMonoid α] [Module R α] (x : R)
     (M : ∀ i, Matrix (m' i) (n' i) α) : blockDiagonal' (x • M) = x • blockDiagonal' M := by
   ext
   simp only [blockDiagonal'_apply, Pi.smul_apply, smul_apply]
@@ -820,7 +820,7 @@ theorem blockDiag'_transpose (M : Matrix (Σi, m' i) (Σi, n' i) α) (k : o) :
 #align matrix.block_diag'_transpose Matrix.blockDiag'_transpose
 
 @[simp]
-theorem blockDiag'_conjTranspose {α : Type _} [AddMonoid α] [StarAddMonoid α]
+theorem blockDiag'_conjTranspose {α : Type*} [AddMonoid α] [StarAddMonoid α]
     (M : Matrix (Σi, m' i) (Σi, n' i) α) (k : o) : blockDiag' Mᴴ k = (blockDiag' M k)ᴴ :=
   ext fun _ _ => rfl
 #align matrix.block_diag'_conj_transpose Matrix.blockDiag'_conjTranspose
@@ -904,7 +904,7 @@ theorem blockDiag'_sub [AddGroup α] (M N : Matrix (Σi, m' i) (Σi, n' i) α) :
 #align matrix.block_diag'_sub Matrix.blockDiag'_sub
 
 @[simp]
-theorem blockDiag'_smul {R : Type _} [Monoid R] [AddMonoid α] [DistribMulAction R α] (x : R)
+theorem blockDiag'_smul {R : Type*} [Monoid R] [AddMonoid α] [DistribMulAction R α] (x : R)
     (M : Matrix (Σi, m' i) (Σi, n' i) α) : blockDiag' (x • M) = x • blockDiag' M :=
   rfl
 #align matrix.block_diag'_smul Matrix.blockDiag'_smul
@@ -915,7 +915,7 @@ section
 
 variable [CommRing R]
 
-theorem toBlock_mul_eq_mul {m n k : Type _} [Fintype n] (p : m → Prop) (q : k → Prop)
+theorem toBlock_mul_eq_mul {m n k : Type*} [Fintype n] (p : m → Prop) (q : k → Prop)
     (A : Matrix m n R) (B : Matrix n k R) :
     (A ⬝ B).toBlock p q = A.toBlock p ⊤ ⬝ B.toBlock ⊤ q := by
   ext i k
@@ -924,7 +924,7 @@ theorem toBlock_mul_eq_mul {m n k : Type _} [Fintype n] (p : m → Prop) (q : k
   simp [Pi.top_apply, Prop.top_eq_true]
 #align matrix.to_block_mul_eq_mul Matrix.toBlock_mul_eq_mul
 
-theorem toBlock_mul_eq_add {m n k : Type _} [Fintype n] (p : m → Prop) (q : n → Prop)
+theorem toBlock_mul_eq_add {m n k : Type*} [Fintype n] (p : m → Prop) (q : n → Prop)
     [DecidablePred q] (r : k → Prop) (A : Matrix m n R) (B : Matrix n k R) : (A ⬝ B).toBlock p r =
     A.toBlock p q ⬝ B.toBlock q r + (A.toBlock p fun i => ¬q i) ⬝ B.toBlock (fun i => ¬q i) r := by
   classical
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) 2018 Ellen Arlt. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Ellen Arlt, Blair Shi, Sean Leather, Mario Carneiro, Johan Commelin
-
-! This file was ported from Lean 3 source module data.matrix.block
-! leanprover-community/mathlib commit c060baa79af5ca092c54b8bf04f0f10592f59489
-! 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 data.matrix.block from "leanprover-community/mathlib"@"c060baa79af5ca092c54b8bf04f0f10592f59489"
+
 /-!
 # Block Matrices
 
chore: fix grammar in docs (#5668)
Diff
@@ -338,7 +338,7 @@ section Zero
 variable [Zero α] [Zero β]
 
 /-- `Matrix.blockDiagonal M` turns a homogenously-indexed collection of matrices
-`M : o → Matrix m n α'` into a `m × o`-by-`n × o` block matrix which has the entries of `M` along
+`M : o → Matrix m n α'` into an `m × o`-by-`n × o` block matrix which has the entries of `M` along
 the diagonal and zero elsewhere.
 
 See also `Matrix.blockDiagonal'` if the matrices may not have the same size everywhere.
chore: remove superfluous parentheses in calls to ext (#5258)

Co-authored-by: Xavier Roblot <46200072+xroblot@users.noreply.github.com> Co-authored-by: Joël Riou <joel.riou@universite-paris-saclay.fr> Co-authored-by: Riccardo Brasca <riccardo.brasca@gmail.com> Co-authored-by: Yury G. Kudryashov <urkud@urkud.name> Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com> Co-authored-by: Pol'tta / Miyahara Kō <pol_tta@outlook.jp> Co-authored-by: Jason Yuen <jason_yuen2007@hotmail.com> Co-authored-by: Mario Carneiro <di.gama@gmail.com> Co-authored-by: Jireh Loreaux <loreaujy@gmail.com> Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com> Co-authored-by: Kyle Miller <kmill31415@gmail.com> Co-authored-by: Heather Macbeth <25316162+hrmacbeth@users.noreply.github.com> Co-authored-by: Jujian Zhang <jujian.zhang1998@outlook.com> Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>

Diff
@@ -146,7 +146,7 @@ theorem fromBlocks_inj {A : Matrix n l α} {B : Matrix n m α} {C : Matrix o l 
 
 theorem fromBlocks_map (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α) (D : Matrix o m α)
     (f : α → β) : (fromBlocks A B C D).map f = fromBlocks (A.map f) (B.map f) (C.map f) (D.map f) :=
-  by ext (i j); rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> simp [fromBlocks]
+  by ext i j; rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> simp [fromBlocks]
 #align matrix.from_blocks_map Matrix.fromBlocks_map
 
 theorem fromBlocks_transpose (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
@@ -164,7 +164,7 @@ theorem fromBlocks_conjTranspose [Star α] (A : Matrix n l α) (B : Matrix n m 
 theorem fromBlocks_submatrix_sum_swap_left (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) (f : p → Sum l m) :
     (fromBlocks A B C D).submatrix Sum.swap f = (fromBlocks C D A B).submatrix id f := by
-  ext (i j)
+  ext i j
   cases i <;> dsimp <;> cases f j <;> rfl
 #align matrix.from_blocks_submatrix_sum_swap_left Matrix.fromBlocks_submatrix_sum_swap_left
 
@@ -172,7 +172,7 @@ theorem fromBlocks_submatrix_sum_swap_left (A : Matrix n l α) (B : Matrix n m 
 theorem fromBlocks_submatrix_sum_swap_right (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) (f : p → Sum n o) :
     (fromBlocks A B C D).submatrix f Sum.swap = (fromBlocks B A D C).submatrix f id := by
-  ext (i j)
+  ext i j
   cases j <;> dsimp <;> cases f i <;> rfl
 #align matrix.from_blocks_submatrix_sum_swap_right Matrix.fromBlocks_submatrix_sum_swap_right
 
@@ -225,7 +225,7 @@ theorem toSquareBlock_def (M : Matrix m m α) (b : m → β) (k : β) :
 
 theorem fromBlocks_smul [SMul R α] (x : R) (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : x • fromBlocks A B C D = fromBlocks (x • A) (x • B) (x • C) (x • D) := by
-  ext (i j); rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> simp [fromBlocks]
+  ext i j; rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> simp [fromBlocks]
 #align matrix.from_blocks_smul Matrix.fromBlocks_smul
 
 theorem fromBlocks_neg [Neg R] (A : Matrix n l R) (B : Matrix n m R) (C : Matrix o l R)
@@ -236,7 +236,7 @@ theorem fromBlocks_neg [Neg R] (A : Matrix n l R) (B : Matrix n m R) (C : Matrix
 
 @[simp]
 theorem fromBlocks_zero [Zero α] : fromBlocks (0 : Matrix n l α) 0 0 (0 : Matrix o m α) = 0 := by
-  ext (i j)
+  ext i j
   rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> rfl
 #align matrix.from_blocks_zero Matrix.fromBlocks_zero
 
@@ -244,7 +244,7 @@ theorem fromBlocks_add [Add α] (A : Matrix n l α) (B : Matrix n m α) (C : Mat
     (D : Matrix o m α) (A' : Matrix n l α) (B' : Matrix n m α) (C' : Matrix o l α)
     (D' : Matrix o m α) :
     fromBlocks A B C D + fromBlocks A' B' C' D' = fromBlocks (A + A') (B + B') (C + C') (D + D') :=
-  by ext (i j); rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> rfl
+  by ext i j; rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> rfl
 #align matrix.from_blocks_add Matrix.fromBlocks_add
 
 theorem fromBlocks_multiply [Fintype l] [Fintype m] [NonUnitalNonAssocSemiring α] (A : Matrix n l α)
@@ -283,7 +283,7 @@ variable [Zero α]
 
 theorem toBlock_diagonal_self (d : m → α) (p : m → Prop) :
     Matrix.toBlock (diagonal d) p p = diagonal fun i : Subtype p => d ↑i := by
-  ext (i j)
+  ext i j
   by_cases i = j
   · simp [h]
   · simp [One.one, h, Subtype.val_injective.ne h]
@@ -291,7 +291,7 @@ theorem toBlock_diagonal_self (d : m → α) (p : m → Prop) :
 
 theorem toBlock_diagonal_disjoint (d : m → α) {p q : m → Prop} (hpq : Disjoint p q) :
     Matrix.toBlock (diagonal d) p q = 0 := by
-  ext (⟨i, hi⟩⟨j, hj⟩)
+  ext ⟨i, hi⟩ ⟨j, hj⟩
   have : i ≠ j := fun heq => hpq.le_bot i ⟨hi, heq.symm ▸ hj⟩
   simp [diagonal_apply_ne d this]
 #align matrix.to_block_diagonal_disjoint Matrix.toBlock_diagonal_disjoint
@@ -311,7 +311,7 @@ variable [Zero α] [One α]
 
 @[simp]
 theorem fromBlocks_one : fromBlocks (1 : Matrix l l α) 0 0 (1 : Matrix m m α) = 1 := by
-  ext (i j)
+  ext i j
   rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> simp [one_apply]
 #align matrix.from_blocks_one Matrix.fromBlocks_one
 
@@ -404,7 +404,7 @@ theorem blockDiagonal_zero : blockDiagonal (0 : o → Matrix m n α) = 0 := by
 @[simp]
 theorem blockDiagonal_diagonal [DecidableEq m] (d : o → m → α) :
     (blockDiagonal fun k => diagonal (d k)) = diagonal fun ik => d ik.2 ik.1 := by
-  ext (⟨i, k⟩⟨j, k'⟩)
+  ext ⟨i, k⟩ ⟨j, k'⟩
   simp only [blockDiagonal_apply, diagonal_apply, Prod.mk.inj_iff, ← ite_and]
   congr 1
   rw [and_comm]
@@ -457,7 +457,7 @@ theorem blockDiagonal_sub [AddGroup α] (M N : o → Matrix m n α) :
 theorem blockDiagonal_mul [Fintype n] [Fintype o] [NonUnitalNonAssocSemiring α]
     (M : o → Matrix m n α) (N : o → Matrix n p α) :
     (blockDiagonal fun k => M k ⬝ N k) = blockDiagonal M ⬝ blockDiagonal N := by
-  ext (⟨i, k⟩ ⟨j, k'⟩)
+  ext ⟨i, k⟩ ⟨j, k'⟩
   simp only [blockDiagonal_apply, mul_apply, ← Finset.univ_product_univ, Finset.sum_product]
   split_ifs with h <;> simp [h]
 #align matrix.block_diagonal_mul Matrix.blockDiagonal_mul
@@ -675,7 +675,7 @@ theorem blockDiagonal'_map (M : ∀ i, Matrix (m' i) (n' i) α) (f : α → β)
 @[simp]
 theorem blockDiagonal'_transpose (M : ∀ i, Matrix (m' i) (n' i) α) :
     (blockDiagonal' M)ᵀ = blockDiagonal' fun k => (M k)ᵀ := by
-  ext (⟨ii, ix⟩⟨ji, jx⟩)
+  ext ⟨ii, ix⟩ ⟨ji, jx⟩
   simp only [transpose_apply, blockDiagonal'_apply]
   split_ifs with h -- Porting note: was split_ifs <;> cc
   · subst h; rfl
@@ -700,7 +700,7 @@ theorem blockDiagonal'_zero : blockDiagonal' (0 : ∀ i, Matrix (m' i) (n' i) α
 @[simp]
 theorem blockDiagonal'_diagonal [∀ i, DecidableEq (m' i)] (d : ∀ i, m' i → α) :
     (blockDiagonal' fun k => diagonal (d k)) = diagonal fun ik => d ik.1 ik.2 := by
-  ext (⟨i, k⟩⟨j, k'⟩)
+  ext ⟨i, k⟩ ⟨j, k'⟩
   simp only [blockDiagonal'_apply, diagonal]
   obtain rfl | hij := Decidable.eq_or_ne i j
   · simp
@@ -755,7 +755,7 @@ theorem blockDiagonal'_sub [AddGroup α] (M N : ∀ i, Matrix (m' i) (n' i) α)
 theorem blockDiagonal'_mul [NonUnitalNonAssocSemiring α] [∀ i, Fintype (n' i)] [Fintype o]
     (M : ∀ i, Matrix (m' i) (n' i) α) (N : ∀ i, Matrix (n' i) (p' i) α) :
     (blockDiagonal' fun k => M k ⬝ N k) = blockDiagonal' M ⬝ blockDiagonal' N := by
-  ext (⟨k, i⟩⟨k', j⟩)
+  ext ⟨k, i⟩ ⟨k', j⟩
   simp only [blockDiagonal'_apply, mul_apply, ← Finset.univ_sigma_univ, Finset.sum_sigma]
   rw [Fintype.sum_eq_single k]
   · simp only [if_pos, dif_pos] -- porting note: added
@@ -921,7 +921,7 @@ variable [CommRing R]
 theorem toBlock_mul_eq_mul {m n k : Type _} [Fintype n] (p : m → Prop) (q : k → Prop)
     (A : Matrix m n R) (B : Matrix n k R) :
     (A ⬝ B).toBlock p q = A.toBlock p ⊤ ⬝ B.toBlock ⊤ q := by
-  ext (i k)
+  ext i k
   simp only [toBlock_apply, mul_apply]
   rw [Finset.sum_subtype]
   simp [Pi.top_apply, Prop.top_eq_true]
@@ -931,7 +931,7 @@ theorem toBlock_mul_eq_add {m n k : Type _} [Fintype n] (p : m → Prop) (q : n
     [DecidablePred q] (r : k → Prop) (A : Matrix m n R) (B : Matrix n k R) : (A ⬝ B).toBlock p r =
     A.toBlock p q ⬝ B.toBlock q r + (A.toBlock p fun i => ¬q i) ⬝ B.toBlock (fun i => ¬q i) r := by
   classical
-    ext (i k)
+    ext i k
     simp only [toBlock_apply, mul_apply, Pi.add_apply]
     exact (Fintype.sum_subtype_add_sum_subtype q fun x => A (↑i) x * B x ↑k).symm
 #align matrix.to_block_mul_eq_add Matrix.toBlock_mul_eq_add
chore: fix upper/lowercase in comments (#4360)
  • Run a non-interactive version of fix-comments.py on all files.
  • Go through the diff and manually add/discard/edit chunks.
Diff
@@ -338,7 +338,7 @@ section Zero
 variable [Zero α] [Zero β]
 
 /-- `Matrix.blockDiagonal M` turns a homogenously-indexed collection of matrices
-`M : o → matrix m n α'` into a `m × o`-by-`n × o` block matrix which has the entries of `M` along
+`M : o → Matrix m n α'` into a `m × o`-by-`n × o` block matrix which has the entries of `M` along
 the diagonal and zero elsewhere.
 
 See also `Matrix.blockDiagonal'` if the matrices may not have the same size everywhere.
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Ellen Arlt, Blair Shi, Sean Leather, Mario Carneiro, Johan Commelin
 
 ! This file was ported from Lean 3 source module data.matrix.block
-! leanprover-community/mathlib commit b5665fd3fb2a80ee05ff42b6031ef2055b8f9d85
+! leanprover-community/mathlib commit c060baa79af5ca092c54b8bf04f0f10592f59489
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -234,6 +234,12 @@ theorem fromBlocks_neg [Neg R] (A : Matrix n l R) (B : Matrix n m R) (C : Matrix
   cases i <;> cases j <;> simp [fromBlocks]
 #align matrix.from_blocks_neg Matrix.fromBlocks_neg
 
+@[simp]
+theorem fromBlocks_zero [Zero α] : fromBlocks (0 : Matrix n l α) 0 0 (0 : Matrix o m α) = 0 := by
+  ext (i j)
+  rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> rfl
+#align matrix.from_blocks_zero Matrix.fromBlocks_zero
+
 theorem fromBlocks_add [Add α] (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) (A' : Matrix n l α) (B' : Matrix n m α) (C' : Matrix o l α)
     (D' : Matrix o m α) :
chore: update SHA (#3711)

I forgot to update the SHA in #3675

Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Ellen Arlt, Blair Shi, Sean Leather, Mario Carneiro, Johan Commelin
 
 ! This file was ported from Lean 3 source module data.matrix.block
-! leanprover-community/mathlib commit eba5bb3155cab51d80af00e8d7d69fa271b1302b
+! leanprover-community/mathlib commit b5665fd3fb2a80ee05ff42b6031ef2055b8f9d85
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
Diff
@@ -128,6 +128,22 @@ theorem toBlocks_fromBlocks₂₂ (A : Matrix n l α) (B : Matrix n m α) (C : M
   rfl
 #align matrix.to_blocks_from_blocks₂₂ Matrix.toBlocks_fromBlocks₂₂
 
+/-- Two block matrices are equal if their blocks are equal. -/
+theorem ext_iff_blocks {A B : Matrix (Sum n o) (Sum l m) α} :
+    A = B ↔
+      A.toBlocks₁₁ = B.toBlocks₁₁ ∧
+        A.toBlocks₁₂ = B.toBlocks₁₂ ∧ A.toBlocks₂₁ = B.toBlocks₂₁ ∧ A.toBlocks₂₂ = B.toBlocks₂₂ :=
+  ⟨fun h => h ▸ ⟨rfl, rfl, rfl, rfl⟩, fun ⟨h₁₁, h₁₂, h₂₁, h₂₂⟩ => by
+    rw [← fromBlocks_toBlocks A, ← fromBlocks_toBlocks B, h₁₁, h₁₂, h₂₁, h₂₂]⟩
+#align matrix.ext_iff_blocks Matrix.ext_iff_blocks
+
+@[simp]
+theorem fromBlocks_inj {A : Matrix n l α} {B : Matrix n m α} {C : Matrix o l α} {D : Matrix o m α}
+    {A' : Matrix n l α} {B' : Matrix n m α} {C' : Matrix o l α} {D' : Matrix o m α} :
+    fromBlocks A B C D = fromBlocks A' B' C' D' ↔ A = A' ∧ B = B' ∧ C = C' ∧ D = D' :=
+  ext_iff_blocks
+#align matrix.from_blocks_inj Matrix.fromBlocks_inj
+
 theorem fromBlocks_map (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α) (D : Matrix o m α)
     (f : α → β) : (fromBlocks A B C D).map f = fromBlocks (A.map f) (B.map f) (C.map f) (D.map f) :=
   by ext (i j); rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> simp [fromBlocks]
@@ -529,6 +545,17 @@ theorem blockDiag_blockDiagonal [DecidableEq o] (M : o → Matrix m n α) :
   funext fun _ => ext fun i j => blockDiagonal_apply_eq M i j _
 #align matrix.block_diag_block_diagonal Matrix.blockDiag_blockDiagonal
 
+theorem blockDiagonal_injective [DecidableEq o] :
+    Function.Injective (blockDiagonal : (o → Matrix m n α) → Matrix _ _ α) :=
+  Function.LeftInverse.injective blockDiag_blockDiagonal
+#align matrix.block_diagonal_injective Matrix.blockDiagonal_injective
+
+@[simp]
+theorem blockDiagonal_inj [DecidableEq o] {M N : o → Matrix m n α} :
+    blockDiagonal M = blockDiagonal N ↔ M = N :=
+  blockDiagonal_injective.eq_iff
+#align matrix.block_diagonal_inj Matrix.blockDiagonal_inj
+
 @[simp]
 theorem blockDiag_one [DecidableEq o] [DecidableEq m] [One α] :
     blockDiag (1 : Matrix (m × o) (m × o) α) = 1 :=
@@ -821,6 +848,17 @@ theorem blockDiag'_blockDiagonal' [DecidableEq o] (M : ∀ i, Matrix (m' i) (n'
   funext fun _ => ext fun _ _ => blockDiagonal'_apply_eq M _ _ _
 #align matrix.block_diag'_block_diagonal' Matrix.blockDiag'_blockDiagonal'
 
+theorem blockDiagonal'_injective [DecidableEq o] :
+    Function.Injective (blockDiagonal' : (∀ i, Matrix (m' i) (n' i) α) → Matrix _ _ α) :=
+  Function.LeftInverse.injective blockDiag'_blockDiagonal'
+#align matrix.block_diagonal'_injective Matrix.blockDiagonal'_injective
+
+@[simp]
+theorem blockDiagonal'_inj [DecidableEq o] {M N : ∀ i, Matrix (m' i) (n' i) α} :
+    blockDiagonal' M = blockDiagonal' N ↔ M = N :=
+  blockDiagonal'_injective.eq_iff
+#align matrix.block_diagonal'_inj Matrix.blockDiagonal'_inj
+
 @[simp]
 theorem blockDiag'_one [DecidableEq o] [∀ i, DecidableEq (m' i)] [One α] :
     blockDiag' (1 : Matrix (Σi, m' i) (Σi, m' i) α) = 1 :=
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Ellen Arlt, Blair Shi, Sean Leather, Mario Carneiro, Johan Commelin
 
 ! This file was ported from Lean 3 source module data.matrix.block
-! leanprover-community/mathlib commit 3e068ece210655b7b9a9477c3aff38a492400aa1
+! leanprover-community/mathlib commit eba5bb3155cab51d80af00e8d7d69fa271b1302b
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -31,10 +31,15 @@ variable {l m n o p q : Type _} {m' n' p' : o → Type _}
 
 variable {R : Type _} {S : Type _} {α : Type _} {β : Type _}
 
-open Matrix
+open BigOperators Matrix
 
 namespace Matrix
 
+theorem dotProduct_block [Fintype m] [Fintype n] [Mul α] [AddCommMonoid α] (v w : Sum m n → α) :
+    v ⬝ᵥ w = v ∘ Sum.inl ⬝ᵥ w ∘ Sum.inl + v ∘ Sum.inr ⬝ᵥ w ∘ Sum.inr :=
+  Fintype.sum_sum_type _
+#align matrix.dot_product_block Matrix.dotProduct_block
+
 section BlockMatrices
 
 /-- We can form a single large matrix by flattening smaller 'block' matrices of compatible
chore: tidy various files (#3530)
Diff
@@ -93,35 +93,35 @@ def toBlocks₂₂ (M : Matrix (Sum n o) (Sum l m) α) : Matrix o m α :=
   of fun i j => M (Sum.inr i) (Sum.inr j)
 #align matrix.to_blocks₂₂ Matrix.toBlocks₂₂
 
-theorem fromBlocks_to_blocks (M : Matrix (Sum n o) (Sum l m) α) :
+theorem fromBlocks_toBlocks (M : Matrix (Sum n o) (Sum l m) α) :
     fromBlocks M.toBlocks₁₁ M.toBlocks₁₂ M.toBlocks₂₁ M.toBlocks₂₂ = M := by
   ext i j
   rcases i with ⟨⟩ <;> rcases j with ⟨⟩ <;> rfl
-#align matrix.from_blocks_to_blocks Matrix.fromBlocks_to_blocks
+#align matrix.from_blocks_to_blocks Matrix.fromBlocks_toBlocks
 
 @[simp]
-theorem to_blocks_from_blocks₁₁ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
+theorem toBlocks_fromBlocks₁₁ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : (fromBlocks A B C D).toBlocks₁₁ = A :=
   rfl
-#align matrix.to_blocks_from_blocks₁₁ Matrix.to_blocks_from_blocks₁₁
+#align matrix.to_blocks_from_blocks₁₁ Matrix.toBlocks_fromBlocks₁₁
 
 @[simp]
-theorem to_blocks_from_blocks₁₂ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
+theorem toBlocks_fromBlocks₁₂ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : (fromBlocks A B C D).toBlocks₁₂ = B :=
   rfl
-#align matrix.to_blocks_from_blocks₁₂ Matrix.to_blocks_from_blocks₁₂
+#align matrix.to_blocks_from_blocks₁₂ Matrix.toBlocks_fromBlocks₁₂
 
 @[simp]
-theorem to_blocks_from_blocks₂₁ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
+theorem toBlocks_fromBlocks₂₁ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : (fromBlocks A B C D).toBlocks₂₁ = C :=
   rfl
-#align matrix.to_blocks_from_blocks₂₁ Matrix.to_blocks_from_blocks₂₁
+#align matrix.to_blocks_from_blocks₂₁ Matrix.toBlocks_fromBlocks₂₁
 
 @[simp]
-theorem to_blocks_from_blocks₂₂ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
+theorem toBlocks_fromBlocks₂₂ (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α)
     (D : Matrix o m α) : (fromBlocks A B C D).toBlocks₂₂ = D :=
   rfl
-#align matrix.to_blocks_from_blocks₂₂ Matrix.to_blocks_from_blocks₂₂
+#align matrix.to_blocks_from_blocks₂₂ Matrix.toBlocks_fromBlocks₂₂
 
 theorem fromBlocks_map (A : Matrix n l α) (B : Matrix n m α) (C : Matrix o l α) (D : Matrix o m α)
     (f : α → β) : (fromBlocks A B C D).map f = fromBlocks (A.map f) (B.map f) (C.map f) (D.map f) :=
@@ -430,7 +430,7 @@ theorem blockDiagonal_sub [AddGroup α] (M N : o → Matrix m n α) :
 theorem blockDiagonal_mul [Fintype n] [Fintype o] [NonUnitalNonAssocSemiring α]
     (M : o → Matrix m n α) (N : o → Matrix n p α) :
     (blockDiagonal fun k => M k ⬝ N k) = blockDiagonal M ⬝ blockDiagonal N := by
-  ext (⟨i, k⟩⟨j, k'⟩)
+  ext (⟨i, k⟩ ⟨j, k'⟩)
   simp only [blockDiagonal_apply, mul_apply, ← Finset.univ_product_univ, Finset.sum_product]
   split_ifs with h <;> simp [h]
 #align matrix.block_diagonal_mul Matrix.blockDiagonal_mul
@@ -443,8 +443,7 @@ variable (α m o)
 @[simps]
 def blockDiagonalRingHom [DecidableEq m] [Fintype o] [Fintype m] [NonAssocSemiring α] :
     (o → Matrix m m α) →+* Matrix (m × o) (m × o) α :=
-  {
-    blockDiagonalAddMonoidHom m m o α with
+  { blockDiagonalAddMonoidHom m m o α with
     toFun := blockDiagonal
     map_one' := blockDiagonal_one
     map_mul' := blockDiagonal_mul }
@@ -477,7 +476,7 @@ def blockDiag (M : Matrix (m × o) (n × o) α) (k : o) : Matrix m n α :=
   of fun i j => M (i, k) (j, k)
 #align matrix.block_diag Matrix.blockDiag
 
--- TODO: set as an equation lemma for `block_diag`, see mathlib4#3024
+-- TODO: set as an equation lemma for `blockDiag`, see mathlib4#3024
 theorem blockDiag_apply (M : Matrix (m × o) (n × o) α) (k : o) (i j) :
     blockDiag M k i j = M (i, k) (j, k) :=
   rfl
@@ -580,7 +579,7 @@ section Zero
 
 variable [Zero α] [Zero β]
 
-/-- `Matrix.blockDiagonal' M` turns `M : Π i, matrix (m i) (n i) α` into a
+/-- `Matrix.blockDiagonal' M` turns `M : Π i, Matrix (m i) (n i) α` into a
 `Σ i, m i`-by-`Σ i, n i` block matrix which has the entries of `M` along the diagonal
 and zero elsewhere.
 
@@ -735,8 +734,7 @@ variable (α m')
 @[simps]
 def blockDiagonal'RingHom [∀ i, DecidableEq (m' i)] [Fintype o] [∀ i, Fintype (m' i)]
     [NonAssocSemiring α] : (∀ i, Matrix (m' i) (m' i) α) →+* Matrix (Σi, m' i) (Σi, m' i) α :=
-  { blockDiagonal'AddMonoidHom m' m'
-      α with
+  { blockDiagonal'AddMonoidHom m' m' α with
     toFun := blockDiagonal'
     map_one' := blockDiagonal'_one
     map_mul' := blockDiagonal'_mul }
@@ -886,7 +884,7 @@ theorem toBlock_mul_eq_add {m n k : Type _} [Fintype n] (p : m → Prop) (q : n
   classical
     ext (i k)
     simp only [toBlock_apply, mul_apply, Pi.add_apply]
-    convert(Fintype.sum_subtype_add_sum_subtype q fun x => A (↑i) x * B x ↑k).symm
+    exact (Fintype.sum_subtype_add_sum_subtype q fun x => A (↑i) x * B x ↑k).symm
 #align matrix.to_block_mul_eq_add Matrix.toBlock_mul_eq_add
 
 end
feat: port Data.Matrix.Block (#3232)

Co-authored-by: Parcly Taxel <reddeloostw@gmail.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

Dependencies 8 + 384

385 files ported (98.0%)
159687 lines ported (98.1%)
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The unported dependencies are